scholarly journals Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators

2012 ◽  
Vol 53 ◽  
pp. 83-97 ◽  
Author(s):  
Narakorn Srinil ◽  
Hossein Zanganeh
Keyword(s):  
Cross Flow ◽  
Van Der Pol ◽  
Line Vortex ◽  
Vortex Induced Vibrations ◽  
Van Der Pol Oscillators

Characterization of Variable Hydrodynamic Coefficients and Maximum Responses in Two-Dimensional Vortex-Induced Vibrations With Dual Resonances

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Hossein Zanganeh ◽  
Narakorn Srinil
Keyword(s):  
Cross Flow ◽  
Numerical Approach ◽  
Mass Force ◽  
Hydrodynamic Coefficients ◽  
Two Dimensional ◽  
Numerical Predictions ◽  
Vortex Induced Vibrations ◽  
Van Der Pol Oscillators ◽  
Force Components ◽  
Oscillation Frequencies

A phenomenological model and analytical–numerical approach to systematically characterize variable hydrodynamic coefficients and maximum achievable responses in two-dimensional vortex-induced vibrations with dual two-to-one resonances are presented. The model is based on double Duffing and van der Pol oscillators which simulate a flexibly mounted circular cylinder subjected to uniform flow and oscillating in simultaneous cross-flow/in-line directions. Depending on system quadratic and cubic nonlinearities, amplitudes, oscillation frequencies and phase relationships, analytical closed-form expressions are derived to parametrically evaluate key hydrodynamic coefficients governing the fluid excitation, inertia and added mass force components, as well as maximum dual-resonant responses. The amplification of the mean drag is ascertained. Qualitative validations of numerical predictions with experimental comparisons are discussed. Parametric investigations are performed to highlight the important effects of system nonlinearities, mass, damping, and natural frequency ratios.

Vortex-Induced Waves Along Cables

2002 ◽  
Author(s):  
Matteo L. Facchinetti ◽  
Emmanuel de Langre ◽  
Francis Biolley
Keyword(s):  
Traveling Wave ◽  
Continuous Distribution ◽  
Wake Vortex ◽  
Order Model ◽  
Near Wake ◽  
Van Der Pol ◽  
Vortex Induced Vibrations ◽  
Model Dynamics ◽  
Van Der Pol Oscillators ◽  
Coupling Terms

A low-order model for transverse vortex-induced vibrations of cables in stationary uniform flow is analyzed. The near wake vortex street is modeled by a continuous distribution of nonlinear van der Pol oscillators, arranged along the spanwise extent of the structure and interacting by diffusion and stiffness. The structure, described as a classical tensioned cable, is forced by the fluid via a linear fluctuating lift model and reacts on the fluid through different linear actions. The model dynamics is investigated analytically and discussed with respect to the choice of the coupling terms, then verified by numerical simulations, in comparison with literature data. Discussion follows on the effectiveness of the linear inertial action of the structure on the fluid in describing, qualitatively and quantitatively, the main features of vortex-induced vibrations phenomenology, and standing versus traveling wave behavior.

Asymptotic Wave Solutions for the Model of a Medium with Van Der Pol Oscillators

2014 ◽  
Vol 59 (9) ◽  
pp. 932-938
Author(s):  
V.A. Danylenko ◽  
◽  
S.I. Skurativskyi ◽  
I.A. Skurativska ◽  
◽  
...  
Keyword(s):  
Van Der Pol ◽  
Wave Solutions ◽  
Van Der Pol Oscillators
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