曲轴综合测量机几何误差建模及敏感性分析  

Geometric error modeling and sensitivity analysis of crankshaft comprehensive measuring machine

作　　者：王亚晓[1] 杨科科 WANG Yaxiao;YANG Keke(School of Mechatronic Engineering,Xi’an Technological University,Xi’an 710021,China)

机构地区：[1]西安工业大学机电工程学院,西安710021

出　　处：《重庆理工大学学报（自然科学）》2024年第5期295-302,共8页Journal of Chongqing University of Technology：Natural Science

基　　金：陕西省工业科技攻关项目(2016GY-067)。

摘　　要：为提高曲轴综合测量机测量精度,针对其几何误差元素多,逐一进行补偿工作量大、过程繁琐等问题,基于多体系统理论和齐次坐标变换建立曲轴综合测量机的几何误差模型,采用Sobol敏感性分析方法进行分析,识别出对测量精度影响较大的关键几何误差项。通过对曲轴综合测量机随动测板不同位置处的误差元素敏感性系数进行分析计算,从21项几何误差中识别出10项对曲轴综合测量机测量精度影响较大的关键项,为合理经济地提高曲轴综合测量机测量精度提供依据。The crankshaft comprehensive measuring machine can realize the automatic detection of key parameters of the crankshaft.In order to improve the measuring accuracy of the crankshaft comprehensive measuring machine,in view of the many geometric error elements of the crankshaft comprehensive measuring machine,the compensation work is large and the process is complicated.The crankshaft comprehensive measuring machine made by our research group is studied by using the multi-body dynamics theory.The dynamics theory of multi-body system is usually expressed by the combination of homogeneous coordinate transformation and low order body sequence.The low order body sequence is used to describe the relationship between the typical bodies in the topological structure of the crankshaft integrated measuring machine,and the relationship of degrees of freedom between the components of the measuring machine is determined.Based on the principle of homogeneous coordinate transformation,the pose relationship between the adjacent body of the crankshaft comprehensive measuring machine in the ideal state and the actual state is described,and the ideal static,actual static,ideal motion and actual motion transformation matrix between each adjacent body is determined.Finally,according to the deviation between the actual measuring point coordinates and the ideal measuring point coordinates,the corresponding spatial geometric error is obtained.The geometric error model of vertical crankshaft measuring machine is established.In order to determine the degree of influence of geometric error on the measuring accuracy of the vertical crankshaft measuring machine and identify the key error items that have great influence on the measuring accuracy of the crankshaft measuring machine,the geometric error model of the crankshaft comprehensive measuring machine is analyzed by using Sobol global sensitivity analysis method.Monte Carlo method is employed to estimate the variance of the geometric error model of the crankshaft comprehensive measuring machi

关 键 词：曲轴综合测量机 多体系统理论 Sobol敏感性分析 蒙特卡洛估算 关键几何误差 

分 类 号：TG806[金属学及工艺—公差测量技术] TH161[机械工程—机械制造及自动化]