在中面载荷作用下正交各向异性矩形板后屈曲行为分析

本文利用摄动法和广义傅氏级数法分析了在中面载荷作用下正交各向异性矩形板后屈曲行为,对几种典型的纤维增强环氧复合材料矩形板后屈曲行为给出了结果,可供工程设计应用参考。

POSTBUCKLING BEHAVIOR OF ORTHOTROPIC RECTANGULAR PLATES UNDER IN-PLANE LOADING

In this paper, a theoretical analysis is presented for the postbuckling behaviour of arbitrary supported orthotropic rectangular plates subjected to combined in-plane biaxial compression and edge shear. By a perturbation technique, the nonlinear coupled partial differential equations are reduced to a system of uncoupled linear partial differential equations and are then solved by the double Fourie series method in which the transverse deflection and force function are expressed in the form of double series consisting of the appropriate beam functions. Numerical results are obtained for three types of fiber-reinforced composite plates. The effect of material properties, aspect ratio and load parameter on the postbuckling behaviour is discussed. The results obtained in this paper are compared with the available data and are in good agreement with them.