CN105067354A - A progressive identification method for cable loads in simplified generalized displacement mixed monitoring problems - Google Patents
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Abstract
精简广义位移混合监测问题索载荷递进式识别方法基于混合监测,通过监测支座广义位移、索结构温度和环境温度来决定是否需要更新索结构的力学计算基准模型,得到计入支座广义位移、索结构温度和环境温度的索结构的力学计算基准模型,在此模型的基础上计算获得单位损伤被监测量数值变化矩阵。依据被监测量当前数值向量同被监测量当前初始数值向量、单位损伤被监测量数值变化矩阵和待求的被评估对象当前名义损伤向量间存在的近似线性关系算出被评估对象当前名义损伤向量的非劣解,据此可以识别核心被评估对象的健康状态。Simplified generalized displacement mixed monitoring problem The progressive identification method of cable load is based on mixed monitoring. By monitoring the generalized displacement of the support, the temperature of the cable structure and the ambient temperature, it is determined whether it is necessary to update the mechanical calculation benchmark model of the cable structure, and the generalized displacement of the support is included. , cable structure temperature and ambient temperature mechanical calculation benchmark model of the cable structure, on the basis of this model, the numerical change matrix of the unit damage monitored quantity is calculated and obtained. According to the approximate linear relationship between the current numerical vector of the monitored quantity and the current initial numerical vector of the monitored quantity, the numerical change matrix of the monitored quantity per unit damage, and the current nominal damage vector of the assessed object to be calculated, the value of the current nominal damage vector of the assessed object is calculated. Non-inferior solutions, based on which the health status of the core evaluated objects can be identified.
Description
技术领域technical field
斜拉桥、悬索桥、桁架结构等结构有一个共同点,就是它们有许多承受拉伸载荷的部件,如斜拉索、主缆、吊索、拉杆等等,该类结构的共同点是以索、缆或仅承受拉伸载荷的杆件为支承部件,为方便起见,本方法将该类结构表述为“索结构”,并将索结构的所有承载索、承载缆,及所有仅承受轴向拉伸或轴向压缩载荷的杆件(又称为二力杆件),为方便起见统一称为“索系统”,本方法中用“支承索”这一名词指称承载索、承载缆及仅承受轴向拉伸或轴向压缩载荷的杆件,有时简称为“索”,所以在后面使用“索”这个字的时候,对桁架结构实际就是指二力杆件。支承索的受损和松弛对索结构安全是一项重大威胁,本方法将受损索和松弛索统称为有健康问题的支承索,简称为问题索。在结构服役过程中,对支承索或索系统的健康状态的正确识别关系到整个索结构的安全。在环境温度发生变化时,索结构的温度一般也会随着发生变化,在索结构温度发生变化时,索结构支座可能发生广义位移,索结构承受的载荷也可能发生变化,同时索结构的健康状态也可能在发生变化,在这种复杂条件下,本方法基于混合监测(本方法通过对本节前述不同类型的索结构的可测量参数的变化的混合监测来判断索结构的健康状态,本方法将所有被监测的索结构特征参量统称为“被监测量”,由于此时被监测量是由索结构的不同类型的可测量参数混合组成,本方法称此为混合监测)来识别问题索,属工程结构健康监测领域。Cable-stayed bridges, suspension bridges, truss structures and other structures have one thing in common, that is, they have many parts that bear tensile loads, such as cable-stayed cables, main cables, slings, tie rods, etc. , cables, or rods that only bear tensile loads are supporting components. For the sake of convenience, this method expresses this type of structure as For the sake of convenience, the rods with tensile or axial compression loads (also known as two-force rods) are collectively referred to as "cable systems". In this method, the term "supporting cables" is used to refer to load-bearing cables, A member that bears axial tension or axial compression load is sometimes referred to as a "cable", so when the word "cable" is used later, it actually refers to a two-force member for a truss structure. The damage and slack of supporting cables is a major threat to the safety of cable structures. In this method, damaged cables and slack cables are collectively referred to as supporting cables with health problems, referred to as problem cables for short. During the service process of the structure, the correct identification of the health state of the supporting cables or the cable system is related to the safety of the entire cable structure. When the ambient temperature changes, the temperature of the cable structure will generally change accordingly. When the temperature of the cable structure changes, the support of the cable structure may undergo a generalized displacement, and the load on the cable structure may also change. The health status may also be changing. Under such complex conditions, this method is based on hybrid monitoring (this method judges the health status of the cable structure through the hybrid monitoring of changes in the measurable parameters of different types of cable structures mentioned in this section. In the method, all the monitored characteristic parameters of the cable structure are collectively referred to as "monitored quantity". Since the monitored quantity is composed of different types of measurable parameters of the cable structure, this method is called mixed monitoring) to identify problem cables. , which belongs to the field of engineering structure health monitoring.
背景技术Background technique
剔除载荷变化、索结构支座广义位移和结构温度变化对索结构健康状态识别结果的影响,从而准确地识别结构的健康状态的变化,是目前迫切需要解决的问题,本方法公开了解决这个问题的一种有效的、廉价的方法。Eliminating the influence of load changes, generalized displacements of cable structure supports, and structural temperature changes on the identification results of the cable structure's health status, thereby accurately identifying changes in the health status of the structure is an urgent problem that needs to be solved. This method discloses the solution to this problem an effective and inexpensive method.
发明内容Contents of the invention
技术问题:本方法公开了一种方法,在造价更低的条件下,在支座有广义位移时,在结构承受的载荷和结构(环境)温度变化时,能够剔除支座广义位移、载荷变化和结构温度变化对索结构健康状态识别结果的影响,从而准确地识别出支承索的健康状态。Technical problem: This method discloses a method, under the condition of lower construction cost, when the support has a generalized displacement, when the load on the structure and the structure (environment) temperature change, the generalized displacement and load change of the support can be eliminated And the impact of structural temperature changes on the identification results of the cable structure health status, so as to accurately identify the health status of the supporting cables.
技术方案:在本方法中,用“支座空间坐标”指称支座关于笛卡尔直角坐标系的X、Y、Z轴的坐标,也可以说成是支座关于X、Y、Z轴的空间坐标,支座关于某一个轴的空间坐标的具体数值称为支座关于该轴的空间坐标分量,本方法中也用支座的一个空间坐标分量表达支座关于某一个轴的空间坐标的具体数值;用“支座角坐标”指称支座关于X、Y、Z轴的角坐标,支座关于某一个轴的角坐标的具体数值称为支座关于该轴的角坐标分量,本方法中也用支座的一个角坐标分量表达支座关于某一个轴的角坐标的具体数值;用“支座广义坐标”指称支座角坐标和支座空间坐标全体,本方法中也用支座的一个广义坐标分量表达支座关于一个轴的空间坐标或角坐标的具体数值;支座关于X、Y、Z轴的坐标的改变称为支座线位移,也可以说支座空间坐标的改变称为支座线位移,本方法中也用支座的一个线位移分量表达支座关于某一个轴的线位移的具体数值;支座关于X、Y、Z轴的角坐标的改变称为支座角位移,本方法中也用支座的一个角位移分量表达支座关于某一个轴的角位移的具体数值;支座广义位移指称支座线位移和支座角位移全体,本方法中也用支座的一个广义位移分量表达支座关于某一个轴的线位移或角位移的具体数值;支座线位移也可称为平移位移,支座沉降是支座线位移或平移位移在重力方向的分量。Technical solution: In this method, "support space coordinates" refers to the coordinates of the support on the X, Y, and Z axes of the Cartesian coordinate system, and can also be said to be the space of the support on the X, Y, and Z axes. Coordinates, the specific value of the spatial coordinate of the support about a certain axis is called the spatial coordinate component of the support about the axis. In this method, a spatial coordinate component of the support is also used to express the specific value of the spatial coordinate of the support about a certain axis. Numerical value; use "support angular coordinates" to refer to the angular coordinates of the support with respect to the X, Y, and Z axes, and the specific value of the angular coordinates of the support with respect to a certain axis is called the angular coordinate component of the support with respect to the axis. In this method An angular coordinate component of the support is also used to express the specific value of the angular coordinate of the support with respect to a certain axis; the "generalized coordinate of the support" is used to refer to the angular coordinates of the support and the space coordinates of the support as a whole. In this method, the support's A generalized coordinate component expresses the specific value of the space coordinate or angular coordinate of the support about an axis; the change of the coordinate of the support about the X, Y, and Z axes is called the line displacement of the support, and it can also be said that the change of the space coordinate of the support is called is the linear displacement of the support. In this method, a linear displacement component of the support is also used to express the specific value of the linear displacement of the support about a certain axis; the change of the angular coordinates of the support about the X, Y, and Z axes is called the support Angular displacement, in this method, an angular displacement component of the support is also used to express the specific value of the angular displacement of the support with respect to a certain axis; the generalized displacement of the support refers to the overall displacement of the support line and the angular displacement of the support, and this method also uses A generalized displacement component of the support expresses the specific value of the linear displacement or angular displacement of the support about a certain axis; the linear displacement of the support can also be called translational displacement, and the settlement of the support is the linear displacement or translational displacement of the support in the direction of gravity portion.
物体、结构承受的外力可称为载荷,载荷包括面载荷和体积载荷。面载荷又称表面载荷,是作用于物体表面的载荷,包括集中载荷和分布载荷两种。体积载荷是连续分布于物体内部各点的载荷,如物体的自重和惯性力。The external force borne by objects and structures can be called load, and the load includes surface load and body load. Surface load, also known as surface load, is a load acting on the surface of an object, including concentrated load and distributed load. Body load is the load continuously distributed at various points inside the object, such as the object's own weight and inertial force.
集中载荷分为集中力和集中力偶两种,在坐标系中,例如在笛卡尔直角坐标系中,一个集中力可以分解成三个分量,同样的,一个集中力偶也可以分解成三个分量,如果载荷实际上是集中载荷,在本方法中将一个集中力分量或一个集中力偶分量称为一个载荷,此时载荷的变化具体化为一个集中力分量或一个集中力偶分量的变化。Concentrated load is divided into concentrated force and concentrated force couple. In a coordinate system, such as a Cartesian rectangular coordinate system, a concentrated force can be decomposed into three components. Similarly, a concentrated force couple can also be decomposed into three components. If the load is actually a concentrated load, a concentrated force component or a concentrated force couple component is called a load in this method, and the change of the load at this time is embodied as a change of a concentrated force component or a concentrated force couple component.
分布载荷分为线分布载荷和面分布载荷,分布载荷的描述至少包括分布载荷的作用区域和分布载荷的大小,分布载荷的大小用分布集度来表达,分布集度用分布特征(例如均布、正弦函数等分布特征)和幅值来表达(例如两个分布载荷都是均布,但其幅值不同,可以均布压力为例来说明幅值的概念:同一个结构承受两个不同的均布压力,两个分布载荷都是均布载荷,但一个分布载荷的幅值是10MPa,另一个分布载荷的幅值是50MPa)。如果载荷实际上是分布载荷,本方法谈论载荷的变化时,实际上是指分布载荷分布集度的幅值的改变,而分布载荷的作用区域和分布集度的分布特征是不变的。在坐标系中,一个分布载荷可以分解成若干个分量,如果这分布载荷的若干个分量的各自的分布集度的幅值发生变化,且变化的比率不全部相同,那么在本方法中把这若干个分布载荷的分量看成同样数量的独立的分布载荷,此时一个载荷就代表一个分布载荷的分量,也可以将其中分布集度的幅值变化比率相同的分量合成为一个分布载荷或称为一个载荷。Distributed load is divided into line distributed load and surface distributed load. The description of distributed load includes at least the action area of distributed load and the size of distributed load. , sine function and other distribution characteristics) and amplitude to express (for example, two distributed loads are uniformly distributed, but their amplitudes are different, uniform pressure can be used as an example to illustrate the concept of amplitude: the same structure bears two different loads Uniformly distributed pressure, both distributed loads are uniformly distributed loads, but the amplitude of one distributed load is 10MPa, and the amplitude of the other distributed load is 50MPa). If the load is actually a distributed load, when this method talks about the change of the load, it actually refers to the change of the amplitude of the distribution concentration of the distributed load, while the action area of the distributed load and the distribution characteristics of the distribution concentration remain unchanged. In the coordinate system, a distributed load can be decomposed into several components. If the amplitudes of the respective distribution concentration of several components of the distributed load change, and the ratios of the changes are not all the same, then in this method, the Several distributed load components are regarded as the same number of independent distributed loads. At this time, one load represents a distributed load component, and the components with the same amplitude change ratio of the distribution concentration can also be combined into a distributed load or called for a load.
体积载荷是连续分布于物体内部各点的载荷,如物体的自重和惯性力,体积载荷的描述至少包括体积载荷的作用区域和体积载荷的大小,体积载荷的大小用分布集度来表达,分布集度用分布特征(例如均布、线性函数等分布特征)和幅值来表达(例如两个体积载荷都是均布,但其幅值不同,可以自重为例来说明幅值的概念:同一个结构的两个部分的材料不同,故密度不同,所以虽然这两个部分所受的体积载荷都是均布的,但一个部分所受的体积载荷的幅值可能是10kN/m3,另一个部分所受的体积载荷的幅值是50kN/m3)。如果载荷实际上是体积载荷,在本方法中实际处理的是体积载荷分布集度的幅值的改变,而体积载荷的作用区域和分布集度的分布特征是不变的,此时在本方法中提到载荷的改变时实际上是指体积载荷的分布集度的幅值的改变,此时,发生变化的载荷是指那些分布集度的幅值发生变化的体积载荷。在坐标系中,一个体积载荷可以分解成若干个分量(例如在笛卡尔直角坐标系中,体积载荷可以分解成关于坐标系的三个轴的分量,也就是说,在笛卡尔直角坐标系中体积载荷可以分解成三个分量),如果这体积载荷的若干个分量的各自的分布集度的幅值发生变化,且变化的比率不全部相同,那么在本方法中把这若干个体积载荷的分量看成同样数量的独立的载荷,也可以将其中分布集度的幅值变化比率相同的体积载荷分量合成为一个体积载荷或称为一个载荷。Body load is the load continuously distributed at various points inside the object, such as the self-weight and inertial force of the object. The description of the body load includes at least the action area of the body load and the size of the body load. The size of the body load is expressed by the degree of distribution, and the distribution Concentration is expressed by distribution characteristics (such as uniform distribution, linear function and other distribution characteristics) and amplitude (for example, two body loads are uniformly distributed, but their amplitudes are different. The concept of amplitude can be illustrated by self-weight as an example: the same The two parts of a structure are made of different materials and therefore have different densities, so although the body loads on both parts are uniformly distributed, the magnitude of the body load on one part may be 10kN/m 3 and the other may be A part is subjected to a body load of magnitude 50kN/m 3 ). If the load is actually a body load, what is actually dealt with in this method is the change in the magnitude of the distribution concentration of the body load, while the action area of the body load and the distribution characteristics of the distribution concentration remain unchanged. At this time, in this method When referring to the change of the load in , it actually refers to the change of the magnitude of the distribution concentration of the body load. At this time, the changed load refers to the body load whose distribution concentration changes. In the coordinate system, a body load can be decomposed into several components (for example, in the Cartesian coordinate system, the body load can be decomposed into components about the three axes of the coordinate system, that is, in the Cartesian coordinate system body load can be decomposed into three components), if the magnitude of the respective distribution concentration of several components of the body load changes, and the ratios of changes are not all the same, then in this method, the The components are regarded as the same number of independent loads, and the body load components with the same amplitude change ratio of the distribution concentration can also be synthesized into a body load or called a load.
当载荷具体化为集中载荷时,在本方法中,“载荷单位变化”实际上是指“集中载荷的单位变化”,类似的,“载荷变化”具体指“集中载荷的大小的变化”,“载荷变化量”具体指“集中载荷的大小的变化量”,“载荷变化程度”具体指“集中载荷的大小的变化程度”,“载荷的实际变化量”是指“集中载荷的大小的实际变化量”,“发生变化的载荷”是指“大小发生变化的集中载荷”,简单地说,此时“某某载荷的某某变化”是指“某某集中载荷的大小的某某变化”。When the load is embodied as concentrated load, in this method, "load unit change" actually refers to "unit change of concentrated load", similarly, "load change" specifically refers to "change in magnitude of concentrated load", " "Load change" specifically refers to "the change in the size of the concentrated load", "the degree of load change" specifically refers to the "change degree of the concentrated load", and "the actual change in the load" refers to the "actual change in the size of the concentrated load". Amount", "changed load" refers to "concentrated load whose size changes". Simply put, at this time, "a certain change in a certain load" refers to "a certain change in the size of a certain concentrated load".
当载荷具体化为分布载荷时,在本方法中,“载荷单位变化”实际上是指“分布载荷的分布集度的幅值的单位变化”,而分布载荷的分布特征是不变的,类似的,“载荷变化”具体指“分布载荷的分布集度的幅值的变化”,而分布载荷的分布特征是不变的,“载荷变化量”具体指“分布载荷的分布集度的幅值的变化量”,“载荷变化程度”具体指“分布载荷的分布集度的幅值的变化程度”,“载荷的实际变化量”具体指“分布载荷的分布集度的幅值的实际变化量”,“发生变化的载荷”是指“分布集度的幅值发生变化的分布载荷”,简单地说,此时“某某载荷的某某变化”是指“某某分布载荷的分布集度的幅值的某某变化”,而所有分布载荷的作用区域和分布集度的分布特征是不变的。When the load is embodied as a distributed load, in this method, "the unit change of the load" actually refers to "the unit change of the amplitude of the distribution concentration of the distributed load", and the distribution characteristics of the distributed load are unchanged, similar to The "load change" specifically refers to "the change in the magnitude of the distribution concentration of the distributed load", while the distribution characteristics of the distributed load are unchanged, and the "load change" specifically refers to the "magnitude of the distribution concentration of the distributed load". The change amount of the load", "the degree of load change" specifically refers to the "change degree of the amplitude of the distribution concentration of the distributed load", and the "actual change of the load" specifically refers to the "actual change of the amplitude of the distribution concentration of the distributed load ", "changed load" refers to "distributed load whose amplitude of distribution intensity changes". A certain change in the amplitude of the load", while the distribution characteristics of the action area and distribution concentration of all distributed loads remain unchanged.
