Abstract
b = reference length of half-chord bj = breakpoint of the jth segment c0, c1, c2, c3, c4 = coefficients of interpolation polynomial D = generalized damping matrix f V = cubic spline function of flow velocity fi = frequency corresponding to the flow velocity at the ith step g = added structural damping for k method Im = imaginary part of complex number j = sequence number of segment K = generalized stiffness matrix k = reduced frequency kj = the jth reduced frequency in which the generalized aerodynamic matrix is computed M = Mach number M = generalized mass matrix n = number of reduced frequencies for computing aerodynamic influence matrices na = number of frequency data in a set p = Laplace variable Qs p = rational function approximation for generalized aerodynamic matrix Qj , Q 1 j , Q 2 j = complex-valued coefficient matrices of the jth segment q = vector of generalized coordinates V = flow velocity Vi = flow velocity at the ith step = flow density
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