弹性约束正交各向异性板屈曲精度改进分析  

Precision Improved Local Buckling Analysis of Elastically Restrained Orthotropic Plates

作　　者：余权舟 乔丕忠[1,2] 祁洋[1] 徐吉峰 陆孜子 

机构地区：[1]上海交通大学工程力学系,上海200240 [2]上海交通大学海洋工程国家重点实验室,上海200240 [3]中国商飞北京民用飞机技术研究中心,北京100083

出　　处：《力学季刊》2014年第2期180-188,共9页Chinese Quarterly of Mechanics

基　　金：海洋工程国家重点实验室自主研究课题(GKZD010059)

摘　　要：对单轴压缩下受载边处于简支边界约束非受载边处于竖向及旋转弹性边界约束的正交各向异性矩形板的屈曲问题进行了精度改进的理论研究.在运用瑞利-里兹法进行理论推导中,确保了形函数同时精度满足力边界约束和位移边界约束,从而获得了具有较高精度(与有限元对比,误差小于1%)的闭合形式解析解及常用于工程分析设计的显式公式.这些结果可用于判别单轴压缩下竖向及旋转弹性边界约束正交各向异性矩形板的屈曲承载能力,进而应用到复合材料薄壁结构的局部稳定性前期分析设计中.Precision improved local buckling analysis of orthotropic composite rectangular plates with the two opposite loaded edges simply-supported and the other two opposite unloaded edges vertically and rotationally restrained and subjected to an in-plane tmiaxial compression was presented. In the derivation of theoretical formulas with the Rayleigh-Ritz method, the chosen polynomial shape function should strictly satisfy the displacement boundary conditions and the force boundary conditions so that the accuracy of the obtained closed-form analytical solution can be warranted and at the same time the resulting, explicit design formulas, can be useful in practical plate design and analysis. The present results can be employed to accurately determine the capacities of laminated plates subjected to an in-plane uniaxial compression load and with the unloaded edges vertically and rotationally restrained and efficiently facilitate preliminary local stability design analysis of thin-walled composite structural shapes.

关 键 词：正交各向异性板 局部屈曲 竖向弹性约束 旋转弹性约束 瑞利-里兹法 

分 类 号：O343.9[理学—固体力学]