【摘要】 为了采用辛算法求出弹性矩形板问题的解析解,文中直接从弹性矩形板的控制方程出发推导了弹性矩形板,其中包括弹性矩形薄板和厚板问题以及弹性地基上矩形薄板和厚板问题的Hamilton正则方程,为利用辛几何方法求出任意边界条件下这类问题的理论解奠定了基础.更多还原

【Abstract】 The canonical Hamiltonian equations for elastic rectangular thick or thin plate, also including plate on the elastic foundation, are derived. In the deriving procedures, only the basic equations of rectangular plate are used. From the Canonical Hamiltonian equations of elastic rectangular thick or thin plate, the analytical solutions with arbitrary boundary conditions could be obtained by the method of symplectic geometry.更多还原