F = - (T + 6t) sinB , 

 X o 



F = T (1 - cosB) - 6Tcos6 

 V o 



For small 3 and small 6L w 5y, these become, 



F = -T 3 = ^6x , 

 X o L 



F = -6T = -;-6y 

 V L 



(21) 



(22) 



The 3x3 spring constant matrix [k ] may, therefore, be 



a 



written for the vertical tension leg as 



"t 



l-^al = -t 







AE 



T 



(23) 



VIII. REFERENCES 



Burke, B. G. "The Analysis of Motions of Semisubmersible Drilling 

 Vessels in Waves, OTC 1024, Houston 1969, 



Hooft, J. P. "A Mathematical Method of Determining Hydrodynamically 

 Induced Forces on a Semisubmersible" Trans . SNAME , v. 79, 1971, 28-70, 



Horton, E. E . ; McCammon , L. B.; Murtha, J. P. and Paulling, J, R. 

 "Optimization of Stable Platform Characteristics", OTC 1553, Off- 

 shore Technology Conference, Houston 1972. 



Kim, C. H. and Chou, F. "Motions of a Semisubmersible Drilling 

 Platform in Head Seas", Marine Technology , April 1973, pp. 112-123. 



Morison, J. R. , et al "The Force Exerted by Surface Waves on 

 Piles", Pet. Trans ., AIME , v. 189, 1950, pp. 149-154. 



Paulling, J. R. "Wave Induced Forces and Motions of Tubular 

 Structures", Eigth Symposium on Naval Hydrodynamics, Pasadena, 

 ONR ACR-179, pp. 1083-1110. 



Paulling, J. R. and Horton, E. E. "Analysis of the Tension-Leg 

 Stable Platform", OTC 1263, Offshore Technology Conference, Houston 

 1970. 



Paulling, J. R. "Elastic Response of Stable Platform Structures 

 to Wave Loading", Proc . Intl. Symp. on Dynamics of Marine Vehicles 

 and Structures in Waves, Inst, of Mech. Engrs., London 1974. 



140 



