| ASYMPTOTIC ANALYSIS OF DYNAMIC PROBLEMS FOR LINEARLY ELASTIC SHELLS—— JUSTIFICATION OF EQUATIONS FOR DYNAMIC KOITER SHELLS |
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| 作者姓名： | XIAO Liming |
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| 作者单位： | XIAO LIMING Institute of Mathematics，Fudan University，Shanghai 200433，China; Department of Computer Science，Guangdong Normal Polytechnic，Guangzhou 510665，China. |
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| 基金项目： | the National Natural Science Foundation of China (No.10071024). |
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| 摘 要： | 91. IntroductionIn this paper, or,g,a,r,' take their values in the set {1, 2}, i, i, k, l,' take their valuesin the set {1, 2, 3}.In 1] and 12] under certain conditions, starting from the three-dimensional dynamicequations Of elastic shells we have given the justifications of dynamic equations of membraneshells and fie-cural shells respectively. In this paper, we shall show that, starting from thedynamic equations of KOiter shells, we can alsO get the dylltalc equstions of membraneshell…
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| 关 键 词： | 渐近分析 线性弹性壳体 动态方程 曲率张量 |
| 收稿时间： | 2000/6/19 0:00:00 |
| 修稿时间： | 7/1/2000 12:00:00 AM |
ASYMPTOTIC ANALYSIS OF DYNAMIC PROBLEMS FOR LINEARLY ELASTIC SHELLS|JUSTIFICATION OF EQUATIONS FOR DYNAMIC KOITER SHELLS |
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| XIAO Liming.ASYMPTOTIC ANALYSIS OF DYNAMIC PROBLEMS FOR LINEARLY ELASTIC SHELLS|JUSTIFICATION OF EQUATIONS FOR DYNAMIC KOITER SHELLS[J].Chinese Annals of Mathematics,Series B,2001,22(3):267-274. |
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| Authors: | XIAO Liming |
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| Institution: | Institute of Mathematica, Fudan University,;Department of Computer Science Guangdong Normal Polytechnic, |
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| Abstract: | Under certain conditions, the dynamic equations of membrane shells and the dynamic equations of flexural shells are obtained from dynamic equations of Koiter shells by the method of asymptotic analysis. |
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| Keywords: | Dynamics for elastic shells Asymptotic analysis Koiter shells Membrane shells Flexural shells Space of inextensional displacement |
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