导数空间另一类D’Alembert原理及任意阶非完整系统的新型Maggi方程  

Another Class D'Alembert Principle and a New Maggi Equation for Arbitrary Order Nonholonomic Mechanical Systems in Derivative Space

作　　者：张曙红[1] 梁天麟 

机构地区：[1]昆明理工大学建工及力学系,昆明650093

出　　处：《应用数学和力学》1996年第12期1101-1105,共5页Applied Mathematics and Mechanics

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.

关 键 词：导数空间 非完整系统 Maggi方程 达朗伯尔原理 

分 类 号：O316[理学—一般力学与力学基础]