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物理学报  2007 

Differential variational principles of mechanical systems in the event space
事件空间中力学系统的微分变分原理

Keywords: analytical mechanics,event space,differential variational principle
分析力学
,事件空间,微分变分原理

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Abstract:

In this paper, the differential variational principles of mechanical systems in the event space are studied. The D'Alembert-Lagrange principle, the Jourdain principle, the Gauss principle and the universal D'Alembert principle in the event space are established on the basis of the D'Alembert principle of the system. The parametric forms of Euler-Lagrange, Nielsen and Appell for these principles are given, and the parametric form of Mangeron-Deleanu for the universal D'Alembert principle is deduced.

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