基于Koiter理论的板片空间结构缺陷敏感性研究.pdfVIP

基于 Koiter 理论的板片空间结构缺陷敏感性研究 臧国华 　郭小明　葛启云 (东南大学 土木工程学院　南京 　2 10096) 摘 　要 : 目前对板片空间结构缺陷的研究主要集中在数值分析方面 ,尝试基于 Koit er 理论进行近似解析 方法的研究 。通过把板片空间结构的网架或网壳部分连续化为板或壳 ,将板片空间结构简化为双层板或双层 壳 。再分别对完善的双层板和双层壳进行大挠度方程求解 ,研究完善结构的初始后屈曲性能 。在求解大挠度 方程时 ,省略了边界条件中的耦合项 ,从而能够应用伽辽金法求解 。最后基于 Koit er 理论 ,得出板型板片空 间结构对缺陷不敏感 ,而扁壳型板片空间结构对缺陷敏感的结论 。 关键词 : Koit er 理论 　板片结构 　缺陷敏感性 　稳定 STUDY ON IMPERFECTION SENSITIVITY OF THE SHEET SPATIAL STRUCTURE BASED ON KOITER’S THEORY Zang Guohua 　Guo Xiaoming 　 Ge Qiyun ( ) College of Civil Engineering , Sout hea st U niver sit y 　Nanj ing 　2 10096 Abstract :Now t he st udy of t he sheet sp atial st ruct ure ’s imp erfection i s mainly focu sed on t he a sp ect s of numerical analysi s. Thi s p ap er t ries to doing t he st udy of t he app roximat e analytical met ho ds ba sed on Koit er ’ s t heory . By t reating t he dome f rames ’or t he reticulat ed shell s ’p art of t he sheet sp atial st ruct ure into continuou s p lat e or shell , t he sheet sp atial st ruct ure i s simp lified to doublelayer p lat e or doublelayer shell . Then t hrough solving t he p erfect doublelayer plat e and doublelayer shell by lar ge deflection equation , t he po stbuckling p erformance of t he p erfect st ruct ure ha s been st udied . The coupling t erms have been ignored in t he boundary condition when solving lar ge deflection equation , so t he result can be got by u sing Galerkin Met ho d . At la st ,t he conclu sion t hat t he p lat eshap ed sheet sp atial st ruct ure i s not sen sitive to imp erfection and t he shallow shellshap ed