【摘要】 利用双重Fourier级数展开和Galerkin方法获得单向轴压和简支边界条件下压电矩形薄板后屈曲问题的解析解 .发现几何参数对屈曲路径的影响与各向同性板类似 ,后屈曲荷载与压电 -电介质综合参数有线性关系 ,后屈曲路径中存在材料共振现象 .最后分析材料参数和几何参数对后屈曲路径的影响更多还原

【Abstract】 By applying the double Fourier series as the displacement mode and the Galerkin procedure, the exact solution of the non-linear post-buckling of transversely isotropic piezoelectric rectangular thin plates under simply supported boundary conditions and unilateral pressure is obtained. Numerical results show that the effect of geo- metry parameters on the post-buckling path are similar to those of homogenous material thin plates, the post-buckling loads is proportional to the piezoelectric-dielectric parameter, and the material resonance phenomena is observed as well. The effects of parameters of the material and geometry on the characteristics of the post-buckling path are also presented.更多还原