On the Stability 0f Nonholonomic Mechanical Systems with Respect to Partial Variables

Zhu Hai-ping; Mei Feng-xiang

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(3): 225-233

Zhu Hai-ping, Mei Feng-xiang. On the Stability 0f Nonholonomic Mechanical Systems with Respect to Partial Variables[J]. Applied Mathematics and Mechanics, 1995, 16(3): 225-233.

Citation:

Zhu Hai-ping, Mei Feng-xiang. On the Stability 0f Nonholonomic Mechanical Systems with Respect to Partial Variables[J]. Applied Mathematics and Mechanics, 1995, 16(3): 225-233.

Citation:

Zhu Hai-ping, Mei Feng-xiang. On the Stability 0f Nonholonomic Mechanical Systems with Respect to Partial Variables[J]. Applied Mathematics and Mechanics, 1995, 16(3): 225-233.

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On the Stability 0f Nonholonomic Mechanical Systems with Respect to Partial Variables

Beijing University of Science and Technology, Beijing 100081

Received Date: 1994-08-29
Publish Date: 1995-03-15

Abstract

Abstract

In this paper,a method to study the stability of nonholonomic systems with respect to partial variables is given and several stability theorems of nonholonomic systems with respect to partial variables are obtained. Moreover,a relationship between the stability of a nonholonomic system with respect to all variables and thatto partial variables is obtained.
- nonholonomic system,
- stability with respect to partial variables,
- constraint manifold,

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References(9)

References

[1]	Whittaker,E,T.,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies,Cambridge Univ,Press,Eng,(1904).
[2]	Румянцев B,B.,Об устойчивости движения неголоных систем,ПММ,31(2) (1967). 260-271.
[3]	Mikhailov,G,K,and V,Z.Parton,Applied Mechanics,Soviet Reviews,Hemisphere Publishing Corporation,New York,1(1990),61-91.
[4]	Румянцев B.B.,Об асимцттической устойчивости и неутойчивости движения цо отншению к частн перменных,ПММ,35(1971).138-143.
[5]	梅凤翔,关于非线性非完整系统平衡状态的稳定性,科学通报,37((1)(1992),82-85.
[6]	梅凤翔,非完整系统的平衡位置及其稳定性,《稳定振动分叉与混沌研究》,中国科学技术出版社,北京(1992),25-33.
[7]	梅凤翔,《非完整系统力学基础》.北京工业学院出版社,北京(1985)
[8]	朱海平、梅凤翔,一类非完整系统关于部分变元稳定性与关于全部变元稳定性的关系.科学通报39(2)(1994),129-132.
[9]	王照林,《运动稳定性及其应用》.高等教育出版社,北京(1992),143-167.