层合板在压剪载荷下屈曲分析的三角有限差分法
THE TRIANGULAR FINITE DIFFERENCE METHOD ON THE BUCKLING ANALYSIS OF COMPOSITE LAMINATE UNDER COMPRESSION AND SHEAR
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摘要: 本文利用J.M.Housner和M.Stein采用过的、具有以较少的自由度获得较精确结果优点的三角有限差分方法,对复合材料加筋层合板的总位能表达式进行单元划分后的差分变换,再利用能量变分原理导出以差分节点挠度为未知特征向量、外加均布载荷为未知特征值的矩阵形式的屈曲控制方程。对在简支、固支或用挠曲弹簧和弯曲弹簧模拟的弹性支持情况下,承受面内单向压力、剪切或压、剪联合载荷作用的复合材料加筋层合板进行了有效的屈曲分析。文中对以上几种情况进行了数值计算,计算结果同实验结果吻合良好。Abstract: The buckling of composite laminate with stiffeners under loads in plate (axial compression、shear and loads combined compression and shear) is investigated by means of the triangular finite difference method and energy variational principle in this paper.For the problem under study,the normal simple and clamp support boundary conditions are considered,but the lateral deflection springs and bending springs are used as well to simulate the elastic support boundary conditions.The buckling governing equation in matrix is deduced in detail,in which the eigen values are loads in plane and the eigen vectors are difference point deflections.Numerical results are given for several kinds of composite laminates with stiffeners under loads in plane and compared with experimental results.