The motions of a buoy moored to the sea floor by a cable are considered. The buoy is modeled both as a point mass and as a sphere. It is assumed that the mooring line has no effect when it is slack, and that when it becomes taut it exerts an instantaneous impulsive force on the buoy, analogous to the impact of a ball bouncing on a rigid surface. The magnitude of the axial component of the velocity is reduced at this time. Fluid inertia and damping are not included, and the wave forces are assumed to be harmonic. The effects of the coefficient of restitution and the forcing frequency on two types of critical force are examined. Trajectories of the motion are plotted and the impact velocities are computed and analyzed. Knowledge of the number and magnitude of these impacts is useful in assessing fatigue of the mooring line.
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July 2001
Technical Papers
Bouncing-Ball Model of ‘Dry’ Motions of a Tethered Buoy
R. H. Plaut, Mem. ASME
,
R. H. Plaut, Mem. ASME
The Charles E. Via, Jr. Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0105
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A. L. Farmer
,
A. L. Farmer
The Charles E. Via, Jr. Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0105
Search for other works by this author on:
M. M. Holland
M. M. Holland
The Charles E. Via, Jr. Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0105
Search for other works by this author on:
R. H. Plaut, Mem. ASME
The Charles E. Via, Jr. Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0105
A. L. Farmer
The Charles E. Via, Jr. Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0105
M. M. Holland
The Charles E. Via, Jr. Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0105
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 2000; revised Dec. 2000. Associate Editor: A. F. Vakakis.
J. Vib. Acoust. Jul 2001, 123(3): 333-339 (7 pages)
Published Online: December 1, 2000
Article history
Received:
July 1, 2000
Revised:
December 1, 2000
Citation
Plaut, R. H., Farmer , A. L., and Holland, M. M. (December 1, 2000). "Bouncing-Ball Model of ‘Dry’ Motions of a Tethered Buoy ." ASME. J. Vib. Acoust. July 2001; 123(3): 333–339. https://doi.org/10.1115/1.1375164
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