Szebehely’s Problem for Nonholonomic Systems with a Given First Integral
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摘要: 研究非完整系统动力学的一类逆问题.给出非完整系统的运动方程及其显式,考虑一类仅受齐次非完整约束的力学系统的Szebehely问题,研究已知一类第一积分的一般非完整系统的情形.最后举例说明其应用.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.
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Key words:
- analytical mechanics /
- nonholonomic system /
- inverse problem
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[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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