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导数空间的万有D′Alembert原理及其任意阶非完整系统运动方程
The Universal D’Alembert Principle in Derivative Space and Equation of Motion for Any Order Nonlinear Nonholonomic Systems
【摘要】 继续应用笔者在文献提出的导数空间的概念、将非完整系统变为形式上完整系统的思想及其所得到的结论,导出了导数空间的万有D′Alembert原理,并由此原理得到一类任意阶非完整系统的运动微分方程。
【Abstract】 By using the concept of derivative space, the thought of transforming nonholonomic systems into holonomic systems in derivative space relatively and the conclusion in the reference [1,2,3], we derived the universal D’Alember principle in derivative space, used it, and obtained a class equation of motion for any order nonlinear nonholonomic systems suitably.
【关键词】 非线性非完整系统;
导数空间;
导数空间广义坐标;
形式上的完整系统;
【Key words】 Nonlinear nonholonomic systems; Derivative space; Generalized coordinates, Formal holonomic systems.;
【Key words】 Nonlinear nonholonomic systems; Derivative space; Generalized coordinates, Formal holonomic systems.;
【基金】 云南省应用基础基金
- 【文献出处】 昆明工学院学报 , 编辑部邮箱 ,1992年03期
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