Cf. Christensen et Jb. Roberts, PARAMETRIC IDENTIFICATION OF VORTEX-INDUCED VIBRATION OF A CIRCULAR-CYLINDER FROM MEASURED DATA, Journal of sound and vibration, 211(4), 1998, pp. 617-636
A non-linear, single-degree-of-freedom model is developed to describe
the vortex-induced, transverse vibration of a circular cylinder, elast
ically suspended in a wind flow. The model is appropriate for predicti
ng the dynamic response during lock-in conditions. The ''linear-in-the
parameters'' nature of the model allows the formulation of a relative
ly simple and computationally very efficient procedure for estimating
all the unknown parameters in the model. The method, based on the use
of a state variable filter, enables the parameters to be estimated rec
ursively by processing digitized records of the cylinder dynamic respo
nse. The technique is validated by applying it to both simulated data,
where the parameters are known a priori, and to real data obtained fr
om an experimental rig placed in a wind tunnel. For the experimental d
ata, which relates to time-varying wind flow conditions, representing
the natural wind, it is shown that the estimation technique allows the
response during lock-in events to be isolated and treated separately.
A reasonably good fit to the experimental data is obtained and the re
sulting estimates of the mean values of the parameters are found to co
nverge satisfactorily. (C) 1998 Academic Press Limited.