基于能量法研究刚性质量块轴向撞击圆柱壳的屈曲

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (8) : 263-268.

论文

辛朝炜1，韩志军2

作者信息 +

An energy method for buckling of cylindrical shell subjected to axial impact of a rigid mass block

XIN Zhaowei1, HAN Zhijun2

Author information +

文章历史 +

摘要

基于能量法，考虑应力波效应，研究了刚性质量块撞击圆柱壳的屈曲问题。建立拉格朗日函数，将其和计算获得的符合边界条件的准试函数代入第二类拉格朗日方程，得到二阶线性偏微分方程，分析方程解的特性，得到刚性质量块撞击圆柱壳屈曲临界速度的解析表达式。算例分析讨论了临界长度、冲击质量、轴向模态数、环向模态数、径厚比对屈曲的影响。结果表明：应力波效应、初始冲击动能、径厚比对圆柱壳的动力屈曲有明显影响；高速冲击易激发屈曲的高阶模态、也容易在径厚比较小时激发圆柱壳的屈曲。

Abstract

Based on an energy method and considering the stress wave effect, the buckling problem of a cylindrical shell subjected to a rigid mass was studied. The Lagrange function and the trial function satisfied the boundary condition were substituted into the second Lagrange equation. After the second-order linear partial differential equation was obtained, the analytical expression of the critical buckling speed of a rigid mass impacting cylindrical shell was obtained by analyzing the properties of the equations. The influence of critical length, impact mass, axial mode number, circumferential mode number and diameter-thickness ratio on buckling was discussed by analyzing the examples. The results show that the stress wave effect, initial kinetic energy, and diameter-thickness ratio have a significant effect on the dynamic buckling of cylindrical shells; the higher-order modes of buckling and the buckling of cylindrical shell were easily motivated by high-speed impact.

导出引用

辛朝炜1，韩志军2. 基于能量法研究刚性质量块轴向撞击圆柱壳的屈曲[J]. 振动与冲击, 2021, 40(8): 263-268

XIN Zhaowei1, HAN Zhijun2. An energy method for buckling of cylindrical shell subjected to axial impact of a rigid mass block[J]. Journal of Vibration and Shock, 2021, 40(8): 263-268

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