Fluid–structure Resonance Produced by Oncoming Alternating Vortices

Vortex-Induced Vibrations of an Elastic Circular Cylinder

“…Futhermore, the ARMA technique has also been shown by Jadic et al (1998) and So et al (1998) to give correct results on the damping ratios and mode shapes of an elastic airfoil in a flow with discrete vortices. Damping ratio and mode shape are crucial parameters for the understanding of vibrations.…”

“…Various numerical approaches have been proposed in the past to treat the fully coupled problem. A recent proposal is a time-marching technique that iterates for the interaction effects at every time step So et al 1998). The technique was applied to treat the problem of an elastic airfoil in a uniform flow with discrete vortices in the free-stream over a range of Re.…”

Numerical Studies of a Freely Vibrating Cylinder in a Cross-Flow

“…Details of the ARMA technique can be found in Mignolet & Red-Horse (1994) to which interested readers are referred. The use of this technique to analyse time series derived from #ow-induced vibration problems has been attempted by Jadic et al (1998), Zhou et al (1999) and So et al (1999), and their results had been compared with those deduced from the fast Fourier transform method. The method was found to be able to correctly resolve the spectral characteristics and the e!ective damping of 852 the cylinder.…”

Fluid Damping of an Elastic Cylinder in a Cross-Flow

“…This is important, especially when the damping ratio of the #uid}structure system is small and the transfer frequency function shows a sharp peak around the vortex shedding frequency. The ARMA technique has been used by So et al (1999) to determine the damping ratios and mode shapes of an elastic thin aerofoil in #ight. Such information is very di$cult to obtain from the simple FFT method.…”