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非完整树形多刚体系统的动力学方程
引用本文:王克明.非完整树形多刚体系统的动力学方程[J].南京理工大学学报(自然科学版),1985(1).
作者姓名:王克明
作者单位:华东工学院理力教研室
摘    要:本文用Jourdain原理及图论的一些基本概念导出非完整树形多刚体系统动力学方程,当约束是完整的且广义坐标相互独立时则得到Wittenburg的动力学方程,最后也由该原理得到Kane方程。

关 键 词:树形  刚性结构  动力学方程

Formulation of Dynamical Equations for Nonholonomic Tree-Shaped Multi-Rigid-Body Systems
Wang Keming.Formulation of Dynamical Equations for Nonholonomic Tree-Shaped Multi-Rigid-Body Systems[J].Journal of Nanjing University of Science and Technology(Nature Science),1985(1).
Authors:Wang Keming
Institution:Wang Keming
Abstract:This paper derives the generalized dynamical equations fornonholonomic tree-shaped multi-rigid-body systems with Jourdain-Bertrand'sprinciple. when they are used to holonomic systems and the generalized coor-dinates are independent the equations are same as the equations derived by J.Wittenburg. Finally, Kane's equation is derived with this principle in thepaper.
Keywords:Trees  Rigid Structures  Kinetic Equation
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