平面及空间正交异性膜的起皱过程及分析方法  

WRINKLING PROCESS AND ANALYSIS METHOD OF PLANAR AND SPATIAL ORTHOTROPIC MEMBRANES

作　　者：韩庆华 温晓东[3] 刘铭劼 吴昊 HAN Qing-hua;WEN Xiao-dong;LIU Ming-jie;WU Hao(Key Laboratory of Earthquake Engineering Simulation and Seismic Resilience of China,Earthquake Administration(Tianjin University),Tianjin 300350,China;Key Laboratory of Coast Civil Structure Safety,Ministry of Education(Tianjin University),Tianjin 300350,China;School of Civil Engineering,Tianjin University,Tianjin 300350,China)

机构地区：[1]中国地震局地震工程综合模拟与城乡抗震韧性重点实验室(天津大学),天津300350 [2]滨海土木工程结构与安全教育部重点实验室(天津大学),天津300350 [3]天津大学建筑工程学院,天津300350

出　　处：《工程力学》2025年第3期42-55,112,共15页Engineering Mechanics

基　　金：国家自然科学基金项目(U1939208,52108164);天津市科技计划项目(23ZYYYJC00010,24ZYYYJC00100)。

摘　　要：正交异性膜越来越广泛地应用在各种充气结构中。膜在非均匀变形的作用下很容易产生褶皱变形,因此有必要对正交异性膜的褶皱变形进行研究。对于平面正交异性膜,该文结合正交异性材料的起皱判别准则以及应力极值法,利用应力极值条件确定褶皱半波长。利用应变条件确定褶皱幅值。采用最大主应力方向和最大主应变方向确定正交异性膜褶皱方向角的范围,并研究其变化规律。经过理论分析和数值模拟结果的对比,验证了提出的研究方法的可靠性。对于空间正交异性膜,该文采用有限元模型分析了其褶皱演变过程,并对比分析了采用薄膜模型和薄壳模性进行分析的区别。在上述研究的基础上,分析了处于压力气体和水耦合作用下由空间正交异性膜制成的防水气枕的气压变化情况,并利用试验结果进行了验证。研究结果为正交异性材料的工程应用提供参考。Orthotropic membranes are more and more widely used in various inflatable structures.The membrane is easy to wrinkle under the action of non-uniform deformation,so it is necessary to study the wrinkle deformation of orthotropic membranes.For the planar orthotropic membranes,the wrinkling criterion of orthotropic materials and the stress extremum method were combined,the stress extremum condition was used to determine the half wavelength of wrinkles,and the amplitude of the wrinkles was determined using strain conditions.The directions of the maximum principal stress and the maximum principal strain were both used to determine the range of the wrinkle direction angle of the orthotropic membrane,and the variation law was studied.The comparison between theoretical analysis and numerical simulation results verifies the reliability of the proposed research method.For the spatial orthotropic membrane,the finite element model was used to analyze the evolution process of the wrinkles,and the difference between the membrane model and the shell model was compared.On the basis of the above research,the air pressure of a waterproof air cushion made by the spatial orthotropic membrane under the coupling of pressure air and water was analyzed and verified by experimental results.The research results provide a reference for the engineering application of orthotropic materials.

关 键 词：正交异性膜 褶皱 构形参数 应力极值法 液-固-气耦合 

分 类 号：TU383[建筑科学—结构工程]