摘要
研究了在转速改变情况下,机床主轴系统回转精度的非线性、非平稳特性,并以此模拟了机床主轴系统中非线性动力效应对其主轴回转精度的影响,且建立了一种主轴动态回转几何精度与非线性动力学效应的作用范式.以机床主轴系统的转速参数变化非线性动力学特性的分岔参数,模拟了主轴回转系统轴心轨迹图、相图、分岔图、庞加莱图等.通过建立考虑主轴支承系统非线性影响因素的动力学方程,分析了主轴系统转速变化对系统动态特性的影响.仿真结果表明,随着转速增加,系统出现2个混沌响应区域,进入混沌的主要途径是倍周期分岔.从理论上证明了通过选择合理的主轴工作转速,可提高机床主轴回转系统的运行稳定性.
This paper studied the nonlinearity and nonstationarity of dynamic gyration accuracy in the spindle system while its speed changing,and simulated the influence of nonlinear dynamic effect to the spindle gyration accuracy.This research set up a kind of role function model on dynamic geometry gyration accuracy of machine tool spindle considering nonlinear dynamic effect.We regarded the rotation parameter as the bifurcation parameter to analyze its nonlinear dynamic behavior,and obtained,spindle system axis path chart,phase diagram,bifurcation diagram and the poincare figure.By establishing nonlinear dynamics equations considering the influence factors for spindle bearing system,the inpluence of speed change in the spindle system to the dynamic property was analyzed on speed changed.The simulation results show that the system appeared two regional chaos response with the speed increasing,and the chief mean into the chaos perioddoubling bifurcation.The paper theoretically proved that the operation stability of spindle machine could improved by choosing suitable spindle rotation speed.
出处
《河南理工大学学报（自然科学版）》
CAS
北大核心
2012年第1期72-77,共6页
Journal of Henan Polytechnic University（Natural Science）
基金
国家自然科学基金资助项目(51075126)
国家十二五科技攻关项目(2010ZX04001-042)
河南省自然科学基金资助项目(092300410214
2010B460012)
河南理工大学博士基金资助项目(B2008-70)
关键词
机床主轴
动态回转精度
分叉
混沌
spindle of machine tools
dynamic gyration accuracy
bifurcation
chaos
