Abstract
In this paper, the nonlinear forced vibrations and stability of an axially moving large deflection plate immersed in fluid are investigated. Based on von Karman’s large deflection plate theory and taking into consideration the influence of fluid–structure interaction, axial moving and axial tension, nonlinear dynamic equations are obtained by applying D’Alembert’s principle. These dynamic equations are further discretized into ordinary differential equations via the Galerkin method. The frequency–response curves of system are obtained and examined. Then numerical method is used to analyze the bifurcation behaviors of immersed plate. Results show that as the parameters vary, the system displays periodic, multi-periodic, quasi-periodic and even chaotic motion. Through the analysis on global dynamic characteristics of fluid–structure interaction system, rich and varied nonlinear dynamic characteristics are obtained, and various ways that lead to chaotic motion of the system are further revealed.
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