两种刚柔耦合动力学模型的对比研究

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了的强离心场，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，而一次近似动力学模型却能得到符合实际情况的结果。

Study on Two Dynamic Models for a Rigid-Flexible Coupling System

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.