当载荷具体化为体积载荷时,在本方法中,“载荷单位变化”实际上是指“体积载荷的分布集度的幅值的单位变化”,类似的,“载荷变化”是指“体积载荷的分布集度的幅值的变化”,“载荷变化量”是指“体积载荷的分布集度的幅值的变化量”,“载荷变化程度”是指“体积载荷的分布集度的幅值的变化程度”,“载荷的实际变化量”是指“体积载荷的分布集度的幅值的实际变化量”,“发生变化的载荷”是指“分布集度的幅值发生变化的体积载荷”,简单地说,“某某载荷的某某变化”是指“某某体积载荷的分布集度的幅值的某某变化”,而所有体积载荷的作用区域和分布集度的分布特征是不变的。When the load is embodied as body load, in this method, "load unit change" actually refers to "unit change in the amplitude of distribution concentration of body load", similarly, "load change" means "body load The change of the magnitude of the distribution concentration of the body load", the "load change" refers to the "change of the magnitude of the distribution concentration of the body load", and the "load change degree" refers to the "magnitude of the distribution concentration of the body load The degree of change", "the actual change of the load" refers to the "actual change of the magnitude of the distribution concentration of the body load", and "the changed load" refers to the "body load whose distribution concentration changes. ", simply put, "a certain change in a certain load" refers to "a certain change in the magnitude of the distribution concentration of a certain body load", and the distribution characteristics of the action area and distribution concentration of all body loads are Changeless.
本方法具体包括:This method specifically includes:
a.当索结构承受的载荷虽有变化,但索结构正在承受的载荷没有超出索结构初始许用载荷时,本方法适用;索结构初始许用载荷指索结构在竣工时的许用载荷,能够通过常规力学计算获得;本方法统一称被评估的支承索和载荷为“被评估对象”,设被评估的支承索的数量和载荷的数量之和为N,即“被评估对象”的数量为N;本方法用名称“核心被评估对象”专指“被评估对象”中的被评估的支承索,本方法用名称“次要被评估对象”专指“被评估对象”中的被评估的载荷;确定被评估对象的编号规则,按此规则将索结构中所有的被评估对象编号,该编号在后续步骤中将用于生成向量和矩阵;本方法用变量k表示这一编号,k=1,2,3,…,N;确定混合监测时指定的将被监测索力的支承索,设索系统中共有Q根支承索,显然核心被评估对象的数量就是Q;索结构的被监测的索力数据由索结构上M1个指定支承索的M1个索力数据来描述,索结构索力的变化就是所有指定支承索的索力的变化;每次共有M1个索力测量值或计算值来表征索结构的索力信息;M1是一个不小于0不大于Q的整数;确定混合监测时指定的将被监测应变的被测量点,索结构的被监测的应变数据可由索结构上K2个指定点的、及每个指定点的L2个指定方向的应变来描述,索结构应变数据的变化就是K2个指定点的所有被测应变的变化;每次共有M2个应变测量值或计算值来表征索结构应变,M2为K2和L2之积;M2是不小于0的整数;确定混合监测时指定的将被监测角度的被测量点,索结构的被监测的角度数据由索结构上K3个指定点的、过每个指定点的L3个指定直线的、每个指定直线的H3个角度坐标分量来描述,索结构角度的变化就是所有指定点的、所有指定直线的、所有指定的角度坐标分量的变化;每次共有M3个角度坐标分量测量值或计算值来表征索结构的角度信息,M3为K3、L3和H3之积;M3是一个不小于0的整数;确定混合监测时指定的将被监测的形状数据,索结构的被监测的形状数据由索结构上K4个指定点的、及每个指定点的L4个指定方向的空间坐标来描述,索结构形状数据的变化就是K4个指定点的所有坐标分量的变化;每次共有M4个坐标测量值或计算值来表征索结构形状,M4为K4和L4之积;M4是一个不小于0的整数;综合上述混合监测的被监测量,整个索结构共有M个被监测量,M为M1、M2、M3和M4之和,定义参量K,K为M1、K2、K3和K4之和,M必须大于核心被评估对象的数量,M小于被评估对象的数量;为方便起见,在本方法中将本步所列出的M个被监测量简称为“被监测量”;本方法中对同一个量实时监测的任何两次测量之间的时间间隔不得大于30分钟,测量记录数据的时刻称为实际记录数据时刻;物体、结构承受的外力可称为载荷,载荷包括面载荷和体积载荷;面载荷又称表面载荷,是作用于物体表面的载荷,包括集中载荷和分布载荷两种;体积载荷是连续分布于物体内部各点的载荷,包括物体的自重和惯性力在内;集中载荷分为集中力和集中力偶两种,在包括笛卡尔直角坐标系在内的坐标系中,一个集中力可以分解成三个分量,同样的,一个集中力偶也可以分解成三个分量,如果载荷实际上是集中载荷,在本方法中将一个集中力分量或一个集中力偶分量计为或统计为一个载荷,此时载荷的变化具体化为一个集中力分量或一个集中力偶分量的变化;分布载荷分为线分布载荷和面分布载荷,分布载荷的描述至少包括分布载荷的作用区域和分布载荷的大小,分布载荷的大小用分布集度来表达,分布集度用分布特征和幅值来表达;如果载荷实际上是分布载荷,本方法谈论载荷的变化时,实际上是指分布载荷分布集度的幅值的改变,而所有分布载荷的作用区域和分布集度的分布特征是不变的;在包括笛卡尔直角坐标系在内的坐标系中,一个分布载荷可以分解成三个分量,如果这分布载荷的三个分量的各自的分布集度的幅值发生变化,且变化的比率不全部相同,那么在本方法中把这分布载荷的三个分量计为或统计为三个分布载荷,此时一个载荷就代表分布载荷的一个分量;体积载荷是连续分布于物体内部各点的载荷,体积载荷的描述至少包括体积载荷的作用区域和体积载荷的大小,体积载荷的大小用分布集度来表达,分布集度用分布特征和幅值来表达;如果载荷实际上是体积载荷,在本方法中实际处理的是体积载荷分布集度的幅值的改变,而所有体积载荷的作用区域和分布集度的分布特征是不变的,此时在本方法中提到载荷的改变时实际上是指体积载荷的分布集度的幅值的改变,此时,发生变化的载荷是指那些分布集度的幅值发生变化的体积载荷;在包括笛卡尔直角坐标系在内的坐标系中,一个体积载荷可以分解成三个分量,如果这体积载荷的三个分量的各自的分布集度的幅值发生变化,且变化的比率不全部相同,那么在本方法中把这体积载荷的三个分量计为或统计为三个分布载荷;a. When the load borne by the cable structure changes, but the load the cable structure is bearing does not exceed the initial allowable load of the cable structure, this method is applicable; the initial allowable load of the cable structure refers to the allowable load of the cable structure at the time of completion, It can be obtained through conventional mechanical calculations; this method collectively refers to the evaluated supporting cables and loads as "assessed objects", and the sum of the number of evaluated supporting cables and the number of loads is N, which is the number of "assessed objects" is N; this method uses the name "core assessed object" to specifically refer to the assessed support cables in the "assessed object", and this method uses the name "secondary assessed object" to specifically refer to the assessed support cable in the "assessed object". load; determine the numbering rule of the evaluated object, according to this rule, number all the evaluated objects in the cable structure, and the number will be used to generate vectors and matrices in subsequent steps; this method uses the variable k to represent this number, k = 1, 2, 3, ..., N; determine the specified supporting cables to be monitored in the mixed monitoring, assuming that there are Q supporting cables in the cable system, obviously the number of core objects to be evaluated is Q; The monitored cable force data is described by M 1 cable force data of M 1 designated supporting cables on the cable structure, and the change of the cable structure cable force is the change of the cable force of all designated supporting cables; each time there are M 1 cable forces The measured value or calculated value is used to represent the cable force information of the cable structure; M 1 is an integer not less than 0 and not greater than Q; the measured point to be monitored for the specified strain in the mixed monitoring is determined, and the monitored strain data of the cable structure It can be described by K 2 designated points on the cable structure and the strains in L 2 designated directions of each designated point. The change of the strain data of the cable structure is the change of all the measured strains of the K 2 designated points; M 2 strain measurement values or calculated values to characterize the strain of the cable structure, M 2 is the product of K 2 and L 2 ; M 2 is an integer not less than 0; the measured point to be monitored at the angle specified during the mixed monitoring is determined, The monitored angle data of the cable structure is described by K 3 designated points on the cable structure, L 3 designated straight lines passing through each designated point, and H 3 angular coordinate components of each designated straight line. The change is the change of all specified points, all specified straight lines, and all specified angular coordinate components; each time there are M 3 measured or calculated values of angular coordinate components to represent the angle information of the cable structure, M 3 is K 3 , L 3 and H 3 product; M 3 is an integer not less than 0; the shape data to be monitored specified when determining the mixed monitoring, the monitored shape data of the cable structure is composed of K 4 specified points on the cable structure, and The spatial coordinates of L 4 designated directions of each designated point are used to describe the change of the cable structure shape data is the change of all coordinate components of the K 4 designated points; each time there are M 4 coordinate measurement values or calculated values to represent the cable structure. Structure shape, M 4 is the product of K 4 and L 4 ; M 4 is an integer not less than 0; based on the monitored quantities of the above mixed monitoring, the entire cable structure has a total of M monitored quantities, and M is M 1 and M 2 , the sum of M 3 and M 4 , Define the parameter K, K is the sum of M 1 , K 2 , K 3 and K 4 , M must be greater than the number of core evaluated objects, and M is smaller than the number of evaluated objects; for convenience, in this method, the The M monitored quantities listed are referred to as "monitored quantities" for short; the time interval between any two measurements of the same quantity monitored in real time in this method shall not be greater than 30 minutes, and the moment when the recorded data is measured is called the actual recorded data Time; the external force borne by objects and structures can be called load, which includes surface load and body load; surface load is also called surface load, which is a load acting on the surface of an object, including concentrated load and distributed load; body load is a continuous distribution The load on each point inside the object, including the self-weight and inertial force of the object; the concentrated load is divided into two types: concentrated force and concentrated force couple. In the coordinate system including the Cartesian coordinate system, a concentrated force can be decomposed into Three components. Similarly, a concentrated force couple can also be decomposed into three components. If the load is actually a concentrated load, in this method, a concentrated force component or a concentrated force couple component is counted or counted as a load. At this time The change of load is embodied as the change of a concentrated force component or a concentrated force couple component; distributed load is divided into line distributed load and surface distributed load, and the description of distributed load includes at least the action area of distributed load and the size of distributed load. The size is expressed by the distribution concentration, and the distribution concentration is expressed by the distribution characteristics and amplitude; if the load is actually a distributed load, when this method talks about the change of the load, it actually refers to the change of the amplitude of the distribution concentration of the distributed load , while the distribution characteristics of the action area and distribution concentration of all distributed loads remain unchanged; in a coordinate system including the Cartesian coordinate system, a distributed load can be decomposed into three components, if the three components of the distributed load The amplitudes of the respective distribution concentration of each component change, and the rate of change is not all the same, then in this method, the three components of the distributed load are counted or counted as three distributed loads, and one load is Represents a component of the distributed load; the body load is the load continuously distributed at each point inside the object, the description of the body load includes at least the action area of the body load and the size of the body load, the size of the body load is expressed by the degree of distribution, and the distribution set The degree is expressed by the distribution characteristics and amplitude; if the load is actually a body load, what is actually dealt with in this method is the change of the magnitude of the body load distribution concentration, while the action area of all body loads and the distribution of the distribution concentration The characteristics are unchanged. At this time, when the change of the load is mentioned in this method, it actually refers to the change of the magnitude of the distribution concentration of the body load. At this time, the changed load refers to the magnitude of the distribution concentration Body loads that change; in a coordinate system including Cartesian coordinates, a body load can be decomposed into three components, if the magnitude of the distribution of the three components of the body load changes, and the change ratios are not all the same, then in this method, the three components of the body load are counted or counted as three distributed loads;
b.本方法定义“本方法的索结构的温度测量计算方法”按步骤b1至b3进行;b. This method defines "the temperature measurement and calculation method of the cable structure of this method" according to steps b1 to b3;
b1:查询或实测得到索结构组成材料及索结构所处环境的随温度变化的传热学参数,利用索结构的设计图、竣工图和索结构的几何实测数据,利用这些数据和参数建立索结构的传热学计算模型;查询索结构所在地不少于2年的近年来的气象资料,统计得到这段时间内的阴天数量记为T个阴天,在本方法中将白天不能见到太阳的一整日称为阴天,统计得到T个阴天中每一个阴天的0时至次日日出时刻后30分钟之间的最高气温与最低气温,日出时刻是指根据地球自转和公转规律确定的气象学上的日出时刻,不表示当天一定可以看见太阳,能够查询资料或通过常规气象学计算得到所需的每一日的日出时刻,每一个阴天的0时至次日日出时刻后30分钟之间的最高气温减去最低气温称为该阴天的日气温的最大温差,有T个阴天,就有T个阴天的日气温的最大温差,取T个阴天的日气温的最大温差中的最大值为参考日温差,参考日温差记为ΔTr;查询索结构所在地和所在海拔区间不少于2年的近年来的气象资料或实测得到索结构所处环境的温度随时间和海拔高度的变化数据和变化规律,计算得到索结构所在地和所在海拔区间不少于2年的近年来的索结构所处环境的温度关于海拔高度的最大变化率ΔTh,为方便叙述取ΔTh的单位为℃/m;在索结构的表面上取“R个索结构表面点”,取“R个索结构表面点”的具体原则在步骤b3中叙述,后面将通过实测得到这R个索结构表面点的温度,称实测得到的温度数据为“R个索结构表面温度实测数据”,如果是利用索结构的传热学计算模型,通过传热计算得到这R个索结构表面点的温度,就称计算得到的温度数据为“R个索结构表面温度计算数据”;从索结构所处的最低海拔到最高海拔之间,在索结构上均布选取不少于三个不同的海拔高度,在每一个选取的海拔高度处、在水平面与索结构表面的交线处至少选取两个点,从选取点处引索结构表面的外法线,所有选取的外法线方向称为“测量索结构沿壁厚的温度分布的方向”,测量索结构沿壁厚的温度分布的方向与“水平面与索结构表面的交线”相交,在选取的测量索结构沿壁厚的温度分布的方向中必须包括索结构的向阳面外法线方向和索结构的背阴面外法线方向,沿每一个测量索结构沿壁厚的温度分布的方向在索结构中均布选取不少于三个点,对于支承索沿每一个测量索结构沿壁厚的温度分布的方向仅仅取一个点,仅仅测量支承索的表面点的温度,测量所有被选取点的温度,测得的温度称为“索结构沿厚度的温度分布数据”,其中沿与同一“水平面与索结构表面的交线”相交的、“测量索结构沿壁厚的温度分布的方向”测量获得的“索结构沿厚度的温度分布数据”,在本方法中称为“相同海拔高度索结构沿厚度的温度分布数据”,设选取了H个不同的海拔高度,在每一个海拔高度处,选取了B个测量索结构沿壁厚的温度分布的方向,沿每个测量索结构沿壁厚的温度分布的方向在索结构中选取了E个点,其中H和E都不小于3,B不小于2,对于支承索E等于1,计索结构上“测量索结构沿厚度的温度分布数据的点”的总数为HBE个,后面将通过实测得到这HBE个“测量索结构沿厚度的温度分布数据的点”的温度,称实测得到的温度数据为“HBE个索结构沿厚度温度实测数据”,如果是利用索结构的传热学计算模型,通过传热计算得到这HBE个测量索结构沿厚度的温度分布数据的点的温度,就称计算得到的温度数据为“HBE个索结构沿厚度温度计算数据”;在索结构所在地按照气象学测量气温要求选取一个位置,将在此位置实测得到符合气象学测量气温要求的索结构所在环境的气温;在索结构所在地的空旷无遮挡处选取一个位置,该位置应当在全年的每一日都能得到该地所能得到的该日的最充分的日照,在该位置安放一块碳钢材质的平板,称为参考平板,参考平板与地面不可接触,参考平板离地面距离不小于1.5米,该参考平板的一面向阳,称为向阳面,参考平板的向阳面是粗糙的和深色的,参考平板的向阳面应当在全年的每一日都能得到一块平板在该地所能得到的该日的最充分的日照,参考平板的非向阳面覆有保温材料,将实时监测得到参考平板的向阳面的温度;b1: Query or measure the temperature-dependent heat transfer parameters of the composition materials of the cable structure and the environment where the cable structure is located, use the design drawings, as-built drawings of the cable structure, and the geometrically measured data of the cable structure, and use these data and parameters to establish a cable structure. The heat transfer calculation model of the structure; query the meteorological data of not less than 2 years in recent years where the cable structure is located, and count the number of cloudy days during this period as T cloudy days. In this method, the number of cloudy days that cannot be seen during the day The whole day of the sun is called a cloudy day, and the highest and lowest temperature between 0:00 and 30 minutes after the sunrise time of the next day on each of the T cloudy days is counted. The meteorological sunrise time determined by the sun and the revolution law does not mean that the sun must be visible on that day, and the required sunrise time of each day can be obtained by querying the data or through conventional meteorological calculations. Every cloudy day from 0 o'clock to The maximum temperature difference between the highest temperature and the lowest temperature within 30 minutes after sunrise of the next day is called the maximum temperature difference of the daily temperature of the cloudy day. If there are T cloudy days, there will be the maximum temperature difference of the daily temperature of T cloudy days. Take T The maximum value of the maximum temperature difference of daily air temperature in a cloudy day is the reference daily temperature difference, which is recorded as ΔT r ; query the location of the cable structure and the altitude interval of not less than 2 years of meteorological data in recent years or obtain the cable structure from actual measurements The change data and change law of the temperature of the environment with time and altitude, and the maximum change rate ΔT of the temperature of the environment where the cable structure is located with respect to the altitude in recent years for the location of the cable structure and the altitude interval of not less than 2 years in recent years h , for the convenience of description, the unit of ΔT h is ℃/m; take "R cable structure surface points" on the surface of the cable structure, and the specific principle of taking "R cable structure surface points" is described in step b3, and later The temperature of the surface points of the R cable structures will be obtained through actual measurement, and the temperature data obtained from the actual measurement is called "the measured data of the surface temperature of the R cable structures". The temperature of the surface points of the R cable structures is called the calculated temperature data as "calculation data of the surface temperature of the R cable structures"; For less than three different altitudes, at each selected altitude, at least two points are selected at the intersection of the horizontal plane and the surface of the cable structure, and the outer normal of the surface of the structure is indexed from the selected point, all selected The outer normal direction is called "the direction of measuring the temperature distribution of the cable structure along the wall thickness". The direction of temperature distribution along the wall thickness must include the outer normal direction of the sunny surface of the cable structure and the outer normal direction of the shaded surface of the cable structure, and the temperature distribution along the wall thickness of each measurement cable structure is uniform in the cable structure. Select no less than three points, for the support cable along the direction of each measuring cable structure temperature distribution along the wall thickness, only take one point, only measure the temperature of the surface point of the support cable, measure the temperature of all selected points, measure The obtained temperature is called "the temperature distribution data of the cable structure along the thickness", Among them, the "temperature distribution data of the cable structure along the thickness" measured along the same "intersection line between the horizontal plane and the surface of the cable structure" and "the direction of measuring the temperature distribution of the cable structure along the wall thickness" is called in this method "The temperature distribution data of the cable structure along the thickness at the same altitude", assume that H different altitudes are selected, and at each altitude, B are selected to measure the temperature distribution direction of the cable structure along the wall thickness, along each To measure the temperature distribution direction of the cable structure along the wall thickness, E points are selected in the cable structure, where H and E are not less than 3, and B is not less than 2. For the supporting cable, E is equal to 1. On the cable structure, "measurement cable structure The total number of "points of temperature distribution data along the thickness" is HBE, and the temperature of these HBE "points of temperature distribution data along the thickness of the cable structure" will be obtained through actual measurement later, and the temperature data obtained by actual measurement are called "HBE cable The measured data of the temperature along the thickness of the structure”, if the heat transfer calculation model of the cable structure is used to calculate the temperature of the HBE points that measure the temperature distribution data of the cable structure along the thickness, the calculated temperature data is called "HBE cable structure temperature calculation data along the thickness"; select a location at the location of the cable structure according to the meteorological temperature measurement requirements, and the temperature of the environment where the cable structure is located that meets the meteorological temperature measurement requirements will be measured at this location; at the location of the cable structure Choose a location in an open and unsheltered place, which should be able to get the fullest sunshine of the day every day of the year, and place a carbon steel plate at this location, called the reference The reference plate should not be in contact with the ground. The distance between the reference plate and the ground should not be less than 1.5 meters. One side of the reference plate faces the sun, called the sunny side. The sunny side of the reference plate is rough and dark. On every day of the year, the most sufficient sunshine of the day that a flat panel can get in this place can be obtained, and the non-sun-facing side of the reference flat-panel is covered with thermal insulation material, and the temperature of the sunny side of the reference flat-panel will be obtained through real-time monitoring;
