Singular Perturbation Problems in Ship Hydrodynamics 



TABLE 3-1 

 ADDED-MASS AND DAMPING COEFFICIENTS IN THREE PROBLEMS 



NOTE 1) In all cases, m(x) and n(x) are defined: 



m(x) + J— n(x) s p \ di n,*,, 



where C(x) Is the wetted part of the cross section contour at x, and n, and ^, have the 

 same meaning as in Section 2.32 and 3.3. In CASE 1, ^^ is a real quantity, and so n(x) = 0. 



NOTE 2) The quantity I in Case 3 Is defined as follows: Let ^ « ^, and let ^a, be a 2-D potential 

 function which Is sinusoidal In y, such that |^- ^00 1 ~*' " >'■' y^ <">• Then: 



I = y dx l^y dy [♦V.y.O) - 4(«.y.O)] - -^ «)>^(x,b(x.O).0)] , 



where b(x,z) gives the hull offset corresponding to the point (x,0,s) on the centerplane. 



767 



