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Differential variational principles of mechanical systems in the event space. (Chinese. English summary) Zbl 1150.70344

Summary: 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 equations for these principles are given, and the parametric form of Mangeron-Deleanu equations is derived for the universal D’Alembert principle.

MSC:

70H30 Other variational principles in mechanics
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
70G75 Variational methods for problems in mechanics
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