Complementary variational principles in elastodynamics

Abstract Commencing from two forms of virtual work Hamilton's principle and its complementary form are derived for discrete systems. Hamilton's principle is then applied to the elastodynamic problem of continuous media and it is shown how this principle can be modified to yield the generalisations of some well known variational principles of elastostatics to the dynamic regime. The application of the complementary energy procedure is illustrated and some salient features of this method, for the free vibration eigenvalue problem, are discussed.

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