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 effects of stress wave,the governing equation for non-axisymmetric dynamic buckling of composite cylindrical shells under an axial step load was derived using Hamilton principle.The expression of radial displacement function along the circumferential direction was assumed according to its continuity along the circumferential direction.The analytical solution to the critical load of the dynamic buckling of a composite cylindrical shell and its buckling modes were derived with the variable separation method before the reflection of stress wave.Comparing the critical load with that gained with Ritz method,it was shown that the difference between the two critical loads is equal to the influence term due to rotary inertia.The influences of diameter-thickness ratio,and ply orientation,etc.on the critical load were analyzed with a self-compiled MATLAB-based code.The results showed that the effect of rotary inertia on the critical load can be neglected;the higher the circumferential mode order,the larger the critical load and the more complex the corresponding buckling mode shape.
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