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VCTAVirtual Cable Testing Apparatus
When fluid flows around a bluff body such as a cable, the flow is
disturbed and so downstream forms a wake. The most familiar wake is
perhaps the so-called Karman vortex street, characterized by strong,
alternating vortices. In water, you might see it forming downstream of
pilings, cables, or in front of your canoe paddle! While the wake is
clearly responsible for drag exerted on the body, vortices typically
exert an oscillating side force as well. One can imagine how each of
the shed vortices in the Karman wake might push on the body. The
behavior of these vortices and forces around a stiff body is a very
interesting problem in itself.
In practice, however, very few structures are completely rigid; a
cable can vibrate, a pier is only as stiff as the wood and the soil
below. As a result, the oscillating forces from a vortical wake can in
fact cause the structure to vibrate. This motion in turn affects the
properties of the wake, and very soon we see that the dynamics of the
structure and the dynamics of the wake are intimately coupled.
This is a problem of great importance in ocean engineering. For
marine cables, the vibrations induced by the flow can cause large
lateral deflections (typically several diameters, peak to peak). With
this motion, drag forces tend to be amplified, and dynamic tensions in
the cable can be quite large. The tension fluctuations may cause the
cable to fail under extreme loads, or they may reduce the fatigue life
of the deployment significantly.
Past Work
At the Towtank, we have been studying vortex-induced vibrations
experimentally since 1992. Ram Gopalkrishnan (Sc.D., 1992) measured forces on a
cylindrical section, when the cylinder was moved in beating motions
(the sum of two sinusoids). He used the large tank with a special
carriage carrying a two-foot long test section mounted to a linear
drive and servomotor. A load cell mounted on the section recored the
drag and oscillating lift forces. Using the small tank, he also
investigated the effects of a heaving and pitching foil placed behind
the cylinder. Jamie Anderson (Ph.D., 1995), in addition to studying
fish propulsion with digital particle image velocimetry (DPIV), and
REAL FISH (Giant Danio), continued work on the vortex-control problem
using a foil behind a cylinder. Professor Kim
Vandiver has also been involved in tests with long sections of
cables and beams.
In 1993, Scott Miller and Franz Hover
constructed a new apparatus for testing cable sections. Dubbed the
Virtual Cable Testing Apparatus (VCTA), it differs from
Gopalkrishnan's carriage in one crucial respect: the force signal is
used to drive an on-line simulation of a compliant cable. This
force-feedback system allows one to specify the structural dynamics of
the cable in software. As a result, the system handles cable models
employing nonlinearities, multiple modes, and wave phenomena.
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