CN117824487A - High-precision intelligent detection method for differential mechanism tool of pipeline robot - Google Patents
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Abstract
Description
技术领域Technical Field
本发明涉及机器人差速器工装领域,具体涉及一种管道机器人差速器工装高精度智能检测方法。The present invention relates to the field of robot differential tooling, and in particular to a high-precision intelligent detection method for a pipeline robot differential tooling.
背景技术Background technique
差速器是管道机器人驱动系统的重要部件。在管道机器人通过弯管时,差速器能够使左、右(或前、后)驱动轮实现以不同转速转动的机构,调整左右轮转速差,使左右车轮以不同转速滚动,从而保证两侧驱动车轮作纯滚动运动。差速器壳体作为差速器的重要基础部件,直接影响着差速器内部齿轮装配以及差速器与驱动桥装配的精度。对于特种管道机器人,必须通过在差速器制造和检测两个环节对质量进行把控,可以有效地提升差速器壳体品质的稳定性。The differential is an important component of the pipeline robot drive system. When the pipeline robot passes through a bend, the differential can enable the left and right (or front and rear) drive wheels to rotate at different speeds, adjust the speed difference between the left and right wheels, and make the left and right wheels roll at different speeds, thereby ensuring that the drive wheels on both sides perform pure rolling motion. As an important basic component of the differential, the differential housing directly affects the assembly of the internal gears of the differential and the accuracy of the assembly of the differential and the drive axle. For special pipeline robots, quality must be controlled in both differential manufacturing and testing, which can effectively improve the stability of the quality of the differential housing.
差速器壳体的检验是非常重要的工序,测量项目多,要求精度高。目前常用形位公差测量方法主要有手工测量和三坐标测量。手工近似测量方法形位公差测量主要通过千分表近似测量圆度。这种测量方式存在以下问题:1)操作繁琐,工人劳动强度大;2)近似判断零件合格情况,可能存在合格误判;3)测量精度低,与工人的操作熟练度和工作状态有很大关系;4)需要将差速器壳体从机床手工搬运到测量回转台,测量结束后再分拣存放,费事费力。三坐标测量法一定程度上解决了上述难题,可以定量地检测出零件的形状及位置尺寸,还可以对零件形貌进行直观的图形描述,将抽象的数字转化成了直观图像,为质量控制更来了更大便捷性。但是,三坐标测量机的测量效率也较低,而且对测量环境要求苛刻、测量重复性不好,需要专门的室内恒温测量场所。The inspection of the differential housing is a very important process, with many measurement items and high precision requirements. At present, the commonly used form and position tolerance measurement methods are mainly manual measurement and three-coordinate measurement. The manual approximate measurement method mainly measures the roundness by approximating the micrometer. This measurement method has the following problems: 1) The operation is cumbersome and the labor intensity of the workers is high; 2) The approximate judgment of the qualified status of the parts may result in misjudgment of qualified status; 3) The measurement accuracy is low, which is closely related to the workers' operating proficiency and working status; 4) The differential housing needs to be manually transported from the machine tool to the measuring turntable, and then sorted and stored after the measurement, which is time-consuming and laborious. The three-coordinate measurement method solves the above problems to a certain extent. It can quantitatively detect the shape and position size of the parts, and can also make intuitive graphical descriptions of the part morphology, converting abstract numbers into intuitive images, which brings greater convenience to quality control. However, the measurement efficiency of the three-coordinate measuring machine is also low, and it has strict requirements on the measurement environment and poor measurement repeatability, requiring a special indoor constant temperature measurement place.
