摘要
在平面弹性力学求解新体系中,将文献[2]对偶向量进行重新排序后,提出了一种新的对偶微分矩阵L,对于各向同性平面问题发现了一种新的正交关系。文中证明了这种正交关系的成立,并研究了各向同性平面问题的功互等定理与正交关系的联系。对于各向同性平面问题,新的正交关系包含文献[2]的正交关系。
In a systematic methodology for two-dimensional elasticity, a dual differential matrix L is presented by dual vectors, and an orthogonal relationship is discovered for the isotropic plane problems. The orthogonal relationship is proved and the relation between the reciprocal theorem and the orthogonal relationship is studied for the isotropic plane problems. The orthogonal relationship includes the orthogonal relationship in the paper of Zhong Wanxie for the isotropic plane problems.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2003年第2期199-203,共5页
Chinese Journal of Computational Mechanics
关键词
弹性力学
对偶向量
正交关系
Differential equations
Eigenvalues and eigenfunctions
Elasticity
Matrix algebra
Two dimensional
Vectors