摘要
基于向量式有限元基本原理,首先推导了4节点膜单元的基本公式,详细阐述了通过逆向运动获得单元节点纯变形位移的过程,以及进一步通过变形坐标系获得单元节点内力的求解方法;同时对4节点膜单元的位置模式和内力计算的数值积分等问题提出了合理可行的处理方法。在此基础上编制了4节点膜单元的计算分析程序,通过算例分析验证了理论公式和所编制程序的正确性和有效性,进而将本文方法应用于气枕充气和布料悬垂等膜结构大变形大转动问题的计算分析。
Based on fundamental principles of the vector form intrinsic finite element（VFIFE）,the basic formulas of 4-node quadrilateral membrane element were first derived in this paper.The procedure for the determination of pure nodal deformation through reverse movement was elaborated,and the method for the calculation of internal nodal forces through deformation coordinate system was presented.Feasible approaches were also proposed for several issues for 4-node membrane element,including the location statuses and the numerical integration for internal forces.A computer program of 4-node membrane element was developed.By the analysis of the numerical example,the correctness and validity of the membrane element theory and the computer program were verified.Then the approach was applied for more analysis of large deformation and large rotation problems of membrane structures,including cushion inflating and cloth draping.
出处
《土木建筑与环境工程》
CSCD
北大核心
2013年第4期60-67,共8页
Journal of Civil,Architectural & Environment Engineering
基金
国家自然科学基金资助项目(50775189)
浙江省重点科技创新团队资助项目(2010R50034)
关键词
膜结构
向量式有限元
4节点膜单元
变形
位置模式
membrane structures
vector form intrinsic finite element
four-node membrane element
deformation
location statuses
