Vortex-induced vibrations of flexible circular cylinders and galloping
oscillations of square prisms are controlled using a robust continuou
s sliding mode (CSM) controller. The ability of the CSM controller in
rejecting the pow-induced disturbances and accommodating parameter unc
ertainties is numerically demonstrated. In the present study, emphasis
is placed on the development of theoretical models that describe the
inter action between the flexible structures, the flow-induced excitat
ion, and the CSM controller. In our development, the vortex-induced vi
brations are based on the lift-oscillator model of Hartlen and Currie
and the galloping phenomenon is described using Parkinson and Smith's
model. The effectiveness of the CSM controller in suppressing the pow-
induced vibrations of cylinders and square prisms is evaluated at vari
ous flow conditions and levels of structural uncertainties. The effect
of the design parameters of the CSM controller on its performance is
also investigated. Tl?he results obtained in the study suggest the pot
ential of the robust control strategy presented as an important tool f
or rejecting undesirable and unmeasurable disturbances acting on criti
cal structures that have considerably large parameter uncertainties. (
C) 1995 John Wiley & Sons, Inc.