关于弹性回转体问题的直接方法

Direct method for problem of body of revolution in elasticity

基于哈密顿体系辛几何空间，建立一套解决弹性回转体问题的直接方法．可以证明所有的轴对称问题和反轴对称问题相互解耦，而且它们的解都属于哈密顿算子矩阵的零本征解；加上非零本征解从而形成完备的解空间．得到一些问题的完备解．

On the basis of Hamiltonian systematic methodology in symplectic space, a direct method for elastic problems of revolutionary body is found. It is proved that the axisymmetric problems are not coupled with anti axisymmetric problems and all of their solutions are the sum of zero eigensolutions and non zero eigensolutions of Hamiltonian operational matrix. All the solutions of the elastic problems of revolutionary body can be found in the complete solution space composed by the eigensolution of Hamiltonian operational matrix