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An energy conservative symplectic methodology for buckling of cylindrical shells under axial compression

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Abstract

This study concerns a theoretical analysis on the buckling of cylindrical shells under axial compression in a new energy conservative symplectic system. By introducing four pairs of dual variables and employing the Legendre transformation, the governing equations that are expressed in stress function and radial displacement are re-arranged into Hamiltonian’s canonical equations. The critical loads and buckling modes are reduced to solving for symplectic eigenvalues and eigensolutions, respectively. The obtained results conclude that buckling solutions are mainly grouped into two types according to their nature of different buckling modes: non-uniform buckling with deflection localized at the vicinity of the ends and uniform buckling with deformation waves distributed uniformly along the axial direction, and the complete solving space only consists of the basic eigensolutions. The influence of geometric parameters and boundary conditions on the critical loads and buckling modes is discussed in detail, and some insights into this problem are analyzed.

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Authors and Affiliations

  1. State Key Laboratory for Structural Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Jiabin Sun & Xinsheng Xu

  2. Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong, People’s Republic of China

    C. W. Lim

  3. Department of Mechanical Engineering, National University of Singapore, 117576, Singapore, Singapore

    V. B. C. Tan

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  1. Jiabin Sun
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  2. Xinsheng Xu
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  3. C. W. Lim
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  4. V. B. C. Tan
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Correspondence to C. W. Lim.

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Sun, J., Xu, X., Lim, C.W. et al. An energy conservative symplectic methodology for buckling of cylindrical shells under axial compression. Acta Mech 224, 1579–1592 (2013). https://doi.org/10.1007/s00707-013-0814-5

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  • DOI: https://doi.org/10.1007/s00707-013-0814-5

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