力学与实践 ›› 1999, Vol. 21 ›› Issue (6): 21-24.DOI: 10.6052/1000-0879-1999-185

• 应用研究 • 上一篇    下一篇

考虑刚弹耦合作用的柔性多体连续系统动力学建模

刘才山 陈滨 王示   

  1. 北京大学力学与工程科学系,100871 北京大学力学与工程科学系,100871 山东建筑工程学院土木系
  • 收稿日期:2006-07-26 修回日期:1900-01-01 出版日期:1999-12-10 发布日期:1999-12-10

THE DYNAMIC MODELLING FORFLEXIBLE MULTI-BODYS AS ACONTINUOUS SYSTEMCONSIDERING THE COUPLINGEFFECTS

  • Received:2006-07-26 Revised:1900-01-01 Online:1999-12-10 Published:1999-12-10

摘要: 基于Hamilton原理建立起一般柔性体连续系统的动力学建模方法,进而以水平面内作大范围回转运动的柔性梁为例,在Euler-Bernoulli梁模型的假设前提下,根据轴向不可伸长的柔性梁的几何约束条件;推导出作大范围刚体运动的柔性梁连续系统的一致线性化振动微分方程.采用假设模态法对其离散化,导出考虑刚弹耦合作用的柔性梁有限维离散化动力学模型.最后给出仿真算例,验证了该方法的有效性.

关键词: Hamilton原理, 柔性多体系统动力学, 刚弹耦合, 建模

Abstract: In this paper,based on the Hamilton'sprinciple, a consistent linear dynamic model in con-tinuous form of a general flexible body is derived.Tile finite dimensions dyllalnic equations considering the effect of the coupling of rigid motion andelastic vibratiolls is obtailled by using mode sumption method. This research explains the phe-nomenon of dynamic stiffening due to the couplingbetween rigid motion and elastic deflection. Thevalidity of the theories presented in this paper isverified by a numerical sim...

Key words: Hamilton principle, dynamic stiffness, multi-body flexible dynamics