| 厚板薄板通用的广义协调矩形元 |
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| 引用本文： | 龙驭球,赵俊卿. 厚板薄板通用的广义协调矩形元[J]. 工程力学, 1988, 0(1) |
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| 作者姓名： | 龙驭球 赵俊卿 |
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| 作者单位： | 清华大学，清华大学 |
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| 摘 要： | 根据文献[1]提出的建立广义调协元的作法,推导出一个对厚板和薄板都适用的、具有20个自由度的广义协调矩形元,由于取结点剪应变γxi 和γyi 作为附加自由度,因此对于薄板的极限情况不出现剪切自锁现象。由于满足了单元各边平均位移的协调条件,因而能够通过分片检验,保证收敛于精确解。本单元具有与文献[2]中的单元相同的自由度,但能给出更高精度的结果。
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A GENERALIZED CONFORMING RECTANGULAR ELEMENT FOR THICK/THIN PLATES |
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| Abstract: | Based upon the method outlined in[1]for the formulation of generali- zed conforming element,a generalized conforming rectangular element for thick/thin plates with 20 degrees of freedom is developed.As the nodal she- aring strains γxi and γyi are taken as extra degrees of freedom,the present element is free from“locking”effect in the limit case of thin plate.By satisfying the compatibility conditions of the average displacemenas on each side of the element,the patch test can alway be satzisfied and convergence toward an exact solution is guaranteed.The present element pessesses the same degrees of freedom as the element developed in Ref.[2],but gives more accurate results. |
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