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关于组合结构中的连接条件及其有限元法实现

石钟慈   

  1. 中国科学技术大学
  • 出版日期:1980-04-20 发布日期:1980-04-20

石钟慈. 关于组合结构中的连接条件及其有限元法实现[J]. 数值计算与计算机应用, 1980, 1(4): 211-216.

FINITE ELEMENT IMPLEMENTATION FOR LINK CONDITIONS OF COMPOSITE ELASTIC STRUCTURES

  1. Shi Zhong-ci Chinese University of Science and Technology
  • Online:1980-04-20 Published:1980-04-20

冯康教授在[1,2]中建立了组合弹性结构的力学模型及其相应的数学理论。在此基础上可以发展有限元法并证明一般性的收敛定理. 本文根据这一理论,对用有限元法分析组合结构提出一个具体的实现方案,主要是讨论连续和离散模型中有关连接条件的问题.

In [1] Prof. Feng Kang has considered the elliptic differential equations on compositemanifold of different dimensions and has given a precise mathematical foundation for compositeelastic structures. According to this theory, we have discussed in, detail the formulation of linkconditions for rigid connection between different parts of structures and their finite elementimplementation. It was pointed out, for instance, that on the link line of two plates or platewith beam only three translational displacement components and a longitudinal rotation ought tobe set continuously and nothing should be required for the other two transversal rotation angles.However, it is usual for some engineering finite element calculations to demand that all thesix displacement components be continuous, which may make the problem unsolvable in somespecial cases because of superfluous continuity. We further proposed a computational scheme for treating the link conditions, which wereprocessed in connection with substructures method for solving the stiffness matrix equation.

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[1] 冯康,组合流形上的椭圆方程与组合弹性结构,计算数学,1:3(1979) ,199-208.
[2] 冯康,弹性力学基础,石化部短训班讲义,1977.

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