非完整系统动力学方程的一种“用户友好”方法
A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems
摘要:
给出了两种有效的非完整系统动力学方程的书写方法。它们基于两种类型的约束表示:通过参数方程或通过隐式方程。它们既可应用于线性约束,也可应用于非线性约束。只需要欧几里得三维空间和切丛上向量微积分的基本概念。举例说明了基本的例子。
英文摘要:
Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. They can be applied to linear as well as to non-linear constraints. Only the basic notions of vector calculus on Euclidean 3-space and on tangent bundles are needed. Elementary examples are illustrated.
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