| 带旋转自由度拟协调三角形板壳单元 |
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| 引用本文： | 朱菊芬,陈亮,郑罡.带旋转自由度拟协调三角形板壳单元[J].大连理工大学学报,2001,41(1):38-41. |
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| 作者姓名： | 朱菊芬 陈亮 郑罡 |
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| 作者单位： | 大连理工大学 工程力学系, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金资助项目!(59779017). |
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| 摘 要： | 将拟协调三角形罚函数板单元和Allman二次膜位移插值模式相结合，通过在膜内增加一个旋转自由度参数，构造一种新的Mindlin三角形板壳单元。采用这一单元对板壳结构的线性和几何非线性问题作了分析。数值计算表明，该单元不仅克服了用板单元拟合壳体分析中的病态，而且使单元在保持弯曲精度的同时大大提高了膜内变形的精度。
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| 关 键 词： | 有限元 剪切闭锁 旋转自由度 壳体结构 板单元 |
| 文章编号： | 1000-8608(2001)01-0038-04 |
Quasi-conforming triangle plate and shell elements with drilling degree of freedom |
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| ZHU Ju-fen,CHEN Liang,ZHENG Gang.Quasi-conforming triangle plate and shell elements with drilling degree of freedom[J].Journal of Dalian University of Technology,2001,41(1):38-41. |
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| Authors: | ZHU Ju-fen CHEN Liang ZHENG Gang |
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| Abstract: | Based on Mindlin′s assumption, a new triangle plate/shell elementwith a drilling degree of freedom is presented. This element combines the quasi-conforming triangle plate element with Allman′s drilling parameter which is interpolated by a 2D membrane displacement interpolation function. A number of numerical examples for linear statics, linear stability and geometrical non-linear problem of plate/shell structure are given. The computational results show that this element not only is able to overcome the morbidity during the course of fitting shell structure with plate element, but also has good membrane and bending precision. |
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