Unconventional Hamilton-Type Variational Principles For Dynamics of Reissner Sandwich Plate

According to the basic idea of classical yin_yang complementarity and modern dual_complementarity,in a simple and unified way proposed by Luo(1987),some unconventional Hamilton_type variational principles for dynamics of Reissner sandwich plate can be established systematically.The unconventional Hamilton_type variation principle can fully characterize the initial_boundary_value problem of this dynamics.An important integral relation is given,which can be considered as the generalized principle of virtual work in mechanics.Based on this relation,it is possible not only to obtain the principle of virtual work,in dynamics of Reissner sandwich plate,but also to derive systematically the complementary functionals for five_field,two_field and one_field unconventional Hamilton_type variational principles by the generalized Legendre transformations.Furthermore,with this approach,the intrinsic relationship among the various principles can be explained clearly.