b2:实时监测得到上述R个索结构表面点的R个索结构表面温度实测数据,同时实时监测得到前面定义的索结构沿厚度的温度分布数据,同时实时监测得到符合气象学测量气温要求的索结构所在环境的气温数据;通过实时监测得到当日日出时刻到次日日出时刻后30分钟之间的索结构所在环境的气温实测数据序列,索结构所在环境的气温实测数据序列由当日日出时刻到次日日出时刻后30分钟之间的索结构所在环境的气温实测数据按照时间先后顺序排列,找到索结构所在环境的气温实测数据序列中的最高温度和最低温度,用索结构所在环境的气温实测数据序列中的最高温度减去最低温度得到索结构所在环境的当日日出时刻到次日日出时刻后30分钟之间的最大温差,称为环境最大温差,记为ΔTemax;由索结构所在环境的气温实测数据序列通过常规数学计算得到索结构所在环境的气温关于时间的变化率,该变化率也随着时间变化;通过实时监测得到当日日出时刻到次日日出时刻后30分钟之间的参考平板的向阳面的温度的实测数据序列,参考平板的向阳面的温度的实测数据序列由当日日出时刻到次日日出时刻后30分钟之间的参考平板的向阳面的温度的实测数据按照时间先后顺序排列,找到参考平板的向阳面的温度的实测数据序列中的最高温度和最低温度,用参考平板的向阳面的温度的实测数据序列中的最高温度减去最低温度得到参考平板的向阳面的温度的当日日出时刻到次日日出时刻后30分钟之间的最大温差,称为参考平板最大温差,记为ΔTpmax;通过实时监测得到当日日出时刻到次日日出时刻后30分钟之间的所有R个索结构表面点的索结构表面温度实测数据序列,有R个索结构表面点就有R个索结构表面温度实测数据序列,每一个索结构表面温度实测数据序列由一个索结构表面点的当日日出时刻到次日日出时刻后30分钟之间的索结构表面温度实测数据按照时间先后顺序排列,找到每一个索结构表面温度实测数据序列中的最高温度和最低温度,用每一个索结构表面温度实测数据序列中的最高温度减去最低温度得到每一个索结构表面点的温度的当日日出时刻到次日日出时刻后30分钟之间的最大温差,有R个索结构表面点就有R个当日日出时刻到次日日出时刻后30分钟之间的最大温差数值,其中的最大值称为索结构表面最大温差,记为ΔTsmax;由每一索结构表面温度实测数据序列通过常规数学计算得到每一个索结构表面点的温度关于时间的变化率,每一个索结构表面点的温度关于时间的变化率也随着时间变化;通过实时监测得到当日日出时刻到次日日出时刻后30分钟之间的、在同一时刻、HBE个“索结构沿厚度的温度分布数据”后,计算在每一个选取的海拔高度处共计BE个“相同海拔高度索结构沿厚度的温度分布数据”中的最高温度与最低温度的差值,这个差值的绝对值称为“相同海拔高度处索结构厚度方向最大温差”,选取了H个不同的海拔高度就有H个“相同海拔高度处索结构厚度方向最大温差”,称这H个“相同海拔高度处索结构厚度方向最大温差”中的最大值为“索结构厚度方向最大温差”,记为ΔTtmax;b2: Obtain the measured surface temperature data of the R cable structures at the surface points of the above R cable structures through real-time monitoring, and at the same time obtain the temperature distribution data of the previously defined cable structures along the thickness through real-time monitoring. The temperature data of the environment where the structure is located; through real-time monitoring, the temperature measured data series of the environment where the cable structure is located is obtained from the sunrise time of the day to 30 minutes after the sunrise time of the next day. The measured temperature data of the environment where the cable structure is located between the time and 30 minutes after sunrise of the next day are arranged in chronological order, and the highest temperature and the lowest temperature in the air temperature measurement data sequence of the environment where the cable structure is located are found. The maximum temperature difference in the air temperature measured data sequence minus the minimum temperature is the maximum temperature difference between the sunrise time of the day and 30 minutes after the sunrise time of the next day in the environment where the cable structure is located, which is called the maximum temperature difference of the environment, and is recorded as ΔT emax ; The temperature measured data sequence of the environment where the cable structure is located is obtained through conventional mathematical calculations. The measured data series of the temperature of the sunny side of the reference plate between 30 minutes, the measured data series of the temperature of the sunny side of the reference plate from the sunrise time of the current day to the sunny side of the reference plate 30 minutes after the sunrise time of the next day The measured data of the temperature of the reference plate are arranged in chronological order, find the highest temperature and the lowest temperature in the measured data sequence of the temperature of the sunny side of the reference plate, and subtract the lowest temperature from the highest temperature in the measured data sequence of the temperature of the sunny side of the reference plate Temperature obtains the maximum temperature difference between the sunrise time of the day and 30 minutes after the sunrise time of the next day from the temperature of the sunny side of the reference plate, which is called the maximum temperature difference of the reference plate, and is recorded as ΔT pmax ; The measured data series of cable structure surface temperature of all R cable structure surface points between 30 minutes after the sunrise time of the next day, there are R cable structure surface temperature measured data sequences of R cable structure surface points, each cable structure The measured data sequence of the surface temperature is arranged in chronological order by the measured data of the surface temperature of the cable structure between the sunrise time of the day and 30 minutes after the sunrise time of the next day at a surface point of the cable structure, and the measured data sequence of the surface temperature of each cable structure is found From the highest temperature and the lowest temperature in the data series, subtract the lowest temperature from the highest temperature in the measured data series of the surface temperature of each cable structure to obtain the temperature of each cable structure surface point from the sunrise time of the day to 30 minutes after the sunrise time of the next day If there are R surface points of the cable structure, there are R maximum temperature difference values between the sunrise time of the day and 30 minutes after the sunrise time of the next day, and the maximum value is called the maximum temperature difference of the cable structure surface, which is denoted as ΔT smax ; From the measured data sequence of the surface temperature of each cable structure, the rate of change of the temperature of each cable structure surface point with respect to time is obtained through conventional mathematical calculations, and the temperature of each cable structure surface point with respect to time The rate of change also changes with time; after obtaining HBE "temperature distribution data along the thickness of the cable structure" at the same time between the sunrise time of the day and 30 minutes after the sunrise time of the next day through real-time monitoring, calculate the The difference between the maximum temperature and the minimum temperature in a total of BE "temperature distribution data of the cable structure along the thickness at the same altitude" at a selected altitude, the absolute value of this difference is called "thickness direction of the cable structure at the same altitude". If H different altitudes are selected, there will be H "maximum temperature differences in the thickness direction of the cable structure at the same altitude", and the maximum value of the H "maximum temperature differences in the thickness direction of the cable structure at the same altitude" is "The maximum temperature difference in the thickness direction of the cable structure", denoted as ΔT tmax ;
b3:测量计算获得索结构稳态温度数据;首先,确定获得索结构稳态温度数据的时刻,与决定获得索结构稳态温度数据的时刻相关的条件有六项,第一项条件是获得索结构稳态温度数据的时刻介于当日日落时刻到次日日出时刻后30分钟之间,日落时刻是指根据地球自转和公转规律确定的气象学上的日落时刻,能够查询资料或通过常规气象学计算得到所需的每一日的日落时刻;第二项条件的a条件是在当日日出时刻到次日日出时刻后30分钟之间的这段时间内,参考平板最大温差ΔTpmax和索结构表面最大温差ΔTsmax都不大于5摄氏度;第二项条件的b条件是在当日日出时刻到次日日出时刻后30分钟之间的这段时间内,在前面测量计算得到的环境最大温差ΔTemax不大于参考日温差ΔTr,且参考平板最大温差ΔTpmax减去2摄氏度后不大于ΔTemax,且索结构表面最大温差ΔTsmax不大于ΔTpmax;只需满足第二项的a条件和b条件中的一项就称为满足第二项条件;第三项条件是在获得索结构稳态温度数据的时刻,索结构所在环境的气温关于时间的变化率的绝对值不大于每小时0.1摄氏度;第四项条件是在获得索结构稳态温度数据的时刻,R个索结构表面点中的每一个索结构表面点的温度关于时间的变化率的绝对值不大于每小时0.1摄氏度;第五项条件是在获得索结构稳态温度数据的时刻,R个索结构表面点中的每一个索结构表面点的索结构表面温度实测数据为当日日出时刻到次日日出时刻后30分钟之间的极小值;第六项条件是在获得索结构稳态温度数据的时刻,“索结构厚度方向最大温差”ΔTtmax不大于1摄氏度;本方法利用上述六项条件,将下列三种时刻中的任意一种称为“获得索结构稳态温度数据的数学时刻”,第一种时刻是满足上述“与决定获得索结构稳态温度数据的时刻相关的条件”中的第一项至第五项条件的时刻,第二种时刻是仅仅满足上述“与决定获得索结构稳态温度数据的时刻相关的条件”中的第六项条件的时刻,第三种时刻是同时满足上述“与决定获得索结构稳态温度数据的时刻相关的条件”中的第一项至第六项条件的时刻;当获得索结构稳态温度数据的数学时刻就是本方法中实际记录数据时刻中的一个时刻时,获得索结构稳态温度数据的时刻就是获得索结构稳态温度数据的数学时刻;如果获得索结构稳态温度数据的数学时刻不是本方法中实际记录数据时刻中的任一个时刻,则取本方法最接近于获得索结构稳态温度数据的数学时刻的那个实际记录数据的时刻为获得索结构稳态温度数据的时刻;本方法将使用在获得索结构稳态温度数据的时刻测量记录的量进行索结构相关健康监测分析;本方法近似认为获得索结构稳态温度数据的时刻的索结构温度场处于稳态,即此时刻的索结构温度不随时间变化,此时刻就是本方法的“获得索结构稳态温度数据的时刻”;然后,根据索结构传热特性,利用获得索结构稳态温度数据的时刻的“R个索结构表面温度实测数据”和“HBE个索结构沿厚度温度实测数据”,利用索结构的传热学计算模型,通过常规传热计算得到在获得索结构稳态温度数据的时刻的索结构的温度分布,此时索结构的温度场按稳态进行计算,计算得到的在获得索结构稳态温度数据的时刻的索结构的温度分布数据包括索结构上R个索结构表面点的计算温度,R个索结构表面点的计算温度称为R个索结构稳态表面温度计算数据,还包括索结构在前面选定的HBE个“测量索结构沿厚度的温度分布数据的点”的计算温度,HBE个“测量索结构沿厚度的温度分布数据的点”的计算温度称为“HBE个索结构沿厚度温度计算数据”,当R个索结构表面温度实测数据与R个索结构稳态表面温度计算数据对应相等时,且“HBE个索结构沿厚度温度实测数据”与“HBE个索结构沿厚度温度计算数据”对应相等时,计算得到的在获得索结构稳态温度数据的时刻的索结构的温度分布数据在本方法中称为“索结构稳态温度数据”,此时的“R个索结构表面温度实测数据”称为“R个索结构稳态表面温度实测数据”,“HBE个索结构沿厚度温度实测数据”称为“HBE个索结构沿厚度稳态温度实测数据”;在索结构的表面上取“R个索结构表面点”时,“R个索结构表面点”的数量与分布必须满足三个条件,第一个条件是当索结构温度场处于稳态时,当索结构表面上任意一点的温度是通过“R个索结构表面点”中与索结构表面上该任意点相邻的点的实测温度线性插值得到时,线性插值得到的索结构表面上该任意点的温度与索结构表面上该任意点的实际温度的误差不大于5%;索结构表面包括支承索表面;第二个条件是“R个索结构表面点”中在同一海拔高度的点的数量不小于4,且“R个索结构表面点”中在同一海拔高度的点沿着索结构表面均布;“R个索结构表面点”沿海拔高度的所有两两相邻索结构表面点的海拔高度之差的绝对值中的最大值Δh不大于0.2℃除以ΔTh得到的数值,为方便叙述取ΔTh的单位为℃/m,为方便叙述取Δh的单位为m;“R个索结构表面点”沿海拔高度的两两相邻索结构表面点的定义是指只考虑海拔高度时,在“R个索结构表面点”中不存在一个索结构表面点,该索结构表面点的海拔高度数值介于两两相邻索结构表面点的海拔高度数值之间;第三个条件是查询或按气象学常规计算得到索结构所在地和所在海拔区间的日照规律,再根据索结构的几何特征及方位数据,在索结构上找到全年受日照时间最充分的那些表面点的位置,“R个索结构表面点”中至少有一个索结构表面点是索结构上全年受日照时间最充分的那些表面点中的一个点;b3: Measurement and calculation to obtain the steady-state temperature data of the cable structure; firstly, determine the moment to obtain the steady-state temperature data of the cable The time of the structural steady-state temperature data is between the sunset time of the current day and 30 minutes after the sunrise time of the next day. The sunset time refers to the meteorological sunset time determined according to the laws of the earth's rotation and revolution. The data can be queried or through conventional weather The required sunset time of each day can be obtained through scientific calculation; the second condition a condition is that during the period between the sunrise time of the current day and 30 minutes after the sunrise time of the next day, the maximum temperature difference ΔT pmax and the maximum temperature difference of the reference plate The maximum temperature difference ΔT smax on the surface of the cable structure is not greater than 5 degrees Celsius; the b condition of the second condition is that during the period between the sunrise of the day and 30 minutes after the sunrise of the next day, in the environment obtained by the previous measurement and calculation The maximum temperature difference ΔT emax is not greater than the reference daily temperature difference ΔT r , and the maximum temperature difference ΔT pmax of the reference plate minus 2 degrees Celsius is not greater than ΔT emax , and the maximum temperature difference ΔT smax on the surface of the cable structure is not greater than ΔT pmax ; only the second item a One of the condition and b condition is said to meet the second condition; the third condition is that at the moment when the steady-state temperature data of the cable structure is obtained, the absolute value of the temperature change rate of the environment where the cable structure is located with respect to time is not greater than each 0.1 degrees Celsius per hour; the fourth condition is that at the moment when the steady-state temperature data of the cable structure is obtained, the absolute value of the temperature change rate of each cable structure surface point in the R cable structure surface points with respect to time is not greater than 0.1 degrees Celsius per hour The fifth condition is that at the moment when the steady-state temperature data of the cable structure is obtained, the measured data of the cable structure surface temperature of each cable structure surface point in the R cable structure surface points is from the sunrise time of the day to the day after the sunrise time of the next day The minimum value between 30 minutes; the sixth condition is that at the moment when the steady-state temperature data of the cable structure is obtained, the "maximum temperature difference in the thickness direction of the cable structure" ΔT tmax is not greater than 1 degree Celsius; this method utilizes the above six conditions, and the following Any one of the three kinds of time is called "mathematical time for obtaining the steady-state temperature data of the cable structure". Item 1 to item 5 conditions, the second type of time is the time that only meets the sixth condition in the above "conditions related to the time to determine the time to obtain the steady-state temperature data of the cable structure", and the third type of time is when the above-mentioned conditions are met at the same time The moment of the first item to the sixth condition in "Conditions related to the moment of determining the time to obtain the steady-state temperature data of the cable structure"; At one moment, the moment of obtaining the steady-state temperature data of the cable structure is the mathematical moment of obtaining the steady-state temperature data of the cable structure; if the mathematical moment of obtaining the steady-state temperature data of the cable structure is not any moment in the actual recording data moment in this method, Then take this method closest to the mathematical time of obtaining the steady-state temperature data of the cable structure The actual recorded data moment is the moment when the steady-state temperature data of the cable structure is obtained; this method will use the measured and recorded quantity at the moment when the steady-state temperature data of the cable structure is obtained to perform cable structure-related health monitoring analysis; this method approximately considers that the obtained The temperature field of the cable structure at the moment of the steady-state temperature data of the cable structure is in a steady state, that is, the temperature of the cable structure at this moment does not change with time, and this moment is the "moment of obtaining the steady-state temperature data of the cable structure" of this method; Heat transfer characteristics of the structure, using the “measured surface temperature data of R cable structures” and “measured temperature data of HBE cable structures along the thickness” at the moment when the steady-state temperature data of the cable structure is obtained, and using the heat transfer calculation model of the cable structure, through The temperature distribution of the cable structure at the moment of obtaining the steady-state temperature data of the cable structure is obtained by conventional heat transfer calculation. At this time, the temperature field of the cable structure is calculated according to the steady state. The temperature distribution data of the structure includes the calculated temperature of the R cable structure surface points on the cable structure, and the calculated temperature of the R cable structure surface points is called the R cable structure steady-state surface temperature calculation data, and also includes the previously selected cable structure The calculated temperature of the HBE "points for measuring the temperature distribution data of the cable structure along the thickness", and the calculated temperature of the HBE "points for measuring the temperature distribution data of the cable structure along the thickness" are