公差耦合下的直线轴误差预测研究  

Error Prediction for Linear Axis in the Case of Coupled Tolerance

作　　者：王振豪 陈小锋 王立新[1] WANG Zhenhao;CHEN Xiaofeng;WANG Lixin(School of Mechanical and Power Engineering,Zhengzhou University,Zhengzhou 450001,China;Suzhou UB Precision Intelligent Equipment Co.,Ltd.,Suzhou 215021,China)

机构地区：[1]郑州大学机械与动力工程学院,郑州450001 [2]苏州优备精密智能装备股份有限公司,苏州215021

出　　处：《组合机床与自动化加工技术》2025年第3期214-218,共5页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：科技部创新方法工作专项项目(2019IM010400-03)。

摘　　要：为了解决忽略公差耦合效应可能导致误差预测结果不准确的问题,针对双导轨四滑块的直线轴,开展了公差耦合下的运动误差预测研究。首先,采用小位移旋量(SDT)对直线轴的零件设计公差进行建模;其次,利用蒙特卡洛法生成误差旋量;接着,基于多体系统与齐次变换矩阵建立运动误差传递关系,预测运动误差的实际变动区间带宽;最后,进行了算例研究,并对比了考虑和忽略公差耦合效应的预测结果。结果表明,忽略公差耦合的误差预测结果存在风险,验证了考虑公差耦合建模的必要性。In order to solve the problem that ignoring the tolerance coupling effect may lead to inaccurate error prediction results,a study on motion error prediction under tolerance coupling was carried out for linear axis with double guide rails and four sliders.Firstly,the small displacement torsor(SDT)was used to model the part tolerances of the linear axis.Secondly,the Monte Carlo Simulation was applied to generate the error torsor.Thirdly,the error propagation relationship was established based on the multi-body system and homogeneous transformation matrix to solve the actual variation interval bandwidth of the motion error.Finally,an arithmetic study was done and the prediction results considering and neglecting the coupled tolerance were compared.The results show that there are risks in the error prediction results when neglecting coupled tolerance,and the necessity of considering coupled tolerance modelling is verified.

关 键 词：直线运动 误差分析 公差耦合 误差预测 

分 类 号：TH164[机械工程—机械制造及自动化] TG506[金属学及工艺—金属切削加工及机床]