现有技术中,对形位公差测量方法已有较多研究,主要针对测量方法,评定原理和测量不确定性进行分析,大大推动了形位公差测量技术的发展。圆柱几何体的几何特征评定,给出了圆柱度和轴线直线度两者的数学模型以及评定方法,圆柱度可以通过最小二乘圆柱法、最大外接圆柱法、最小内接圆柱法和最小区域圆柱法评定。但这种人工测量操作比较复杂,而且测量误差不定。基于神经网络智能优化算法改进了低速圆度仪的测量过程,实现了快速得出结果并能够对异常模式进行判断的能力,但将该方法的实际应用难度大。In the prior art, there have been many studies on the form and position tolerance measurement methods, mainly focusing on the analysis of measurement methods, evaluation principles and measurement uncertainty, which has greatly promoted the development of form and position tolerance measurement technology. The geometric feature evaluation of cylindrical geometric bodies provides mathematical models and evaluation methods for both cylindricity and axis straightness. Cylindricity can be evaluated by the least squares cylinder method, the maximum circumscribed cylinder method, the minimum inscribed cylinder method and the minimum area cylinder method. However, this manual measurement operation is relatively complicated, and the measurement error is uncertain. Based on the neural network intelligent optimization algorithm, the measurement process of the low-speed roundness instrument is improved, and the ability to quickly obtain results and judge abnormal patterns is achieved, but the actual application of this method is difficult.
发明内容Summary of the invention
本发明要解决的技术问题是:提出一种管道机器人差速器工装高精度智能检测方法,针对差速器壳体的手工测量、三坐标测量和智能优化算法检测中所存在的操作繁琐、效率低、测量精度低等问题,在确定误差评定指标的基础上,提高管道机器人差速器工装高精度智能检测的效率与精度。The technical problem to be solved by the present invention is: to propose a high-precision intelligent detection method for the differential tooling of a pipeline robot, to improve the efficiency and accuracy of the high-precision intelligent detection of the differential tooling of the pipeline robot on the basis of determining the error evaluation index, aiming at the problems of cumbersome operation, low efficiency and low measurement accuracy existing in the manual measurement, three-coordinate measurement and intelligent optimization algorithm detection of the differential housing.
本发明采用以下技术方案:一种管道机器人差速器工装高精度智能检测方法,包括如下步骤:The present invention adopts the following technical solution: a high-precision intelligent detection method for differential tooling of a pipeline robot, comprising the following steps:
S1、确定圆柱度误差评定指标:根据相对测量原理,先在差速器壳体工装机的圆柱面上放置多个高精度电感式传感器,再放置标准件,将各传感器读数调零,然后放入待测件,利用测量点到轴线的距离确定待测件与标准件的圆柱度误差评定指标;S1. Determine the cylindrical error evaluation index: According to the relative measurement principle, first place multiple high-precision inductive sensors on the cylindrical surface of the differential housing assembly machine, then place the standard parts, adjust the readings of each sensor to zero, and then place the test piece, and use the distance from the measuring point to the axis to determine the cylindrical error evaluation index of the test piece and the standard part;
S2、误差优化计算:提出邻域粒子智能优化方法确定参数;S2, Error optimization calculation: Propose a neighborhood particle intelligent optimization method to determine parameters;
S3、差速器检测评定:计算差速器待测件截面半径与差速器标准件截面半径的误差,其值越小说明待测件越接近标准件。S3. Differential inspection and evaluation: Calculate the error between the cross-sectional radius of the differential test piece and the cross-sectional radius of the differential standard part. The smaller the value, the closer the test piece is to the standard part.
进一步地,步骤S1中圆柱度误差评定指标的确定按以下方法来操作:Furthermore, the determination of the cylindricity error evaluation index in step S1 is performed in the following manner:
S1.1、用Q个传感器进行测量采样,每个传感器在三维空间中对应x,y,z坐标,标记圆柱面的轴线与xoy平面交点坐标为(a,b,0),轴线的方向向量为(p,q,1),S1.1. Use Q sensors to measure and sample. Each sensor corresponds to x, y, and z coordinates in three-dimensional space. The coordinates of the intersection of the axis of the cylinder and the xoy plane are ( a , b , 0), and the direction vector of the axis is ( p , q , 1).
