摘要
基于Ｋａｒｍａｎ型正变异性板的精化理论，本文采用挠度型摄动技术研究了复合构造矩形板的屈曲与后屈曲性态．分析中应用了由该理论导出的广义大挠度Ｋａｒｍａｎ方程，不仅考虑横向剪切，而且包含因材料指向性引起的剪弯相互作用．用此摄动技术构造出了四边简支正交异性中厚板和夹层板的后屈曲路径高阶渐近展开式．通过比较可以看出，当前计算结果更接近相应的三维弹性理论精确解．
Based on the Karman type refined orthotropic plate theory,the buckling and postbukling behavior of composite-constructed rectangular shear-defomable plates is analysed.The latest version of the generalized Karman equations developed according to the refined theory are applied here,which include not only transverse shear defomation but also shearbending interaction induced by orientational properties of composite material and construction.Highter order asymptotic expansions for the postbuckling behavior of orthotropic thick and sandwich plates with all edges simply supported are constructed by perturbation technique of the deflection type.Numerical results computed from the present solution have arrived at a better agreement with the relevant ones predicted by the exact 3D elasticity theory.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1994年第4期109-114,共6页
Journal of Shanghai Jiaotong University
基金
国家教委留学回国人员基金
关键词
精化
后屈曲
正交异性
卡门方程
板
refined orthotropic plate theory,shear deformable plate theory,buckling and postbuckling,perturbation technique
