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Science in China Series A: Mathematics

, Volume 42, Issue 12, pp 1332–1339 | Cite as

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

  • Lifu Liang
Article

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.

Keywords

nonholonomic system holonomic system two kinds of variables generalized variational principle generalized variational principle with subsidiary condition 

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Copyright information

© Science in China Press 1999

Authors and Affiliations

  • Lifu Liang
    • 1
  1. 1.Harbin Engineering UniversityHarbinChina

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