其中,a、b、p、q为待确定的参数;Among them, a , b , p , q are parameters to be determined;
S1.2、第i个传感器的z坐标由传感器安装高度确定,x,y坐标与传感器读数δ i 的关系为:S1.2. The z coordinate of the i -th sensor is determined by the sensor installation height. The relationship between the x, y coordinates and the sensor reading δ i is:
; ;
其中,i=1,2,...,Q,R 0 为标准轮廓的半径(单位:mm),θ为待测件相对初始位置转过的角度(单位:度);Where, i =1,2,..., Q , R0 is the radius of the standard profile (unit: mm), θ is the angle of the test piece relative to the initial position (unit: degree);
S1.3、计算圆柱面上任意采样点到轴线的距离d i :S1.3. Calculate any sampling point on the cylindrical surface Distance to the axis d i :
; ;
其中,;in, ;
S1.4、根据最小二乘原理,各测量点到圆柱面距离的平方和应最小,则圆柱度的误差评定指标函数为:S1.4. According to the least squares principle, the sum of the squares of the distances from each measuring point to the cylindrical surface should be the smallest, so the error evaluation index function of cylindricity is:
; ;
其中,a、b、p、q为待确定的参数变量,R为差速器待测件截面半径。Among them, a , b , p , q are parameter variables to be determined, and R is the cross-sectional radius of the differential test piece.
进一步地,步骤S2中,误差优化计算,步骤如下:Furthermore, in step S2, the error optimization calculation is performed as follows:
S2.1、初始化:确定粒子种群规模M,迭代参数k=1,最大迭代次数为K max,粒子的初始位置向量为:S2.1. Initialization: Determine the particle population size M , the iteration parameter k = 1, the maximum number of iterations is K max , and the initial position vector of the particle is:
; ;
粒子的初始速度向量为:The initial velocity vector of the particle is:
; ;
最大速度为V max,每个邻域粒子数为N;The maximum velocity is V max , and the number of particles in each neighborhood is N ;
分别表示第1次迭代第r个粒子对应的位置参数变量,分别表示与/>对应的速度参数变量; They represent the position parameter variables corresponding to the rth particle in the first iteration, Respectively represent and/> The corresponding speed parameter variable;
S2.2、计算误差评定指标:将代入步骤S1.4中公式,得到误差评定指标函数值;S2.2. Calculation error evaluation index: Substitute into the formula in step S1.4 to obtain the error assessment index function value;
S2.3、确定邻域方案:若k<K max,采用:S2.3. Determine the neighborhood solution: If k < K max , use:
构造N m 个邻域,; Construct N m neighborhoods, ;
反之,采用:Instead, use:
构造N m 个邻域,每个邻域的第一个粒子可接受全局信息,其他粒子只接受邻域信息; Construct Nm neighborhoods. The first particle in each neighborhood can receive global information, and other particles only receive neighborhood information.
S2.4、更新粒子:第k+1次迭代,粒子根据如下公式更新速度和位置,公式如下:S2.4. Update particles: In the k +1th iteration, the particle updates its velocity and position according to the following formula:
; ;
其中,w为惯性权重;c 1,c 2,c 3为学习因子,r 1,r 2取[0,1]之间均匀分布的随机数;Among them, w is the inertia weight; c 1 , c 2 , c 3 are learning factors, r 1 , r 2 are random numbers uniformly distributed between [0,1];
为第i个粒子经历的最好位置(个体极值),/>为所有粒子种群经历的最好位置(全局极值),/>为第i个粒子对应邻域中所有粒子经历的最好位置(邻域极值); is the best position (individual extreme value) experienced by the ith particle,/> is the best position experienced by all particle populations (global extremum),/> is the best position experienced by all particles in the neighborhood corresponding to the i -th particle (neighborhood extreme value);
Y r 为邻域学习能力函数,取[0,1]之间的常数或随机数,以区别粒子获取全局或邻域知识的能力; Y r is the neighborhood learning ability function, which takes a constant or random number between [0,1] to distinguish the ability of particles to acquire global or neighborhood knowledge;
S2.5、判断终止条件:S2.5. Determine the termination conditions:
如果达到最大迭代次数(k=K max),则寻优结束,所得到的全局最优值即为a、b、p、q、R的最优参数值;If the maximum number of iterations is reached ( k = K max ), the optimization ends and the global optimal value is obtained. That is, the optimal parameter values of a , b , p , q , and R ;
否则,, 转步骤S2.2。otherwise, , go to step S2.2.
