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    Stability of Fractional Viscoelastic Pipes Conveying Fluid in the External Cross Flow

    , M.Sc. Thesis Sharif University of Technology Shahali, Pooriya (Author) ; Hosseini Kordkhaili, Ali (Supervisor) ; Haddadpour, Hassan (Co-Advisor)
    Abstract
    In this thesis, the dynamic behavior of a pinned-pinned fractional viscoelastic pipe conveying fluid is examined in the external cross flow. The Galerkin method is employed to discretize the nonlinear coupled equations of motion for viscoelastic pipe conveying fluid in the external cross flow. Consequently, four modes of system are obtained. In addition, direct perturbation method of multiple scale is used to solve the governing nonlinear coupled equations of motion for the fractional viscoelastic pipe conveying pulsating fluid in the external cross flow. Moreover, time response diagrams are drawn in order to investigate under effects of the internal fluid velocity, external fluid reduced...