DYNAMICS AND KINEMATICS OF SUBMARINE CABLE 



1185 



Unlike the solution of the basic stationary model, the complete solu- 

 tion of this model is not simple. To make the problem tractable, we shall 

 make further simplifjdng assumptions. Although these assumptions may 

 seem reasonable, they must be ultimately justified by comparison of 

 experience with predicted results. 



Force diagrams of a differential element of cable are shown in Figs. 

 33(a) and (b) for the two regions, air and water respectively. The no- 

 tation is 



V = 



q = 



V = 



e = 



ip = 



s = 



X = 



f = 



Wa = 



longitudinal displacement of a point of the cable, 



transverse displacement of a point of the cable (in air), 



transverse displacement of a point of the cable (in water), 



the stationary angle, i.e. the angle the cable configuration makes 



with the ship velocity in the absence of ship motion, 



deviation from the stationary angle - positive in the clockwise 



direction, 



distance along the stretched cable, 



distance along the unstretched cable (in air), 



distance along the unstretched cable (in water), 



weight per unit length of cable in air. 



^Mr /^-~-___ 



it^?"/^-------. 



vVATER 



Fig. 33 — Diagram of forces acting on a cable element, in air and in water. 



