高阶剪切变形板理论K■rm■n型方程及在热后屈曲分析中的应用

K rm n-Type Equations for a Higher-order Shear Deformation Plate Theory and Its Use in the Thermal Postbuckling Analysis

本文基于Reddy高阶剪切变形板理论导出Karman型非线性大挠度方程并用于层合板热后屈曲分析．分析中计及板初始几何缺陷和热效应．给出了四边简支．对称正交铺设层合板在均匀或非均匀抛物型热分布作用下的后屈曲分析．采用摄动-Galerkin混合法确定板的热屈曲载荷与热后屈曲平衡路径．同时讨论了横向剪切变形，板长宽比，铺层数以及初始几何缺陷等各种参数变化的影响．

karman-type nonlinear large deflection equations are derived according to theReddy, s higher-order shear deformation plate theory and are used in the thermalpostbuckling andlys is. The effects of initial geometric imperfections of theplate are included in the present s tudy which also includes the thermal effects.Simply supported, symmetric cross-ply laminated plates subjected to uniformof nonuniform parabolic temperature distribution are considered. The analysisuses a mixed Galerkin-perturbation technique to determine thermal buoklingloads and postbuckling equilibrium paths. The effects played by transverseshear deformation, plate aspect ratio, total number of plies, thermal load ratioand initial geometric imperfections are also studied.