CN111445165A - An online classification and early warning evaluation method for tunnel structure health monitoring - Google Patents
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Abstract
本发明公开了一种隧道结构健康监测在线分级预警评价方法,其利用自动化监测的高频率数据,通过信息化系统实现隧道结构安全的实时评价和分级预警,为隧道结构安全状况的及时知晓、预防性养护和大中修提供决策建议。本发明结合隧道结构健康的智能监测技术,实现了多传感器、多指标、多层次数据融合基础上的在线分级预警,明显降低了虚警或漏警的可能性;将本发明方法开发成一套便于操作、交互性佳的软件系统,可实现在线实时评价和预警,提高隧道健康监测系统的分析响应效率和智能化程度,减少人工工作量,为隧道的后期运营降低成本。因此,本发明是一种可行性高、编程简单且可以实时更新的评价方法,能够保证隧道后期的健康运营状况。
The invention discloses an online graded early-warning evaluation method for tunnel structure health monitoring, which utilizes high-frequency data of automatic monitoring and realizes real-time evaluation and graded early-warning of tunnel structure safety through an information system, so as to timely know and prevent the safety status of tunnel structures. Provide decision-making advice for sexual maintenance and major and medium repairs. The invention combines the intelligent monitoring technology of the health of the tunnel structure, realizes the online graded early warning based on multi-sensor, multi-index and multi-level data fusion, and obviously reduces the possibility of false alarms or missed alarms; the method of the invention is developed into a set of convenient The software system with good operation and interaction can realize online real-time evaluation and early warning, improve the analysis and response efficiency and intelligence of the tunnel health monitoring system, reduce the manual workload, and reduce the cost for the later operation of the tunnel. Therefore, the present invention is an evaluation method with high feasibility, simple programming and real-time updating, which can ensure the healthy operation of the tunnel in the later stage.
Description
技术领域technical field
本发明属于隧道结构安全监测工程技术领域,具体涉及一种隧道结构健康监测在线分级预警评价方法。The invention belongs to the technical field of tunnel structure safety monitoring engineering, and in particular relates to an online graded early warning evaluation method for tunnel structure health monitoring.
背景技术Background technique
隧道结构健康监测是指通过在隧道关键位置安装传感器,对运营期内隧道结构各种力学响应进行长期在线监测,实现对隧道结构健康状况的实时评价和预警,为隧道的安全运维管养工作提供指导。如何借助结构健康监测系统采集的大量监测数据来实现隧道结构健康状况实时评价和智能化自动预警,是亟需解决的关键性问题,目前相关研究仍很欠缺,且国内外尚无相应的标准规范。Tunnel structure health monitoring refers to the long-term online monitoring of various mechanical responses of the tunnel structure during the operation period by installing sensors at key positions of the tunnel, so as to realize real-time evaluation and early warning of the health status of the tunnel structure, and to ensure the safe operation and maintenance of the tunnel. Provide guidance. How to realize real-time evaluation and intelligent automatic warning of tunnel structural health status with the help of a large amount of monitoring data collected by the structural health monitoring system is a key problem that needs to be solved urgently. At present, relevant research is still lacking, and there is no corresponding standard at home and abroad. .
现有隧道健康监测系统常常采用单支传感器或单一评价指标进行评价和预警,由于传感器自身稳定性、外界环境干扰等因素,难免会出现虚警或漏警。鉴于采用单一指标进行预警具有很大局限性,为了有效解决该问题,需实现多指标数据融合基础上的实时综合评价和预警。Existing tunnel health monitoring systems often use a single sensor or a single evaluation index for evaluation and early warning. Due to factors such as the sensor's own stability and external environmental interference, false alarms or missed alarms will inevitably occur. In view of the great limitations of using a single indicator for early warning, in order to effectively solve this problem, it is necessary to realize real-time comprehensive evaluation and early warning based on multi-indicator data fusion.
