对称层合板复合材料的屈曲变形解析

提出了如何利用2 元多项式位移函数来分析层合板复合材料的屈曲问题。在解析中同时 考虑到层合板的面外剪切变形。解析表明屈曲载荷在多项式项数大于20 以上时趋于稳定, 可得到 高精度的解。本文并对对称角铺设层合板进行了系统地数值解析, 明确了在各种边界拘束条件下 材料的工程弹性系数, 层合板长宽比, 铺层数, 层合角对屈曲载荷的影响, 从而以达到优化设计。同 时, 验证了本解析法对任意边界条件下的层合板的屈曲解析是非常有效的。 

BUCKLING ANALYSIS ON SYMMETRICALLY LAMINATED COMPOSITE PLATES

The buckling analysis of symmetrically laminated composite plates loaded in compression and shear is presented by using the pb2 Ritz functions, which consist of the product of a basic function and a two dimensional polynomial function. The outplane shear deformation is also taken into consideration in this analysis. It is shown that the convergence of solutions for the buckling load is good when the number of polynomials is more than 20. Numerical results are obtained for symmetrical angleply laminated composite plates. The effects of material properties, plate aspect ratio, number of layers and lamination angle on buckling load are also investigated under simple supported, clamped edges and combined edge conditions. It is shown that the presented method considering the outofplane shear deformation can be widely used to analyze the buckling behavior of composite plates with general boundary conditions.