摘要
为了研究滚珠丝杠进给系统的振动特性,提出了一种混合建模方法,将丝杠作为分布参数模型,其余部件作为集中参数模型。应用功率平衡法和Ritz级数法,建立了滚珠丝杠进给系统的轴向、扭转和弯曲振动模型,并推导了系统的刚度、质量和阻尼矩阵。数值仿真分析了进给系统振动随工作台位置和质量变化的时变特性,并获得了不同工作台位置下的振型。研究表明工作台位置和质量变化对轴向振动的影响较大,对扭转振动影响较小,且工作台位置对弯曲振动影响较大。实验结果表明该混合模型能够准确预测系统的振动特性。
In order to get the dynamic behavior of a ball screw drive, a hybrid modeling method was proposed here. The ball screw was considered as a distributed-parameter model, while the other more rigid components were considered as lumped-parameter models. The dynamic models for axial, torsional and flexural vibrations of the screw were built using the power balance and Ritz series method. The mass, stiffness and damping matrix of the system were deduced. The influences of parameters, such as, table mass and table position, on the structural dynamic behavior of the ball screw drive were discussed. The mode shapes of the screw for different table positions were obtained. The results revealed that the axial vibration of the ball screw drive is sensitive to table position and mass, while its torsional vibration is insensitive to table position and mass ; table position has a large influence on the flexural vibration of the ball screw drive. Compared with the test results, it was shown that the proposed hybrid model can correctly predict the dynamic characteristics of a ball screw drive.
出处
《振动与冲击》
EI
CSCD
北大核心
2013年第20期196-202,共7页
Journal of Vibration and Shock
基金
国家科技重大专项资助项目(2012ZX04002-012)