多指标数据融合基础上的隧道结构健康状况实时综合评价和预警,已有的研究中主要包括功效系数法《李明,陈卫忠,杨建平等.基于功效系数法的隧道结构健康监测系统预警研究[J].岩土力学,2015,36(S2):729-736》、距离判别法《李长俊,陈卫忠,李明等.加权距离判别分析法在隧道健康监测系统预警中的应用[J].中外公路,2019,39(06):162-168》等。功效系数法、距离判别法都是将多种监测指标的多支传感器的数据强制赋予功效系数或强制进行归一化处理,形式上可实现任意多支传感器的数据融合,但不足之处非常明显,它无法对各种不同监测指标的传感器进行分类处理,强行将各种结构响应混为一谈,无法体现隧道结构健康状况的主要影响因素,也无法从内力、变形、耐久性等不同维度深入评价隧道结构健康状况。Real-time comprehensive evaluation and early warning of tunnel structure health status based on multi-index data fusion. The existing research mainly includes efficacy coefficient method "Li Ming, Chen Weizhong, Yang Jianping. Early warning research on tunnel structure health monitoring system based on efficacy coefficient method [ J].Geotechnical Mechanics, 2015,36(S2):729-736, Distance Discriminant Method "Li Changjun, Chen Weizhong, Li Ming, etc. Application of Weighted Distance Discriminant Analysis Method in Tunnel Health Monitoring System Early Warning[J]. Highway, 2019, 39(06):162-168” et al. Both the efficacy coefficient method and the distance discrimination method force the data of multiple sensors with various monitoring indicators to be assigned to the efficacy coefficient or forcibly normalized, which can realize the data fusion of any number of sensors in form, but the shortcomings are very obvious. , it cannot classify the sensors of various monitoring indicators, forcibly confuse various structural responses, cannot reflect the main factors affecting the health of the tunnel structure, and cannot evaluate the tunnel structure in depth from different dimensions such as internal force, deformation, and durability. Health status.
有鉴于此,有必要提出新的实时评价和预警方法:既能克服单支传感器或单一评价指标预警易出现虚警或漏警的问题,又能克服功效系数法、距离判别法等现有在线实时综合评价和与预警方法中数据强制融合、主次不分、无法深入评价的缺陷。In view of this, it is necessary to propose a new real-time evaluation and early warning method: it can not only overcome the problem of false alarms or missed alarms in early warning of a single sensor or a single evaluation index, but also overcome the existing online methods such as the efficacy coefficient method and the distance discrimination method. The defects of real-time comprehensive evaluation and data forced integration with early warning methods, no distinction between primary and secondary, and inability to evaluate in depth.
发明内容SUMMARY OF THE INVENTION
鉴于上述问题,本发明提供了一种隧道结构健康监测在线分级预警评价方法,其利用自动化监测的高频率数据,通过信息化系统实现“单支传感器→单一评价指标→多个评价指标→…→整个断面/整个区段”的多指标、多层次、多维度的实时评价和分级预警,并通过合理权重和隶属度函数的选取能较好体现各种不同因素对隧道结构健康状况影响程度大小,真正实现多指标多传感器大量监测数据的科学有机融合分析,为隧道结构安全状况的及时知晓、预防性养护和大中修提供科学合理的决策建议。In view of the above problems, the present invention provides an online graded early-warning evaluation method for tunnel structure health monitoring, which utilizes the high-frequency data of automatic monitoring and realizes "single sensor→single evaluation index→multiple evaluation indexes→...→ The multi-index, multi-level and multi-dimensional real-time evaluation and graded early warning of the entire section/entire section, and the selection of reasonable weights and membership functions can better reflect the impact of various factors on the health of the tunnel structure. It truly realizes the scientific and organic fusion analysis of a large amount of monitoring data of multiple indicators and multiple sensors, and provides scientific and reasonable decision-making suggestions for timely knowledge of the safety status of the tunnel structure, preventive maintenance and major and medium repairs.
一种隧道结构健康监测在线分级预警评价方法,包括如下步骤:An online graded early-warning evaluation method for tunnel structure health monitoring, comprising the following steps:
(1)确定盾构隧道结构健康状况评价指标体系,并根据实际情况将所述体系划分为多个层次;(1) Determine the health evaluation index system of shield tunnel structure, and divide the system into multiple levels according to the actual situation;
(2)确定所述体系最底层评价指标的预警区间及预警等级;(2) Determine the early warning interval and early warning level of the bottom evaluation index of the system;
(3)建立各个层次评价指标的预警等级模糊关系方程;(3) Establish the early warning level fuzzy relation equation of each level of evaluation index;
(4)确定各个层次各评价指标的权重;(4) Determine the weight of each evaluation index at each level;
(5)根据上述预警等级模糊关系方程以及各评价指标的权重,从最底层开始逐层往上计算每个评价指标对于各预警等级的隶属程度,直至计算得到盾构隧道结构健康状况对于各预警等级的隶属程度,取隶属程度最高的预警等级作为隧道结构安全评价的决策建议并在线实时预警。(5) According to the above-mentioned fuzzy relationship equation of early warning level and the weight of each evaluation index, calculate the membership degree of each evaluation index for each early warning level from the bottom layer to the top, until the calculation of the health status of shield tunnel structure for each early warning is obtained. The degree of membership of the grade, the warning level with the highest degree of membership is taken as the decision-making suggestion for the safety evaluation of the tunnel structure and the online real-time warning.
