Modified higher-order wake oscillator model for vortex-induced vibration of circular cylinders

In the present study, a modified model is introduced to estimate the structural oscillation amplitude of a circular cylinder during lock-in in the vortex-induced vibration phenomenon. The modified model includes the same van der Pol term as in the classic model, while its coefficients are assumed to...

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Bibliographic Details
Published in:Acta mechanica 2013-07, Vol.224 (7), p.1441-1456
Main Authors: Farshidianfar, A., Dolatabadi, N.
Format: Article
Language:English
Subjects:
Amplitudes
Analysis
Classical and Continuum Physics
Control
Damping
Dynamical Systems
Engineering
Engineering Thermodynamics
Fluid mechanics
Heat and Mass Transfer
Mathematical analysis
Mathematical models
Oscillations
Oscillators
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
Vibration analysis
Vortex-induced vibrations
Wakes
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Summary:In the present study, a modified model is introduced to estimate the structural oscillation amplitude of a circular cylinder during lock-in in the vortex-induced vibration phenomenon. The modified model includes the same van der Pol term as in the classic model, while its coefficients are assumed to be variable. This modified model is utilized to bring about compliance between theoretical solution and experimental results. Then, a fifth-order aerodynamic term is added, and the coefficients are modified and optimized using a new straightforward solution method. Here, the displacement, velocity and acceleration coupling terms are used to solve the system of equations. The response of the coupled equations is assumed to be harmonic. A linear approach is adopted to simplify and derive the solutions algebraically. The results are plotted during lock-in for amplitude as a function of reduced velocity and for maximum structural oscillation amplitude versus Skop–Griffin parameter. Finally, these results are compared with those of the classic wake oscillator model. The present modified model evinces an exact compliance with experimental measurements regarding structural oscillation amplitude, lock-in range, some hysteresis and mass damping ratio attributes, and reduces sensitivity to the type of coupling term through adding the fifth-order damping term.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-013-0819-0