R.H.M.
Ogink, A.V. Metrikine 
A wake oscillator with frequency dependent
coupling for the modelling of vortexinduced vibration

Journal of Sound
and Vibration 
Summary. In this paper a wake oscillator for
the modelling of vortexinduced vibration is presented in which the coupling
term between the wake equation and the equation of structural motion is made
frequency dependent. The wake behavior is modeled with a Van der Pol equation. Attention has been paid to properly include
the effects of stall in the fluid forces. The relation between the inphase
and outofphase frequency dependent coupling coefficients is in the
frequency domain given by the KramersKronig
relation. The frequency dependent coupling can be applied in the time domain
through a convolution integral. The kernel of this convolution integral is
given by the inverse 