Propeller Excitation and Response of 230000 TDW Tankers 



m = harmonic order 



^ = angular position for collapse of cavitation 



$ - angular position for inception of cavitation 



/ \ 2 2 



Dividing equation (3) by n D and making use of derived 



quantities in given eqs. : 



P 2 r. 2 



p n D 



= E 



1 



r x 



.t ^t 



J j ^dxdr+y (I 2 T+I 4 )dr 



r. o 



l 



t max 



(I 7 + I ) dx + I 



/ 



6 max 



where 



t max 



max. length of cavity along radius 



t = max. thickness of cavity along radius 



max J to 



z = number of propeller blades 



If we assume that f = 1 in equation (6) 



(8) 



I/K = uf'e t + e t + — 

 1 x d 



I/K = e x + 4" 



c a 



I 3 /K = e r + i 



I/K - (» + 2 i) Z 



1 .. 



I 5 /K = 



x 



u f 7r „ 



x 2 . . 



5 + -J — r 



d d t 



X 6 /K = I ^ i 



(9) 

 (10) 



(11) 

 (12) 



(13) 



(14) 



The expressions for some of the variables in the above equa 

 tions are finally listed : 



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