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罗建辉,刘光栋.各向同性平面弹性力学求解新体系正交关系的研究[J].计算力学学报,2003,20(2):199~203
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
  修订日期:2001-09-26
DOI:10.7511/jslx20032040
中文关键词:  弹性力学 对偶向量 正交关系
英文关键词:theory of elasticity,dual vectors,orthogonal relationship
基金项目:
罗建辉  刘光栋
湖南大学土木工程学院,湖南大学土木工程学院 湖南长沙410082,湖南长沙410082
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中文摘要:
      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。
英文摘要:
      In a new systematic methodology for two\|dimensional elasticity, a new dual differential matrix L is presented by the dual vectors over again sorted in the paper of Zhong Wanxie and a new orthogonal relationship is discovered for isotropic plane problems. The new orthogonal relationship is proved and the relation between the reciprocal theorems and the orthogonal relationship is studied for the isotropic plane problems. The new orthogonal relationship includes the orthogonal relationship in the paper of Zhong Wanxie for the isotropic plane problems.
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