矩形受剪切空间褶皱薄膜弹性应变能和主应力有限元分析  

Finite element analysis of elastic strain energy and principal stress for rectangular shear aerospace wrinkling membrane

作　　者：肖潇 章桥[1] 关富玲 XIAO Xiao;ZHANG Qiao;GUAN Fu-ling(School of Civil Engineering,University of South China,Hengyang421001,China;Yangtze River Delta(Zhuji)Research Institute Co.,LTD,University of South China,Zhuji 311800,China;Space Structures Research Center,Zhejiang University,Hangzhou310058,China)

机构地区：[1]南华大学土木工程学院,湖南衡阳421001 [2]南华大学长三角(诸暨)研究院有限公司,浙江诸暨311800 [3]浙江大学空间结构研究中心,浙江杭州310058

出　　处：《空间结构》2020年第2期3-10,共8页Spatial Structures

基　　金：民用航天科研预先研究项目(C1320060312);湖南省学位与研究生教育研究课题(JG2018B089);南华大学留学归国科研启动基金(2016XQD47)

摘　　要：薄膜因其厚度薄、抗弯刚度小,当外载荷产生的压应力超过临界压应力时,会出现局部屈曲现象而形成褶皱.褶皱的出现不仅会影响薄膜结构的表面精度,还会改变结构的应力分布状态,进而影响结构的静力和动力特性.研究褶皱的影响因素及其机理,对准确预测薄膜褶皱变形、有效控制或消除褶皱变形,具有重要的意义.本文对矩形受剪切空间薄膜的褶皱进行数值分析.首先,运用非线性屈曲法、直接干扰法以及显式动力法分别对薄膜结构的褶皱进行分析,研究褶皱的数量、褶皱的几何信息与分布情况,并通过与实验结果的对比,验证数值分析方法的正确性.其次,在非线性屈曲法、直接干扰法和显式动力法中选取最合适的方法,以非线性有限元软件ABAQUS为平台,在不同网格密度、不同膜材厚度和不同加载条件下对矩形薄膜受剪切褶皱进行进一步分析,以分析薄膜结构的能量和应力分布,具体包括应变能密度分布、整个薄膜所具有的能量以及主应力分布情况.本研究可为空间薄膜结构褶皱的进一步研究、薄膜结构膜材的选择以及形状控制等提供参考.Due to its thin thickness and small flexural rigidity, when compressive stress produced by external load exceeds critical compressive stress, local buckling of the membrane will occur and wrinkles will be formed. The appearance of wrinkles will not only affect surface precision of membrane structure but also change stress distribution of structures, which will affect static and dynamic characteristics of structures. It is of great significance to study influencing factors and their influencing mechanism of wrinkles, to accurately predict deformation of membrane wrinkles and to effectively control or eliminate deformation of wrinkles. In this paper, wrinkles of rectangular shear aerospace membranes are analyzed numerically. Firstly, nonlinear buckling, direct interference, and dynamic display methods are used to analyze wrinkles of aerospace membrane respectively. Based on ABAQUS finite element package, these methods are used to simulate the onset, growth, and final configuration of wrinkles when membranes are subjected to external loads. Compared with the experiment results, the most suitable method is proposed. Secondly, analyses are conducted with the proposed method to rectangular and sheared membrane models in different mesh density, different thickness of membrane material and under different loading conditions, to analyze energy of membrane structure and stress distribution, including strain energy density distribution, total elastic strain energy and principal stress distribution. This study will provide references for further research on wrinkles of aerospace membrane structures, selection of membrane materials and shape control of membrane structures.

关 键 词：空间薄膜结构 褶皱 有限元分析 弹性应变能 主应力分布 

分 类 号：TU383[建筑科学—结构工程]