摘要
把在本文第(Ⅰ)部分中讲述的基本原理和方法用于求解各向异性平面问题.先建立可进入Hamilton体系的广义变分原理,求出Hamilton微分算子矩阵,再求解横向本征解,可得到矩形域各向异性线性弹性平面问题的级数解和半解析解.
The fundamental theory presented in Part (I)[8] is used to analyze anisotropic plane stress problems. First we construct the generalized variational principle to enter Hamiltonian system and get Hamiltonian differential operator matrix; then we solve eigen problem; finally, we present the process of obtaining analytical solutions and semi-analytical solutions for anisotropic plane stress problems on rectangular area.
出处
《应用数学和力学》
CSCD
北大核心
1992年第12期1031-1035,共5页
Applied Mathematics and Mechanics
关键词
辛几何
二维问题
哈密顿体系
anisotropy, linear theory of elasticity, Hamiltonian matrix, analytical solution, semi-analytical solution/simplottc geometry
