滚珠丝杠进给系统混合建模及其振动时变性分析

董亮 汤文成 刘立

振动与冲击 ›› 2013, Vol. 32 ›› Issue (20) : 196-202.

PDF(1980 KB)
PDF(1980 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (20) : 196-202.
论文

滚珠丝杠进给系统混合建模及其振动时变性分析

  • 董亮1 汤文成1 刘立1
作者信息 +

Hybrid modeling and time-varying analysis of vibration for ball screw drives

  • Liang Dong1 Wen Cheng Tang1 and Li Liu1
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文章历史 +

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。

Abstract

In order to get the complete structural dynamic of the ball screw drive this paper proposes a hybrid modeling method. The ball screw is considered as a distributed-parameter model, while the other more rigid components are considered as lumped-parameter models. The axial, torsional and flexural vibrations of the screw are determined by the power balance and Ritz series method. The mass, stiffness and damping matrix of the system are obtained. Influences of parameters, such as table mass and table position, on the structural dynamic of the ball screw drive are discussed. The mode shapes for variable table position are obtained. The results reveal that the axial modes are sensitive to the table position and mass, while the torsional modes are insensitive to the table position and mass. Table position has a large influence on the flexural modes. Compared with the experimental results, the model can accurately capture the structural dynamic of the ball screw drive.


关键词

滚珠丝杠 / 驱动系统 / 振动 / 混合建模

Key words

ball screw / feed drive / vibration / hybrid modeling

引用本文

导出引用
董亮 汤文成 刘立. 滚珠丝杠进给系统混合建模及其振动时变性分析[J]. 振动与冲击, 2013, 32(20): 196-202
Liang Dong Wen Cheng Tang and Li Liu. Hybrid modeling and time-varying analysis of vibration for ball screw drives[J]. Journal of Vibration and Shock, 2013, 32(20): 196-202

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