ADVANCES IN INTEGRATION METHODS FOR MECHANICS OF NONHOLONOMIC SYSTEMS
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摘要: 本文介绍非完整系统力学积分理论的某些近代发展,包括经典积分的推广,Lagrange力学逆问题,Hamilton-Jacobi方法的推广,场方法的推广,不变度量方法以及其它方法,并给出本问题未来发展方向的建议.
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关键词:
- 非完整系统 /
- 经典积分 /
- Hamilton-Jacobi方法 /
- 场方法 /
- 不变度量
Abstract: This paper presents some recent developments in integration methods for mechanics of nonholonomic systems,which include the generalizations of classical integrals, inverse problem of Lagrange's mechanics, Hamilton-Jacobi method, field method, invariant measure method and other methods. Finally, this paper puts forward some suggestions for future investigation.-
Key words:
- nonholonomic system /
- classical integrals /
- Hamilton-Jacobi method /
- field method /
- invariant measure
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