A symplectic method and dynamic buckling of elastic cylindrical shells under both axial impact and internal or external pressure

XU Xin-sheng; DUAN Zheng; MA Yuan; CHU Hong-jie

doi:10.11883/1001-1455(2007)06-0509-06

Volume 27 Issue 6

Oct. 2014

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XU Xin-sheng, DUAN Zheng, MA Yuan, CHU Hong-jie. A symplectic method and dynamic buckling of elastic cylindrical shells under both axial impact and internal or external pressure[J]. Explosion And Shock Waves, 2007, 27(6): 509-514. doi: 10.11883/1001-1455(2007)06-0509-06

Citation:

XU Xin-sheng, DUAN Zheng, MA Yuan, CHU Hong-jie. A symplectic method and dynamic buckling of elastic cylindrical shells under both axial impact and internal or external pressure[J]. Explosion And Shock Waves, 2007, 27(6): 509-514. doi: 10.11883/1001-1455(2007)06-0509-06

Citation:

XU Xin-sheng, DUAN Zheng, MA Yuan, CHU Hong-jie. A symplectic method and dynamic buckling of elastic cylindrical shells under both axial impact and internal or external pressure[J]. Explosion And Shock Waves, 2007, 27(6): 509-514. doi: 10.11883/1001-1455(2007)06-0509-06

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A symplectic method and dynamic buckling of elastic cylindrical shells under both axial impact and internal or external pressure

doi: 10.11883/1001-1455(2007)06-0509-06

1.
State Key Laboratory of Structure Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, Liaoning, China

Publish Date: 2007-11-25

Abstract

Abstract

The dynamic pre-buckling of finite cylindrical shells was discussed under both axial impact and internal or external pressure. A Hamiltonian system was constructed for the fundamental problem of the dynamic buckling, thereby problems of critical loads and buckling modes were reduced to determinations of eigenvalues and eigensolutions in a symplectic space and a symplectic method was proposed. Modes of the non-axisymmetric buckling were obtained by the proposed method. Numerical results show the critical loads, buckling modes and some phenomena for cylindrical shells.
- solid mechanics,
- dynamic buckling,
- symplectic method,
- elastic cylindrical shell,
- Hamiltonian system,
- coupled load

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