有面内张力和剪力的四边支承各向异性平行四边形板振动、屈曲和弯曲的精确解  

Accurate Free Vibration,Buckling and Bending Analysis of Anisotropic Skew Plates under in-Plane Normal and Shear Forces

作　　者：王克林[1] 刘俊卿[1] 

机构地区：[1]西安建筑科技大学,西安710055

出　　处：《应用力学学报》2006年第4期587-591,共5页Chinese Journal of Applied Mechanics

摘　　要：给出了弹性地基上四边支承的各向异性平行四边形板在面内张力和剪力作用下自由振动、屈曲和弯曲问题的精确的解析解。此解是利用叠加法得到的重富立叶级数解。与现有结果的比较验证了解的精确性。并给出了一些固定边和简支边组合的多种倾斜角的平行四边形板的自由振动、屈曲和弯曲的数值结果。The accurate analytical solutions are obtained for the free vibration,buckling and bending of anisotropic skew plates with various boundary conditions resting on elastic bases.Double-Fourier series-type Solutions with fine convergence are sought out according to the superposition principle.A comparison with existing results confirms the accuracy of the solutions the numerical results for anisotropic skew plates with mixed supported edges and various skew angles are presented.

关 键 词：自由振动 屈曲 弯曲 平行四边形板 各向异性 傅里叶级数 

分 类 号：O343.2[理学—固体力学]