进一步地,所述步骤(1)在确定盾构隧道结构健康状况评价指标体系后,对该评价指标体系进行第一层次的划分,即将盾构隧道结构健康状况分成若干个评价指标来表征;进而再对该评价指标体系进行第二层次的划分,即将第一层次的评价指标进一步分成若干个细类的评价指标,依此类推,直至将该评价指标体系划分成多个层次。Further, in the step (1), after determining the evaluation index system of the structural health of the shield tunnel, the evaluation index system is divided into a first level, that is, the structural health of the shield tunnel is divided into several evaluation indexes to represent; and then The evaluation index system is then divided into a second level, that is, the evaluation index of the first level is further divided into several sub-categories of evaluation indexes, and so on, until the evaluation index system is divided into multiple levels.
进一步地,所述步骤(2)中的预警等级分为绿、蓝、橙、红四个等级,四个等级分别对应四组预警区间,四组预警区间根据已有的工程规范结合实际的工程状况确定,其中绿色区间代表相应评价指标处于安全范围;蓝色区间代表相应评价指标偏大,需引起注意;橙色区间代表相应评价指标较大,已不容忽视,需密切关注;红色区间代表相应评价指标已达到极限,必须组织相关专家进行现场调研和处理。Further, the early warning levels in the step (2) are divided into four levels: green, blue, orange, and red, and the four levels correspond to four groups of early warning intervals respectively, and the four groups of early warning intervals are combined with actual engineering according to existing engineering specifications. The status is determined, in which the green interval represents that the corresponding evaluation index is in the safe range; the blue interval represents that the corresponding evaluation index is too large and needs attention; the orange interval represents that the corresponding evaluation index is too large and cannot be ignored and needs to be paid close attention; the red interval represents the corresponding evaluation The indicators have reached the limit, and relevant experts must be organized to conduct on-site investigation and processing.
进一步地,所述步骤(3)中对于当前层次的任一评价指标X,若该评价指标X被细分为n个评价指标,则该层次评价指标X的预警等级模糊关系方程表达式如下:Further, for any evaluation index X of the current level in the step (3), if the evaluation index X is subdivided into n evaluation indexes, then the early warning level fuzzy relation equation expression of the evaluation index X of this level is as follows:
其中:ai表示评价指标X被细分成n个评价指标中第i个评价指标的权重,li1~li4分别为第i个评价指标对于绿、蓝、橙、红四个等级的隶属程度,b1~b4分别为评价指标X对于绿、蓝、橙、红四个等级的隶属程度,i为自然数且1≤i≤n。Among them: a i indicates that the evaluation index X is subdivided into the weight of the i-th evaluation index among the n evaluation indicators, and l i1 to l i4 are the membership of the i-th evaluation index to the four levels of green, blue, orange, and red, respectively. degree, b 1 to b 4 are the degrees of membership of the evaluation index X to the four grades of green, blue, orange, and red, respectively, i is a natural number and 1≤i≤n.
进一步地,所述步骤(4)中采用三标度法或九标度法确定各个层次各评价指标的权重。Further, in the step (4), the three-scale method or the nine-scale method is used to determine the weight of each evaluation index at each level.
