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Research on dynamical buckling of imperfect stiffened three-layered toroidal shell segments containing fluid under mechanical loads

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Abstract

An analytical approach to the nonlinear dynamical buckling of imperfect stiffened three-layered toroidal shell segments containing fluid is performed in this paper. The toroidal shell segments are reinforced by ring and stringer stiffeners system in which the material properties of the shell are assumed to be continuously graded in the thickness direction. Based on the classical thin shell theory with geometrical nonlinearity in von Karman–Donnell sense, Stein and McElman assumption, theoretical formulations are derived with the smeared stiffeners technique. Furthermore, the dynamical pressure of the fluid is taken into account. The fluid is assumed to be non-viscous and ideally incompressible. The dynamical critical buckling loads are evaluated by the Budiansky–Roth criterion in three cases: axial compression and lateral pressure with movable and immovable boundary conditions are obtained using the Galerkin method. Moreover, effects of geometrical and material parameters, imperfection and fluid on the nonlinear dynamical buckling behavior of shells are shown in the obtained results.

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Authors and Affiliations

  1. Department of Mathematics, Mechanics and Informatics, Vietnam National University, No. 144 Xuan Thuy Street, Cau Giay District, Hanoi, Vietnam

    Dao Huy Bich

  2. School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam

    Dinh Gia Ninh

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  1. Dao Huy Bich
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  2. Dinh Gia Ninh
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Correspondence to Dinh Gia Ninh.

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Bich, D.H., Ninh, D.G. Research on dynamical buckling of imperfect stiffened three-layered toroidal shell segments containing fluid under mechanical loads. Acta Mech 228, 711–730 (2017). https://doi.org/10.1007/s00707-016-1724-0

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  • DOI: https://doi.org/10.1007/s00707-016-1724-0

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