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On Equations of Motion of Elastic Linkages by FEM

机译:有限元分析弹性连杆机构的运动方程

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摘要

Discussion on equations of motion of planar flexible mechanisms is presented in this paper. The finite element method (FEM) is used for obtaining vibrational analysis of links. In derivation of dynamic equations it is commonly assumed that the shape function of elastic motion can represent rigid-body motion. In this paper, in contrast to this assumption, a model of the shape function specifically dedicated to the rigid-body motion is presented, and its influence on elastic motion is included in equations of motion; the inertia matrix related to the rigid-body acceleration vector depends on both shape functions of the elastic and rigid elements. The numerical calculations are conducted in order to determine the influence of the assumed shape function for rigid-body motion on the vibration of links in the case of closed-loop and open-loop mechanisms. The results of numerical simulation show that for transient analysis and for some specific conditions (e.g., starting range, open-loop mechanisms) the influence of assumed shape functions on vibration response can be quite significant.
机译:本文讨论了平面柔性机构的运动方程。有限元方法(FEM)用于获得连杆的振动分析。在推导动力学方程式时,通常假设弹性运动的形状函数可以表示刚体运动。与该假设相反,本文提出了专门用于刚体运动的形状函数模型,并将其对弹性运动的影响包括在运动方程中。与刚体加速度矢量有关的惯性矩阵取决于弹性和刚体的形状函数。进行数值计算,以确定在闭环和开环机构情况下,假设的形状函数对刚体运动对链节振动的影响。数值模拟结果表明,对于瞬态分析和某些特定条件(例如,起始范围,开环机制),假定形状函数对振动响应的影响可能非常显着。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第3期|648706.1-648706.10|共10页
  • 作者

    Michal Hac;

  • 作者单位

    Institute of Machine Design Fundamentals, Warsaw University of Technology, Narbutta 84, 02-524 Warsaw, Poland;

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