MATHEMATICAL NOTATIONS 



Cross-sectional areo of the load in the direction of motion 



2M„ 



c Velocity of sound in the cable - 



Ip. Coefficient of drag applicable to the load 



" Coefficient of moss applicable to the load 



E Modulus of elasticity for the cable 



F Safety factor for maximum operating stress in the coble 



4C^pA 



k A constant 



3TrC M 



Constant of friction on the cable due to the surrounding water 

 Length of the cable 

 Moss of the load 

 Virtual mass of the load 



Material cross-sectional area of the cable 



u(x, t) ~ displacement of element from support point 



Displacement amplitude 



U 



Normalized displacement amplitude - 



U„ 



I I Input displacement amplitude 



w Weight per unit length of cable 



4C„pA U„ 

 ^ Damping parameter 



3Tr M„ 



c p cS 



il Ratio of coble weight to virtual moss of load 



p Density of seawoter 



p Density of coble material 



I Amplitude of dynamic stress 



I' Normalized dynamic stress 



M_ 



U] Normolized displacement amplitude ot the array 



I , Allowable dynamic stress in the cable - — g ^static 



I I ^'d 



r Maximum normalized dynamic stress in the coble - TTTTr 



^static Static stress In the coble 



I 1. Ultimate tensile strength of the cable 



(p Constant defined by Equation 9 



'I' Constant defined by Equation 10 



u; Frequency of oscillation - — j — 



uj' Normalized frequency 