进一步地,所述步骤(5)中从最底层开始逐层往上计算每个评价指标对于各预警等级的隶属程度,需先通过传感器实时采集最底层各评价指标的监测值;对于最底层的任一评价指标,若该评价指标当前的监测值为x,则通过以下标准确定其对于各预警等级的隶属程度:Further, in the step (5), the membership degree of each evaluation index for each early warning level is calculated layer by layer from the bottom layer, and the monitoring value of each evaluation index at the bottom layer needs to be collected in real time through sensors; For any evaluation index, if the current monitoring value of the evaluation index is x, its membership degree to each early warning level is determined by the following criteria:
若预警等级对应的预警区间为[0,c1],则该最底层评价指标对于该预警等级的隶属程度f(x)为:If the warning interval corresponding to the warning level is [0, c 1 ], the membership degree f(x) of the lowest evaluation index to the warning level is:
若预警等级对应的预警区间为[c1,c2]且c1c2<0,则该最底层评价指标对于该预警等级的隶属程度f(x)为:If the warning interval corresponding to the warning level is [c 1 , c 2 ] and c 1 c 2 <0, the membership degree f(x) of the lowest evaluation index to the warning level is:
若预警等级对应的预警区间为[c1,c2]且c1c2>0,则该最底层评价指标对于该预警等级的隶属程度f(x)为:If the warning interval corresponding to the warning level is [c 1 , c 2 ] and c 1 c 2 > 0, the membership degree f(x) of the lowest evaluation index to the warning level is:
若预警等级对应的预警区间为[c1,c2]&[c3,c4]且c3<c4<0<c1<c2,则该最底层评价指标对于该预警等级的隶属程度f(x)为:If the warning interval corresponding to the warning level is [c 1 ,c 2 ]&[c 3 ,c 4 ] and c 3 <c 4 <0<c 1 <c 2 , then the lowest-level evaluation index belongs to the warning level The degree f(x) is:
若预警等级对应的预警区间为[c1,+∞),则该最底层评价指标对于该预警等级的隶属程度f(x)为:If the warning interval corresponding to the warning level is [c 1 ,+∞), the membership degree f(x) of the lowest evaluation index to the warning level is:
若预警等级对应的预警区间为(-∞,c1]&[c2,+∞)且c1c2<0,则该最底层评价指标对于该预警等级的隶属程度f(x)为:If the warning interval corresponding to the warning level is (-∞,c 1 ]&[c 2 ,+∞) and c 1 c 2 <0, then the membership degree f(x) of the lowest evaluation index to the warning level is:
其中:c1、c2、c3、c4均为预警区间的阈值,F()为布尔函数,即当()内的关系式满足则函数值为1,否则函数值为0。Among them: c 1 , c 2 , c 3 , and c 4 are the thresholds of the warning interval, and F() is a Boolean function, that is, when the relational expression in ( ) is satisfied, the function value is 1, otherwise the function value is 0.
进一步地,当某一最底层评价指标由多支传感器采集监测值时,则该评价指标对于各预警等级的隶属程度f(x)为:Further, when the monitoring value of a bottom evaluation index is collected by multiple sensors, the degree of membership f(x) of the evaluation index to each early warning level is:
其中:m为传感器数量,x1,x2,…,xm分别为这m个传感器所采集到的监测值。Among them: m is the number of sensors, x 1 , x 2 ,..., x m are the monitoring values collected by the m sensors, respectively.
本发明结合隧道结构健康的智能监测技术,实现了多传感器、多指标、多层次数据融合基础上的在线分级预警,明显降低了虚警或漏警的可能性。将本发明方法开发成一套便于操作、交互性佳的软件系统,可实现在线实时评价和预警,提高隧道健康监测系统的分析响应效率和智能化程度,减少人工工作量,为隧道的后期运营降低成本。因此,本发明是一种可行性高、编程简单、计算量小且可以实时更新的评价方法,能够保证隧道后期的健康运营状况。Combined with the intelligent monitoring technology of tunnel structure health, the invention realizes on-line graded early warning based on multi-sensor, multi-index and multi-level data fusion, and obviously reduces the possibility of false alarms or missed alarms. The method of the invention is developed into a set of software system that is easy to operate and has good interactivity, which can realize online real-time evaluation and early warning, improve the analysis and response efficiency and intelligent degree of the tunnel health monitoring system, reduce the manual workload, and reduce the operation of the tunnel in the later stage. cost. Therefore, the present invention is an evaluation method with high feasibility, simple programming, small calculation amount and real-time updating, which can ensure the healthy operation of the tunnel in the later stage.
附图说明Description of drawings
图1为本发明隧道结构健康状况评价指标体系的层次模型树示意图。FIG. 1 is a schematic diagram of a hierarchical model tree of the tunnel structure health condition evaluation index system of the present invention.