本发明采用以上技术方案与现有技术相比,具有以下技术效果:Compared with the prior art, the present invention adopts the above technical solution and has the following technical effects:
本发明管道机器人差速器工装高精度智能检测方法,通过内置高精度电感式传感器实时采集,克服了三坐标测量法需要逐点采集坐标、测量速度较慢、无法应用于现场的缺点;参数优化算法中将邻域信息共享思想整合到优化算法中,充分利用了搜索过程粒子间的演化信息,促进了搜索过程中粒子之间能交互信息,增加了粒子的多样性,避免了算法早熟收敛,能实现协同化和智能化地探索空间区域,从而大大提高了优化搜索效率和性能,增强了算法的全局搜索能力。The high-precision intelligent detection method for the differential tooling of the pipeline robot of the present invention collects information in real time through a built-in high-precision inductive sensor, thereby overcoming the shortcomings of the three-coordinate measurement method that requires point-by-point coordinate collection, has a slow measurement speed, and cannot be applied on site; the parameter optimization algorithm integrates the idea of neighborhood information sharing into the optimization algorithm, fully utilizes the evolution information between particles in the search process, promotes the information exchange between particles in the search process, increases the diversity of particles, avoids premature convergence of the algorithm, and can realize collaborative and intelligent exploration of spatial areas, thereby greatly improving the optimization search efficiency and performance, and enhancing the global search capability of the algorithm.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明管道机器人差速器工装高精度智能检测方法步骤流程图;FIG1 is a flowchart of the steps of a high-precision intelligent detection method for differential tooling of a pipeline robot according to the present invention;
图2为本发明高精度电感式传感器分布示意图;FIG2 is a schematic diagram of the distribution of high-precision inductive sensors of the present invention;
图3为本发明圆柱度误差评定指标计算流程图;FIG3 is a flow chart of calculation of cylindricity error evaluation index of the present invention;
图4为本发明实施例传感器读数与被测点坐标的关系;FIG4 is a diagram showing the relationship between the sensor reading and the coordinates of the measured point according to an embodiment of the present invention;
图5为本发明误差优化计算流程图。FIG5 is a flowchart of error optimization calculation of the present invention.
具体实施方式Detailed ways
下面结合附图对本发明的技术方案做进一步的详细说明:The technical solution of the present invention is further described in detail below in conjunction with the accompanying drawings:
本技术领域技术人员可以理解的是,除非另外定义,这里使用的所有术语(包括技术术语和科学术语)具有与本发明所属领域中的普通技术人员的一般理解相同的意义。还应该理解的是,诸如通用字典中定义的那些术语应该被理解为具有与现有技术的上下文中的意义一致的意义,并且除非像这里一样定义,不会用理想化或过于正式的含义来解释。It will be understood by those skilled in the art that, unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as generally understood by those skilled in the art in the field to which the present invention belongs. It should also be understood that terms such as those defined in common dictionaries should be understood to have meanings consistent with the meanings in the context of the prior art, and will not be interpreted with idealized or overly formal meanings unless defined as herein.
本发明管道机器人差速器工装高精度智能检测方法,如图1所示,包括如下步骤:The high-precision intelligent detection method for differential tooling of a pipeline robot of the present invention, as shown in FIG1 , comprises the following steps:
S1、圆柱度误差评定:根据相对测量原理,在差速器壳体工装机的圆柱面上放置若干个高精度电感式传感器,放置差速器标准件,将各传感器读数调零,然后放入差速器待测件,利用测量点到轴线的距离确定差速器待测件与标准件的圆柱度误差评定指标;S1. Cylindricity error assessment: Based on the relative measurement principle, several high-precision inductive sensors are placed on the cylindrical surface of the differential housing assembly machine, and the differential standard parts are placed. The readings of each sensor are adjusted to zero, and then the differential to be tested is placed. The distance from the measuring point to the axis is used to determine the cylindricity error assessment index of the differential to be tested and the standard part.
S2、误差优化计算:使用邻域粒子智能优化方法,确定圆柱度误差评定中的参数;S2. Error optimization calculation: Use the neighborhood particle intelligent optimization method to determine the parameters in the cylindrical error evaluation;
S3、差速器检测评定:计算差速器待测件截面半径R与差速器标准件截面半径R 0 的误差。S3. Differential test and evaluation: Calculate the error between the cross-sectional radius R of the differential to be tested and the cross-sectional radius R0 of the differential standard part .
