A new displacement model for nonlinear vibration analysis of fluid-conveying anisotropic laminated tubular beams resting on elastic foundation

Abstract

A new displacement model for nonlinear vibration analysis of fluid-conveying anisotropic laminated tubular beams resting on a Pasternak-type foundation is presented. Based on Hamilton's principle, the motion equations and boundary conditions are obtained by using a new high-order shear deformation tubular beam model with a von Kármán-type of kinematic nonlinearity, in which warping, shear deformation and rotational moment of inertia of cross-section and contributions of the relationship of exact curvature are considered. A numerical solution using the differential quadrature method (DQM) with an iterative algorithm is employed to determine the nonlinear frequencies and amplitude-frequency responses of fluid-conveying anisotropic laminated tubes with different boundary conditions. A detailed parametric study is conducted to analyze influence of different type of boundary conditions, and geometrical and physical properties. Numerical results demonstrate that the geometrical and physical properties, elastic foundation, boundary conditions, initial geometry imperfection, critical flow velocity and frequency-response of the fluid-conveying tubes have significant effect on dynamic behavior of anisotropic laminated composite tubes.