## 留言板

 引用本文: 胡振东, 洪嘉振. 刚柔耦合系统动力学建模及分析[J]. 应用数学和力学, 1999, 20(10): 1087-1093.
Hu Zhendong, Hong Jiazhen. Modeling and Analysis of a Coupled Rigid- Flexible System[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1087-1093.
 Citation: Hu Zhendong, Hong Jiazhen. Modeling and Analysis of a Coupled Rigid- Flexible System[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1087-1093.

## 刚柔耦合系统动力学建模及分析

###### 作者简介:胡振东(1964~ ),男,博士,副教授,通信址:同济大学工程力学系,上海 200092.
• 中图分类号: O313.7

## Modeling and Analysis of a Coupled Rigid- Flexible System

• 摘要: 准确预测经历大范围刚体运动和弹性变形的柔性体的行为,是当前柔性多体系统动力学领域关注的主要课题.基于线性理论的传统方法由于无法计及动力刚化效应,导致在许多实际应用中得到错误的结果.本文从离心力势场的概念出发,应用Hamilton原理建立了具有动力刚化效应的刚柔耦合系统的运动方程,证明了该方程解的周期性,并采用了Frobenius方法给出了其精确解的一般形式.通过算例分析了刚体运动对弹性运动的模态和频率的影响.
•  [1] Kane T R,Ryan R R,Banerjee A K.Dynamics of a cantilever beam attached to a moving base[J].J Guid Control and Dynamics,1987,10(2):139～151. [2] Bloch A M.Stability analysis of a rotating flexible system[J].Acta Applicandae Mathematicae,1989,17(1):211～234. [3] Zhang D J,Huston R L.On dynamic stiffening of flexible bodies having high angular velocity[J].Mech Struct & Mach,1996,24(3):313～329. [4] Simo J C,Vu-Quoc L.The role of non-linear theory in transient dynamic analysis of flexible structures[J].J Sound and Vibration,1987,119:487～508. [5] Simo J C,Vu-Quoc L.On the dynamics of flexible bodies under large overall motion——the plane case,Parts Ⅰ and Ⅱ[J].J Appl Mech,1986,53:849～869. [6] Haering W J,Ryan R R,Scott R A.New formulation for flexible beams undergoing large overall plane motion[J].J Guid Control and Dynamics,1994,17:76～83.

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##### 出版历程
• 收稿日期:  1997-10-06
• 修回日期:  1998-04-01
• 刊出日期:  1999-10-15

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