摘要
本文研究两端固支层合复合材料浅拱在阶跃载荷作用下的动力稳定性问题。通过对浅拱动力响应的数值计算结果,然后利用B-R动力屈曲准则,着重分析了集中阶跃载荷作用下几种铺层顺序及铺层数对浅拱动力临界载荷的影响,并给出了能够产生‘跳跃失稳’的最小的结构参数γ_0。此外,在利用伽辽金法求解浅拱动力学控制方程时,通过取梁的自由振动模态和柱的静力屈曲模态作为浅拱的动力屈曲模态,分别进行计算并比较了二者的结果,进而讨论了二级数解的收敛性。
In this paper, the dynamic stability of laminated composite clamped shallow arches is investigated. By use of B-R dynamic buckling criterion, the dynamic buckling loads and the minimal structure geometrical parameters of the arch subjected to concentrated step loading at its center are obtained. The influence of different ply-direction of fabric and numbers of laminating to the buckling loads are analyzed. The convergence of two solutions for the free vibration mode of beam and the buckling mode of column is discussed respectively.
出处
《力学季刊》
CSCD
2000年第3期337-342,共6页
Chinese Quarterly of Mechanics
关键词
铺层
固支浅拱
动力稳定
屈曲模态
复合材料
lamination
clamped shallow arch
dynamic stability
buckling model