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

Zhang Shuhong; Liang Tianling

Volume 17 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(12): 1101-1105

Zhang Shuhong, Liang Tianling. Another Class D’Alembert Principle and a New Maggi Equation for Arbitrary Order Nonholonomic Mechanical Systems in Derivative Space[J]. Applied Mathematics and Mechanics, 1996, 17(12): 1101-1105.

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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

Received Date: 1995-06-23
Rev Recd Date: 1996-01-11
Publish Date: 1996-12-15

Abstract

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,

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References

[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).