NOTATION 



A Cross-sectional area of stressed material 



a , a , a , a Influence or response coefficients (for certain cases 



these quantities will have a prime or a bar above them) 



B Lift constant of hydrofoil (equals TrpbX.^) 



b Semichord length of hydrofoil 



b , b , b , b Inertia coefficients (for certain cases these quantities 



will have a prime or a bar above them) 



C Lift constant of hydrofoil (equals B (|- b + e)); 

 cosh q £; a constajit 



c Internal damping constant ; cos q £ 



c , c Still-water damping constants (structural damping 

 plus viscous damping at S = ) 



c External damping constant 



c External damping constant 



dx Thickness of beam slice (differential length) 



E Young's modulus of elasticity; lift constant of 

 hydrofoil (equals B (- + e) I 



EI Flexural rigidity of beam 



e A constant; base of natural logarithms (2.718 ); 



distance from midchord line to axis of rotation 

 positive toward approaching stream 



F Force on beam 



F^ Oscillatory lift force on hydrofoil 



G Modulus of elasticity in shear; external moment or 



couple on beam positive in same direction of positive 



e or ^ 

 3x 



iv 



