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.