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Nonlinear dynamic analysis of ball screw feed system considering assembly error under harmonic excitation

机译：谐波激励下考虑装配误差的滚珠丝杠馈电系统的非线性动力学分析

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摘要

In this study, a multi-degree-of-freedom dynamic model is developed to investigate the nonlinear dynamic characteristic of the ball screw feed system. The fourth-order Runge-Kutta method is used to obtain the numerical solution of the governing equations. In the proposed dynamic model, the assembly error of the system is considered as the deflection angle around the geometric center of the screw shaft. The motion of the system at each point is illustrated by displacement waveform, spectrum, phase diagram and Poincare section. The influence of excitation amplitude and assembly error is discussed with excitation amplitude, deflection angle, and excitation frequency as control parameter in the bifurcation diagram and 3-D frequency spectrum. The results show that the assembly error has impacts on dynamic response, and the region of chaotic motion near resonance frequency broadens. Beyond that, an experiment is setup, and acceleration signals with different excitation frequencies and different excitation amplitudes are collected to validate the proposed model.
机译：在该研究中，开发了一种自由度动态模型以研究滚珠丝杠进给系统的非线性动态特性。第四阶runge-Kutta方法用于获得控制方程的数值解。在所提出的动态模型中，系统的装配误差被认为是螺杆轴的几何中心周围的偏转角。通过位移波形，频谱，相图和庞加拉部分，说明了系统在每个点处的运动。激励幅度和装配误差的影响用激励幅度，偏转角和激发频率作为分岔图和3-D频谱中的控制参数讨论。结果表明，装配误差对动态响应产生影响，并且谐振频率附近的混沌运动区域拓宽。除此之外，采用实验，收集具有不同激励频率和不同激励幅度的加速信号以验证所提出的模型。

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  • 来源
    《Mechanical systems and signal processing》 |2021年第8期|107717.1-107717.24|共24页
  • 作者

    Zhendong Liu; Mengtao Xu; Hongzhuang Zhang; HuiHui Miao; Zhenyuan Li; Changyou Li; Yimin Zhang;

  • 作者单位

    School of Mechanical Engineering and Automation Northeastern University Shenyang 110819 China;

    School of Mechanical Engineering and Automation Northeastern University Shenyang 110819 China;

    School of Mechanical Engineering and Automation Northeastern University Shenyang 110819 China;

    School of Mechanical Engineering and Automation Northeastern University Shenyang 110819 China;

    School of Mechanical Engineering and Automation Northeastern University Shenyang 110819 China;

    School of Mechanical Engineering and Automation Northeastern University Shenyang 110819 China;

    Equipment Reliability Institute Shenyang University of Chemical Technology Shenyang 110142 China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Feed system; Dynamic characteristic; Multi-degree of freedom; Global bifurcation;

    机译：饲料系统;动态特征;多程度的自由;全球分叉;

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