多变形体体系动力学

Dynamics of Multi-Deformable Bodies

摘要: 无论对于刚体或是变形体,Gibbs-Appell方程是建立动力方程的行之有效的工具.本文将采用Gibbs-Appell方程来建立多变形体体系的动力方程.我们将指出采用该方法的优越性.文中给出了具有显式表达的多变形体体系的动力方程.此外也采用了一些新的及近代发展的概念,诸如欧拉参数,准坐标及相对坐标等.

Abstract: The Gibbs-Appell equations provide what is the powerful tool to formulate equations of motion not only for rigid-body, but also for deformable body. The application of the Gibbs-Appell equations in formulating equations of motion ofmulti-deformable hoodies is developed and exploited in this paper. The advantages of using Gibbs-Appell equation are shown herein. Equations of motion of multi-deformable bodies with explicit form have been obtained and their physical meaning is apparent. In addition, recently developed new ideas are also employed. These ideas include the use of Euler parameters, quasi-coordinates, and relative coordinates.

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