各向同性平面弹性力学求解新体系正交关系的研究

Research on orthogonality relationship of a new systematic methodology for two-dimensional elasticity

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.