Snap Loads in Mooring Lines During Large Three-Dimensional Motions of a Cylinder

The nonlinear dynamic response of a moored, rigid, horizontalcylinder is considered. Use of the structure as a breakwater or a waveenergy device is envisaged. Inertial and nonlinear damping effects ofthe external fluid are not included, i.e., a ‘dry’ analysis is carriedout. The four mooring lines are modeled as massless springs which onlyresist tension. The six coupled equations of motion of the cylinder arederived and solved numerically. Linear free vibrations are treatedfirst, followed by the nonlinear three-dimensional response to harmonicforces simulating the action of waves. Normal, longitudinal, and obliqueforces are considered, and time histories of the displacements andmooring line tensions are computed. Snap loads tend to occur in thelines when they are alternately slack and taut. The effects of theforcing direction, amplitude, and frequency are investigated. Chaoticmotions are observed in some cases, and the structure collapses forsufficiently large forcing amplitudes.

[1]  Mieczysław Hann Statics and dynamics of multi-cable systems for submersibles , 1995 .

[2]  Richard Evelyn Donohue Bishop,et al.  Mechanics of Marine Vehicles , 1982 .

[3]  Shan Huang,et al.  Dynamics of small-sagged taut-slack marine cables , 1996 .

[4]  Wataru Koterayama,et al.  Dynamic Behavior And Tension Of Oscillating Mooring Chain , 1981 .

[5]  Michael S. Triantafyllou,et al.  Non-linear cable response and model testing in water , 1990 .

[6]  Michael S. Triantafyllou,et al.  SEAKEEPING AND EXTREME TENSIONS IN OFFSHORE TOWING , 1988 .

[7]  A. I. Bezverkhii On oscillations of anchored buoys on waves , 1998 .

[8]  John M. Niedzwecki,et al.  Snap loading of marine cable systems , 1991 .

[9]  P.A.A. Laura,et al.  Analytical and experimental study of the dynamic response of segmented cable systems , 1971 .

[10]  Shan Huang,et al.  A numerical method for predicting snap loading of marine cables , 1993 .

[11]  F. C. Liu Snap Loads in Lifting and Mooring Cable Systems Induced by Surface Wave Conditions , 1973 .

[12]  Michael S. Triantafyllou CABLE MECHANICS FOR MOORED FLOATING SYSTEMS , 1994 .

[13]  J. Thompson,et al.  Nonlinear Dynamics and Chaos , 2002 .

[14]  Juan Carlos Archilla Three-Dimensional Nonlinear Dynamics of a Moored Cylinder to be Used as a Breakwater , 1999 .

[15]  Haym Benaroya,et al.  Dynamic Response of Compliant Offshore Structures—Review , 1996 .

[16]  Raymond H. Plaut,et al.  Three-dimensional analysis of submerged, moored, horizontal, rigid cylinders used as breakwaters , 1999 .

[17]  Subrata K. Chakrabarti,et al.  Nonlinear methods in offshore engineering , 1990 .

[18]  T. N. Gardner,et al.  Analysis of Brief Tension Loss in TLP Tethers , 1988 .

[19]  S. Huang,et al.  Stability analysis of the heave motion of marine cable-body systems , 1999 .

[20]  M. Triantafyllou,et al.  THE MECHANICS OF HIGHLY-EXTENSIBLE CABLES , 1998 .

[21]  H. Shin,et al.  ANALYSIS OF EXTREME TENSIONS IN A SNAPPING CABLE , 1991 .

[22]  Lawrence N. Virgin,et al.  Introduction to Experimental Nonlinear Dynamics , 2000 .