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

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

Department Architectural Engineering, Kunming University of Science and Technology, Kunming 650093, P. R. China

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。
- 导数空间 /
- 相当动能 /
- 非完整系统 /
- 形式上的完整系统 /
- 万有D′Alembert原理 /
- 新型Maggi方程
Abstract: As a concrete application of the concepts of "derivative space" and"correspondent kinetic energy" in derivative space, and of foe thought of "treatingnonholonomic systems by changing them into formal holonomic system" which theauthors have previously proposed in references [1, 2, 3]. this paper derived another newuniversal D'Alembert principle and a new Maggi equation for arbitrary ordernonholonomic mechanical systems. An example using the Maggi equation is given.
- derivative space /
- correspondent kinetic energy /
- nonholonomicsystem. formal holonomic system /
- universal D’Alembertprinciple /
- new Maggi equation /

[1]	梁天麟、张曙红,导数空间任意阶非完整系统的APPELL型方程及广义的D' Alembert原理,昆明工学院学报,(1)(1992).
[2]	梁天麟,导数空间的万有D' Alembert原理及任意阶非完整系统的运动方程,科学通报,(24)(1992).
[3]	梁天麟,建立非线性非完整力学系统数学模型的一种新方法(A new method of establishing the mathematical model for arbitrary nonlinear nonholonomic system),《北京第二属国际非线性力学会议论文集》,(ICN M-2,Beijing)(1993).
[4]	吴镇,《分析力学》,上海交通大学出版社(1984).