5;- 



S S 



1 



dimcnsionlcss coefHcients for drag, cable weight, excess 

 buoysncy-io-tension ratio, spatial coordinates, and buoy 

 geometry arc plotted so that, for a given set of buoy and 

 cable parameters and specific current profiles, the horizon- 

 tal and vertical excursions of the buoy can be determined. 



rive Fortran computer programs, based on the MIR. have 

 been written for a single cable fixed at both ends, a bi- 

 moored and quad-moored rigid horizontal inclusion, a 

 tri-moored rigid or deformable slender inclusion, and a 

 tri-moored rigid delta. These programs and the subrou- 

 tines needed to account for the rigid or deformable 

 element}-, arc documented with explanatory information, 

 sample output from a parametric analysis, and program 

 listings in References 29 through 36. 



This program is for the steady-state analysis of single- 

 point, moored, surface-buoy systems and serves as the 

 starling point for a small-periurbaiion, dynamic analysis. 

 The equations that dcFinc the static equilibrium of the 

 buoy-cable system arc set up for solution as a two-point, 

 boundary-value problem and arc solved by repeated 

 integration of the equations until the conditions at the 

 buoy and at the anchor are correct. The program can 

 account for discrete elements and for changes in cable 

 charaneriscies along its length. A flow chart and a 

 program listing (subroutine STATIC) are given in 

 Reference 38. 



This program was developed for the analysis of towed 

 cables but is applicable to the single-point, mooring 

 system under the action of unidirectional current. The 

 program was developed to use a variety of hydrodynamic- 

 loading functions and can account for cables made up of 

 segments that have parameters which change from segment 

 to segment The equations of equilibrium for the cables 

 arc numerically integrated using a Kuita-Mcrson variant 

 of the Rungc-Kutta method. The technique adjusts the 

 integration step size automatically to maintain a specified 

 estimated accuracy during the integration. A detailed 

 description of the program, a program listing, and sample 

 problems arc given in Rcfcr'-nce i9. 



< 



A. Cables are a scries of straight 

 segments. 



B. Modified Whicker Model is used 

 for hydrodynamic loading. 



A. Buoy is afthc surface and is acted 

 upon by coplanar wind wave and 



A. Cib[e is a series of straight 

 segments. 



1 1 

 II 



ft. ^ 



t g g 



a i J 1 



J 



I % ■ g 



1 



I I I 



(J 5 



1 i 



I g g 



" 



I I I 



r. 



Single cable; 

 Bi-moor, Tri- 

 moor. Quad- 

 moor systems 

 with rigid or 

 deformable 

 inclusions 



Single-point 



Single-point 

 towed cable 



1 = -' 



& E 1 



£ = 7 



^ 



- fl 



CaryT. Griffin (cont'd) 



Professor Richard F. Dominquci 

 Texas A&.M University 

 Austin, TX 

 Comm<713>R45-4S15 



T. R. Goodman, el al. 

 Ocrjinies, Inc. for National Data 



.Miwissipp, Test Facility 

 Bay St. Louis. .MS 

 Comm<5 16) 694-6900 



ElUabeih Cuthill 



Naval Ship Research and Development 



Center 

 Washington. D.C. 

 Comm(202) 227-1302 



