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On the Generalized Chaplyqins Eqvations of the Mechanical Systems With Non-holonomic Constraints of Arbitrary Order
Pages: 17-29
Year: Issue:  2
Journal: Transactions of Beijing Institute of Technology

Keyword:  力学系统非完整约束分析力学广义坐标自动控制理论变分原理运动微分方程约束方程引力场引力常数;
Abstract: It becomes necessary to study systems with non-holonomic Constraints ofsecond order and higher order with the developement of the theory of avtomatic regvlation and automltic control. Bulgarian scholar B. Dolaptchrew obtained the generalized Tzenoff’s egvations of mechanical systems with non-holonomic constraints of arbitrary Order in 1966 .In this paper, Usrng the D’Alembert’s Universal Principle, new eqvationsof mechanical systems with non-holonomic constraints of arbitrary orddr-thegeneralized Chapligin’s Egvations-arc obtained. These egvations are validnatvrally for mechanical systems with non-holonomic constraints of. first order and second order. Finally, two examples are given .
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