摘要
本文将哈密尔顿体系引入到极坐标下的弹性力学平面问题．利用该体系辛空间的正交归一等性质，将问题化为本征值和本征向量求解上，从而改变了弹性力学传统的半道法解决问题的思路，建立了一条求解该类问题的直接法．
In this paper, the Hamiltonian structure is introduced into the plane elastic problem in polar coordinate formulation. Based on the properties of adjoint symplectic orthonormalization relationship of symplectic mathematics, the direct solution is first to find the eigenvalues and their respective eigenfunction vectors of the Hamiltonian operator matrix.Thus, the traditional considerations of semi-inverse method in elasticity is updated with the new eirect method.
出处
《工程力学》
EI
CSCD
1996年第4期1-8,共8页
Engineering Mechanics
基金
国家自然科学基金
教委博士点基金
关键词
弹性
哈密尔顿体系
曲梁
本征值
elasticity
Hamiltonian stracture, curved beam, eigenvalue problem.