图2(a)为预警区间[0,x1]对应的隶属度函数示意图。Figure 2(a) is a schematic diagram of the membership function corresponding to the warning interval [0, x 1 ].
图2(b)为预警区间[x1,x2](x1x2<0)对应的隶属度函数示意图。Figure 2(b) is a schematic diagram of the membership function corresponding to the warning interval [x 1 , x 2 ] (x 1 x 2 <0).
图2(c)为预警区间[x1,x2](x1x2>0)对应的隶属度函数示意图。Figure 2(c) is a schematic diagram of the membership function corresponding to the warning interval [x 1 , x 2 ] (x 1 x 2 >0).
图2(d)为预警区间[x1,x2]&[x3,x4]对应的隶属度函数示意图。Figure 2(d) is a schematic diagram of the membership function corresponding to the warning interval [x 1 , x 2 ]&[x 3 , x 4 ].
图2(e)为预警区间[x1,+∞)对应的隶属度函数示意图。Figure 2(e) is a schematic diagram of the membership function corresponding to the warning interval [x 1 , +∞).
图2(f)为预警区间(-∞,x1]&[x2,+∞)对应的隶属度函数示意图。Figure 2(f) is a schematic diagram of the membership function corresponding to the warning interval (-∞, x 1 ]&[x 2 , +∞).
图3(a)为断面A埋入式传感器的布置示意图。Figure 3(a) is a schematic diagram of the layout of the embedded sensor in section A.
图3(b)为断面A表面式传感器的布置示意图。Figure 3(b) is a schematic diagram of the layout of the surface sensor in section A.
图3(c)为隧道监测段静力水准仪监测点的布置示意图。Figure 3(c) is a schematic diagram of the layout of the monitoring points of the static level in the monitoring section of the tunnel.
图4(a)为接缝张开度监测数据示意图。Figure 4(a) is a schematic diagram of the monitoring data of the seam opening.
图4(b)为拱顶变形监测数据示意图。Figure 4(b) is a schematic diagram of the vault deformation monitoring data.
图4(c)为管片倾斜偏转监测数据示意图。Figure 4(c) is a schematic diagram of monitoring data of segment tilt deflection.
图4(d)为纵向相对不均匀沉降监测数据示意图。Figure 4(d) is a schematic diagram of the monitoring data of longitudinal relative uneven settlement.
图4(e)为混凝土应变监测数据示意图。Figure 4(e) is a schematic diagram of the concrete strain monitoring data.
图4(f)为钢筋内力监测数据示意图。Figure 4(f) is a schematic diagram of the monitoring data of the internal force of the steel bar.
图4(g)为车道板底面应变监测数据示意图。Figure 4(g) is a schematic diagram of the strain monitoring data on the bottom surface of the lane slab.
图5为本发明实施例中隧道结构健康状况评价指标体系层次模型树示意图。FIG. 5 is a schematic diagram of a hierarchical model tree of a tunnel structure health evaluation index system according to an embodiment of the present invention.
图6为本发明实施例中某一时刻分级预警结果示意图。FIG. 6 is a schematic diagram of a graded early warning result at a certain moment in an embodiment of the present invention.
图7为断面A结构一段时期内整体安全性实时评价结果示意图。Figure 7 is a schematic diagram of the real-time evaluation results of the overall safety of the structure of section A within a period of time.
具体实施方式Detailed ways
为了更为具体地描述本发明,下面结合附图及具体实施方式对本发明的技术方案进行详细说明。In order to describe the present invention more specifically, the technical solutions of the present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
本发明隧道结构健康监测在线分级预警评价方法,包括以下步骤:The online grading early warning evaluation method for tunnel structure health monitoring of the present invention includes the following steps:
步骤1:确定盾构隧道结构健康状况评价指标体系,并根据实际情况将各指标分类并划分为多个层次。Step 1: Determine the index system for evaluating the structural health of the shield tunnel, and classify and divide each index into multiple levels according to the actual situation.
