Cross-flow-induced instability and nonlinear dynamics of cylinder arrays with consideration of initial axial load |
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Authors: | L Wang H L Dai Y Y Han |
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Institution: | 1.Department of Mechanics,Huazhong University of Science and Technology,Wuhan,China;2.Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment,Wuhan,China |
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Abstract: | The instability and nonlinear dynamics of planar motions of a cylinder array subjected to cross-flow have been studied via
a five-mode discretization of the governing partial differential equation, focusing on the effect of initial axial load externally
imposed on the cylinder. Theoretical results based on a stability analysis have indicated that, with increasing initial axial
load and flow velocity, the system may lose stability either via flutter or via buckling. The boundaries of these two forms
of instability are predicted analytically. To explore the post-instability dynamics of the system, a Runge–Kutta scheme is
used to solve the nonlinear governing equation of motion. Three typical behaviors, including limit cycle motions of the system,
are obtained. It is shown that, for relatively low flow velocity, with increasing initial axial load, just beyond the pitchfork
bifurcation the cylinder would settle in a buckled equilibrium position; and for high flow velocity, however, this phenomenon
only occurs when the initial axial load becomes sufficiently large. |
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Keywords: | |
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