D. Brika et A. Laneville, AN EXPERIMENTAL-STUDY OF THE AEOLIAN VIBRATIONS OF A FLEXIBLE CIRCULAR-CYLINDER AT DIFFERENT INCIDENCES, Journal of fluids and structures, 9(4), 1995, pp. 371-391
This paper deals with an experimental investigation of the free vortex
-induced oscillations of a flexible circular cylinder vibrating in a p
lane, at an angle alpha with respect to the cross-flow direction. The
dynamic response of the vibrating system (damping ratio zeta congruent
-to 10(-4)) to different wind speeds shows a hysteresis, with two bran
ches and two discontinuities. As alpha is increased, the hysteresis lo
op is progressively reduced. Each branch of the hysteresis is associat
ed with a particular vortex pattern in the near wake, either the 2S or
the 2P modes of vortex shedding. The discontinuities are due to a sud
den change from one of the vortex-shedding modes to the other. An incr
ease of alpha also reduces the synchronization region, the maximum amp
litude of vibration and the double amplitude region, which disappears
for alpha greater-than-or-equal-to 30-degrees. Bifurcations in the cyl
inder transient response are used to construct the critical curve that
defines the boundary between the 2S and the 2P modes of vortex sheddi
ng. This curve is observed to shift towards higher velocities as alpha
is increased. For all planes of vibration, the onset of synchronizati
on occurs at the same reduced velocity. The maximum amplitude of the c
ylinder in each plane of vibration can be estimated from the projectio
n, on this plane, of the maximum amplitude at alpha = 0-degree. When t
he blades supporting the model are inclined at alpha = 45-degrees, vib
rations in two orthogonal planes have been observed. The results obtai
ned with progressive increments or decrements of the flow velocity are
similar to those obtained when the model is released from rest or fro
m a high amplitude.