在本发明的一个实施例中,以10个传感器进行测量采样为例,为了确定圆柱度误差评定指标,首先在差速器壳体工装机的圆柱面上放置多个高精度电感式传感器,如图2所示。In one embodiment of the present invention, taking measurement sampling with 10 sensors as an example, in order to determine the cylindricity error evaluation index, firstly, a plurality of high-precision inductive sensors are placed on the cylindrical surface of the differential housing assembly machine, as shown in FIG. 2 .
圆柱度误差评定指标计算流程如图3所示,具体步骤如下:The calculation process of the cylindricity error evaluation index is shown in Figure 3. The specific steps are as follows:
步骤1:每个传感器在三维空间中对应x,y,z坐标,标记圆柱面的轴线与xoy平面交点坐标为(a,b,0),轴线的方向向量为(p,q,1);Step 1: Each sensor corresponds to x, y, z coordinates in three-dimensional space, the coordinates of the intersection of the axis of the cylinder and the xoy plane are marked as ( a , b , 0), and the direction vector of the axis is ( p , q , 1);
其中,a、b、p、q为待确定的参数;Among them, a , b , p , q are parameters to be determined;
步骤2:第i个传感器的z坐标由传感器安装高度确定,传感器读数与被测点坐标的关系如图4所示,图4中虚线为差速器标准件的标准轮廓,实线为差速器待测件的被测轮廓,确定x、y坐标与传感器读数δ i 的关系为:Step 2: The z coordinate of the i -th sensor is determined by the sensor installation height. The relationship between the sensor reading and the coordinates of the measured point is shown in Figure 4. The dotted line in Figure 4 is the standard contour of the differential standard part, and the solid line is the measured contour of the differential part to be tested. The relationship between the x, y coordinates and the sensor reading δ i is determined as follows:
; ;
其中,i=1,2,...,10,R 0 为标准轮廓的半径(单位:mm),θ为待测件相对初始位置转过的角度(单位:度);Where, i = 1, 2, ..., 10, R 0 is the radius of the standard profile (unit: mm), θ is the angle of the test piece relative to the initial position (unit: degree);
步骤3:计算圆柱面上任意采样点到轴线的距离d i :Step 3: Calculate any sampling points on the cylindrical surface Distance to the axis d i :
; ;
其中,;in, ;
步骤4:根据最小二乘原理,各测量点到圆柱面距离的平方和应最小,则圆柱度的误差评定指标函数为:Step 4: According to the least squares principle, the sum of the squares of the distances from each measuring point to the cylindrical surface should be minimized, so the error evaluation index function of cylindricity is:
; ;
其中,a、b、p、q、R为待确定的参数变量。Among them, a , b , p , q , and R are parameter variables to be determined.
然后,进行误差优化计算,采用邻域粒子智能优化方法确定圆柱度误差评定指标计算中带确定的参数变量,具体实施流程如图5所示,邻域粒子智能优化方法步骤如下:Then, the error optimization calculation is performed, and the neighborhood particle intelligent optimization method is used to determine the parameter variables in the calculation of the cylindrical error evaluation index. The specific implementation process is shown in Figure 5. The steps of the neighborhood particle intelligent optimization method are as follows:
(1) 初始化:(1) Initialization:
本实施例中,确定粒子种群规模M=40,迭代参数k=1,最大迭代次数K max=500;In this embodiment, the particle population size M = 40, the iteration parameter k = 1, and the maximum number of iterations K max = 500 are determined;
用伪随机数生成器,产生粒子的初始位置向量:Use a pseudo-random number generator to generate the initial position vector of the particle:
; ;
和粒子的初始速度向量:and the particle's initial velocity vector:
; ;
学习因子c 1=c 2=c 3=1.5,最大速度V max=10,每个邻域粒子数N=5;The learning factor c 1 = c 2 = c 3 = 1.5, the maximum velocity V max = 10, and the number of particles in each neighborhood N = 5;
(2)计算误差评定指标:(2) Calculation error evaluation index:
将代入步骤4中的公式,得到误差评定指标函数值;Will Substitute into the formula in step 4 to obtain the error assessment index function value;
(3)确定邻域方案:(3) Determine the neighborhood solution:
若k<K max,采用:If k < K max , use:
构造N m 个邻域,; Construct N m neighborhoods, ;
反之,采用:Instead, use:
构造N m 个邻域; Construct N m neighborhoods;
