双层网格开顶扁球壳的非线性稳定性分析  

Nonlinear Stability of a Double-Deck Reticulated Truncated Circular Shallow Spherical Shell

作　　者：卢迎华[1,2,3] 刘人怀[1,2] 王璠[1,2] 

机构地区：[1]暨南大学"重大工程灾害与控制"教育部重点实验室,广州510632 [2]暨南大学应用力学研究所,广州510632 [3]广州出入境检验检疫局,广州510623

出　　处：《应用数学和力学》2013年第6期564-575,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金重点资助项目(11032005);广东省"工程结构故障诊断"重点实验室资助项目(200912145)

摘　　要：根据基于等效夹层壳思想的双层网格圆底扁球壳在极坐标下的平衡方程、相容方程,采用修正迭代法,对外边缘滑动固定、内边缘悬空和外边缘夹紧固定、内边缘悬空两种边界条件下,双层网格开顶圆底扁球壳的非线性稳定性进行了分析,得出了非线性载荷-位移关系及临界荷载的解析表达式,并讨论和分析了网壳几何参数对临界屈曲载荷的影响。By means of the modified iteration method, the nonlinear stability problem of a double-deck reticulated truncated circular shallow spherical shell under uniform pressure was investigated. According to the fundamental equations of double-deck reticulated circular shal- low spherical shells, the critical buckling load for the shell with two types of boundary condi- tions was obtained and the effect of geometric parameters of the shell on the critical buckling load was discussed.

关 键 词：双层网格 开顶扁球壳 非线性稳定性 等效夹层壳 修正迭代法 

分 类 号：O343.9[理学—固体力学]