G. Zou, AN EXACT SYMPLECTIC-GEOMETRY SOLUTION FOR THE STATIC AND DYNAMIC ANALYSIS OF REISSNER PLATES, Computer methods in applied mechanics and engineering, 156(1-4), 1998, pp. 171-178
From the mixed variational principle, by selection of the variables an
d its dual variables, the Hamiltonian canonical equation for the stati
cs and dynamics analysis of Reissner plates is derived, so it leads th
e problem to the mathematical frame of symplectic geometry and its alg
orithms, and the exact solution for the arbitary boundary conditions i
s also derived by the adjoint ortho-normalized symplectic expansion me
thod. (C) 1998 Elsevier Science S.A.