Dynamic buckling of cylindrical shells subject to an axial impact in a symplectic system

This paper discusses the dynamic pre-buckling of finite cylindrical shells in the propagation and reflection of axial stress waves. By introducing the Hamiltonian system into dynamic buckling of structures, the problem can be described mathematically in a symplectic space. The solutions of Hamiltoni...

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Bibliographic Details
Published inInternational journal of solids and structures Vol. 43; no. 13; pp. 3905 - 3919
Main Authors Xu, Xinsheng, Ma, Yuan, Lim, C.W., Chu, Hongjie
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2006
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ISSN0020-7683
1879-2146
DOI10.1016/j.ijsolstr.2005.03.005

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Summary:This paper discusses the dynamic pre-buckling of finite cylindrical shells in the propagation and reflection of axial stress waves. By introducing the Hamiltonian system into dynamic buckling of structures, the problem can be described mathematically in a symplectic space. The solutions of Hamiltonian dual equations shown in canonical variables are obtained. The problem is reduced to the determination of eigenvalues and eigensolutions, with the former indicating critical buckling loads and the latter buckling modes. Numerical example presented shows phenomena of axisymmetric and non-axisymmetric dynamic buckling subject to impacts of axial load.
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ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2005.03.005