复合材料层合板在非保守力作用下的动力稳定性

利用弹性非保守系统自激振动的拟固有频率变分原理,推导出复合材料矩形板受非保守随从力作用的变分方程,进而导出此问题的有限元基本方程及求解临界力和固有频率的特征方程。用载荷增量法计算了在多种边界条件下不同边长比的复合材料矩形板在面内受随从力作用的临界载荷,分析了不同角铺设方向及两种材料组合板的临界载荷。计算结果表明,边界条件对层合板的动力稳定性有较大影响,复合材料层合板的角铺设方向对临界载荷有较大影响。

DYNAMIC STABILITY OF COMPOSITE LAMINATES UNDER NON-CONSERVATIVE FORCES

In this paper, the variation equation of the composite rectangular laminate plates subjected to uniformly distributed follower forces is deduced based on the variation principle of the quasi natural frequency of the non conservative system self excited vibration. The basic equations of the finite element and the characteristic equations used to solve the critical loading and natural frequency are obtained. The critical loads are computed for composite rectangular plates bearing follower forces with various boundary conditions and different aspect ratios. It is concluded from the analysis that boundary conditions affect the dynamic stability and the buckling pattern of plates. The angle ply directions of composite laminate plates have an influence on the buckling load.