| 基于解析试函数的广义协调四边形厚板元 |
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| 引用本文： | 龙驭球,傅向荣. 基于解析试函数的广义协调四边形厚板元[J]. 工程力学, 2002, 19(3): 10-15 |
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| 作者姓名： | 龙驭球 傅向荣 |
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| 作者单位： | 清华大学土木系,北京,100084 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 本文构造两个广义协调四边形厚板元ATF-PQ4a和ATF-PQ4b。根据Mindlin-Reissner厚板理论的控制方程，首先求出其基本解析解，然后用其作为试函数来构造单元。数值算例表明，这两个单元不出现剪切闭锁，显示出良好的性能。
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| 关 键 词： | 有限元 试函数 Mindlin-Reissner板理论 剪切闭锁 |
| 文章编号： | 1000-4750(2002)03-010-06 |
TWO GENERALIZED CONFORMING QUADRILATERAL THICK PLATE ELEMENTS BASED ON ANALYTICAL TRIAL FUNCTIONS |
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| LONG Yu-qiu,FU Xiang-rong. TWO GENERALIZED CONFORMING QUADRILATERAL THICK PLATE ELEMENTS BASED ON ANALYTICAL TRIAL FUNCTIONS[J]. Engineering Mechanics, 2002, 19(3): 10-15 |
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| Authors: | LONG Yu-qiu FU Xiang-rong |
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| Abstract: | Two generalized conforming quadrilateral thick plate elements are developed in this paper. From the governing equations of Mindlin-Reissner plate theory, the fundamental analytical solutions are first derived and then used as the trial functions to formulate the element. Numerical examples show that the proposed elements, ATF-PQ4a and ATF-PQ4b, are free from shear locking and exhibit excellent performance. |
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| Keywords: | finite element trial function Mindlin-Reissner plate theory shear locking. |
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