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非完整树形多刚体系统的动力学方程
Formulation of Dynamical Equations for Nonholonomic Tree-Shaped Multi-Rigid-Body Systems
【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。
【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.
- 【文献出处】 南京理工大学学报(自然科学版) ,Journal of Nanjing University of Science and Technology , 编辑部邮箱 ,1985年01期
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