如图1所示,确定盾构隧道结构健康状况评价指标体系,先将盾构隧道结构健康状况评价指标体系进行第一层次的划分,将其分为a、b、...、n指标,再将盾构隧道结构健康状况评价指标体系进行第二层次的划分,将第一层次所有指标分别划分为a1、a2、...、ar,b1、b2、...、bs,......,n1、n2、...、nt,依此类推,直至将盾构隧道结构健康状况评价指标体系划分至S个层次。As shown in Figure 1, to determine the evaluation index system of shield tunnel structure health status, first divide the shield tunnel structure health status evaluation index system into the first level, and divide it into a, b, ..., n indicators, Then, the second level is divided into the evaluation index system of shield tunnel structure health status, and all indexes of the first level are divided into a 1 , a 2 , ..., a r , b 1 , b 2 , ..., b s , ..., n 1 , n 2 , ..., nt , and so on, until the index system for evaluating the structural health of the shield tunnel is divided into S levels.
步骤2:确定最底层评价指标的预警区间及预警等级。Step 2: Determine the warning interval and warning level of the bottom evaluation index.
2.1将预警等级划分绿、蓝、橙、红四个区间,规定结构内力变形不超过蓝色预警值时为绿色区间,超过蓝色预警值而不超过橙色预警值为蓝色区间,超过橙色预警值而不超过红色预警值为橙色区间,超过红色预警值为红色区间。绿色区间代表结构内力变形处于安全范围;蓝色区间代表结构内力变形较大,需引起注意;橙色区间代表结构内、力变形已不容忽视,需密切关注;红色区间代表结构内力变形已达到结构承载力极限或结构使用极限,必须组织相关专家进行现场调研和处理。2.1 The warning level is divided into four intervals: green, blue, orange and red. It is stipulated that when the internal force deformation of the structure does not exceed the blue warning value, it is the green interval, and the blue warning value exceeds the orange warning value. The blue warning value is blue, and the orange warning value exceeds the orange warning value. The value does not exceed the red warning value for the orange interval, and the red warning value exceeds the red interval. The green interval represents that the internal force deformation of the structure is in the safe range; the blue interval represents that the internal force deformation of the structure is large and needs attention; the orange interval represents that the internal force deformation of the structure cannot be ignored and needs to be paid close attention; the red interval represents that the internal force deformation of the structure has reached the bearing capacity of the structure If the force limit or the structural service limit is exceeded, relevant experts must be organized to conduct on-site investigation and processing.
2.2在参考已有的相关规范或相关研究的基础上,先确定蓝色预警值或红色预警值的具体数值,再根据情况规定各级预警值之间的比例关系,可规定蓝色预警值为红色预警值的a%,橙色预警值为红色预警值的b%(其中0<a<b<100)。2.2 On the basis of referring to the existing relevant norms or related research, first determine the specific value of the blue early warning value or the red early warning value, and then specify the proportional relationship between the early warning values at all levels according to the situation, and the blue early warning value can be specified. a% of the red early warning value, and the orange early warning value is b% of the red early warning value (where 0<a<b<100).
步骤3:建立确定各层次评价指标预警等级的模糊关系方程组。Step 3: Establish a fuzzy relational equation system to determine the early warning level of each level of evaluation index.
将所有下层指标对各预警等级的隶属度通过模糊关系方程:The membership degrees of all lower-level indicators to each early warning level are passed through the fuzzy relation equation:
计算转化为其上一层指标对各预警等级的隶属度,层层向上,最终得到隧道整体结构健康状况对各预警等级的隶属度。其中ai为相应因素的归一化权重,lij、bij为第i个因素对第j级预警等级的隶属程度,*为模糊算子(本发明采用最常用的加权平均算子),l1j与b1对应绿色预警等级,l2j与b2对应蓝色预警等级,l3j与b3对应橙色预警等级,l4j与b4对应红色预警等级。The calculation is transformed into the membership degree of the index of the previous layer to each early warning level, and the level is upward, and finally the membership degree of the overall structural health of the tunnel to each early warning level is obtained. where a i is the normalized weight of the corresponding factor, l ij and b ij are the degree of membership of the i-th factor to the j-th early warning level, * is the fuzzy operator (the present invention adopts the most commonly used weighted average operator), l 1j and b 1 correspond to the green early warning level, l 2j and b 2 correspond to the blue early warning level, l 3j and b 3 correspond to the orange early warning level, and l 4j and b 4 correspond to the red early warning level.
步骤4:用三标度法确定各个层次各指标的权重。Step 4: Use the three-scale method to determine the weight of each index at each level.
