An energy method for buckling of cylindrical shell subjected to axial impact of a rigid mass block
XIN Zhaowei1, HAN Zhijun2
1. College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan 030024, China;
2. College of Biomedical Engineering, Taiyuan University of Technology, Taiyuan 030024, China
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.
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 Zhaowei1, HAN Zhijun2. An energy method for buckling of cylindrical shell subjected to axial impact of a rigid mass block. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(8): 263-268.
[1]ZIMICIK D G,TENNYSON R C. Stability of circular cylindrical shells under transient axial impulsive loading [J].AIAA Journal,1980,18(5):691-699.
[2]LO LEPIK . Bifurcation analysis of elastic-plastic cylindrical shells[J]. International Journal of Non-Linear Mechanics,1999,34(2):299-311.
[3]BISAGNI C.Numerical analysis and experimental correlation of composite shell buckling and post-buckling[J].Composites Part B,2000,31(8):655-667.
[4]BISAGNI C. Dynamic buckling of fiber composite shells under impulsive axial compression[J].Thin-Walled Structures,2005,43(3):499-514.
[5]KARAGIOZOVA D, JONES N. Influence of stress waves on the dynamic progressive and dynamic plastic buckling of cylindrical shells[J].International Journal of Solids & Structures,2001,38(38):6723-6749.
[6]KARAGIOZOVA D, ALVES M. Transition from progressive buckling to global bending of circular shells under axial impact-Part I: experimental and numerical observations[J].International Journal of Solids & Structures,2004,41(5):1565-1580.
[7]XU X S, YUAN M, LIM C W,et al. Dynamic buckling of cylindrical shells subject to an axial impact in a symplectic system[J].International Journal of Solids & Structures,2006, 43(13):3905-3919.
[8]SUN J B, XU X S, LIM C W. Dynamic buckling of cylindrical shells under axial impact in hamiltonian system[J].International Journal of Nonlinear Sciences and Numerical Simulation,2012,13(1):93-97.
[9]FAN H G, CHEN Z P, FENG W Z, et al. Dynamic buckling of cylindrical shells with arbitrary axisymmetric thickness variation under time dependent external pressure[J].International Journal of Structural Stability & Dynamics,2015,15(3):21.
[10]CHEN Z, FAN H, JIAN C,et al. Buckling of cylindrical shells with measured settlement under axial compression[J].Thin-Walled Structures,2018,123:351-359.
[11]桂夷斐,马建敏.阶梯圆柱壳在轴向冲击载荷作用下的屈曲计算分析[J]. 振动与冲击,2019, 38(1): 208-213.
GUI Yifei,MA Jianmin.Buckling of step cylindrical shells under axial impact load[J]. Journal of Vibration and Shock,2019, 38(1): 208-213.
[12]KARAGIOZOVA D, ALVES M, JONES N. Inertia effects in axisymmetrically deformed cylindrical shells under axial impact[J]. International Journal of Impact Engineering,2000,24(10):1083-1115.
[13]KARAGIOZOVA D, JONES N. On dynamic buckling phenomena in axially loaded elastic-plastic cylindrical shells[J]. International Journal of Non-Linear Mechanics,2002, 37(7):1223-1238.
[14]顾红军,赵国志,陆廷金,等.轴向冲击下薄壁圆柱壳的屈曲行为的实验研究[J]. 振动与冲击,2004,23(4):58-59.
GU Hongjun,ZHAO Guozhi,LU Tingjin,et al. Buckling of thin-wall cylindrical shell under axial impact[J]. International Journal of Non-Linear Mechanics,2004,23(4):58-59.
[15]马健,燕瑛,杨雷.含孔复合材料圆柱壳冲击破坏试验与有限元分析[J]. 航空学报,2012, 33(5):871-878.
MA Jian,YAN Ying,YANG Lei.Experiments and finite element analysis of laminated composite cylindrical shells with circular hole subjected to dynamic loads[J].Acta Aeronautica et Astronautica Sinica, 2012, 33(5):871-878.
[16]张光远.刚性快轴向撞击杆的动力屈曲的数值法研究[D].太原:太原理工大学,2018.