1 ''b^ 

 '' Damping constant; equals — ■ , (See Section 7) 



>^^ b^ 



9 Equals — ; angle of rotation of hydrofoil about axis 



oX 



of rotation lying in plane of foil and parallel to its 

 length, positive in same direction as G, and measured 

 from zero when both foil and beam are in their neutral 

 positions 



e Equals — ^ at x = 0; local rotation of beam: angle of 



rotation of a rigid body; positive like 6 



X j^ iq-i , or jl q.^ ; ratio of length of any beam to standard 



beam 



U Effective mass per unit length of beam (including an 

 appropriate allowance for virtual mass of surrounding 

 water) 



\i<^ 2 



E, Equals a = a Elq 



q 



p, p Density of fluid bathing the foil and density of pure 

 water, respectively 



Bending stress ; equals 



2KAG 



A number allowing for the effect of a change of 

 either beam density or cross-sectional area of beam 



2 "^ 



Equals y(u) - iwc) 



Circular frequency of vibration 



