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    Nonlinear vibrations and chaos in floating roofs

    , Article Journal of Computational and Nonlinear Dynamics ; Volume 7, Issue 2 , January , 2012 ; 15551415 (ISSN) Shabani, R ; Tariverdilo, S ; Salarieh, H ; Sharif University of Technology
    2012
    Abstract
    Variational principle is used to derive the nonlinear response of the floating roof of cylindrical liquid storage tanks due to harmonic base excitations. The formulation accounts for nonlinearity due to large deflections of the floating roof. The derived nonlinear governing equation for the sloshing response of the floating roof has a cubic nonlinear stiffness term similar to the well known Duffing equation. It is shown that accounting for large deflections could substantially reduce the wave elevation for near resonance harmonic excitations. Evaluating the response of the nonlinear model for increasing amplitudes of near resonance harmonic excitations gives rise to the appearance of sub and...