考虑膜材各向异性的膜结构褶皱分析  

WRINKLING ANALYSIS OF MEMBRANE STRUCTURES ACCOUNTING FOR ANISOTROPIC PROPERTY

作　　者：于磊[1] 赵阳[1] 王震[2] 

机构地区：[1]浙江大学空间结构研究中心,杭州310058 [2]浙江省建筑设计研究院,杭州310006

出　　处：《工程力学》2015年第6期183-191,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(51378459);浙江省重点科技创新团队项目(2010R50034)

摘　　要：推导了应用于向量式有限元三角形膜单元的各向异性膜材本构矩阵;进一步推导了各向异性膜材褶皱状态下的修正本构矩阵,并提出更为合理的主偏夹角计算方法。在此基础上编制了考虑膜材各向异性的膜结构荷载分析与褶皱分析程序,并进行了算例验证。算例分析表明,所编制的向量式有限元程序可以很好地完成各向异性膜结构的荷载分析与褶皱分析,验证了理论推导的正确性和分析程序的可靠性。分析结果还表明膜材的各向异性与褶皱效应会对膜结构的受力性能产生显著影响。The constitutive matrix of an anisotropic membrane material applied to triangular membrane elements of Vector Form Intrinsic Finite Element(VFIFE) is derived. The modified constitutive matrix of a wrinkled anisotropic membrane is also derived, and a more reasonable method is proposed for the calculation of the angle between principle stress and local coordinate system. On this basis, a computer program for loading analysis and wrinkling analysis of anisotropic membrane structures is developed, and numerical examples are provided. It is shown from numerical results that both loading analysis and wrinkling analysis of anisotropic membrane structures can be performed well by the developed VFIFE program, verifying the validity of the theoretical derivation and the reliability of the computer program. It is also indicated that anisotropic properties and the wrinkling effect in membrane materials have a significant influence on the structural behavior of membrane structures.

关 键 词：膜结构 向量式有限元 各向异性 褶皱分析 本构矩阵 

分 类 号：TU383[建筑科学—结构工程]