| AN ASYMPTOTIC ANALYSIS METHOD FOR THE LINEAR SHELL |
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| 引用本文： | 李开泰,张文岭,黄艾香. AN ASYMPTOTIC ANALYSIS METHOD FOR THE LINEAR SHELL[J]. 西安交通大学学报(英文版), 2004, 16(1): 1-10 |
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| 作者姓名： | 李开泰 张文岭 黄艾香 |
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| 作者单位： | CollegeofSciences,Xi＇anJiaotongUniversity,Xi＇an710049,China |
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| 基金项目： | ThisworkwassupportedbytheSpecialFundsforMajorStateBasicResearchProjects(No .G19990 32 80 1)andNSFC(No .10 10 10 2 0 ) |
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| 摘 要： | In this paper, using the formal approach of asymptotic expansion for linear elastic shell we can get each term uk successively. According this method the leading term u0 will be identified by an elliptic boundary value problem, other terms will be obtained by the algebraic operations without solving partial differential equations. We give the variational formulation for the leading term U(x) and construct an approximate solution U^KT(x,ξ):= U(x) Ⅱ1Uξ Ⅱ2Uξ,then we give the estimation.
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| 关 键 词： | 渐近线分析理论 线性弹性壳 渐近线展开理论 弹性力学 |
AN ASYMPTOTIC ANALYSIS METHOD FOR THE LINEAR SHELL |
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| Li Kaitai,Zhang Wenling,Huang AixiangCollege of Sciences,Xi'an Jiaotong University,Xi'an ,China.. AN ASYMPTOTIC ANALYSIS METHOD FOR THE LINEAR SHELL[J]. Academic Journal of Xi’an Jiaotong University, 2004, 16(1): 1-10 |
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| Authors: | Li Kaitai Zhang Wenling Huang AixiangCollege of Sciences Xi'an Jiaotong University Xi'an China. |
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| Affiliation: | College of Sciences, Xi'an Jiaotong University, Xi'an 710049, China |
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| Abstract: | In this paper, using the formal approach of asymptotic expansion for linear elastic shell we can get each term uk successively. According this metnod the leading term u0 will be identified by an elliptic boundary value problem, other terms will be obtained by the algebraic operations without solving partial differential equations. We give the variational formulation for the leading term U(x) and construct an approximate solution UKT(x,ζ):=U(x)+Ⅱ1Uζ+Ⅱ2Uζ2,then we give the estimation. |
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| Keywords: | Linear elastic shell asymptotic expansion method |
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