called "calculated data of the temperature of the HBE cable structure along the thickness" , when the measured surface temperature data of the R cable structures is equal to the calculated data of the steady-state surface temperature of the R cable structures, and the "measured data of the temperature along the thickness of the HBE cable structures" corresponds to the "calculated data of the temperature along the thickness of the HBE cable structures". When they are equal, the calculated temperature distribution data of the cable structure at the moment when the cable structure steady-state temperature data is obtained is called "cable structure steady-state temperature data" in this method, and the "R cable structure surface temperature measured data " is called "the measured data of the steady-state surface temperature of R cable structures", and "the measured data of the temperature of the HBE cable structures along the thickness" is called "the measured data of the steady-state temperature of the HBE cable structures along the thickness"; When "R cable structure surface points", the number and distribution of "R cable structure surface points" must meet three conditions. The first condition is that when the cable structure temperature field is in a steady state, when any point on the cable structure surface When the temperature of is obtained by the linear interpolation of the measured temperature of the point adjacent to the arbitrary point on the surface of the cable structure among the "R cable structure surface points", the temperature of the arbitrary point on the surface of the cable structure obtained by linear interpolation is the same as that of the surface of the cable structure The error of the actual temperature at this arbitrary point is not greater than 5%; the cable structure surface includes the supporting cable surface; the second condition is that the number of points at the same altitude in the "R cable structure surface points" is not less than 4, and " The points at the same altitude in the "R cable structure surface points" are uniformly distributed along the cable structure surface; The maximum value Δh among the values is not greater than the value obtained by dividing ΔT h by 0.2°C. For the convenience of description, the unit of ΔT h is ℃/m, and for the convenience of description, the unit of Δh is m;" The definition of two adjacent cable structure surface points along the altitude of "R cable structure surface points" means that when only the altitude is considered, there is no cable structure surface point in the "R cable structure surface points". The altitude value of the surface point is between the altitude values of two adjacent cable structure surface points; the third condition is to query or calculate according to meteorological routines to obtain the sunshine law of the cable structure location and the altitude interval, and then according to the cable structure According to the geometric characteristics and orientation data of the structure, find the positions of those surface points on the cable structure that receive the most sunshine time throughout the year, and at least one cable structure surface point in the "R cable structure surface points" is on the cable structure that is exposed to sunlight throughout the year. one of those surface points at which the hours of sunshine are greatest;
c.按照“本方法的索结构的温度测量计算方法”直接测量计算得到初始状态下的索结构稳态温度数据,初始状态下的索结构稳态温度数据称为初始索结构稳态温度数据,记为“初始索结构稳态温度数据向量To”;实测或查资料得到索结构所使用的各种材料的随温度变化的物理和力学性能参数;在实测得到初始索结构稳态温度数据向量To的同一时刻,直接测量计算得到所有支承索的初始索力,组成初始索力向量Fo;依据包括索结构设计数据、竣工数据在内的数据得到所有支承索在自由状态即索力为0时的长度、在自由状态时的横截面面积和在自由状态时的单位长度的重量,以及获得这三种数据时所有支承索的温度,在此基础上利用所有支承索的随温度变化的物理性能参数和力学性能参数,按照常规物理计算得到所有支承索在初始索结构稳态温度数据向量To条件下的索力为0时所有支承索的长度、索力为0时所有支承索的横截面面积以及索力为0时所有支承索的单位长度的重量,依次组成支承索的初始自由长度向量、初始自由横截面面积向量和初始自由单位长度的重量向量,支承索的初始自由长度向量、初始自由横截面面积向量和初始自由单位长度的重量向量的元素的编号规则与初始索力向量Fo的元素的编号规则相同;在实测得到To的同时,也就是在获得初始索结构稳态温度数据向量To的时刻的同一时刻,直接测量计算得到初始索结构的实测数据,初始索结构的实测数据是包括索结构集中载荷测量数据、索结构分布载荷测量数据、索结构体积载荷测量数据、所有被监测量的初始数值、所有支承索的初始索力数据、初始索结构模态数据、初始索结构应变数据、初始索结构几何数据、初始索结构支座广义坐标数据、初始索结构角度数据、初始索结构空间坐标数据在内的实测数据,初始索结构支座广义坐标数据包括初始索结构支座空间坐标数据和初始索结构支座角坐标数据,在得到初始索结构的实测数据的同时,测量计算得到包括支承索的无损检测数据在内的能够表达支承索的健康状态的数据,此时的能够表达支承索的健康状态的数据称为支承索初始健康状态数据;所有被监测量的初始数值组成被监测量初始数值向量Co,被监测量初始数值向量Co的编号规则与M个被监测量的编号规则相同;利用支承索初始健康状态数据以及索结构载荷测量数据建立被评估对象初始损伤向量do,向量do表示用初始力学计算基准模型Ao表示的索结构的被评估对象的初始健康状态;被评估对象初始损伤向量do的元素个数等于N,do的元素与被评估对象是一一对应关系,向量do的元素的编号规则与被评估对象的编号规则相同;如果do的某一个元素对应的被评估对象是索系统中的一根支承索,那么do的该元素的数值代表对应支承索的初始损伤程度,若该元素的数值为0,表示该元素所对应的支承索是完好的,没有损伤的,若其数值为100%,则表示该元素所对应的支承索已经完全丧失承载能力,若其数值介于0和100%之间,则表示该支承索丧失了相应比例的承载能力;如果do的某一个元素对应的被评估对象是某一个载荷,本方法中取do的该元素数值为0,代表这个载荷的变化的初始数值为0;如果没有支承索的无损检测数据及其他能够表达支承索的健康状态的数据时,或者可以认为结构初始状态为无损伤无松弛状态时,向量do中与支承索相关的各元素数值取0;初始索结构支座广义坐标数据组成初始索结构支座广义坐标向量Uo;c. According to the "temperature measurement and calculation method of the cable structure of this method", the steady-state temperature data of the cable structure in the initial state is directly measured and calculated, and the steady-state temperature data of the cable structure in the initial state is called the initial steady-state temperature data of the cable structure. It is recorded as "initial cable structure steady-state temperature data vector T o "; the physical and mechanical performance parameters of various materials used in the cable structure that vary with temperature are obtained from actual measurement or information; the initial cable structure steady-state temperature data vector is obtained from the actual measurement At the same moment T o , the initial cable forces of all supporting cables are directly measured and calculated to form the initial cable force vector F o ; according to the data including cable structure design data and completed data, all supporting cables are in the free state, that is, the cable force is The length at 0, the cross-sectional area in the free state and the weight per unit length in the free state, as well as the temperature of all supporting cables when these three data are obtained, on this basis, the temperature-dependent Physical performance parameters and mechanical performance parameters, according to conventional physical calculations, the lengths of all supporting cables when the cable force is 0 and the lengths of all supporting cables when the cable force is 0 under the condition of the initial cable structure steady-state temperature data vector T o The cross-sectional area and the weight per unit length of all supporting cables when the cable force is 0 form the initial free length vector of the supporting cables, the initial free cross-sectional area vector and the weight vector of the initial free unit length, and the initial free length vector of the supporting cables , the initial free cross-sectional area vector and the initial free unit length weight vector have the same numbering rules as the elements of the initial cable force vector F o ; At the same moment of the state temperature data vector T o , the measured data of the initial cable structure are directly measured and calculated, and the measured data of the initial cable structure include the concentrated load measurement data of the cable structure, the distributed load measurement data of the cable structure, and the body load measurement data of the cable structure data, initial values of all monitored quantities, initial cable force data of all supporting cables, initial cable structure modal data, initial cable structure strain data, initial cable structure geometry data, initial cable structure support generalized coordinate data, initial cable structure The measured data including the angle data and the initial cable structure space coordinate data, the generalized coordinate data of the initial cable structure support include the space coordinate data of the initial cable structure support and the initial cable structure support angular coordinate data, after obtaining the measured data of the initial cable structure At the same time, the data that can express the health state of the support cable including the non-destructive testing data of the support cable are obtained through measurement and calculation. At this time, the data that can express the health state of the support cable is called the initial health state data of the support cable; all monitored The initial value of the quantity constitutes the initial value vector C o of the monitored quantity, and the numbering rule of the initial value vector C o of the monitored quantity is the same as that of the M monitored quantities; it is established by using the initial health state data of the supporting cable and the load measurement data of the cable structure The initial damage vector d o of the evaluated object, the vector d o represents the initial health state of the evaluated object of the cable structure represented by the initial mechanical calculation benchmark model A o ; The number of elements of the damage vector d o is equal to N, and the elements of d o have a one-to-one correspondence with the evaluated object. The numbering rule of the elements of the vector d o is the same as that of the evaluated object; if a certain element of d o corresponds to The object to be evaluated is a supporting cable in the cable system, then the value of this element of d o represents the initial damage degree of the corresponding supporting cable, if the value of this element is 0, it means that the supporting cable corresponding to this element is intact , without damage, if its value is 100%, it means that the supporting cable corresponding to this element has completely lost its bearing capacity; if its value is between 0 and 100%, it means that the supporting cable has lost its corresponding proportion of bearing capacity capacity; if a certain element of d o corresponds to a certain load, the value of this element of d o is taken as 0 in this method, which means that the initial value of the change of this load is 0; if there is no non-destructive testing of supporting cables data and other data that can express the health state of the supporting cable, or when the initial state of the structure can be considered as a state of no damage and no relaxation, the value of each element related to the supporting cable in the vector d o is set to 0; the generalized coordinates of the initial cable structure support The data constitute the generalized coordinate vector U o of the initial cable structure support;
d.根据索结构的设计图、竣工图和初始索结构的实测数据、支承索初始健康状态数据、索结构集中载荷测量数据、索结构分布载荷测量数据、索结构体积载荷测量数据、索结构所使用的各种材料的随温度变化的物理和力学性能参数、初始索结构支座广义坐标向量Uo、初始索结构稳态温度数据向量To和前面步骤得到的所有的索结构数据,建立计入“索结构稳态温度数据”的索结构的初始力学计算基准模型Ao,基于Ao计算得到的索结构计算数据必须非常接近其实测数据,其间的差异不得大于5%;对应于Ao的“索结构稳态温度数据”就是“初始索结构稳态温度数据向量To”;对应于Ao的索结构支座广义坐标数据就是初始索结构支座广义坐标向量Uo;对应于Ao的被评估对象健康状态用被评估对象初始损伤向量do表示;对应于Ao的所有被监测量的初始数值用被监测量初始数值向量Co表示;Uo、To和do是Ao的参数,由Ao的力学计算结果得到的所有被监测量的初始数值与Co表示的所有被监测量的初始数值相同,因此也可以说Co由Ao的力学计算结果组成,在本方法中Ao、Co、do、Uo和To是不变的;d. According to the design drawing of the cable structure, the as-built drawing and the actual measurement data of the initial cable structure, the initial health status data of the supporting cable, the measurement data of the concentrated load of the cable structure, the measurement data of the distributed load of the cable structure, the measurement data of the body load of the cable structure, and the data of the cable structure. The physical and mechanical performance parameters of the various materials used vary with temperature, the generalized coordinate vector U o of the initial cable structure support, the initial cable structure steady-state temperature data vector T o and all the cable structure data obtained in the previous steps. The initial mechanical calculation benchmark model A o of the cable structure is entered into the "steady-state temperature data of the cable structure". The calculated data of the cable structure based on A o must be very close to the measured data, and the difference between them shall not be greater than 5%; corresponding to A o The "cable structure steady-state temperature data" is the "initial cable structure steady-state temperature data vector T o "; the cable structure support generalized coordinate data corresponding to A o is the initial cable structure support generalized coordinate vector U o ; corresponding to A The health status of the evaluated object of o is represented by the initial damage vector d o of the evaluated object; the initial values of all monitored quantities corresponding to A o are represented by the initial value vector C o of the monitored quantities; U o , T o and d o are The parameters of A o , the initial values of all the monitored quantities obtained from the mechanical calculation results of A o are the same as the initial values of all the monitored quantities represented by C o , so it can also be said that C o is composed of the mechanical calculation results of A o , In this method, A o , C o , d o , U o and T o are unchanged;
e.在本方法中,字母i除了明显地表示步骤编号的地方外,字母i仅表示循环次数,即第i次循环;第i次循环开始时需要建立的或已建立的索结构的当前初始力学计算基准模型记为当前初始力学计算基准模型Ai o,Ao和Ai o计入了温度参数,可以计算温度变化对索结构的力学性能影响;第i次循环开始时,对应于Ai o的“索结构稳态温度数据”用当前初始索结构稳态温度数据向量Ti o表示,向量Ti o的定义方式与向量To的定义方式相同,Ti o的元素与To的元素一一对应;第i次循环开始时,对应于Ai o的“索结构支座广义坐标数据”用当前初始索结构支座广义坐标向量Ui o表示,向量Ui o的定义方式与向量Uo的定义方式相同,Ui o的元素与Uo的元素一一对应;第i次循环开始时需要的被评估对象当前初始损伤向量记为di o,di o表示该次循环开始时索结构Ai o的被评估对象的健康状态,di o的定义方式与do的定义方式相同,di o的元素与do的元素一一对应;第i次循环开始时,所有被监测量的初始值,用被监测量当前初始数值向量Ci o表示,向量Ci o的定义方式与向量Co的定义方式相同,Ci o的元素与Co的元素一一对应,被监测量当前初始数值向量Ci o表示对应于Ai o的所有被监测量的具体数值;Ui o、Ti o和di o是Ai o的特性参数,Ci o由Ai o的力学计算结果组成;第一次循环开始时,Ai o记为A1 o,建立A1 o的方法为使A1 o等于Ao;第一次循环开始时,Ti o记为T1 o,建立T1 o的方法为使T1 o等于To;第一次循环开始时,Ui o记为U1 o,建立U1 o的方法为使U1 o等于Uo;第一次循环开始时,di o记为d1 o,建立d1 o的方法为使d1 o等于do;第一次循环开始时,Ci o记为C1 o,建立C1 o的方法为使C1 o等于Co;e. In this method, except where the letter i clearly indicates the step number, the letter i only indicates the number of cycles, that is, the i-th cycle; the current initial value of the cable structure that needs to be established or has been established at the beginning of the i-th cycle The mechanical calculation benchmark model is recorded as the current initial mechanical calculation benchmark model A i o , A o and A i o include temperature parameters, and the influence of temperature changes on the mechanical properties of the cable structure can be calculated; at the beginning of the i-th cycle, corresponding to A The "cable structure steady-state temperature data" of i o is represented by the current initial cable structure steady-state temperature data vector T i o , the definition of vector T i o is the same as that of vector T o , and the elements of T i o are the same as T o The elements of are in one-to-one correspondence; at the beginning of the i-th cycle, the "cable structure support generalized coordinate data" corresponding to A i o is represented by the current initial cable structure support generalized coordinate vector U i o , and the definition method of vector U i o In the same way as the definition of the vector U o , the elements of U i o correspond to the elements of U o one by one; the current initial damage vector of the evaluated object required at the beginning of the i-th cycle is recorded as d i o , and d i o represents the At the beginning of the cycle, the health status of the evaluated object of the search structure A i o is defined. The definition of d i o is the same as that of d o , and the elements of d i o correspond to the elements of d o one by one; when the i-th cycle starts , the initial values of all the monitored quantities are represented by the current initial value vector C i o of the monitored quantity. The definition method of the vector C i o is the same as that of the vector C o , and the elements of C i o are one by one with the elements of C o Correspondingly, the current initial value vector C i o of the monitored quantity represents the specific values of all the monitored quantities corresponding to A i o ; U i o , T i o and d i o are the characteristic parameters of A i o , and C i o is determined by A i o is composed of mechanical calculation results; at the beginning of the first cycle, A i o is recorded as A 1 o , and the method of establishing A 1 o is to make A 1 o equal to A o ; at the beginning of the first cycle, T i o Denote it as T 1 o , the method of establishing T 1 o is to make T 1 o equal to T o ; at the beginning of the first cycle, U i o is recorded as U 1 o , and the method of establishing U 1 o is to make U 1 o equal to U o ; at the beginning of the first cycle, d i o is recorded as d 1 o , and the method of establishing d 1 o is to make d 1 o equal to d o ; at the beginning of the first cycle, C i o is recorded as C 1 o , and the establishment The method of C 1 o is to make C 1 o equal to C o ;
