中国空间科学技术

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梁式构件动力学响应分析的集总参数方法

阎绍泽,吴德隆,黄铁球,刘又午,张大钧   

  1. 北京宇航系统工程设计部,天津大学
  • 发布日期:1998-04-25

DYNAMICS OF BEAM LIKE MEMBER: LUMPED PARAMETER METHOD

Yan Shaoze Wu Delong Huang Tieqiu (Beijing Institute of Astronautical Systems Engineering,Beijing 100076) Liu Youwu Zhang Dajun (Tianjin University,Tianjin 300072)   

  • Published:1998-04-25
  • Supported by:
    中国航天工业总公司博士后科学基金,国家863高技术项目资助课题

摘要： 详尽阐述了一种适用于梁式构件动力学响应分析的集总参数方法——有限段方法。采用有限段方法建立柔性梁式构件的离散模型，基于Ｋａｎｅ方程的Ｈｕｓｔｏｎ方法建立柔性多体系统动力学方程。该方程计入了梁式构件的几何非线性变形的惯性影响，在求解过程中，引入了相对位移的模态变换以提高计算效率。通过典型实验验证了有限段方法可以解决具有几何非线性变形的柔性梁式构件的多体系统动力学问题。

关键词: 梁式构件, 柔性体, 有限段法, 集总参数测量

Abstract: The lumped parameter dynamic method of beam like members,the finite segment method,is analyzed and reviewed in detail.The dynamic equations of multibody systems are developed by means of Huston's method based on Kane's equations.The finite segment method is adopted to establish the models of the beam like members.The inertia effects of the nonlinear deformations of the beams are taken into account,and the mode transformation of relative displacements isintroduced into the calculating process to increase the efficiency.A typical experimental result verifies that the foregoing method can be used for dynamic analysis of multibody systems with the beams undergone nonlinear deformations.