复合材料脱层梁的屈曲分析

Buckling Analysis of Composite Beams with Delamination

本文研究了具有任意位置穿透型脱层的复合材料梁的屈曲问题。基于弹性理论建立了复合材料脱层梁的基本方程式。对脱层梁进行了分区处理,利用B样条函数作为位移型函数的基函数,方便地描述了脱层长度、脱层位置。考虑边界条件、区间位移连续性条件和弯矩剪力的平衡条件以及纵向内力的附加条件,对基本方程式进行了求解。得出了脱层位置不同、脱层长度不同的屈曲荷载的变化规律,并与轴对称脱层时的屈曲荷载进行了比较。认为层合梁考虑脱层对屈曲的影响是非常必要的。

In this paper, the buckling analysis of composite beam with across-width arbitrary delamination was investigated. The basic equations were built on the basis of elastic theory. The different sizes and position of delamination were described easily because of the beam being divided into fields and the B-spline functions being applicated to the basic function of the displacement. Considering the boundary conditions, the continuous conditions of the displacements and the equilibrium conditions of the shearing force and moment between the fields, as well as the additional conditions of the normal force, the basic equiations were resolved. The varying regulars of the critical loads of beams with different positions and the sizes of de-lamination are obtained. The comparion of the critical loads with arbitrary and symmetric delamination is given. It is necessary to consider the effects of delamination on the buckling analysis of laminated beam.