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    Stochastic analysis of nonlinear viscoelastic panels under random excitation

    , Article 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2003, Norfolk, VA, 7 April 2003 through 10 April 2003 ; 2003 ; 9781624101007 (ISBN) Fazelzadeh, S. A ; Pourtakdoust, S. H ; Assadian, N ; Sharif University of Technology
    2003
    Abstract
    Stochastic behavior of viscoelastic panels in supersonic flow under random aerodynamic pressure and inplane forces is investigated. The governing equations of motion are based on the Von Karman's large deflection equation and are considered with Kelvin's model of viscoelastic structural damping. The panel under study is two dimensional and simply supported for which the first order piston theory is used to account for the unsteady aerodynamic loading. Transformation of the governing partial differential equation to a set of ordinary differential equations is performed through the Galerkin averaging technique. The statistical response moment equations are generated for two modes using the... 

    Chaotic analysis of nonlinear viscoelastic panel flutter in supersonic flow

    , Article Nonlinear Dynamics ; Volume 32, Issue 4 , 2003 , Pages 387-404 ; 0924090X (ISSN) Pourtakdoust, S. H ; Fazelzadeh, S. A ; Sharif University of Technology
    2003
    Abstract
    In this paper chaotic behavior of nonlinear viscoelastic panels in a supersonic flow is investigated. The governing equations, based on von Kàrmàn's large deflection theory of isotropic flat plates, are considered with viscoelastic structural damping of Kelvin's model included. Quasi-steady aerodynamic panel loadings are determined using piston theory. The effect of constant axial loading in the panel middle surface and static pressure differential have also been included in the governing equation. The panel nonlinear partial differential equation is transformed into a set of nonlinear ordinary differential equations through a Galerkin approach. The resulting system of equations is solved... 

    Stochastic analysis of nonlinear viscoelastic panels under random excitation

    , Article 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Norfolk, VA, 7 April 2003 through 10 April 2003 ; Volume 6 , 2003 , Pages 4219-4225 ; 02734508 (ISSN) Fazelzadeh, S. A ; Pourtakdoust, S. H ; Assadian, N ; Sharif University of Technology
    American Inst. Aeronautics and Astronautics Inc  2003
    Abstract
    Stochastic behavior of viscoelastic panels in supersonic flow under random aerodynamic pressure and in-plane forces is investigated. The governing equations of motion are based on the Von Karman's large deflection equation and are considered with Kelvin's model of viscoelastic structural damping. The panel under study is two dimensional and simply supported for which the first order piston theory is used to account for the unsteady aerodynamic loading. Transformation of the governing partial differential equation to a set of ordinary differential equations is performed through the Galerkin averaging technique. The statistical response moment equations are generated for two modes using the...