摘要
作为笔者在文献[1,2,3]中提出的“导数空间”和导数空间中“相当动能”的概念及“将非完整系统变为形式上的完整系统处理”思想的具体应用,本文导出了又一类新型的万有D′Alembert原理及适用于任意阶非完整系统的新型的Maggi方程,并给出了应用此方程的算例。
As a concrete application of the concepts of "derivative space" and "correspondent kinetic energy" in derivative space, and of the thought of "treating non-holonomic systems by changing them into formal holonomic systems" which, the authors have previously proposed in references [1, 2, 3], this paper derived another new universal D'Alembert principle and a new Maggi equation for arbitrary order nonholonomic mechanical systems, An example using the Maggi equation is given.
出处
《应用数学和力学》
CSCD
北大核心
1996年第12期1101-1105,共5页
Applied Mathematics and Mechanics
关键词
导数空间
非完整系统
Maggi方程
达朗伯尔原理
derivative space
correspondent kinetic energy
nonholonomir system
formal holonomic system
universal D'Alembert principle
new Maggi equation