阻尼约束的圆柱壳在轴向冲击载荷作用下的屈曲分析  

Buckling analysis of axially impacted cylindrical shells with damping constraint

作　　者：桂夷斐 周文君 马建敏 Gui Yifei;Zhou Wenjun;Ma Jianmin(Department of Aeronautics and Astronautics,Fudan University,200433,Shanghai,China;School of Mechanical Engineering,Shanghai DianJi University,201306,Shanghai,China)

机构地区：[1]复旦大学航空航天系,上海200433 [2]上海电机学院机械学院,上海201306

出　　处：《应用力学学报》2020年第6期2496-2502,I0013,共8页Chinese Journal of Applied Mechanics

摘　　要：建立并求解了受径向阻尼约束圆柱壳的径向位移控制方程,考虑边界条件及相容条件,得到了应力波传播及反射过程中圆柱壳的动力屈曲分叉条件。通过计算得到了应力波传播及反射过程中屈曲临界载荷与应力波传播时间、径向阻尼的关系,以及有阻尼约束和无阻尼约束条件下圆柱壳的屈曲模态。数值计算结果表明:阻尼约束圆柱壳发生轴对称和非轴对称屈曲情况下,临界载荷关于应力波传播时间、径向阻尼的趋势一致;临界载荷随波传播时间的增加逐渐降低并趋于平缓;径向阻尼使圆柱壳的抗动力屈曲能力增强,且应力波反射后圆柱壳从低阶轴向屈曲到高阶轴向屈曲比反射前更容易;径向加阻尼约束后圆柱壳的屈曲模态形状与不加阻尼约束时保持一致。The radial governing equation of cylindrical shells with damping constraint is established and solved. The bifurcated conditions of dynamic buckling before and after reflection are obtained, considering the boundary conditions and the consistency conditions. The relationships among critical buckling load, the position where wave front reach at cylindrical shells and the radial damping coefficient are acquired through numerical calculation. Numerical results show that there is same trend in axisymmetric and non-axisymmetric buckling of cylindrical shells with damping constraint. The critical buckling load decreases with increasing the buckling time, and becomes more and more gentle. Radial damping constraint enhances the anti-buckling capacity of cylindrical shells, and in axial direction, it is easier for cylindrical shells to buckle from lower order to higher order after reflection than before reflection. The buckling mode shape of cylindrical shell with radial damping constraint is consistent with that without damping constraint.

关 键 词：圆柱壳 阻尼约束 轴向冲击 应力波 临界载荷 

分 类 号：O3434.9[理学—固体力学]