层合复合材料剪切板的屈曲和后屈曲

Buckling and Postbuckling of Laminated Shear Deformable Plates

基于Ｋａｒｍａｎ型精化理论，给出了层合复合材料剪切板的广义Ｋａｒｍａｎ大挠度方程，并讨论了该方程在各种特殊情况下的一系列退化形式．依据非线性Ｋａｒｍａｎ方程，运用位移型摄动技术研究了单向轴压四边简支层合剪切方板和矩形板的屈曲和后屈曲性态．给出了针对几种特殊情况的典型算例，并与其他理论结果和数值解作了比较．分析显示Ｋａｒｍａｎ型一阶剪切板理论具有较高的精度．

The generalized Karman equations governing large deflection of laminated shear deformable rectangular plates are presented based on the Karman type refined plate theory(KTRPT). Reduced forms of the generalized Karman equations are discussed for special circumstances. According to the nonlinear Karman equations, buckling and postbuckling behaviors of laminated shear deformable square and rectangular plates with four edges simply supported are studied by using a deflection type perturbation technique. Specific examples are made to compare the present predictions with other theoretical and numerical results. It is shown that the present Karman type first order shear deformation plate theory is of high accuracy.