Giddings and Wermter 



When the tank parameters are set equal to zero, the equations reduce to the fa- 

 miliar simple equations for uncoupled pitch and heave. 



To find a solution, assume that 



= 0„ e 



Z = Z„ e' 



Then, 



za / 



+ 1 ^ + ib, — \,^Z„ +1 A.. a = K A. 



l^ ° \ CO ^ z a; J 2<^ o \ ^2 j t o ^ ^ \^ 



1 - -^- 0o + 1 - -y- Z^ + 1 _+ lb. — 1 a_ = Ku — (cos ^—+1 sin ^ 



za/ \ za / \ t 



In principle, given all the coefficients, these equations could be solved for 

 pitch as a function of wave amplitude, and a response operator derived. 



REFERENCES 



1. Mandel, P., "Some Hydrodynamic Aspects of Appendage Design," Society of 

 Naval Architects and Marine Engineers, Vol. 61, 1953 



796 



