论文部分内容阅读
From the mixed variational principle,by the selection of the state variables and its dualvariables,the Hamtltonian canonical equation for the dynamic analysis of shear deformable antisym-metric angle-ply laminated plates is derived,leading to the mathematical frame of symplectic geometryand algorithms,and the exact solution for the arbitrary boundary conditions is also derived by the ad-joint orthonormalized symplectic expansion method.Numerical results are presented with the emphasison the effects of length/thickness ratio,arbitrary boundary conditions,degrees of anisotropy,numberof layers,ply-angles and the corrected coefficients of transverse shear.
From the mixed variational principle, by the selection of the state variables and its dualvariables, the Hamtltonian canonical equation for the dynamic analysis of shear deformable antisym-metric angle-ply laminated plates is derived, leading to the mathematical frame of symplectic geometry and algorithms, and the exact solution for the arbitrary boundary conditions is also derived by the ad-joint orthonormalized symplectic expansion method. Numerical results are presented with the emphasis on the effects of length / thickness ratio, arbitrary boundary conditions, degrees of anisotropy, number of layers, ply-angles and the corrected coefficients of transverse shear.