弹性矩形薄板问题的辛几何法

Solute elastic rectangular thin plate by symplectic geometry method

利用辛几何的方法推导出了求解弹性矩形薄板问题的理论解 ,为寻求在各种边界条件下这类问题的解析解奠定了理论基础 .

In this paper, the analytical solution to elastic rectangular thin plate is derived by symplectic geometry method. Therefore, the theory foundation for solving this kind of problem with general supporting conditions is set up. Finally, the numerical examples are presented for comparing and proving the correction of formulations.