Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads

MA Jian-qing; XU  Xin-sheng

doi:10.3879/j.issn.1000-0887.2014.05.005

Volume 35 Issue 5

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2014 > 35(5): 510-522

MA Jian-qing, XU Xin-sheng. Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads[J]. Applied Mathematics and Mechanics, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005

Citation:

MA Jian-qing, XU Xin-sheng. Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads[J]. Applied Mathematics and Mechanics, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005

Citation:

MA Jian-qing, XU Xin-sheng. Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads[J]. Applied Mathematics and Mechanics, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005

PDF( 4294 KB)

Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads

doi: 10.3879/j.issn.1000-0887.2014.05.005

MA Jian-qing¹,
XU Xin-sheng²

¹Mechanical Engineering College, Xi’an Shiyou University, Xi’an 710065, P.R.China;²State Key Laboratory of Structural Analysis for Industrial Equipment; Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Received Date: 2013-08-08
Rev Recd Date: 2013-12-10
Publish Date: 2014-05-15

Abstract

Abstract

In consideration of the stress wave propagation under axial-torsional coupled impact loads, the dynamic buckling of elastic long cylindrical shells was investigated. The Hamiltonian system for the problem was established firstly. Then, accordingly, the critical buckling loads and buckling modes were converted to a problem of eigenvalues and eigensolutions in the symplectic space. By means of the Hamiltonian system a perfect buckling space was given, and the relations of how the critical loads and buckling modes corresponded to the symplectic eigenvalues and eigensolutions in the symplectic space were revealed. Due to the different propagation velocities of the axial stress wave and torsional stress wave, progress and reflection of the longitudinal wave and transverse wave were not synchronous within a cylindrical shell. So the cylindrical shell was divided into three regions with respective different stress, displacement and boundary conditions. The numerical results of critical load curves and buckling modes under clamped and simple boundary conditions were given. Especially, the different first-order buckling modes were discussed detailedly.
- Hamiltonian system,
- cylindrical shell,
- dynamic buckling,
- coupled impact,
- stress wave

FullText(HTML)

References(10)

References

[1]	Bisagni C, Cordisco C. An experimental investigation into the buckling and post-buckling of CFRP shells under combined axial and torsion loading[J].Composite Structures,2003,60(4): 391-402.
[2]	Bisagni C, Cordisco P. Post-buckling and collapse experiments of stiffened composite cylindrical shells subjected to axial loading and torque[J].Composite Structures,2006,73(2): 138-149.
[3]	Miyazaki N. Creep buckling analysis of circular cylindrical shell under both axial compression and internal or external pressure[J].Composite Structures,1988,28(4): 437-441.
[4]	Azam T. Delaminating buckling and post buckling in composite cylindrical shells under combined axial compression and external pressure[J].Composite Structures,2006,〖STHZ〗72(4): 401-418.
[5]	Diaconu C G, Sato M, Sekine H. Buckling characteristics and layup optimization of long laminated composite cylindrical shells subjected to combined loads using lamination parameters[J].Composite Structures,2002,58(4): 423-433.
[6]	黄承义, 刘土光, 郑际嘉. 圆柱壳在径向冲击载荷作用下的弹性脉冲屈曲[J].应用数学和力学, 1996,17(8): 735-741.(HUANG Cheng-yi, LIU Tu-guang, ZHENG Ji-jia. Elastic pulse buckling of cylindrical shells under radial impulsive loading[J].Applied Mathematics and Mechanics,1996,17(8): 735-741.（in Chinese）)
[7]	吴斌, 韩强, 杨桂通. 正交异性圆柱壳受冲扭联合作用的弹性波传播[J]. 北京工业大学学报, 1999,25(4): 23-28, 34.（WU Bing, HAN Qiang, YANG Gui-tong. Action of axial impact and torsion[J].Journal of Beijing Polytechnic University,1999,25(4): 23-28, 34.(in Chinese)）
[8]	王德禹, 张善元, 杨桂通. 刚塑性圆柱壳的冲击扭转屈曲[J]. 应用数学和力学, 1993,14(8): 659-664.(WANG De-yu, ZHANG Shan-yuan, YANG Gui-tong. The impact torsional buckling for the rigid plastic cylindrical shell[J]. Applied Mathematics and Mechanics,1993,14(8): 659-664.(in Chinese）)
[9]	姚伟岸, 钟万勰. 辛弹性力学[M]. 北京: 高等教育出版社, 2002.(YAO Wei-an, ZHONG Wan-xie.Symplectic Elasticity [M]. Beijing: Higher Education Press, 2002.(in Chinese))
[10]	XU Xin-sheng, MA Yuan, Lim C W, CHU Hong-jie. Dynamic buckling of cylindrical shells subject to an axial impact in a symplectic system[J].International Journal of Solids and Structures,2006,43(13): 3905-3919.