关键词: micro/nano curved surface, curvature, driving force, classical gradient, shape gradient

Abstract: In the present paper, we first by Laplace transform present a derivation of principle of transformed virtual work, three principles of minimum transformed energy with influence of rotatory enertiafor dynamics of anisotropic linear elastic plates with three generalized displacements. Moreover, the forms with the original in place-time domain corresponding these variational principles are presented.Then by the introduction of the set of admissible weight functions the three minimum principles for the original place-time domain are derived.In each of the preceding groups of the variational principles there are two which are the dynamic counterparts to the static principles of minimum potetial energy and minimum complementary energy; the other principles are formulated in terms of the internal force alone, but have no counterpart in elastostatics of plates.

Key words: micro/nano curved surface, curvature, driving force, classical gradient, shape gradient