f.从这里进入由第f步到第q步的循环;在结构服役过程中,按照“本方法的索结构的温度测量计算方法”不断实测计算获得索结构稳态温度数据的当前数据,所有“索结构稳态温度数据”的当前数据组成当前索结构稳态温度数据向量Ti,向量Ti的定义方式与向量To的定义方式相同,Ti的元素与To的元素一一对应;在实测得到当前索结构稳态温度数据向量Ti的同一时刻,实测得到索结构支座广义坐标当前数据,所有索结构支座广义坐标当前数据组成当前索结构实测支座广义坐标向量Ui,向量Ui的定义方式与向量Uo的定义方式相同;在实测得到向量Ti的同时,实测得到在获得当前索结构稳态温度数据向量Ti的时刻的同一时刻的索结构中所有被监测量的当前值,所有这些数值组成被监测量当前数值向量Ci,向量Ci的定义方式与向量Co的定义方式相同,Ci的元素与Co的元素一一对应,表示相同被监测量在不同时刻的数值;在实测得到当前索结构稳态温度数据向量Ti的同一时刻,实测得到索结构中所有M1根支承索的索力数据,所有这些索力数据组成当前索力向量Fi,向量Fi的元素与向量Fo的元素的编号规则相同;在实测得到当前索结构稳态温度数据向量Ti的同一时刻,实测计算得到所有M1根支承索的两个支承端点的空间坐标,两个支承端点的空间坐标在水平方向分量的差就是两个支承端点水平距离,所有支承索的两个支承端点水平距离数据组成当前支承索两支承端点水平距离向量,当前支承索两支承端点水平距离向量的元素的编号规则与初始索力向量Fo的元素的编号规则相同;f. From here, enter the cycle from step f to step q; during the service process of the structure, according to "the temperature measurement and calculation method of the cable structure of this method", the current data of the steady-state temperature data of the cable structure are continuously measured and calculated, and all The current data of "cable structure steady-state temperature data" constitutes the current cable structure steady-state temperature data vector T i , the definition method of vector T i is the same as that of vector T o , and the elements of T i correspond to the elements of T o one by one ; At the same moment when the steady-state temperature data vector T i of the current cable structure is obtained from the actual measurement, the current data of the generalized coordinates of the cable structure supports are obtained from the actual measurement, and all the current data of the generalized coordinates of the cable structure supports form the generalized coordinate vector U i , the vector U i is defined in the same way as the vector U o ; when the vector T i is obtained from the actual measurement, all the cable structures in the cable structure at the same moment when the current cable structure steady-state temperature data vector T i is obtained The current value of the monitored quantity. All these values form the current value vector C i of the monitored quantity. The definition method of the vector C i is the same as that of the vector C o . The elements of C i correspond to the elements of C o one by one, indicating that the same The value of the monitoring quantity at different times; at the same moment when the current cable structure steady-state temperature data vector T i is measured, the measured cable force data of all M 1 supporting cables in the cable structure, all these cable force data constitute the current cable force Vector F i , the elements of vector F i have the same numbering rules as the elements of vector F o ; at the same moment when the current steady-state temperature data vector T i of the cable structure is obtained from the actual measurement, the two supporting cables of all M 1 supporting cables are obtained from the actual measurement and calculation. The spatial coordinates of the end points, the difference between the spatial coordinates of the two support end points in the horizontal direction is the horizontal distance between the two support end points, the horizontal distance data of the two support end points of all the support cables form the horizontal distance vector between the two support end points of the current support cable, and the current support The numbering rule of the elements of the horizontal distance vector between the two supporting ends of the cable is the same as the numbering rule of the elements of the initial cable force vector F o ;
g.根据当前索结构实测支座广义坐标向量Ui和当前索结构稳态温度数据向量Ti,按照步骤g1至g3更新当前初始力学计算基准模型Ai o、被监测量当前初始数值向量Ci o、当前初始索结构稳态温度数据向量Ti o和当前初始索结构支座广义坐标向量Ui o,而被评估对象当前初始损伤向量di o保持不变;g. According to the generalized coordinate vector U i of the measured support of the current cable structure and the current steady-state temperature data vector T i of the cable structure, follow steps g1 to g3 to update the current initial mechanical calculation benchmark model A i o and the current initial value vector C of the monitored quantity i o , the current initial cable structure steady-state temperature data vector T i o and the current initial cable structure support generalized coordinate vector U i o , while the current initial damage vector d i o of the evaluated object remains unchanged;
g1.分别比较Ti和Ti o、Ui和Ui o,如果Ti等于Ti o且Ui等于Ui o,则不需要对Ai o、Ui o、Ci o和Ti o进行更新,否则需要按下列步骤对Ai o、Ui o、Ci o和Ti o进行更新;g1. Compare T i and T i o , U i and U i o respectively, if T i is equal to T i o and U i is equal to U i o , there is no need to compare A i o , U i o , C i o and T i o to be updated, otherwise A i o , U i o , C i o and T i o need to be updated according to the following steps;
g2.计算Ui与Uo的差,Ui与Uo的差就是索结构支座关于初始位置的支座广义位移,用支座广义位移向量V表示支座广义位移,V等于Ui减去Uo;计算Ti与To的差,Ti与To的差就是当前索结构稳态温度数据关于初始索结构稳态温度数据的变化,Ti与To的差用稳态温度变化向量S表示,S等于Ti减去To,S表示索结构稳态温度数据的变化;g2. Calculate the difference between U i and U o . The difference between U i and U o is the generalized displacement of the cable structure support relative to the initial position. Use the generalized displacement vector V of the support to represent the generalized displacement of the support. V is equal to U i minus Remove U o ; calculate the difference between T i and T o , the difference between T i and T o is the change of the current cable structure steady-state temperature data with respect to the initial cable structure steady-state temperature data, the difference between T i and T o is the steady-state temperature The change vector S indicates that S is equal to T i minus T o , and S indicates the change of the steady-state temperature data of the cable structure;
g3.先对Ao中的索结构支座施加支座广义位移约束,支座广义位移约束的数值就取自支座广义位移向量V中对应元素的数值,再对Ao中的索结构施加温度变化,施加的温度变化的数值就取自稳态温度变化向量S,对Ao中索结构支座施加支座广义位移约束且对索结构施加温度变化后得到更新的当前初始力学计算基准模型Ai o,更新Ai o的同时,Ui o所有元素数值也用Ui所有元素数值对应代替,即更新了Ui o,Ti o所有元素数值也用Ti的所有元素数值对应代替,即更新了Ti o,这样就得到了正确地对应于Ai o的Ui o和Ti o,此时di o保持不变;当更新Ai o后,Ai o的索的健康状况用被评估对象当前初始损伤向量di o表示,Ai o的索结构稳态温度用当前索结构稳态温度数据向量Ti o表示,Ai o的支座广义坐标用当前初始索结构支座广义坐标向量Ui o表示;更新Ci o的方法是:当更新Ai o后,通过力学计算得到Ai o中所有被监测量的、当前的具体数值,这些具体数值组成Ci o;g3. First apply the support generalized displacement constraint to the cable structure support in A o , the value of the support generalized displacement constraint is taken from the value of the corresponding element in the support generalized displacement vector V, and then apply the support to the cable structure in A o The temperature change, the value of the applied temperature change is taken from the steady-state temperature change vector S, and the current initial mechanical calculation benchmark model is updated after the generalized displacement constraint of the support is applied to the support of the cable structure in A o and the temperature change is applied to the cable structure A i o , while updating A i o , all element values of U i o are also replaced by corresponding values of all elements of U i , that is, U i o is updated, and all element values of T i o are also replaced by corresponding values of all elements of T i , that is, T i o is updated, so that U i o and T i o corresponding to A i o are obtained correctly, and d i o remains unchanged at this time; when A i o is updated, the index of A i o The health status is expressed by the current initial damage vector d i o of the evaluated object, the steady-state temperature of the cable structure of A i o is expressed by the current data vector T i o of the steady-state temperature of the cable structure, and the generalized coordinates of the support of A i o are expressed by the current initial cable The generalized coordinate vector U i o of the structural support is represented; the method of updating C i o is: after updating A i o , the current specific values of all monitored quantities in A i o are obtained through mechanical calculations, and these specific values form C i o ;
h.在当前初始力学计算基准模型Ai o的基础上,按照步骤h1至步骤h4进行若干次力学计算,通过计算建立单位损伤被监测量数值变化矩阵ΔCi和被评估对象单位变化向量Di u;h. On the basis of the current initial mechanical calculation benchmark model A i o , perform several mechanical calculations according to steps h1 to h4, and establish the numerical change matrix ΔC i of the unit damage monitored quantity and the unit change vector D i of the evaluated object through calculation u ;
h1.在第i次循环开始时,直接按步骤h2至步骤h4所列方法获得ΔCi和Di u;在其它时刻,当在步骤g中对Ai o进行更新后,必须按步骤h2至步骤h4所列方法重新获得ΔCi和Di u,如果在步骤g中没有对Ai o进行更新,则在此处直接转入步骤i进行后续工作;h1. At the beginning of the ith cycle, directly follow the methods listed in step h2 to step h4 to obtain ΔC i and D i u ; at other times, after updating A i o in step g, you must follow steps h2 to h4 The method listed in step h4 regains ΔC i and D i u , if A i o is not updated in step g, then directly transfer to step i for follow-up work here;
h2.在当前初始力学计算基准模型Ai o的基础上进行若干次力学计算,计算次数数值上等于所有被评估对象的数量N,有N个评估对象就有N次计算;依据被评估对象的编号规则,依次进行计算;每一次计算假设只有一个被评估对象在原有损伤或载荷的基础上再增加单位损伤或载荷单位变化,具体的,如果该被评估对象是索系统中的一根支承索,那么就假设该支承索再增加单位损伤,如果该被评估对象是一个载荷,就假设该载荷再增加载荷单位变化,用Di uk记录这一增加的单位损伤或载荷单位变化,其中k表示增加单位损伤或载荷单位变化的被评估对象的编号,Di uk是被评估对象单位变化向量Di u的一个元素,被评估对象单位变化向量Di u的元素的编号规则与向量do的元素的编号规则相同;每一次计算中再增加单位损伤或载荷单位变化的被评估对象不同于其它次计算中再增加单位损伤或载荷单位变化的被评估对象,每一次计算都利用力学方法计算索结构的所有被监测量的当前计算值,每一次计算得到的所有被监测量的当前计算值组成一个被监测量计算当前向量;当假设第k个被评估对象再增加单位损伤或载荷单位变化时,用Ci tk表示对应的“被监测量计算当前向量”;在本步骤中给各向量的元素编号时,应同本方法中其它向量使用同一编号规则,以保证本步骤中各向量中的任意一个元素,同其它向量中的、编号相同的元素,表达了同一被监测量或同一对象的相关信息;Ci tk的定义方式与向量Co的定义方式相同,Ci tk的元素与Co的元素一一对应;h2. Carry out several mechanical calculations on the basis of the current initial mechanical calculation benchmark model A i o . The number of calculations is numerically equal to the number N of all evaluated objects. There are N evaluation objects and there are N calculations; Numbering rules, calculations are performed sequentially; each calculation assumes that there is only one evaluated object, and the unit damage or load unit change is added on the basis of the original damage or load. Specifically, if the evaluated object is a supporting cable in the cable system , then it is assumed that the support cable will increase the unit damage, if the evaluated object is a load, it is assumed that the load will increase the load unit change, and record the increased unit damage or load unit change with D i uk , where k represents Increment the number of the assessed object of the unit damage or load unit change, D i uk is an element of the assessed object unit change vector D i u , the numbering rule of the elements of the assessed object unit change vector D i u is the same as that of the vector d o The numbering rules of the elements are the same; the evaluated object with additional unit damage or load unit change in each calculation is different from the evaluated object with additional unit damage or load unit change in other calculations, and each calculation uses the mechanical method to calculate the index The current calculated values of all the monitored quantities of the structure, the current calculated values of all the monitored quantities obtained by each calculation form a current vector of the monitored quantity calculation; when it is assumed that the kth assessed object is added with unit damage or load unit change , use C i tk to represent the corresponding "monitored quantity calculation current vector"; when numbering the elements of each vector in this step, the same numbering rule should be used with other vectors in this method to ensure that the elements in each vector in this step Any element, with the elements of the same number in other vectors, expresses the relevant information of the same monitored quantity or the same object; the definition of C i tk is the same as that of the vector C o , and the elements of C i tk are the same as C The elements of o correspond one by one;
h3.每一次计算得到的向量Ci tk减去向量Ci o得到一个向量,再将该向量的每一个元素都除以本次计算所假设的单位损伤或载荷单位变化数值后得到一个“被监测量的数值变化向量δCi k”;有N个被评估对象就有N个“被监测量的数值变化向量”;h3. The vector C i tk obtained by each calculation is subtracted from the vector C i o to obtain a vector, and then each element of the vector is divided by the value of unit damage or load unit change assumed in this calculation to obtain a "being The numerical change vector of the monitored quantity δC i k "; if there are N evaluated objects, there are N "numerical change vectors of the monitored quantity";
h4.由这N个“被监测量的数值变化向量”按照N个被评估对象的编号规则,依次组成有N列的“单位损伤被监测量数值变化矩阵ΔCi”;单位损伤被监测量数值变化矩阵ΔCi的每一列对应于一个被监测量单位变化向量;单位损伤被监测量数值变化矩阵ΔCi的每一行对应于同一个被监测量在不同被评估对象增加单位损伤或载荷单位变化时的不同的单位变化幅度;单位损伤被监测量数值变化矩阵ΔCi的列的编号规则与向量do的元素的编号规则相同,单位损伤被监测量数值变化矩阵ΔCi的行的编号规则与M个被监测量的编号规则相同;h4. From these N "value change vectors of monitored quantities" according to the numbering rules of N evaluated objects, a "value change matrix ΔC i of unit damage monitored quantities" with N columns is formed in turn; the value of unit damage monitored quantities Each column of the change matrix ΔC i corresponds to a unit change vector of the monitored quantity; each row of the value change matrix ΔC i of the unit damage monitored quantity corresponds to the same monitored quantity when the unit damage or load unit changes for different evaluated objects Different unit change ranges; the numbering rules of the columns of the unit damage monitored quantity numerical change matrix ΔC i are the same as the numbering rules of the elements of the vector d o , and the numbering rules of the rows of the unit damage monitored quantity numerical change matrix ΔC i are the same as M The numbering rules of the monitored quantities are the same;
i.定义当前名义损伤向量di c和当前实际损伤向量di,di c和di的元素个数等于被评估对象的数量,di c和di的元素和被评估对象之间是一一对应关系,di c的元素数值代表对应被评估对象的名义损伤程度或名义载荷变化量,di c和di与被评估对象初始损伤向量do的元素编号规则相同,di c的元素、di的元素与do的元素是一一对应关系;i. Define the current nominal damage vector d i c and the current actual damage vector d i , the number of elements of d i c and d i is equal to the number of evaluated objects, and the distance between the elements of d i c and d i and the evaluated object is One-to-one correspondence, the element value of d i c represents the nominal damage degree or nominal load change of the corresponding evaluated object, d i c and d i are the same as the element numbering rules of the initial damage vector d o of the evaluated object, d i c The elements of , the elements of d i and the elements of d o are in one-to-one correspondence;
j.依据被监测量当前数值向量Ci同“被监测量当前初始数值向量Ci o”、“单位损伤被监测量数值变化矩阵ΔCi”和“当前名义损伤向量di c”间存在的近似线性关系,该近似线性关系可表达为式1,式1中除di c外的其它量均为已知,求解式1就可以算出当前名义损伤向量di c;j. According to the relationship between the current numerical vector C i of the monitored quantity and the "current initial numerical vector C i o of the monitored quantity", "the numerical change matrix ΔC i of the monitored quantity with unit damage" and "the current nominal damage vector d i c " Approximate linear relationship, the approximate linear relationship can be expressed as formula 1. In formula 1, other quantities except d i c are known, and the current nominal damage vector d i c can be calculated by solving formula 1;
k.利用式2表达的当前实际损伤向量di的第k个元素di k同被评估对象当前初始损伤向量di o的第k个元素di ok和当前名义损伤向量di c的第k个元素di ck间的关系,计算得到当前实际损伤向量di的所有元素;k. The kth element d i k of the current actual damage vector d i expressed by formula 2 is the same as the kth element d i ok of the current initial damage vector d i o of the evaluated object and the kth element d i ok of the current nominal damage vector d i c The relationship between k elements d i ck is calculated to obtain all the elements of the current actual damage vector d i ;
式2中k=1,2,3,……,N;向量di的元素的编号规则与式(1)中向量do的元素的编号规则相同;di k表示第i次循环中第k个被评估对象的当前实际健康状态,如果该被评估对象是索系统中的一根支承索,那么di k表示其当前健康问题的严重程度,有健康问题的支承索可能是松弛索、也可能是受损索,di k数值反应了该支承索的松弛或损伤的程度;将被评估对象当前实际损伤向量di中与M1根支承索相关的M1个元素取出,组成支承索当前实际损伤向量dci,支承索当前实际损伤向量dci的元素的编号规则与初始索力向量Fo的元素的编号规则相同;支承索当前实际损伤向量dci的第h个元素表示索结构中第h根支承索的当前实际损伤量,h=1,2,3,…….,M1;支承索当前实际损伤向量dci中数值不为0的元素对应于有健康问题的支承索,从这些有健康问题的支承索中鉴别出受损索,剩下的就是松弛索;与受损索对应的支承索当前实际损伤向量dci中的元素的数值表达的是该受损索的当前实际损伤,元素数值为100%时表示该支承索彻底丧失承载能力,介于0与100%之间时表示丧失相应比例的承载能力;利用在当前索结构稳态温度数据向量Ti条件下的、在第l步鉴别出的松弛索及用支承索当前实际损伤向量dci表达的这些松弛索的、与其松弛程度力学等效的当前实际等效损伤程度,利用在第f步获得的在当前索结构稳态温度数据向量Ti条件下的当前索力向量Fi和当前支承索两支承端点水平距离向量,利用在第c步获得的在初始索结构稳态温度数据向量To条件下的支承索的初始自由长度向量、初始自由横截面面积向量和初始自由单位长度的重量向量、初始索力向量Fo,利用当前索结构稳态温度数据向量Ti表示的支承索当前稳态温度数据,利用在第c步获得的在初始索结构稳态温度数据向量To表示的支承索初始稳态温度数据,利用在第c步获得的索结构所使用的各种材料的随温度变化的物理和力学性能参数,计入温度变化对支承索物理、力学和几何参数的影响,通过将松弛索同受损索进行力学等效来计算松弛索的、与当前实际等效损伤程度等效的松弛程度,力学等效条件是:一、两等效的索的无松弛和无损伤时的初始自由长度、几何特性参数、密度及材料的力学特性参数相同;二、松弛或损伤后,两等效的松弛索和损伤索的索力和变形后的总长相同;满足上述两个力学等效条件时,这样的两根支承索在索结构中的力学功能就是完全相同的,即如果用等效的松弛索代替受损索后,索结构不会发生任何变化,反之亦然;依据前述力学等效条件求得那些被判定为松弛索的松弛程度,松弛程度就是支承索自由长度的改变量,也就是确定了那些需调整索力的支承索的索长调整量;这样就实现了支承索的松弛识别和损伤识别;计算时所需索力由当前索力向量Fi对应元素给出;本方法将受损索和松弛索统称为有健康问题的支承索,简称为问题索,至此本方法实现了剔除支座广义位移、载荷变化和结构温度变化的影响的、索结构的问题索识别,同时实现了剔除支座广义位移、结构温度变化和支承索健康状态变化影响的、载荷变化量的识别;In formula 2, k =1,2,3,...,N; the numbering rule of the elements of the vector d i is the same as the numbering rule of the elements of the vector d o in the formula (1); The current actual health status of k evaluated objects, if the evaluated object is a supporting cable in the cable system, then d i k represents the severity of its current health problems, and the supporting cables with health problems may be slack cables, It may also be a damaged cable, and the d i k value reflects the degree of relaxation or damage of the supporting cable; the M 1 elements related to the M 1 supporting cables in the current actual damage vector d i of the evaluated object are taken out to form a supporting The current actual damage vector d ci of the cable, the numbering rule of the elements of the current actual damage vector d ci of the supporting cable is the same as the numbering rule of the elements of the initial cable force vector F o ; the hth element of the current actual damage vector d ci of the supporting cable represents the The current actual damage amount of the hth support cable in the structure, h=1, 2, 3,..., M 1 ; the elements whose value is not 0 in the current actual damage vector d ci of the support cable correspond to supports with health problems The damaged cables are identified from these supporting cables with health problems, and the rest are slack cables; the value of the elements in the current actual damage vector d ci of the