| 正交异性悬臂柱壳轴对称问题的弱形式解 |
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| 引用本文： | 丁克伟,唐立民. 正交异性悬臂柱壳轴对称问题的弱形式解[J]. 应用数学和力学, 1999, 20(6): 579-584 |
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| 作者姓名： | 丁克伟 唐立民 |
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| 作者单位： | 大连理工大学工程力学研究所, 大连 116023 |
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| 基金项目： | 国家自然科学基金,安徽省教委基金 |
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| 摘 要： | 导出层合柱壳轴对称问题的平衡方程和边界条件的弱形式,提供了方程和边界条件放在一起的算子形式,建立了悬臂柱壳轴对称问题的热应力混合方程,给出了正交异性层合悬臂柱壳在热荷载和机械荷载作用下的弱形式解。本文提出的方法弱化了求解方程和边界条件,化解了问题,具有一般性并便于推广。
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| 关 键 词： | 悬臂柱壳 热应力 混合方程 轴对称 弱形式解 |
| 收稿时间： | 1998-04-16 |
| 修稿时间： | 1998－04－16 |
The Solution of Weak Formulation for Axisymmetric Problem of Orthotropic Cantilever Cylindrical Shell |
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| Ding Kewei,Tang Limin. The Solution of Weak Formulation for Axisymmetric Problem of Orthotropic Cantilever Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1999, 20(6): 579-584 |
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| Authors: | Ding Kewei Tang Limin |
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| Affiliation: | Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P R China |
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| Abstract: | Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell are presented, and thermal stresses mixed state equation for axisymmetric problem of closed cantilever cylindrical shell is established. A unified approach and weak solutions are obtained for closed laminated cantilever cylindrical shell of arbitrary thickness under thermal and mechanical loadings. The equations and boundary conditions proposed in this paper are weakened, the method of this paper would be easy to popularize in dynamics analysis of elasticity. |
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| Keywords: | closed cantilever cylindrical shell thermal stresses mixed equation axisymmetric problem weak solution |
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