摘要
以由中心刚体与弹性梁构成的刚柔耦合系统为对象 ,对比研究了一次近似和传统零次近似这两种耦合动力学模型在同一问题上表现出来的不同性质 .首先从变形理论出发 ,导出了在结构动力学中被忽略的变形位移的二次耦合项 ,建立了由中心刚体与弹性梁构成的刚柔耦合系统的一次近似动力学模型 .通过计算反例 ,揭示了对于刚柔耦合多体系统 ,即使没有大范围旋转运动提供的强离心场 ,在某些条件下零次近似模型也不能正确描述柔性体的刚柔耦合动力学性质 。
Based on the deformation theory, the dynamic equations of the flexible beam attached to a central rigid body were formulated by use of Hamilton's variational principle. The important coupling effects between large overall motions and concurrent elastic deformation of flexible body are accounted for. These terms are always neglected in structural dynamics. Two models were presented: the zero-order coupling model and the one-order coupling model. The coupling dynamic properties of this rigid-flexible system were analyzed. The simulation results show that even in the case of lower rotational speed, the zero-order model may also lead to the erroneous result.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2002年第11期1591-1595,共5页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金重点资助项目 (1983 2 0 40 )
高等学校博士学科点专项科研基金资助项目 (2 0 0 0 0 2 4818)
关键词
柔性梁
刚柔耦合动力学
数学模型
Computer simulation
Couplings
Dynamics
Flexible structures
Mathematical models