supporting cables corresponding to the damaged cables expresses When the element value is 100%, it means that the supporting cable completely loses its bearing capacity, and when it is between 0 and 100%, it means that the corresponding proportion of bearing capacity is lost; using the current cable structure steady-state temperature data vector T i condition The following, the slack cables identified in step l and the current actual equivalent damage degree of these slack cables expressed by the current actual damage vector d ci of the support cables, which are mechanically equivalent to their slack degrees, use the obtained in step f Under the current cable structure steady-state temperature data vector T i condition, the current cable force vector F i and the horizontal distance vector between the two supporting ends of the current supporting cable, use the initial cable structure steady-state temperature data vector T o condition obtained in step c The initial free length vector of the supporting cable, the initial free cross-sectional area vector, the initial free weight vector per unit length, the initial cable force vector F o , and the current steady state of the supporting cable represented by the current cable structure steady-state temperature data vector T i Temperature data, using the initial steady-state temperature data of the supporting cable represented by the initial cable structure steady-state temperature data vector T o obtained in step c, using the temperature changes of various materials used in the cable structure obtained in step c Taking into account the influence of temperature changes on the physical, mechanical and geometric parameters of the supporting cable, the mechanical equivalent of the slack cable and the damaged cable is used to calculate the equivalent damage degree of the slack cable and the current actual equivalent damage degree. The mechanical equivalent conditions are: 1. The initial free length, geometric characteristic parameters, density and material mechanical characteristic parameters of the two equivalent cables are the same when there is no relaxation and no damage; 2. After relaxation or damage, the two The cable force and the total length after deformation of the equivalent slack cable and the damaged cable are the same; when the above two mechanical equivalence conditions are satisfied, such two supports The mechanical function of the cable in the cable structure is exactly the same, that is, if the damaged cable is replaced by an equivalent slack cable, the cable structure will not change, and vice versa; is the slack degree of the slack cable, the slack degree is the change of the free length of the support cable, that is, the adjustment amount of the cable length of the support cable whose force needs to be adjusted is determined; in this way, the slack identification and damage identification of the support cable are realized; the calculation The required cable force is given by the corresponding elements of the current cable force vector F i ; in this method, the damaged cable and the slack cable are collectively referred to as the support cable with health problems, referred to as the problem cable. , the influence of load change and structural temperature change, and the identification of problem cables in the cable structure, and at the same time realize the identification of the load change that eliminates the influence of generalized displacement of the support, structural temperature change and health state change of the support cable;
l.在求得当前名义损伤向量di c后,按照式3建立标识向量Bi,式4给出了标识向量Bi的第k个元素的定义;l. After obtaining the current nominal damage vector d i c , establish the identification vector B i according to formula 3, and formula 4 gives the definition of the kth element of the identification vector B i ;
式4中元素Bi k是标识向量Bi的第k个元素,Di uk是被评估对象单位变化向量Di u的第k个元素,di ck是被评估对象当前名义损伤向量di c的第k个元素,它们都表示第k个被评估对象的相关信息,式4中k=1,2,3,……,N;In formula 4, the element B i k is the kth element of the identification vector B i , D i uk is the kth element of the unit change vector D i u of the evaluated object, d i ck is the current nominal damage vector d i of the evaluated object The kth element of c , they all represent the relevant information of the kth evaluated object, k=1,2,3,...,N in formula 4;
m.如果标识向量Bi的元素全为0,则回到步骤f继续本次循环;如果标识向量Bi的元素不全为0,则进入下一步、即步骤n;m. If the elements of the identification vector B i are all 0, then get back to step f to continue this cycle; if the elements of the identification vector B i are not all 0, then enter the next step, namely step n;
n.根据式5计算得到下一次、即第i+1次循环所需的被评估对象当前初始损伤向量di+1 o的每一个元素;n. Calculate each element of the current initial damage vector d i+1 o of the evaluated object required for the next, ie i+1th cycle, according to formula 5;
式5中di+1 ok是下一次、即第i+1次循环所需的被评估对象当前初始损伤向量di+1 o的第k个元素,di ok是本次、即第i次循环的被评估对象当前初始损伤向量di o的第k个元素,Di uk是第i次循环的被评估对象单位变化向量Di u的第k个元素,Bi k是第i次循环的标识向量Bi的第k个元素,式5中k=1,2,3,……,N;In formula 5, d i+1 ok is the kth element of the current initial damage vector d i+1 o of the evaluated object required for the next cycle, that is, the i+1th cycle, and d i ok is this time, that is, the ith The k-th element of the current initial damage vector d i o of the evaluated object in the second cycle, D i uk is the k-th element of the unit change vector D i u of the evaluated object in the i-th cycle, and B i k is the i-th The kth element of the cyclic identification vector B i , k=1,2,3,...,N in formula 5;
o.在初始力学计算基准模型Ao的基础上,先对Ao中的索结构支座施加支座广义位移约束,支座广义位移约束的数值就取自支座广义位移向量V中对应元素的数值,再对Ao中的索结构施加温度变化,施加的温度变化的数值就取自稳态温度变化向量S,再令索的健康状况为di+1 o后得到的就是下一次、即第i+1次循环所需的力学计算基准模型Ai+1;得到Ai+1后,通过力学计算得到Ai+1中所有被监测量的、当前的具体数值,这些具体数值组成下一次、即第i+1次循环所需的被监测量当前初始数值向量Ci+1 o;o. On the basis of the initial mechanical calculation benchmark model A o , the support generalized displacement constraint is first imposed on the cable structure support in A o , and the value of the support generalized displacement constraint is taken from the corresponding element in the support generalized displacement vector V value, and then apply a temperature change to the cable structure in A o , the value of the applied temperature change is taken from the steady-state temperature change vector S, and then let the health status of the cable be d i+1 o to get the next time, That is, the mechanical calculation benchmark model A i+1 required for the i+1th cycle; after obtaining A i+1 , obtain the current specific values of all monitored quantities in A i+1 through mechanical calculations, and these specific values consist of The current initial value vector C i+1 o of the monitored quantity required for the next time, that is, the i+1th cycle;
p.取下一次、即第i+1次循环所需的当前初始索结构稳态温度数据向量Ti+1 o等于第i次循环的当前初始索结构稳态温度数据向量Ti o;下一次、即第i+1次循环所需的当前初始索结构支座广义坐标向量Ui+1 o等于第i次循环的当前初始索结构支座广义坐标向量Ui o;p. Take the current initial cable structure steady-state temperature data vector T i+1 o required for the next cycle, that is, the i+1th cycle, which is equal to the current initial cable structure steady-state temperature data vector T i o of the i-th cycle; The current initial cable structure support generalized coordinate vector U i+1 o required for the i+1th cycle is equal to the current initial cable structure support generalized coordinate vector U i o of the ith cycle;
q.回到步骤f,开始下一次循环。q. Go back to step f and start the next cycle.
有益效果:结构健康监测系统首先通过使用传感器对结构响应进行长期在线监测,获得监测数据后对其进行在线(或离线)分析得到结构健康状态数据,由于结构的复杂性,结构健康监测系统需要使用大量的传感器等设备进行结构健康监测,因此其造价通常相当高,因此造价问题是制约结构健康监测技术应用的一个主要问题。另一方面,核心被评估对象(例如斜拉索)的健康状态的正确识别是结构健康状态的正确识别的不可或缺的组成部分,甚至是其全部,而次要被评估对象(例如结构承受的载荷)的变化(例如通过斜拉桥的汽车的数量和质量的变化)的正确识别对索结构的健康状态的正确识别的影响是微乎其微的,甚至是不需要的。但是次要被评估对象的数量与核心被评估对象的数量通常是相当的,次要被评估对象的数量还常常大于核心被评估对象的数量,这样被评估对象的数量常常是核心被评估对象的数量的多倍。在次要被评估对象(载荷)发生变化时,为了准确识别核心被评估对象,常规方法要求被监测量(使用传感器等设备测量获得)的数量必须大于等于被评估对象的数量,当发生变化的次要被评估对象的数量比较大时(实际上经常如此),结构健康监测系统所需要的传感器等设备的数量是非常庞大的,因此结构健康监测系统的造价就会变得非常高,甚至高得不可接受。发明人研究发现,在次要被评估对象(例如结构承受的正常载荷,结构的正常载荷是指结构正在承受的载荷不超过按照结构设计书或结构竣工书所限定的结构许用载荷)变化较小时(对于载荷而言就是结构仅仅承受正常载荷,结构承受的载荷是否是正常载荷,能够通过肉眼等方法观察确定,如果发现结构承受的载荷不是正常载荷,那么人为去除、移除非正常载荷后,结构就只承受正常载荷了),它们所引起的结构响应的变化幅度(本说明书称其为“次要响应”)远小于核心被评估对象的变化(例如支承索受损)所引起的结构响应的变化幅度(本说明书称其为“核心响应”),次要响应与核心响应之和是结构响应的总变化(本说明书称其为“总体响应”),显然核心响应在总体响应中占据主导地位,基于此,发明人研究发现在确定被监测量数量时即使选取稍大于核心被评估对象数量、但远小于被评估对象数量的数值(本方法就是这样做的),也就是说即使采用数量相对少很多的传感器等设备,仍然可以准确获得核心被评估对象的健康状态数据,满足结构健康状态监测的核心需求,因此本方法所建议的结构健康监测系统的造价显而易见地比常规方法所要求的结构健康监测系统的造价低很多,也就是说本方法能够以造价低得多的条件实现对索结构的核心被评估对象的健康状态的评估,这种益处是对结构健康监测技术能否被采用是举足轻重的。Beneficial effects: the structural health monitoring system first uses sensors to monitor the structural response on-line for a long time, and then analyzes the monitoring data online (or offline) to obtain the structural health status data. Due to the complexity of the structure, the structural health monitoring system needs to use A large number of sensors and other equipment are used for structural health monitoring, so the cost is usually quite high, so the cost problem is a major problem restricting the application of structural health monitoring technology. On the other hand, the correct identification of the health status of the core assessed objects (such as stay cables) is an integral part of, or even the whole of, the correct identification of the structural health status, while the secondary assessed objects (such as structural bearing The correct identification of changes in the load (such as changes in the number and mass of cars passing a cable-stayed bridge) has little or no effect on the correct identification of the state of health of the cable structure. However, the number of secondary evaluated objects is usually equal to the number of core evaluated objects, and the number of secondary evaluated objects is often greater than the number of core evaluated objects, so that the number of evaluated objects is often the number of core evaluated objects multiple times the number. When the secondary evaluated object (load) changes, in order to accurately identify the core evaluated object, the conventional method requires that the quantity of the monitored quantity (measured using sensors and other equipment) must be greater than or equal to the number of evaluated objects. When the number of secondary assessment objects is relatively large (in fact, it is often the case), the number of sensors and other equipment required by the structural health monitoring system is very large, so the cost of the structural health monitoring system will become very high, even high unacceptable. The inventors have found that the changes in the secondary evaluated objects (such as the normal load of the structure, the normal load of the structure means that the load that the structure is bearing does not exceed the structural allowable load defined in the structural design document or the structural completion document) are relatively small. Hours (For loads, the structure only bears normal loads. Whether the loads borne by the structure are normal loads can be determined by visual inspection. , the structure is only subjected to normal loads), the magnitude of the change in the structural response caused by them (this specification is called "secondary response") is much smaller than that caused by the change of the core assessed object (such as damage to the support cable) The magnitude of change in the response (this specification calls it "core response"), the sum of the secondary response and the core response is the total change in the structural response (this specification calls it the "overall response"), obviously the core response occupies the overall response Based on this, the inventor found that when determining the number of monitored quantities, even if a value slightly larger than the number of core evaluated objects is selected, but far smaller than the number of evaluated objects (this method is done in this way), that is to say, even if A relatively small number of sensors and other equipment can still accurately obtain the health status data of the core assessed objects and meet the core needs of structural health status monitoring. Therefore, the cost of the structural health monitoring system proposed by this method is obviously higher than that required by conventional methods. The cost of the structural health monitoring system is much lower, that is to say, this method can realize the evaluation of the health status of the core evaluated object of the cable structure at a much lower cost. Adoption is pivotal.
具体实施方式Detailed ways
本方法采用一种算法,该算法用于识别核心被评估对象的健康状态。具体实施时,下列步骤是可采取的各种步骤中的一种。The method employs an algorithm for identifying the health status of core assessed subjects. During specific implementation, the following steps are one of various steps that may be taken.
第一步:首先确认索结构承受的可能发生变化的载荷的数量。根据索结构所承受的载荷的特点,确认其中“所有可能发生变化的载荷”,或者将所有的载荷视为“所有可能发生变化的载荷”,设共有JZW个可能发生变化的载荷,即共有JZW个次要被评估对象。设索结构的支承索的数量和JZW个“所有可能发生变化的载荷”的数量之和为N,即共有N个被评估对象。给被评估对象连续编号,该编号在后续步骤中将用于生成向量和矩阵。Step 1: First identify the amount of possible varying loads that the cable structure will be subjected to. According to the characteristics of the loads borne by the cable structure, confirm "all the loads that may change", or regard all the loads as "all the loads that may change", let there be a total of JZW loads that may change, that is, a total of JZW A secondary object to be evaluated. Let the sum of the number of supporting cables of the cable structure and the number of JZW "all possible changing loads" be N, that is, there are N evaluated objects. Consecutively number the evaluated objects, which will be used to generate vectors and matrices in subsequent steps.
被监测的多类参量可以包括:索力、应变、角度和空间坐标,分别叙述如下:The multi-type parameters to be monitored may include: cable force, strain, angle and spatial coordinates, which are described as follows:
设索系统中共有Q根支承索,即共有Q个核心被评估对象,索结构的被监测的索力数据由索结构上M1个指定索的M1个索力数据来描述,索结构索力的变化就是所有指定索的索力的变化。每次共有M1个索力测量值或计算值来表征索结构的索力信息。M1是一个不小于0的整数。Assuming that there are Q supporting cables in the cable system, that is, there are Q core objects to be evaluated, the monitored cable force data of the cable structure is described by M 1 cable force data of M 1 specified cables on the cable structure, and the cable structure cable The force change is the change in cable force for all specified cables. Each time there are M1 cable force measurements or calculations to represent the cable force information of the cable structure. M 1 is an integer not less than 0.
索结构的被监测的应变数据可由索结构上K2个指定点的、及每个指定点的L2个指定方向的应变来描述,索结构应变数据的变化就是K2个指定点的所有被测应变的变化。每次共有M2(M2=K2×L2)个应变测量值或计算值来表征索结构应变。M2是一个不小于0的整数。The monitored strain data of the cable structure can be described by the strains of K 2 designated points on the cable structure and L 2 designated directions of each designated point. The change of the strain data of the cable structure is all the K 2 designated points Measure the change in strain. Each time there are M 2 (M 2 =K 2 ×L 2 ) measured or calculated strain values to characterize the strain of the cable structure. M 2 is an integer not less than 0.
索结构的被监测的角度数据由索结构上K3个指定点的、过每个指定点的L3个指定直线的、每个指定直线的H3个角度坐标分量来描述,索结构角度的变化就是所有指定点的、所有指定直线的、所有指定的角度坐标分量的变化。每次共有M3(M3=K3×L3×H3)个角度坐标分量测量值或计算值来表征索结构的角度信息。M3是一个不小于0的整数。The monitored angle data of the cable structure is described by K 3 designated points on the cable structure, L 3 designated straight lines passing through each designated point, and H 3 angular coordinate components of each designated straight line. The change is the change of all specified points, all specified lines, and all specified angular coordinate components. Each time there are M 3 (M 3 =K 3 ×L 3 ×H 3 ) measured or calculated values of the angle coordinate components to represent the angle information of the cable structure. M 3 is an integer not less than 0.
索结构的被监测的形状数据由索结构上K4个指定点的、及每个指定点的L4个指定方向的空间坐标来描述,索结构形状数据的变化就是K4个指定点的所有坐标分量的变化。每次共有M4(M4=K4×L4)个坐标测量值或计算值来表征索结构形状。M4是一个不小于0的整数。The monitored shape data of the cable structure is described by the spatial coordinates of K 4 specified points on the cable structure and L 4 specified directions of each specified point. The change of the shape data of the cable structure is all of the K 4 specified points. Changes in coordinate components. Each time there are M 4 (M 4 =K 4 ×L 4 ) coordinate measurement values or calculation values to characterize the shape of the cable structure. M 4 is an integer not less than 0.
综合上述被监测量,整个索结构共有M(M=M1+M2+M3+M4)个被监测量,定义参量K(K=M1+K2+K3+K4),M不得小于核心被评估对象的数量加4,M小于被评估对象的数量N。Based on the above-mentioned monitored quantities, the entire cable structure has M (M=M 1 +M 2 +M 3 +M 4 ) monitored quantities, and the defined parameter K (K=M 1 +K 2 +K 3 +K 4 ), M must not be less than the number of core evaluated objects plus 4, and M is smaller than the number N of evaluated objects.
为方便起见,在本方法中将“索结构的被监测的所有参量”简称为“被监测量”。给M个被监测量连续编号,该编号在后续步骤中将用于生成向量和矩阵。本方法用用变量j表示这一编号,j=1,2,3,…,M。For convenience, in this method, "all monitored parameters of the cable structure" are referred to as "monitored quantities" for short. Number the M monitored quantities consecutively, and this number will be used to generate vectors and matrices in subsequent steps. The method uses variable j to denote this number, j=1,2,3,...,M.
按技术方案规定步骤确定“本方法的索结构的温度测量计算方法”。Determine the "temperature measurement and calculation method of the cable structure of this method" according to the steps specified in the technical plan.
第二步:建立初始力学计算基准模型Ao。The second step: establish the initial mechanical calculation benchmark model A o .
