复合材料叠层结构剖面翘曲修正理论

 首先假设复合材料叠层结构的面内位移沿厚度方向为直线分布,然后根据剪切变形进行连续修正,获得逐步升高的各阶翘曲位移分布函数。文中以叠层梁为例,应用最小势能原理导出其静力方程和力的边界条件。在长度方向则采用升阶谱位移函数,进行了数值计算。所得叠层梁的位移和应力分布的数值结果与精确解相比,表明本文方法有很好的收敛性。

SECTIONAL WARPING CORRECTIVE THEORY FOR COMPOSITE LAMINATED STRUCTURES

The distribution of in-plane displacements in the thickness direction is assumed to be linear for composite laminated structures at first, then successive correct ioa is carried out according to the shear deformation so as to obtain the sectional warping displacement functions of various progressively ascending order. In order to detail the concept, the static equilibrium equation and the mechanical boundary condition for composite laminated beams are derived by use of the principle of minimum potential energy. In the longitudinal direction, hierarchical displacement functions are adopted dluring numerical analysis. The obtained numerical results for both displacement and stress distributions in the thickness direction of a sample composite laminated beam are conpared with the exact solution; as a consequence, very good convergence of the present method is shown.