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扁壳广义协调曲面矩形元 被引量:3

GENERALIZED CONFORMING CURVED RECTANGULAR ELEMENT FOR SHALLOW SHELLS
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摘要 本文从修正的扁壳胡海昌-鹫律原理泛函出发,引入两方面的广义协调条件(单元边界位移的积分型协调条件,膜应变与位移之间的积分型协调条件),使泛函退化为扁壳势能原理泛函,在此基础上导出一个具有二十个自由度的扁壳曲面矩形元。此单元对厚扁壳和薄扁壳都通用,不出现剪切闭锁和薄膜闭锁现象,具有良好的性能。 Based on the modified Hu-Washizu principle for shallow shells, two kinds of generalized compatibility conditions (compatibility condition between adjacent elements and that between membrane strains and displacements) are introduced to reduce the modified functional to the simple functional of the principle of potential energy. A curved rectangular element of shallow shell with twenty degrees of freedom is constructed. This element can be used in the analysis of both thin and thick shallow shells. Shear locking and membrane locking are avoided.
机构地区 清华大学土木系
出处 《工程力学》 EI CSCD 1992年第1期1-10,共10页 Engineering Mechanics
关键词 扁壳 有限元 广义协调元 shallow shell,finite element,generalized conforming element
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同被引文献25

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  • 2岑松,龙志飞,匡文起.引入广义泡状型位移场影响的厚板矩形单元[J].工程力学,1996,13(4):41-48. 被引量:2
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