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Dynamic Buckling of Cylindrical Shells under Axial Impact in Hamiltonian System

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Indexed by: Journal Article

Date of Publication: 2012-02-01

Journal: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Included Journals: SCIE

Volume: 13

Issue: 1

Page Number: 93-97

ISSN: 1565-1339

Key Words: Axial impact; dynamic buckling; cylindrical shell; stress wave; Hamiltonian system

Abstract: In this paper, the dynamic buckling of an elastic cylindrical shell subjected to an axial impact load is analyzed in Hamiltonian system. By employing a symplectic method, the traditional governing equations are transformed into Hamiltonian canonical equations in dual variables. In this system, the critical load and buckling mode are reduced to solving symplectic eigenvalues and eigensolutions respectively. The result shows that the critical load relates with boundary conditions, thickness of the shell and radial inertia force. And the corresponding buckling modes present some local shapes. Besides, the process of dynamic buckling is related to the stress wave, the critical load and buckling mode depend upon the impacted time. This paper gives analytically and numerically some new rules of the buckling problem, which is useful for designing shell structures.

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