A van der Pol–Duffing Oscillator Model of Hydrodynamic Forces on Canonical Structures-Reference-Cited by-同舟云学术

A van der Pol–Duffing Oscillator Model of Hydrodynamic Forces on Canonical Structures

Published:2009-08-25 Issue:4 Volume:4 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Akhtar Imran¹,Marzouk Osama A.²,Nayfeh Ali H.²

Affiliation:

1. Interdisciplinary Center for Applied Mathematics, MC 0531, Virginia Tech, Blacksburg, VA 24061

2. Department of Engineering Science and Mechanics, MC 0219, Virginia Tech, Blacksburg, VA 24061

Abstract

Numerical simulations of the flow past elliptic cylinders with different eccentricities have been performed using a parallel incompressible computational fluid-dynamics (CFD) solver. The pressure is integrated over the surface to compute the lift and drag forces on the cylinders. The numerical results of different cases are then used to develop reduced-order models for the lift and drag coefficients. The lift coefficient is modeled with a generalized van der Pol–Duffing oscillator and the drag coefficient is expressed in terms of the lift coefficient. The parameters in the oscillator model are computed for each elliptic cylinder. The results of the model match the CFD results not only in the time domain but also in the spectral domain.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.3192127/5515676/041006_1.pdf

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