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Deriving generalized variational principles in general mechanics by using Lagrangian multiplier method

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Abstract

By using the involutory transformations, the classical variational principle—Hamiltonian principle— of two kinds of variables in general mechanics is advanced and by using undetermined Lagrangian multiplier method, the generalized variational principles and generalized variational principles with subsidiary conditions are established. The stationary conditions of various kinds of variational principles are derived and the relational problems discussed.

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Authors and Affiliations

  1. Harbin Engineering University, 150001, Harbin, China

    Lifu Liang

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  1. Lifu Liang
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19872022) and the Doctoral Education Foundation of China (Grant No. 97021710).

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Liang, L. Deriving generalized variational principles in general mechanics by using Lagrangian multiplier method. Sci. China Ser. A-Math. 42, 1332–1339 (1999). https://doi.org/10.1007/BF02876035

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  • DOI: https://doi.org/10.1007/BF02876035

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