^0 





k 







M 





m(z: 



;) 





N 







R 







R' 





Sn 



'Tn 



Si 



(-; 



) 



^i' 



Yi- 



^i 



X 



. y. 



z 



x'. 



y'. 



z' 



Xq, 



^0' 



Zq 



\' 



Bi- 



r. 



1 



Of; 



e 



\ 



NOTATION 



Amplitude of incident surface wave 



Radius of circle on which spar axes are located 



a. (z.) Radius of i spar as a function of z. 



Acceleration of gravity 



Moment of in 

 respectively 



Ij^, J^, K^ Moment of inertia of i spar about x-, y-, z-axes, 



2 



Wave number of incident waves = oj /g 



Mass of one spar (assumed equal for each spar) 



Mass per unit length of i spar 



Number of spars 



Space-fixed cylindrical polar coordinate 



Body-fixed cylindrical polar coordinate 



Defined in Equations [l3a], [l3b] 



Cross-sectional area of i spar = tt a- (z-) 



Components of force on i spar 



Space-fixed Cartesian coordinates 



Body-fixed Cartesian coordinates 



Linear displacements of structure 



Components of moment on i spar 



Angular displacements of structure about x-, y-, z-axes 



Space-fixed cylindrical angular coordinate 



