ADVANCES OF THE STUDIES ON CHAPLYGIN'S EQUATIONS
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摘要: 本文给出非完整力学系统方程的研究进展，包括方程形式的推广，方程的代数表示与几何表示，方程的积分理论，动力学逆问题，运动稳定性等方面的近年研究成果，并指出未来研究的几个方向．Abstract: This paper presents some recent developments of the studies on theChaplygin's equations of nonholonomic mechanical. systems, which include the generalizations of the form of the equations, their algebraic and geometricrepresentations, integration theory of the equations,inverse problem of dynamics,stability of motion.This paper also offers some suggestions for a futureinvestigation.
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Key words:
- analytical mechanics /
- nonholonomic system /
- Lie algcbra /
- symplectic geometry /
- integral /
- stability
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