有面内张力和剪力作用的简支各向异性平行四边形板自由振动、屈曲和弯曲的精确解  

ACCURATE FREE VIBRATION,BUCKLING AND BENDING ANALYSIS OF ANISOTROPIC SIMPLY-SUPPORTED SKEW PLATES SUBJECTED TO 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：《振动与冲击》2006年第2期93-96,共4页Journal of Vibration and Shock

摘　　要：对简支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、屈曲和弯曲问题作了全面的研究。利用叠加法和本问题所固有的对称性优点得到了重富立叶级数解。与现有结果的比较验证了此法的精确性。文后给出了多种几何条件下的自由振动、屈曲和弯曲的数值结果。A comprehensive study of free vibration, buckling and bending of anisotropic simply-supported skew plates subjected to in-plane normal and shear forces is conducted. Double-Fourier seriestype solutions are obtained by utilizing the superposition method and by taking advantage of symmetry inherent in the problem. Comparisons with existing results confirm the accuracy of the numerical solutions obtained by the method. Results are presented for free vibration and buckling of anisotropic simply-supported skew Plates of a large range of plate geometries.

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：TB123[理学—工程力学]