采用曲面四边形单元分析张力膜结构内力  

Internal force analysis of tensile membrane structures using curved quadrilateral elements

作　　者：徐桂园[1] 辛克贵[1] 王珊[2] 

机构地区：[1]清华大学土木工程系教育部结构与振动重点实验室,北京100084 [2]北方工业大学建筑学院,北京100043

出　　处：《清华大学学报（自然科学版）》2006年第3期313-317,共5页Journal of Tsinghua University(Science and Technology)

基　　金：北京市教育委员会科技发展计划项目(01KJ-027)

摘　　要：根据几何非线性有限元理论,采用8节点曲面四边形等参单元,分析了张力膜结构内力。对褶皱单元的处理,提出了平均主应力褶皱判断准则。对不同矢跨比、初始预应力、不同荷载类型等参数组合下的菱形马鞍面张力膜结构进行较为系统的内力性能比较。矢跨比和初始预应力的大小对该结构的内力和变形产生较大影响,而其他参数影响不大。程序经过算例验证,结论表明该方法的可靠性和有效性。The internal forces in tensile membrane structures were analyzed using geometrical nonlinear finite element theory using curved quadrilateral isoperimetric 8 node elements. An average stress judge rule was developed to handle wrinkling elements. The internal force characteristics for rhombus hyperbolic saddle membrane structures were compared for various combinations of height to span initial stress and loading style. The initial stress and the height to span ratio have the greatest effect on the internal forces and the distortion. Examples indicate that the method is reliable and efficient.

关 键 词：张力膜结构 内力分析 褶皱单元 曲面四边形等参单元 几何非线性有限元 

分 类 号：TU2[建筑科学—建筑设计及理论]