工程设计学报2025，Vol.32Issue(2)：208-219,12.
基于进给系统非线性静力学模型的机床加工误差预测
Prediction of machining error of machine tool based on nonlinear statics model of feed system
摘要
Abstract
In order to improve the machining accuracy of machine tools,the target of guide rail error is determined during the machine tool design stage,and the mapping relationship between guide rail errors and workpiece errors was studied.Firstly,based on Hertz contact theory,the coordination relationship between rolling element deformation and load was constructed,as well as the static equilibrium equation of the guide rail pair considering the structural stiffness of the slider.On this basis,the potential energy function for the guide rail pair was constructed.The equivalent stiffness model of the guide rail pair was established through the potential energy decomposition,and the finite element simulation verification was carried out.Then,based on the finite element model of the slider fastener,a stiffness matrix of the slider fastener facing the slider position nodes was constructed.Based on the principle of minimum potential energy and combined with the equivalent stiffness model of the guide rail pair,the error mapping relationship between the guide rail and the motion pair in the multi-slider system considering the structural stiffness of the slider fastener was established,and the finite element simulation verification was also carried out.Next,based on the multi-body system theory,a geometric error transfer model for machine tools was established to obtain the tool pose error.Finally,by employing the principle of geometric kinematics,a prediction model for workpiece machining errors was established by performing Boolean operations on the three-dimensional discrete points of the workpiece and the geometric boundaries of the tool,thereby establishing a mapping model between guide rail errors and workpiece errors.Taking a certain type of machine tool as an example,the influence of guide rail error and turntable error on workpiece error was compared and analyzed,which verified the feasibility of the proposed method.The research results can provide theoretical guidance for the precision design of machine tools.关键词
导轨误差/工件误差/映射模型/多滑块系统/运动副误差Key words
guide rail error/workpiece error/mapping model/multi-slider system/motion pair error分类
机械工程引用本文复制引用
李圣韬,张大卫,郑述国..基于进给系统非线性静力学模型的机床加工误差预测[J].工程设计学报,2025,32(2):208-219,12.基金项目
工业和信息化部重大科技专项资助项目(TC210H035-008) （TC210H035-008）
