General equations of motion for an elastic wing and method of solution

Equations in the time domain for arbitrary motion of a finite elastic wing in linearized flow are derived by means of more general indicia! aerodynamic coefficients than those previously defined. Solution by the Laplace transformation shows that the normal response, for M<\, contains a line integral that depends on the discontinuity of the aerodynamic transfer functions across the negative real axis. For these functions, approximations of the Garrick type are utilized in a root-locus method in which no augmented states are needed. Indicial deficiency functions for a rectangular wing in incompressible flow are found to be almost equal for different deflection modes.