复合结构剪切板的屈曲与后屈曲研究

INVESTIGATION TO THE BUCKLING AND POSTBUCKLING BEHAVIOUR OF SHEAR-FLEXIBLE PLAIES OF COMPOSITE CON5TRUCTION

基于Ｒｅｉｓｓｎｅｒ剪切板理论，本文将现有理论模型推进了一步，导出了控制复合材料和构造矩形板平衡的广义Ｋａｒｍａｎ大挠度方程。此外，运用摄动技术，构造了一个单向压缩简支剪切矩形板的后屈曲渐近解，适用于面板和夹心材料都具正交各向异性的夹层板以及计及横向剪切变形对称铺设的层合板。文中给出了典型算例，并将当前结果与其它理论或数值解作了比较，显示出相当好的一致性。

The generalized Karman equations governing large defiection of shear-flexible plates of composite construction are developed and discussed. Progress hajs thusbeen made in extension of soine theoretical modelings to include more complicated materialproperties based upon the shear deformable plate theory of Reissner type.An asymp-totic expansion is constructed by the perturbation technique proposed for the postbucklingbehaviour of simply supported rectangular plates of composite construction.This approxi-mation may apply in a variety of sandwiches with both orthotropic facings and cores as wellas symmetrically laid laminates taking account of transverse shear deformation.Typicalnumerical examples are presented for the purpose of comparison of the present results withother analytical and computational predictions.It has been demonstrated from observationthat a fairly good agreement is achieved.