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一种薄板弯曲问题的四边形位移单元
引用本文:卜小明,龙驭球.一种薄板弯曲问题的四边形位移单元[J].力学学报,1991,23(1):53-60.
作者姓名:卜小明  龙驭球
作者单位:AS4 Steel Ltd.,Alberta, Canada , 联系人:严宗达
摘    要:本文基于修正势能泛函,引入广义协调的概念,导出了一种具有12个自由度的薄板弯曲四边形位移单元LGC—Q12,这种单元协调性好,列式简单,计算精度高。并且能近似地通过分片检验。

关 键 词:薄板  弯曲  修正势能原理  广义协调

A QUADRILATERAL ELEMENT FOR THIN PLATE BENDING
Bu Xiaoming Long Yuqiu.A QUADRILATERAL ELEMENT FOR THIN PLATE BENDING[J].chinese journal of theoretical and applied mechanics,1991,23(1):53-60.
Authors:Bu Xiaoming Long Yuqiu
Affiliation:Tsinghua University
Abstract:In this paper, based on the modified potential energy functional and by introducing the generalized conforming conditions, a quadrilateral displacement element for thin plate with 12 degrees of freedom, LGC-Q12, is developed. By use of this element with good compatibility and simple formulations we can obtain higher accurate solution and can pass the patch test approximately if the element shapes are protruding quadrilaterals.
Keywords:modified potential energy principle  generalized compatibility  finite ele-ment
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