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DYNAMICS OF NONHOLONOMIC SYSTEMS

机译:非完整系统的动力学

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摘要

The present paper considers Hamel's equations of motion for nonholonomic systems in terms of pseudo-coordinates and gives an efficient method (for definiteness it is called Hamel's method) for obtaining the reaction forces. The group of the nonholonomic operators is defined and its group structural constants are given. On the basis of the geometrical language it is outlined how the equations of motions are simplified when the system dynamics is considered in the tangent space of the configurational manifold. [References: 29]
机译:本文从伪坐标的角度考虑了非完整系统的哈默尔运动方程,并给出了一种获得反作用力的有效方法(在确定性上称为哈默尔方法)。定义了非完整算子的组,并给出了其组结构常数。在几何语言的基础上,概述了在构型流形的切线空间中考虑系统动力学时如何简化运动方程。 [参考:29]

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