DYNAMICS OF MULTI-DEFORMABLE BODIES

摘要/Abstract

摘要： 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.

关键词: water, carbon nanotube, single-file water chain, Lennard-Jones (LJ) interaction

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.

Key words: water, carbon nanotube, single-file water chain, Lennard-Jones (LJ) interaction

洪善桃. DYNAMICS OF MULTI-DEFORMABLE BODIES[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(1): 37-50.

Hong Shan-tao . DYNAMICS OF MULTI-DEFORMABLE BODIES[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(1): 37-50.

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