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双层双曲抛物面网壳结构的非线性稳定性
Nonlinear buckling of hyperbolic parabolic double-deck reticulated shallow shells
【摘要】 基于等效夹层壳思想的双层网格扁壳非线性弯曲理论,对鞍形双层双曲抛物面网格壳体在均布压力作用下的非线性稳定性问题进行了研究,采用伽辽金方法求得了简支边界条件下双层双曲抛物面网格壳的非线性载荷-位移关系式和临界屈曲载荷的解析表达式,同时讨论了网壳结构几何参数对临界屈曲载荷的影响.
【Abstract】 Based on the nonlinear bending theory of double-deck reticulated shallow shells,the nonlinear buckling problem of hyperbolic parabolic double-deck reticulated shallow shells under uniform transverse pressure is studied.An analytic solution for movable clamped edges is obtained by use of Galerkin’s method.The results of numerical calculations are presented in diagrams,which show the influence of geometrical parameters on the buckling behavior.
【关键词】 双层双曲抛物面网格壳;
夹层扁壳;
非线性稳定性;
【Key words】 hyperbolic parabolic double-deck reticulated shallow shell; sandwich shallow shell; nonlinear stability;
【Key words】 hyperbolic parabolic double-deck reticulated shallow shell; sandwich shallow shell; nonlinear stability;
【基金】 国家自然科学基金(19972024)
- 【文献出处】 暨南大学学报(自然科学版) ,Journal of Jinan University(Natural Science Edition) , 编辑部邮箱 ,2008年05期
- 【分类号】TU399
- 【被引频次】9
- 【下载频次】202