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

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (8) : 263-268.

XIN Zhaowei1, HAN Zhijun2

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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.

Key words

stress wave / energy method / analytical solution / dynamic buckling / rigid mass

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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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