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王长国 杜星文 赫晓东. 空间充气薄膜结构的褶皱分析[J]. 力学学报, 2008, 40(3): 331-338. DOI: 10.6052/0459-1879-2008-3-2006-374
引用本文: 王长国 杜星文 赫晓东. 空间充气薄膜结构的褶皱分析[J]. 力学学报, 2008, 40(3): 331-338. DOI: 10.6052/0459-1879-2008-3-2006-374
Changguo Wang, Xingwen Du, Xiaodong He. Wrinkling analysis of space inflatable membrane structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(3): 331-338. DOI: 10.6052/0459-1879-2008-3-2006-374
Citation: Changguo Wang, Xingwen Du, Xiaodong He. Wrinkling analysis of space inflatable membrane structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(3): 331-338. DOI: 10.6052/0459-1879-2008-3-2006-374

空间充气薄膜结构的褶皱分析

Wrinkling analysis of space inflatable membrane structures

  • 摘要: 引入一个表征褶皱在纹理方向收缩特性的参数``收缩系数''来替代泊松比参与计算褶皱形变,并联合褶皱产生时的应力条件和褶皱特性,实现了对空间充气薄膜结构的褶皱分析,得到了褶皱存在时的充气薄膜结构的应力场和变形. 分析中重点讨论了``收缩系数''与泊松比的关系,并讨论了引入``收缩系数''约束变形后的变形协调条件. 将两维的褶皱分析方法拓展应用到三维充气结构的褶皱分析中,分析了充气管的弯皱变形,得到了临界皱曲和极限弯矩随结构及力学参数的变化规律. 通过简单的褶皱试验,定性地分析了褶皱的形变特性并与分析结果进行了比较验证,结果一致.

     

    Abstract: In this paper, the wrinkling analysis of space inflatablemembrane structure was performed with the application of the contractionfactor, the stress condition and wrinkling characteristic. The parameter ofthe contraction factor was introduced to show the contraction in thedirection of texture, not the concept of the Poisson's ratio. The stressfield and deformation of the wrinkled inflatable membrane structure wereobtained. A deep discussion on the relationship between the Poisson's ratioand the contraction factor. Was carried out and the compatibility conditionof the deformation was redefined. Furthermore, the 2-D wrinkling analyticalmethod was extended into the case of the 3-D inflated structures. Theflexural wrinkling of an inflated cylinder tube was analyzed to obtain therelationship between the critical wrinkling and the structural or mechanicalparameters. The theoretical results were quantitatively verified and wellagreed with the experimental results.

     

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