在索结构竣工之时,或者在建立健康监测系统前,按照“本方法的索结构的温度测量计算方法”测量计算得到“索结构稳态温度数据”(可以用常规温度测量方法测量,例如使用热电阻测量),此时的“索结构稳态温度数据”用向量To表示,称为初始索结构稳态温度数据向量To。在实测得到To的同时,使用常规方法直接测量计算得到索结构的所有被监测量的初始数值,组成被监测量初始数值向量Co。When the cable structure is completed, or before the health monitoring system is established, the "cable structure steady-state temperature data" is measured and calculated according to the "temperature measurement and calculation method of the cable structure of this method" (it can be measured by conventional temperature measurement methods, such as using Thermal resistance measurement), the "cable structure steady-state temperature data" at this time is represented by a vector T o , which is called the initial cable structure steady-state temperature data vector T o . When T o is obtained from the actual measurement, the initial values of all monitored quantities of the cable structure are directly measured and calculated by conventional methods to form the initial value vector C o of the monitored quantities.
本方法中可以具体按照下列方法在获得某某(例如初始或当前等)索结构稳态温度数据向量的时刻的同一时刻,使用某某方法测量计算得到某某被测量量被监测量(例如索结构的所有被监测量)的数据:在测量记录温度(包括索结构所在环境的气温、参考平板的向阳面的温度和索结构表面温度)的同时,例如每隔10分钟测量记录一次温度,那么同时同样也每隔10分钟测量记录某某被测量量被监测量(例如索结构的所有被监测量)的数据。一旦确定了获得索结构稳态温度数据的时刻,那么与获得索结构稳态温度数据的时刻同一时刻的某某被测量量被监测量(例如索结构的所有被监测量)的数据就称为在获得索结构稳态温度数据的时刻的同一时刻,使用某某方法测量计算方法得到的某某被测量量被监测量的数据。In this method, the following method can be used to measure and calculate a certain measured quantity and monitored quantity (for example, a cable structure) at the same moment when a certain (such as initial or current, etc.) cable structure steady-state temperature data vector is obtained. All monitored quantities of the structure) data: while measuring and recording the temperature (including the air temperature of the environment where the cable structure is located, the temperature of the sunny side of the reference plate and the surface temperature of the cable structure), for example, measuring and recording the temperature every 10 minutes, then At the same time, the data of a certain measured quantity and monitored quantity (such as all monitored quantities of the cable structure) are also measured and recorded every 10 minutes. Once the time to obtain the steady-state temperature data of the cable structure is determined, the data of a certain measured quantity and monitored quantity (for example, all monitored quantities of the cable structure) at the same time as the time when the steady-state temperature data of the cable structure is obtained is called At the same moment when the steady-state temperature data of the cable structure is obtained, the data of a certain measured quantity and a certain monitored quantity obtained by a certain method are measured by a certain method.
使用常规方法(查资料或实测)得到索结构所使用的各种材料的随温度变化的物理参数(例如热膨胀系数)和力学性能参数(例如弹性模量、泊松比)。The temperature-dependent physical parameters (such as thermal expansion coefficient) and mechanical performance parameters (such as elastic modulus and Poisson's ratio) of various materials used in the cable structure are obtained by conventional methods (research information or actual measurement).
在实测得到To的同时,直接测量计算得到所有支承索的初始索力,组成初始索力向量Fo;依据索结构设计数据、竣工数据得到所有支承索在自由状态即索力为0时的长度、在自由状态时的横截面面积和在自由状态时的单位长度的重量,以及获得这三种数据时所有支承索的温度,在此基础上利用所有支承索的随温度变化的物理性能参数和力学性能参数,按照常规物理计算得到所有支承索在初始索结构稳态温度数据向量To条件下的索力为0时所有支承索的长度、索力为0时所有支承索的横截面面积以及索力为0时所有支承索的单位长度的重量,依次组成支承索的初始自由长度向量lo、初始自由横截面面积向量Ao和初始自由单位长度的重量向量ωo,支承索的初始自由长度向量lo、初始自由横截面面积向量Ao和初始自由单位长度的重量向量ωo的元素的编号规则与初始索力向量Fo的元素的编号规则相同。While T o is obtained from the actual measurement, the initial cable forces of all supporting cables are directly measured and calculated to form the initial cable force vector F o ; according to the cable structure design data and completion data, the values of all supporting cables in the free state, that is, when the cable force is 0, are obtained. Length, cross-sectional area in the free state and weight per unit length in the free state, as well as the temperature of all supporting cables when these three data are obtained, based on which the physical performance parameters of all supporting cables that vary with temperature are used and mechanical performance parameters, according to conventional physical calculations, the length of all supporting cables when the cable force is 0 and the cross-sectional area of all supporting cables when the cable force is 0 under the condition of the initial cable structure steady-state temperature data vector T o And the weight per unit length of all supporting cables when the cable force is 0, constitute the initial free length vector l o of the supporting cables, the initial free cross-sectional area vector A o and the weight vector ω o of the initial free unit length of the supporting cables in turn, the initial The numbering rules of the elements of the free length vector l o , the initial free cross-sectional area vector A o and the initial free unit length weight vector ω o are the same as the numbering rules of the elements of the initial cable force vector F o .
按技术方案规定步骤,在实测得到To的同时,使用常规方法实测计算得到索结构的实测计算数据。利用索结构的设计图、竣工图和初始索结构的实测数据、支承索的无损检测数据、索结构所使用的各种材料的随温度变化的物理和力学性能参数、初始索结构支座广义坐标向量Uo和初始索结构稳态温度数据向量To,利用力学方法(例如有限元法)计入“索结构稳态温度数据”建立初始力学计算基准模型Ao。To、Uo和do是Ao的参数,Co由Ao的力学计算结果组成。According to the steps specified in the technical plan, while T o is obtained through actual measurement, the actual measurement and calculation data of the cable structure are obtained through actual measurement and calculation using conventional methods. Utilize the design drawing, as-built drawing of the cable structure, the measured data of the initial cable structure, the non-destructive testing data of the supporting cable, the physical and mechanical performance parameters of various materials used in the cable structure as a function of temperature, and the generalized coordinates of the initial cable structure support The vector U o and the initial cable structure steady-state temperature data vector T o are incorporated into the "cable structure steady-state temperature data" using mechanical methods (such as finite element method) to establish the initial mechanical calculation benchmark model A o . T o , U o and d o are parameters of A o , and C o is composed of mechanical calculation results of A o .
第三步:在本方法中,字母i除了明显地表示步骤编号的地方外,字母i仅表示循环次数,即第i次循环;第i次循环开始时需要建立的或已建立的索结构的当前初始力学计算基准模型记为当前初始力学计算基准模型Ai o,Ao和Ai o计入了温度参数,可以计算温度变化对索结构的力学性能影响;第i次循环开始时,对应于Ai o的“索结构稳态温度数据”用当前初始索结构稳态温度数据向量Ti o表示,向量Ti o的定义方式与向量To的定义方式相同,Ti o的元素与To的元素一一对应;第i次循环开始时需要的、对应于索结构的当前初始力学计算基准模型Ai o的索结构支座广义坐标数据组成当前初始索结构支座广义坐标向量Ui o,第一次建立索结构的当前初始力学计算基准模型Ai o时,Ui o就等于Uo。第i次循环开始时需要的被评估对象当前初始损伤向量记为di o,di o表示该次循环开始时索结构Ai o的被评估对象的健康状态,di o的定义方式与do的定义方式相同,di o的元素与do的元素一一对应;第i次循环开始时,所有被监测量的初始值,用被监测量当前初始数值向量Ci o表示,向量Ci o的定义方式与向量Co的定义方式相同,Ci o的元素与Co的元素一一对应,被监测量当前初始数值向量Ci o表示对应于Ai o的所有被监测量的具体数值;Ti o和di o是Ai o的特性参数;Ci o由Ai o的力学计算结果组成;第一次循环开始时,Ai o记为A1 o,建立A1 o的方法为使A1 o等于Ao;第一次循环开始时,Ti o记为T1 o,建立T1 o的方法为使T1 o等于To;第一次循环开始时,Ui o记为U1 o,建立U1 o的方法为使U1 o等于Uo;第一次循环开始时,di o记为d1 o,建立d1 o的方法为使d1 o等于do;第一次循环开始时,Ci o记为C1 o,建立C1 o的方法为使C1 o等于Co。The third step: in this method, except the place where the letter i clearly represents the step number, the letter i only represents the number of cycles, i.e. the ith cycle; The current initial mechanical calculation benchmark model is denoted as the current initial mechanical calculation benchmark model A i o , A o and A i o include temperature parameters, and the influence of temperature changes on the mechanical properties of the cable structure can be calculated; at the beginning of the i-th cycle, the corresponding The "cable structure steady-state temperature data" in A i o is represented by the current initial cable structure steady-state temperature data vector T i o , the definition of vector T i o is the same as that of vector T o , and the elements of T i o are the same as The elements of T o are in one-to-one correspondence; the generalized coordinate data of the cable structure support required at the beginning of the i-th cycle and corresponding to the current initial mechanical calculation benchmark model A i o of the cable structure constitute the current initial cable structure support generalized coordinate vector U i o , when the current initial mechanical calculation benchmark model A i o of the cable structure is established for the first time, U i o is equal to U o . The current initial damage vector of the evaluated object required at the beginning of the i-th cycle is denoted as d i o , d i o represents the health status of the evaluated object of the cable structure A i o at the beginning of the cycle, and the definition of d i o is the same as d o is defined in the same way, and the elements of d i o correspond to the elements of d o one by one; at the beginning of the i-th cycle, the initial values of all monitored quantities are represented by the current initial value vector C i o of the monitored quantity, and the vector The definition method of C i o is the same as the definition method of vector C o , the elements of C i o correspond to the elements of C o one by one, and the current initial value vector C i o of the monitored quantity represents all the monitored quantities corresponding to A i o The specific value of ; T i o and d i o are the characteristic parameters of A i o ; C i o is composed of the mechanical calculation results of A i o ; at the beginning of the first cycle, A i o is recorded as A 1 o , and A The method of 1 o is to make A 1 o equal to A o ; at the beginning of the first cycle, T i o is recorded as T 1 o , and the method of establishing T 1 o is to make T 1 o equal to T o ; at the beginning of the first cycle , U i o is recorded as U 1 o , the method of establishing U 1 o is to make U 1 o equal to U o ; at the beginning of the first cycle, d i o is recorded as d 1 o , and the method of establishing d 1 o is to make d 1 o is equal to d o ; at the beginning of the first cycle, C i o is recorded as C 1 o , and the method of establishing C 1 o is to make C 1 o equal to C o .
第四步:安装索结构健康监测系统的硬件部分。硬件部分至少包括:被监测量监测系统(例如含角度测量分系统、索力测量分系统、应变测量分系统、空间坐标测量分系统、信号调理器等)、索结构支座广义坐标监测系统(含全站仪、角度测量传感器、信号调理器等)、索结构温度监测系统(含温度传感器、信号调理器等)和索结构环境温度测量系统(含温度传感器、信号调理器等)、支承索索力监测系统、支承索的支承端点的空间坐标监测系统、信号(数据)采集器、计算机和通信报警设备。每一个被监测量、索结构的每一个支座广义坐标、每一个温度、每一根支承索的索力、每一根支承索的支承端点的空间坐标都必须被监测系统监测到,监测系统将监测到的信号传输到信号(数据)采集器;信号经信号采集器传递到计算机;计算机则负责运行索结构的被评估对象的健康监测软件,包括记录信号采集器传递来的信号;当监测到被评估对象健康状态有变化时,计算机控制通信报警设备向监控人员、业主和(或)指定的人员报警。Step 4: Install the hardware part of the cable structure health monitoring system. The hardware part includes at least: the monitored quantity monitoring system (such as angle measurement subsystem, cable force measurement subsystem, strain measurement subsystem, space coordinate measurement subsystem, signal conditioner, etc.), cable structure support generalized coordinate monitoring system ( Including total station, angle measurement sensor, signal conditioner, etc.), cable structure temperature monitoring system (including temperature sensor, signal conditioner, etc.) and cable structure environment temperature measurement system (including temperature sensor, signal conditioner, etc.), supporting cable A force monitoring system, a space coordinate monitoring system of the supporting end point of the supporting cable, a signal (data) collector, a computer and a communication alarm device. Each monitored quantity, the generalized coordinates of each support of the cable structure, each temperature, the cable force of each supporting cable, and the spatial coordinates of the supporting end points of each supporting cable must be monitored by the monitoring system. The monitored signal is transmitted to the signal (data) collector; the signal is transmitted to the computer through the signal collector; the computer is responsible for running the health monitoring software of the evaluated object of the cable structure, including recording the signal transmitted by the signal collector; when monitoring When there is a change in the health status of the evaluated object, the computer controls the communication alarm device to alarm the monitoring personnel, the owner and (or) the designated personnel.
第五步:编制并在计算机上安装运行本方法的系统软件,该软件将完成本方法任务所需要的监测、记录、控制、存储、计算、通知、报警等功能(即本具体实施方法中所有可以用计算机完成的工作)。The 5th step: compile and install and run the system software of this method on the computer, this software will finish the functions such as monitoring, record, control, storage, computing, notification, alarm that this method task needs (that is all in this specific implementation method work that can be done with a computer).
第六步:由此步开始循环运作,在结构服役过程中,按照“本方法的索结构的温度测量计算方法”不断实测计算获得索结构稳态温度数据的当前数据,所有“索结构稳态温度数据”的当前数据组成当前索结构稳态温度数据向量Ti,向量Ti的定义方式与向量To的定义方式相同,Ti的元素与To的元素一一对应;在实测向量Ti的同时,实测得到索结构中所有被监测量的当前值,所有这些数值组成被监测量当前数值向量Ci,向量Ci的定义方式与向量Co的定义方式相同,Ci的元素与Co的元素一一对应,表示相同被监测量在不同时刻的数值。Step 6: This step starts the cycle operation. During the service process of the structure, the current data of the steady-state temperature data of the cable structure are obtained through continuous actual measurement and calculation according to the "temperature measurement and calculation method of the cable structure of this method". All "cable structure steady-state The current data of "Temperature Data" form the current cable structure steady-state temperature data vector T i , the definition of vector T i is the same as that of vector T o , and the elements of T i correspond to the elements of T o one by one; in the measured vector T At the same time as i , the current values of all the monitored quantities in the cable structure are actually measured, and all these values form the current value vector C i of the monitored quantity. The definition of the vector C i is the same as that of the vector C o . The elements of C i are the same as The elements of C o correspond to each other, indicating the value of the same monitored quantity at different times.
在实测向量Ti的同时,实测得到索结构支座广义坐标当前数据,所有数据组成当前索结构实测支座广义坐标向量Ui。At the same time as the measured vector T i , the current data of the generalized coordinates of the cable structure support are obtained from the actual measurement, and all the data form the current generalized coordinate vector U i of the measured support of the cable structure.
在实测向量Ti的同时,实测得到索结构中所有M1根支承索的索力数据,所有这些索力数据组成当前索力向量Fi,向量Fi的元素与向量Fo的元素的编号规则相同;在实测向量Ti的同时,实测计算得到所有M1根支承索的两个支承端点的空间坐标,两个支承端点的空间坐标在水平方向分量的差就是两个支承端点水平距离,所有M1根支承索的两个支承端点水平距离数据组成当前支承索两支承端点水平距离向量li x,当前支承索两支承端点水平距离向量li x的元素的编号规则与初始索力向量Fo的元素的编号规则相同。At the same time as the actual measurement of the vector T i , the cable force data of all M 1 supporting cables in the cable structure are obtained by actual measurement, all these cable force data form the current cable force vector F i , the numbers of the elements of the vector F i and the elements of the vector F o The rules are the same; at the same time as the measured vector T i , the measured and calculated spatial coordinates of the two supporting end points of all M1 supporting cables, the difference in the horizontal component of the spatial coordinates of the two supporting end points is the horizontal distance between the two supporting end points, The horizontal distance data of the two supporting ends of all M 1 supporting cables constitute the horizontal distance vector l i x of the two supporting ends of the current supporting cables, the numbering rules of the elements of the horizontal distance vector l i x between the two supporting ends of the current supporting cables and the initial cable force vector The numbering rules for the elements of F o are the same.
第七步:在得到当前索结构实测支座广义坐标向量Ui和当前索结构稳态温度数据向量Ti后,分别比较Ui和Ui o、Ti和Ti o,如果Ui等于Ui o且Ti等于Ti o,则不需要对Ai o、Ui o、Ci o和Ti o进行更新,否则需要对Ai o、Ui o、Ci o和Ti o进行更新,而被评估对象当前初始损伤向量di o保持不变,更新方法按技术方案规定步骤进行。Step 7: After obtaining the generalized coordinate vector U i of the measured support of the current cable structure and the steady-state temperature data vector T i of the current cable structure, compare U i and U i o , T i and T i o respectively, if U i is equal to U i o and T i is equal to T i o , then there is no need to update A i o , U i o , C i o and T i o , otherwise it is necessary to update A i o , U i o , C i o and T i o is updated, while the current initial damage vector d i o of the evaluated object remains unchanged, and the update method is carried out according to the steps specified in the technical plan.
