| 基于薄膜褶皱分析的非线性协调方程 |
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| 作者姓名： | 华岳 韦娟芳 |
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| 作者单位： | 西安空问无线电技术研究所,西安710000 |
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| 摘 要： | 文章提出了薄膜二维参变数模型，该模型描述了三种基本区域：张紧区、起皱区和松弛区。相应的参数变化规则也定义在二维参数模型之中。以二维参数模型和参数变化规则为基础，借鉴薄板大挠度问题中对板的中面的分析方法来分析薄膜结构，导出薄膜起皱问题三维数学模型的非线性协调方程。
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| 关 键 词： | 薄膜结构 皱褶 非线性 |
A Nonlinear Compatible Equation for Wrinkling Analysis of Thin Membranes |
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| Authors: | Hua Yue Wei Juanfang |
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| Institution: | Hua Yue Wei Juanfang (Xi＇an Institute of Space Radio Technology ,Xi＇an,710000 ,China) |
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| Abstract: | A new two-variable-parameter （2-VP） membrane model is proposed, which describes the basic three states ： taut, wrinkle and slack of wrinkled membrane in a systematic format. A corresponding parameter variational principle （PVP） is then derived for this 2-VP membrane model. Based upon the 2-VP model and PVP, this paper analyses thin membranes structure referring to the method for analyzing the thin-plate middle plane about large deflection. Further more, A Nonlinear Compatible Equation for solving the Wrinkling problem of Thin Membranes is deduced. |
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| Keywords: | Membrane structure Wrinkle Nonlinearity |
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