4.1确定三标度法中指标对决策目标的相对重要程度可表示为:4.1 Determining the relative importance of indicators to decision-making objectives in the three-scale method can be expressed as:
4.2依据具体问题可生成两两比较矩阵C:4.2 According to specific problems, a pairwise comparison matrix C can be generated:
4.3基于两两比较矩阵C计算的最优传递矩阵O:4.3 The optimal transfer matrix O calculated based on the pairwise comparison matrix C:
其中: in:
4.4将最优传递矩阵转化为一致性判断矩阵A:4.4 Convert the optimal transfer matrix into a consistency judgment matrix A:
其中:aij=exp(oij),由于故cij=cimcmj,依据一致性矩阵的定义矩阵A无需进行一致性检验。where: a ij =exp(o ij ), since Therefore, c ij =c im c mj , and the matrix A does not need to be checked for consistency according to the definition of the consistency matrix.
在求得一致性判断矩阵后,就可求出其特征值与对应的特征向量,将最大特征值对应的特征向量进行归一化处理,即可得到各指标对决策目标的权重。After the consistency judgment matrix is obtained, its eigenvalues and corresponding eigenvectors can be obtained, and the eigenvector corresponding to the largest eigenvalue can be normalized to obtain the weight of each index to the decision target.
步骤5:针对最底层各评价指标构造隶属度函数,对最底层各评价指标在一个断面内的多处监测数据进行加权平均融合,将加权平均融合值代入隶属度函数计算出相应评价指标对各个预警等级的隶属度。Step 5: Construct a membership function for each evaluation index at the bottom layer, perform weighted average fusion of multiple monitoring data in a section of each evaluation index at the bottom layer, and substitute the weighted average fusion value into the membership function to calculate the corresponding evaluation index for each Membership of the warning level.
本发明隶属度函数构造为正态分布型,得:The membership function of the present invention is constructed as a normal distribution type, and obtains:
其中:f(x)为某评价指标的结构响应值为x时对指定预警等级的隶属度,当已知单支传感器的监测值x时,则f(x)为该支传感器测点处评价指标对某一预警等级的隶属度;F(r)为布尔函数,若r成立,则F(r)=1;反之,则F(r)=0。确定隶属度时,应先看预警区间形式,再确定对应的函数计算公式,各预警区间的函数图像形式如图2(a)~图2(f)所示。Among them: f(x) is the membership degree to the specified warning level when the structural response value of a certain evaluation index is x, when the monitoring value x of a single sensor is known, then f(x) is the evaluation at the measuring point of the sensor The membership degree of the indicator to a certain warning level; F(r) is a Boolean function, if r is established, then F(r)=1; otherwise, F(r)=0. When determining the degree of membership, you should first look at the form of the warning interval, and then determine the corresponding function calculation formula. The function image form of each warning interval is shown in Figure 2(a) to Figure 2(f).
对于多支传感器的加权平均融合值计算方法公式如下:The formula for calculating the weighted average fusion value of multiple sensors is as follows:
步骤6:将上述算法植入自动化监测软件中,实现在线多层次分级预警,及时发现隧道结构安全隐患。Step 6: Embed the above algorithm into the automatic monitoring software to realize online multi-level and hierarchical early warning, and timely discover hidden dangers of tunnel structure safety.
在以下实施例中,某隧道断面A的传感器布置如图3(a)~图3(c)所示,其中图3(a)为预埋传感器安装图;图3(b)为表面传感器安装图,即断面A共安装传感器72支;图3(c)为跨越断面A的纵向不均匀沉降监测段传感器布置图,包括9支光纤光栅静力水准仪,每间隔20米布置一个测点。断面A所有传感器在某一段时期的传感器监测数据如图4(a)~图4(g)所示。In the following embodiments, the sensor arrangement of a tunnel section A is shown in Figures 3(a) to 3(c), of which Figure 3(a) is the installation diagram of the embedded sensor; Figure 3(b) is the installation of the surface sensor Fig. 3(c) is the sensor layout of the longitudinal uneven settlement monitoring section spanning section A, including 9 fiber grating static levels, and a measuring point is arranged every 20 meters. The sensor monitoring data of all sensors in section A in a certain period are shown in Figure 4(a) to Figure 4(g).
下面基于断面A的传感器监测数据,对该断面的结构健康状况进行在线分级预警评价。Based on the sensor monitoring data of section A, the online graded early warning evaluation of the structural health status of the section is carried out.