每个邻域的第一个粒子可接受全局信息,其他粒子只接受邻域信息;The first particle in each neighborhood can receive global information, and other particles only receive neighborhood information;
(4)更新粒子:(4) Update particles:
第k+1次迭代,粒子根据如下公式更新速度和位置:In the k +1th iteration, the particle updates its velocity and position according to the following formula:
; ;
其中,w为惯性权重,特别地,本实施例中采用线性递减权重;r 1,r 2取[0,1]之间均匀分布的随机数;Wherein, w is the inertia weight, and in particular, a linear decreasing weight is adopted in this embodiment; r 1 , r 2 are random numbers uniformly distributed between [0,1];
为第i个粒子经历的最好位置(个体极值),/>为所有粒子种群经历的最好位置(全局极值),/>为第i个粒子对应邻域中所有粒子经历的最好位置(邻域极值); is the best position (individual extreme value) experienced by the ith particle,/> is the best position experienced by all particle populations (global extremum),/> is the best position experienced by all particles in the neighborhood corresponding to the i -th particle (neighborhood extreme value);
Y r 为邻域学习能力函数,取[0,1]之间的常数或随机数,以区别粒子获取全局或邻域知识的能力; Y r is the neighborhood learning ability function, which takes a constant or random number between [0,1] to distinguish the ability of particles to acquire global or neighborhood knowledge;
(5)判断终止条件:(5) Determine the termination conditions:
如果达到最大迭代次数(k=K max),则寻优结束,所得到的全局最优值即为a、b、p、q、R的最优参数值;否则,/>, 转步骤(2)。If the maximum number of iterations is reached ( k = K max ), the optimization ends and the global optimal value is obtained. That is, the optimal parameter value of a , b , p , q , and R ; otherwise, /> , go to step (2).
最后,进行管道机器人差速器工装高精度智能检测方法中的差速器检测评定,即计算差速器待测件截面半径R与差速器标准件截面半径R 0 的误差e:Finally, the differential detection and evaluation in the high-precision intelligent detection method of the pipeline robot differential tooling is carried out, that is, the error e between the cross-sectional radius R of the differential to be tested and the cross-sectional radius R0 of the differential standard part is calculated:
; ;
误差e的值越小说明待测件越接近标准件。The smaller the value of error e is, the closer the part to be tested is to the standard part.
经过实验,本发明管道机器人差速器工装高精度智能检测方法,相比于基于常规粒子群的智能检测方法,误差e可降低10%。Through experiments, the high-precision intelligent detection method for differential tooling of the pipeline robot of the present invention can reduce the error e by 10% compared with the intelligent detection method based on conventional particle swarm.
本发明实施例中,还提供了一种电子设备,包括:一个或多个处理器;存储装置,其上存储有一个或多个程序;当一个或多个程序被所述一个或多个处理器执行,使得一个或多个处理器实现上述任一实施例描述的管道机器人差速器工装高精度智能检测方法。In an embodiment of the present invention, an electronic device is also provided, including: one or more processors; a storage device on which one or more programs are stored; when the one or more programs are executed by the one or more processors, the one or more processors implement the high-precision intelligent detection method for differential tooling of a pipeline robot described in any of the above embodiments.
本发明实施例中,还提供了一种计算机可读存储介质,其上存储有计算机程序,该程序被处理器执行时,实现上述实施例中任一管道机器人差速器工装高精度智能检测方法中的步骤。In an embodiment of the present invention, a computer-readable storage medium is further provided, on which a computer program is stored. When the program is executed by a processor, the steps of the high-precision intelligent detection method for differential tooling of a pipeline robot in any of the above embodiments are implemented.
本实施例仅为说明本发明的技术思想,不能以此限定本发明的保护范围,凡是按照本发明提出的技术思想,在技术方案基础上所做的任何改动,均落入本发明保护范围之内。This embodiment is only for illustrating the technical idea of the present invention, and cannot be used to limit the protection scope of the present invention. Any changes made on the basis of the technical solution in accordance with the technical idea proposed by the present invention shall fall within the protection scope of the present invention.
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