Szebehely’s Problem for Nonholonomic Systems with a Given First Integral

Zhu Haiping

Volume 19 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(9): 785-790

Zhu Haiping. Szebehely’s Problem for Nonholonomic Systems with a Given First Integral[J]. Applied Mathematics and Mechanics, 1998, 19(9): 785-790.

Citation:

Zhu Haiping. Szebehely’s Problem for Nonholonomic Systems with a Given First Integral[J]. Applied Mathematics and Mechanics, 1998, 19(9): 785-790.

Citation:

Zhu Haiping. Szebehely’s Problem for Nonholonomic Systems with a Given First Integral[J]. Applied Mathematics and Mechanics, 1998, 19(9): 785-790.

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Szebehely’s Problem for Nonholonomic Systems with a Given First Integral

Zhu Haiping

Department of Mechanics, Peking University, Beijing 100871, P.R.China

Received Date: 1997-01-20
Rev Recd Date: 1998-04-10
Publish Date: 1998-09-15

Abstract

Abstract

An inverse problem for nonholonomic systems is studied.The equations of motion of nonholonomic systems are given,and the Szebehely's problem for a mechanical system with homogeneous nonholonomic constraints is considered,and the general nonholonomic systems with a given first integral are studied.
- analytical mechanics,
- nonholonomic system,
- inverse problem

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References(6)

References

[1]	B.Erdi,Generalization of Szebehely's equation for three dimensions,Celest.Mech.,28(2) (1982),209-218.
[2]	A.Melis and B.Prias,An Extension of Szebehely's problem to holonomic systems,Celest.Mech.,32 (1) (1984),87-92.
[3]	A.Melis and F.Borghero,On Szebehely's problem extended to holonomic systems with a given integral of motion,Meccanica,21(1) (1986),71-74.
[4]	G.Bozis and R.Mertns,On Szebehely's inverse problem for a particle describing orbits on a given surface,ZAMM,65(3) (1985),383-384.
[5]	朱海平、梅凤翔,Szebehely问题对非完整系统的一个推广,非线性动力学学报,2(1) (1995),76-82.
[6]	梅凤翔,《非完整系统动力学基础》,北京工业学院出版社,北京(1985).

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