步骤a:界定隧道结构健康状况为两个层次,第一层次为结构变形与结构内力,在第二层次中将结构变形细分为接缝张开度、纵向不均匀沉降、拱顶收敛与管片倾斜偏转,将结构内力细分为钢筋内力、混凝土应变与车道板应变,组成如图5所示的评价指标体系层次模型树。Step a: Define the health status of the tunnel structure into two levels. The first level is structural deformation and structural internal force. In the second level, the structural deformation is subdivided into joint opening, longitudinal uneven settlement, vault convergence and segment inclination. Deflection, the internal force of the structure is subdivided into steel internal force, concrete strain and lane slab strain to form a hierarchical model tree of the evaluation index system as shown in Figure 5.
步骤b:参照相关规范及相关科研成果,确定本实施例中各具体指标预警等级及预警区间划分结果,如表1所示。Step b: With reference to relevant specifications and relevant scientific research achievements, determine the early warning level of each specific indicator and the division result of the early warning interval in this embodiment, as shown in Table 1.
表1Table 1
步骤c:根据图5中的层次模型树,建立计算各层次评价指标预警等级的模糊关系方程组:Step c: According to the hierarchical model tree in Figure 5, establish a fuzzy relational equation system for calculating the early warning levels of the evaluation indicators at each level:
步骤d:采用三标度法确定层次模型树中各指标的权重。Step d: Use the three-scale method to determine the weight of each index in the hierarchical model tree.
对于第一层次,结构变形重要程度大于结构内力,采用三标度法可求得各自权重分别为0.73、0.27。对于第二层次,结构变形下四个指标各自权重依次为0.45、0.28、0.17、0.1;结构内力下三个指标各自权重依次为0.56、0.29、0.15。For the first level, the structural deformation is more important than the internal force of the structure, and the three-scale method can be used to obtain the respective weights of 0.73 and 0.27, respectively. For the second level, the respective weights of the four indicators under the structural deformation are 0.45, 0.28, 0.17, and 0.1; the respective weights of the three indicators under the structural internal force are 0.56, 0.29, and 0.15.
步骤e:根据图2(a)~图2(f)所对应的隶属度函数形式计算各层次评价指标对各个预警等级的隶属度。先对最底层各评价指标在一个断面内的多处监测数据进行加权平均融合,将加权平均融合值代入隶属度函数计算出相应评价指标对各个预警等级的隶属度;然后将最底层计算出的隶属度代入模糊关系方程组,层层向上代入计算,最后可得到所有评价指标对各个预警等级的隶属度,如图6所示为本实例9月16日中午12点整这一时刻的分级预警结果。Step e: Calculate the membership degree of each level of evaluation index to each early warning level according to the membership degree function form corresponding to FIG. 2(a)-FIG. 2(f). First, perform weighted average fusion of multiple monitoring data in a section of each evaluation index at the bottom layer, and substitute the weighted average fusion value into the membership function to calculate the membership degree of the corresponding evaluation index to each early warning level; The membership degree is substituted into the fuzzy relation equation system, and the calculation is carried out layer by layer. Finally, the membership degree of all evaluation indicators for each early warning level can be obtained. Figure 6 shows the hierarchical early warning of this example at 12:00 noon on September 16. result.
步骤f:将上述算法植入自动化监测软件中,经计算得断面A结构一段时期内整体安全性的连续实时评价结果,如图7所示。Step f: The above algorithm is implanted into the automatic monitoring software, and the continuous real-time evaluation result of the overall safety of the section A structure within a period of time is calculated, as shown in Figure 7.
上述对实施例的描述是为便于本技术领域的普通技术人员能理解和应用本发明。熟悉本领域技术的人员显然可以容易地对上述实施例做出各种修改,并把在此说明的一般原理应用到其他实施例中而不必经过创造性的劳动。因此,本发明不限于上述实施例,本领域技术人员根据本发明的揭示,对于本发明做出的改进和修改都应该在本发明的保护范围之内。The above description of the embodiments is for the convenience of those of ordinary skill in the art to understand and apply the present invention. It will be apparent to those skilled in the art that various modifications to the above-described embodiments can be readily made, and the general principles described herein can be applied to other embodiments without inventive effort. Therefore, the present invention is not limited to the above-mentioned embodiments, and improvements and modifications made by those skilled in the art according to the disclosure of the present invention should all fall within the protection scope of the present invention.
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