| A NEW QUADRILATERAL THIN PLATE ELEMENT BASED ON THE MEMBRANE-PLATE SIMILARITY THEORY |
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| 作者姓名： | 黄若煜 郑长良 钟万勰 姚伟岸 |
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| 作者单位： | HUANG Ruo-yu，ZHENG Chang-liang，ZHONG Wan-xie，YAO Wei-an (State Key Laboratory of Structural Analysis of Industrial Equipment，Dalian University of Technology，Dalian 116023，P R China) (Contributed by ZHONG Wan-xie) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 973 2 0 2 0 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＢｅｃａｕｓｅｏｆｔｈｅｒｅｑｕｉｒｅｍｅｎｔｏｆｃ1ｃｏｎｔｉｎｕｉｔｙ ,ｉｔｉｓｖｅｒｙｄｉｆｆｉｃｕｌｔｔｏｃｏｎｓｔｒｕｃｔｃｏｎｆｏｒｍｉｎｇＫｉｒｃｈｈｏｆｆｐｌａｔｅｂｅｎｄｉｎｇｅｌｅｍｅｎｔｓ.Ｉｎｏｒｄｅｒｔｏｏｖｅｒｃｏｍｅｔｈｅｄｉｆｆｉｃｕｌｔｙ ,ｍａｎｙａｐｐｒｏａｃｈｅｓｈａｖｅｂｅｅｎｐｒｅｓｅｎｔｅｄ .Ｉｎｔｈｅｓｅａｐｐｒｏａｃｈｅｓ,ｔｈｅｒｅｑｕｉｒｅｍｅｎｔｏｆｃ1ｉｓｒｅｌｅａｓｅｄｏｎｃｏｎｄｉｔｉｏｎｏｆｔｈｅｃｏｎｖｅｒｇｅｎ…
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| 收稿时间： | 12 December 2000 |
A new quadrilateral thin plate element based on the membrane-plate similarity theory |
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| Huang?Ruo-yu,Zheng?Chang-liang,Zhong?Wan-xie,Yao?Wei-an.A NEW QUADRILATERAL THIN PLATE ELEMENT BASED ON THE MEMBRANE-PLATE SIMILARITY THEORY[J].Applied Mathematics and Mechanics(English Edition),2002,23(3):259-270. |
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| Authors: | Huang Ruo-yu Zheng Chang-liang Zhong Wan-xie Yao Wei-an |
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| Institution: | State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P R China |
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| Abstract: | A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending. Because of avoiding the difficulty of c 1 continuity, the construction of thin plate elements becomes easier. The similarity theory and its applications were discussed more deeply, and a new four nodes, sixteen D.O.F.(degree of freedom) thin plate element was presented on the base of the similarity theory. Numerical results for typical problems show that this new element can pass the patch test and has a very good convergence and a high precision. |
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| Keywords: | plate bending membrane-plate similarity convergence finite element |
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