摘要
考虑应力波效应,通过Hamilton原理得到轴向阶跃荷载下复合材料圆柱壳非轴对称动力屈曲控制方程。根据圆柱壳周向连续性设出径向位移的周向函数形式,使用分离变量法得到应力波反射前复合材料圆柱壳动力屈曲临界荷载解析解及屈曲模态,将该结果与里兹法所得结果进行了对比,结果表明两种方法所得临界荷载差值等于转动惯性的影响项。用MATLAB软件编程分析了径厚比、铺层角度等因素对临界荷载的影响。结果表明转动惯性对圆柱壳动力屈曲临界荷载的影响可以忽略,环向模态数越大,临界荷载越大且对应的屈曲模态图越复杂。
Considering the effect of stress wave, the non-axisymmetric dynamic buckling governing equation of composite cylindrical shells under axial step load is derived by using the Hamilton principle. The expression of radial displacement function along the circumferential direction is got since the cylindrical shell is closed. The analytical solution of the critical load on the dynamic buckling of composite cylindrical shell and buckling modes can be obtained based on Variable Separation method before the reflection of stress wave. Comparing the critical load with the result got by Ritz method, the results show that the difference between them is equal to the value caused by rotational inertia. The influences of diameter-thickness ratio, ply orientations, etc. on critical load are analyzed by programming with MATLAB software, and the results show that the critical load will increase and the buckling modes will be more complex for high circumferential modes, and the effect of rotational inertia on critical load can be neglected.
作者
孟豪
韩志军
路国运
Meng Hao Han Zhi-jun Lu Guo-yun(College of Mechanics, Taiyuan University of Technology, Taiyuan 030024 College of Architecture and Civil Engineering, Taiyuan University of Technology 030024)
出处
《振动与冲击》
EI
CSCD
北大核心
2017年第11期27-30,78,共5页
Journal of Vibration and Shock
基金
国家自然科学基金(11372209)
关键词
复合材料
应力波
动力屈曲
非轴对称
解析解
composite
stress wave
dynamic buckling
non-axisymmetric
analytical solution
