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An Evolutionary Analytic Method of Multi-DOF Nonlinear Coupling Dynamic Model for Controllable Close-Chain Linkage Mechanism System

机译:可控近链连杆机构系统多自由度非线性耦合动力学模型的演化解析方法

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摘要

The 2-DOF controllable close-chain linkage mechanism is investigated in this paper. Based on the characteristics of the multi-DOF nonlinear coupling dynamic equation of the system established by the finite element method, an analytic method of multiple-scales Newmark is presented after thinking about the method of perturbation and the method of numerical analysis. Firstly, the first-order approximate solution of the dynamic responses of the system at the time of t is calculated by the multiple scales method. Then, taken the first-order approximate solution as the initialization of the generalized coordinate of the system, the stable dynamic response of the system is obtained by the implicit Newmark method. The simulation and experimental results are given in the end. The studies indicate that the method of multiple-scales Newmark is correct and practicable to study the dynamic characteristics of such kind of multi-DOF nonlinear coupling system.
机译:研究了2-DOF可控的闭链连接机理。基于有限元方法建立的系统多自由度非线性耦合动力学方程的特点,在考虑摄动方法和数值分析方法的基础上,提出了一种多尺度Newmark的解析方法。首先,通过多尺度方法计算出系统在t时刻的动态响应的一阶近似解。然后,以一阶近似解作为系统广义坐标的初始化,通过隐式Newmark方法获得系统的稳定动力响应。最后给出了仿真和实验结果。研究表明,采用多尺度Newmark方法研究这种多自由度非线性耦合系统的动力学特性是正确可行的。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第2期|p.1-17|共17页
  • 作者单位

    College of Mechanical Engineering, Guangxi University, Nanning 530004, China,Guangxi Key Laboratory of Manufacturing System & Advanced Manufacturing Technology, College of Mechanical Engineering, Guangxi University, Nanning 530004, China;

    College of Mechanical Engineering, Guangxi University, Nanning 530004, China;

    College of Mechanical Engineering, Guangxi University, Nanning 530004, China;

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