摘要
通过引入对偶变量,将平面正交各向异性问题导入哈密顿体系,实现从欧几里德几何空间向辛几何空间的转换.从而使得分量变量及本征函数向量展开的直接解法得以实施。
Based on the dual variables,the Hamiltonian system theory is i
ntroduced into plane orthotropy elasticity,the transformation from Euclidian spa
ce to symplectic space is realized.Therefore,the method of separation of variabl
e and eigenfunction expansion method are derive to solve this problem,i.e. a new
systematic methodology for plan orthotropy elasticity is presented.
基金
国家自然科学基金