第八步:按技术方案规定步骤,在当前初始力学计算基准模型Ai o的基础上,进行若干次力学计算,通过计算建立单位损伤被监测量数值变化矩阵ΔCi和被评估对象单位变化向量Di u。具体的,如果该被评估对象是索系统中的一根支承索,那么就假设该支承索在向量di o表示的该支承索已有损伤的基础上再有单位损伤(例如取5%、10%、20%或30%等损伤为单位损伤),如果该被评估对象是一个载荷,就假设该载荷在向量di o表示的该载荷已有变化量的基础上再增加载荷单位变化(如果该载荷是分布载荷,且该分布载荷是线分布载荷,载荷单位变化可以取1kN/m、2kN/m、3kN/m或1kNm/m、2kNm/m、3kNm/m等为单位变化;如果该载荷是分布载荷,且该分布载荷是是面分布载荷,载荷单位变化可以取1MPa、2MPa、3MPa或1kNm/m2、2kNm/m2、3kNm/m2等为单位变化;如果该载荷是集中载荷,且该集中载荷是力偶,载荷单位变化可以取1kNm、2kNm、3kNm等为单位变化;如果该载荷是集中载荷,且该集中载荷是集中力,载荷单位变化可以取1kN、2kN、3kN等为单位变化;如果该载荷是体积载荷,载荷单位变化可以取1kN/m3、2kN/m3、3kN/m3等为单位变化)。Step 8: According to the steps specified in the technical plan, on the basis of the current initial mechanical calculation benchmark model A i o , perform several mechanical calculations, and establish the numerical change matrix ΔC i of the monitored quantity of unit damage and the unit change vector of the evaluated object through calculation D i u . Specifically, if the evaluated object is a supporting cable in the cable system, then it is assumed that the supporting cable has unit damage on the basis of the existing damage of the supporting cable represented by the vector d i o (such as taking 5%, 10%, 20% or 30% damage is the unit damage), if the object to be evaluated is a load, it is assumed that the load will increase the load unit change on the basis of the existing change of the load represented by the vector d i o ( If the load is a distributed load, and the distributed load is a linear distributed load, the load unit can be changed in units of 1kN/m, 2kN/m, 3kN/m or 1kNm/m, 2kNm/m, 3kNm/m, etc.; if The load is a distributed load, and the distributed load is a surface distributed load, and the load unit can be changed in units of 1MPa, 2MPa, 3MPa or 1kNm/m 2 , 2kNm/m 2 , 3kNm/m 2 ; if the load is Concentrated load, and the concentrated load is a force couple, the load unit can be changed in units of 1kNm, 2kNm, 3kNm, etc.; if the load is a concentrated load, and the concentrated load is a concentrated force, the load unit can be changed in 1kN, 2kN, 3kN etc.; if the load is body load, the load unit change can take 1kN/m 3 , 2kN/m 3 , 3kN/m 3 etc. as the unit change).
第九步:建立线性关系误差向量ei和向量gi。利用前面的数据(“被监测量当前初始数值向量Ci o”、“单位损伤被监测量数值变化矩阵ΔCi”),在第八步进行每一次计算的同时,即在每一次计算假设被评估对象中只有一个被评估对象的增加单位损伤或载荷单位变化的同时,当假设第k(k=1,2,3,……,N)个被评估对象增加单位损伤或载荷单位变化时,每一次计算组成一个损伤向量,用di tk表示该损伤向量,对应的被监测量计算当前向量为Ci tk(参见第八步),损伤向量di tk的元素个数等于被评估对象的数量,向量di tk的所有元素中只有一个元素的数值取每一次计算中假设增加单位损伤或载荷单位变化的被评估对象的单位损伤或载荷单位变化值,di tk的其它元素的数值取0,那个不为0的元素的编号与假定增加单位损伤或载荷单位变化的被评估对象的对应关系、同其他向量的同编号的元素同该被评估对象的对应关系是相同的;di tk与被评估对象初始损伤向量do的元素编号规则相同,di tk的元素与do的元素是一一对应关系。将Ci tk、Ci o、ΔCi、di tk带入式(1),得到一个线性关系误差向量ei k,每一次计算得到一个线性关系误差向量ei k;ei k的下标k表示第k(k=1,2,3,……,N)个被评估对象增加单位损伤或载荷单位变化。有N个被评估对象就有N次计算,就有N个线性关系误差向量ei k,将这N个线性关系误差向量ei k相加后得到一个向量,将此向量的每一个元素除以N后得到的新向量就是最终的线性关系误差向量ei。向量gi等于最终的误差向量ei。将向量gi保存在运行健康监测系统软件的计算机硬盘上,供健康监测系统软件使用。Step 9: Establish linear relationship error vector e i and vector g i . Using the previous data ("the current initial value vector C i o of the monitored quantity", "the numerical change matrix of the monitored quantity per unit damage ΔC i "), each calculation is performed in the eighth step, that is, each calculation assumes that When only one of the assessed objects has increased unit damage or load unit change, when it is assumed that the kth (k=1,2,3,...,N)th assessed object has increased unit damage or load unit change, Each calculation forms a damage vector, which is represented by d i tk , and the current vector of the corresponding monitored quantity calculation is C i tk (see step 8), and the number of elements of the damage vector d i tk is equal to the value of the evaluated object Quantity, the value of only one element among all the elements of vector d i tk is the unit damage or load unit change value of the evaluated object assuming an increase in unit damage or load unit change in each calculation, and the values of other elements of d i tk are 0, the corresponding relationship between the number of the element that is not 0 and the evaluated object assuming the increase of unit damage or the change of the load unit, and the corresponding relationship between the elements with the same number of other vectors and the evaluated object are the same; d i tk The element numbering rule is the same as the element numbering rule of the initial damage vector d o of the evaluated object, and the elements of d i tk are in one-to-one correspondence with the elements of d o . Bring C i tk , C i o , ΔC i , d i tk into formula (1), and obtain a linear relationship error vector e i k , and each calculation obtains a linear relationship error vector e i k ; the next step of e i k The mark k indicates that the kth (k=1,2,3,...,N) evaluated object increases unit damage or load unit change. If there are N evaluated objects, there will be N calculations, and there will be N linear relationship error vectors e i k , and the N linear relationship error vectors e i k will be added to obtain a vector, and each element of this vector will be divided by The new vector obtained after N is the final linear relationship error vector e i . The vector g i is equal to the final error vector e i . Save the vector g i on the computer hard disk running the health monitoring system software for use by the health monitoring system software.
第十步:定义当前名义损伤向量di c和当前实际损伤向量di,di c和di的元素个数等于被评估对象的数量,di c和di的元素和被评估对象之间是一一对应关系,di c和di的元素数值代表对应被评估对象的损伤程度或载荷变化程度,di c和di与被评估对象初始损伤向量do的元素编号规则相同,di c的元素、di的元素与do的元素是一一对应关系。Step 10: Define the current nominal damage vector d i c and the current actual damage vector d i , the number of elements of d i c and d i is equal to the number of evaluated objects, and the number of elements of d i c and d i is equal to the number of evaluated objects There is a one-to-one correspondence between d i c and d i , the element values of d i c and d i represent the damage degree or load change degree of the corresponding evaluated object, d i c and d i are the same as the element numbering rules of the initial damage vector d o of the evaluated object, The elements of d i c , the elements of d i and the elements of d o are in one-to-one correspondence.
第十一步:依据被监测量当前数值向量Ci同“被监测量当前初始数值向量Ci o”、“单位损伤被监测量数值变化矩阵ΔCi”和“当前名义损伤向量di c”间存在的近似线性关系,该近似线性关系可表达为式(2),按照多目标优化算法计算当前名义损伤向量di c的非劣解,也就是带有合理误差、但可以比较准确地从所有索中确定受损索的位置及其名义损伤程度的解。Step 11: According to the current numerical vector C i of the monitored quantity, the "current initial numerical vector C i o of the monitored quantity", "the numerical change matrix of the monitored quantity with unit damage ΔC i ", and "the current nominal damage vector d i c " The approximate linear relationship exists between , the approximate linear relationship can be expressed as formula (2), and the non-inferior solution of the current nominal damage vector d i c is calculated according to the multi-objective optimization algorithm, that is, there is a reasonable error, but it can be obtained from A solution that determines the location of damaged cables and their nominal damage levels in all cables.
可以采用多目标优化算法中的目标规划法(GoalAttainmentMethod)求解式(2)得到当前名义损伤向量di c。The current nominal damage vector d i c can be obtained by solving Equation (2) by using the Goal Attainment Method in the multi-objective optimization algorithm.
第十二步:依据索系统当前实际损伤向量di的定义和其元素的定义计算得到当前实际损伤向量di的每一个元素,从而可由di确定被评估对象的健康状态。当前实际损伤向量di的第k个元素di k表示第i次循环中第k个被评估对象的当前实际健康状态。Step 12: Calculate each element of the current actual damage vector d i according to the definition of the current actual damage vector d i of the cable system and the definition of its elements, so that the health status of the evaluated object can be determined by d i . The k-th element d i k of the current actual damage vector d i represents the current actual health status of the k-th evaluated object in the i-th cycle.
di k表示第i次循环中第k个被评估对象的当前实际健康状态,如果该被评估对象是索系统中的一根支承索,那么di k表示其当前实际损伤,di k为0时表示其对应的支承索无健康问题,di k数值不为0时表示其对应的支承索是有健康问题的支承索,有健康问题的支承索可能是松弛索、也可能是受损索,其数值反应了松弛或损伤的程度。d i k represents the current actual health status of the kth evaluated object in the i-th cycle, if the evaluated object is a supporting cable in the cable system, then d i k represents its current actual damage, d i k is When 0, it means that the corresponding supporting cable has no health problems. When the d i k value is not 0, it means that the corresponding supporting cable has health problems. The supporting cables with health problems may be loose or damaged. cable, whose value reflects the degree of laxity or damage.
将被评估对象当前实际损伤向量di中与支承索相关的Q个元素取出,组成支承索当前实际损伤向量dci,支承索当前实际损伤向量dci的元素的编号规则与初始索力向量Fo的元素的编号规则相同。支承索当前实际损伤向量dci的第h个元素表示索结构中第h根支承索的当前实际损伤量,h=1,2,3,…….,Q;支承索当前实际损伤向量dci中数值不为0的元素对应于有健康问题的支承索,通过无损检测方法从这些有健康问题的支承索中鉴别出受损索,剩下的就是松弛索,就是需调整索力的索,这些需调整索力的索在支承索当前实际损伤向量dci中所对应的元素数值(例如其中一个元素可用dci h表示)表示与这些支承索的松弛程度力学等效的损伤程度,由此就确定了松弛索。与受损索对应的支承索当前实际损伤向量dci中的元素的数值表达的是该受损索的当前实际损伤,元素数值为100%时表示该支承索彻底丧失承载能力,介于0与100%之间时表示丧失相应比例的承载能力。Take out the Q elements related to the supporting cable from the current actual damage vector d i of the evaluated object to form the current actual damage vector d ci of the supporting cable, and the numbering rules of the elements of the current actual damage vector d ci of the supporting cable are the same as the initial cable force vector F The numbering rules for the elements of o are the same. The hth element of the current actual damage vector d ci of the support cable represents the current actual damage amount of the h-th support cable in the cable structure, h=1,2,3,...,Q; the current actual damage vector d ci of the support cable The elements whose values are not 0 correspond to the supporting cables with health problems, and the damaged cables are identified from these supporting cables with health problems by non-destructive testing methods, and the rest are slack cables, which are the cables whose force needs to be adjusted. The values of the elements corresponding to the current actual damage vector d ci of the cables whose forces need to be adjusted (for example, one of the elements can be represented by d ci h ) represent the mechanically equivalent damage degrees to the slack of these support cables, thus The slackline is identified. The value of the element in the current actual damage vector d ci of the supporting cable corresponding to the damaged cable expresses the current actual damage of the damaged cable. When the value of the element is 100%, it means that the supporting cable completely loses its bearing capacity, between 0 and Between 100% means that the corresponding proportion of bearing capacity is lost.
计入温度变化对支承索物理、力学和几何参数的影响,通过将松弛索同受损索进行力学等效来计算松弛索的、与当前实际等效损伤程度等效的松弛程度,具体地可以依据式(3)求得这些索的松弛程度(即索长调整量)。这样就实现了支承索的松弛识别。至此便全部识别了受损索和松弛索。Taking into account the influence of temperature changes on the physical, mechanical and geometric parameters of the supporting cable, the relaxation degree of the slack cable, which is equivalent to the current actual equivalent damage degree, can be calculated by mechanically equivalenting the slack cable to the damaged cable. Specifically, it can be The degree of relaxation of these cables (that is, the adjustment amount of the cable length) is obtained according to formula (3). This enables slack detection of the support cables. Damaged and slack cables have all been identified so far.
式(3)中Ei h是在索结构的稳态温度数据用当前初始索结构稳态温度数据向量Ti o表示时,第h根支承索的弹性模量,Ai h是在索结构的稳态温度数据用当前初始索结构稳态温度数据向量Ti o表示时,第h根支承索的横截面面积,Fi h是在索结构的稳态温度数据用当前初始索结构稳态温度数据向量Ti o表示时,第h根支承索的当前索力,dci h是第h根支承索的当前实际损伤程度,ωi h是在索结构的稳态温度数据用当前初始索结构稳态温度数据向量Ti o表示时,第h根支承索的单位长度的重量,li xh是在索结构的稳态温度数据用当前初始索结构稳态温度数据向量Ti o表示时,第h根支承索的两个支承端点的水平距离,li xh是当前支承索两支承端点水平距离向量li x的一个元素,当前支承索两支承端点水平距离向量li x的元素的编号规则与初始自由长度向量lo的元素的编号规则相同,Ei h可以根据查或实测第h根支承索的材料特性数据得到,Ai h和ωi h可以根据第h根支承索的热膨胀系数、Aoh、ωoh、Fi h、To和Ti o通过常规物理和力学计算得到。In formula (3), E i h is the elastic modulus of the hth supporting cable when the steady-state temperature data of the cable structure is represented by the current initial cable structure steady-state temperature data vector T i o , A i h is the elastic modulus of the cable structure When the steady-state temperature data of the current initial cable structure steady-state temperature data vector T i o is represented, the cross-sectional area of the hth supporting cable, F i h is the steady-state temperature data of the cable structure and the current initial cable structure steady-state When the temperature data vector T i o represents the current cable force of the h-th supporting cable, d ci h is the current actual damage degree of the h-th supporting cable, ω i h is the steady-state temperature data of the cable structure using the current initial cable When the structural steady-state temperature data vector T i o represents the weight per unit length of the hth supporting cable, l i xh is when the steady-state temperature data of the cable structure is represented by the current initial cable structure steady-state temperature data vector T i o , the horizontal distance between the two supporting endpoints of the h-th supporting cable, l i xh is an element of the horizontal distance vector l i x between the two supporting endpoints of the current supporting cable, and the element of the horizontal distance vector l i x between the two supporting endpoints of the current supporting cable The numbering rules are the same as the numbering rules of the elements of the initial free length vector l o , E i h can be obtained according to the material property data of the h-th support cable, A i h and ω i h can be obtained according to the h-th support cable The coefficients of thermal expansion, A oh , ω oh , F i h , T o and T i o are calculated by conventional physics and mechanics.
第十三步:健康监测系统中的计算机定期自动或由人员操作健康监测系统生成索系统健康情况报表。Step 13: The computer in the health monitoring system generates reports on the health status of the cable system automatically or by personnel operating the health monitoring system on a regular basis.
第十四步:在指定条件下,健康监测系统中的计算机自动操作通信报警设备向监控人员、业主和(或)指定的人员报警。Step 14: Under the specified conditions, the computer in the health monitoring system automatically operates the communication alarm equipment to alarm the monitoring personnel, the owner and (or) the designated personnel.
第十五步:建立标识向量Bi,如果标识向量Bi的元素全为0,则回到第六步继续进行对索系统的健康监测和计算;如果标识向量Bi的元素不全为0,则完成后续步骤后,进入下一次循环。Step 15: Establish the identification vector B i , if the elements of the identification vector B i are all 0, go back to the sixth step to continue the health monitoring and calculation of the cable system; if the elements of the identification vector B i are not all 0, After completing the subsequent steps, enter the next cycle.
第十六步:计算得到下一次(即第i+1次,i=1,2,3,4,…)循环所需的初始损伤向量di+1 o的每一个元素di+1 ok(k=1,2,3,……,N);第二,在初始力学计算基准模型Ao的基础上,先对Ao中的索结构支座施加支座广义位移约束,支座广义位移约束的数值就取自支座广义位移向量V中对应元素的数值,再对Ao中的索结构施加温度变化,施加的温度变化的数值就取自稳态温度变化向量S,再令索的健康状况为di+1 o后得到的就是下一次、即第i+1次(i=1,2,3,4,…)循环所需的力学计算基准模型Ai+1;下一次(即第i+1次,i=1,2,3,4,…)循环所需的当前初始索结构稳态温度数据向量Ti+1 o等于Ti o,下一次(即第i+1次,i=1,2,3,4,…)循环所需的当前初始索结构支座广义坐标向量Ui+1 o等于Ui o。得到Ai+1、di+1 o、Ui+1 o和Ti+1 o后,通过力学计算得到Ai+1中所有被监测量的、当前的具体数值,这些具体数值组成下一次、即第i+1次循环所需的被监测量当前初始数值向量Ci+1 o。Step 16: Calculate each element d i +1 o of the initial damage vector d i+1 o required for the next (i+ 1th , i=1,2,3,4,…) cycle (k=1,2,3,……,N); Second, on the basis of the initial mechanical calculation benchmark model A o , the support generalized displacement constraint is imposed on the cable structure support in A o , the support generalized The value of the displacement constraint is obtained from the value of the corresponding element in the generalized displacement vector V of the support, and then the temperature change is applied to the cable structure in A o , and the value of the temperature change is obtained from the steady-state temperature change vector S, and then the cable The health status of d i+1 o is the mechanical calculation benchmark model A i+1 required for the next cycle, that is, the i+1th (i=1,2,3,4,...) cycle; the next time (i.e. the i+1th time, i=1,2,3,4,...) The current initial cable structure steady-state temperature data vector T i+1 o required for the cycle is equal to T i o , the next time (i.e. the i+th 1 time, i=1, 2, 3, 4,...) The current initial cable structure support generalized coordinate vector U i+1 o required by the cycle is equal to U i o . After obtaining A i+1 , d i+1 o , U i+1 o and T i+1 o , the current specific values of all the monitored quantities in A i+1 are obtained through mechanical calculations, and these specific values are composed of the following The current initial value vector C i+1 o of the monitored quantity required for one cycle, that is, the i+1th cycle.
第十七步:回到第六步,开始由第六步到第十七步的循环。Step 17: Go back to Step 6 and start the cycle from Step 6 to Step 17.
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CN103852317A (en) * | 2014-03-10 | 2014-06-11 | 东南大学 | Angular displacement mixed-monitoring load progressive identification method for problematic cable |
CN103852331A (en) * | 2014-03-10 | 2014-06-11 | 东南大学 | Progressive recognition method for problem cable load generalized displacement based on mixing monitoring |
CN103913325A (en) * | 2014-03-10 | 2014-07-09 | 东南大学 | Generalized displacement hybrid monitoring defective cable load progressive identification method |
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CN103852317A (en) * | 2014-03-10 | 2014-06-11 | 东南大学 | Angular displacement mixed-monitoring load progressive identification method for problematic cable |
CN103852331A (en) * | 2014-03-10 | 2014-06-11 | 东南大学 | Progressive recognition method for problem cable load generalized displacement based on mixing monitoring |
CN103913325A (en) * | 2014-03-10 | 2014-07-09 | 东南大学 | Generalized displacement hybrid monitoring defective cable load progressive identification method |
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