By Y C Fung

Aimed toward complicated undergraduates and graduate scholars, this awesome textual content surveys aeroelastic difficulties, their ancient historical past, simple actual suggestions, and the rules of study. It has additionally confirmed hugely priceless to designers and engineers desirous about flutter, structural dynamics, flight lots, and similar matters.

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**Example text**

14) Y = YI(X, z, t). 15) In the steady case, this parameter coincides with the relative ground clearance h measured at the trailing edge. 16) Y = Yg(x, z, t). , to the plane Y = 0, epi = epi (x, z, t). 19) where f**(x, z) is an unknown function. 22) where h* = h*(x, z, t)/h o = Yl - Yg, h*(x, z) = Yl(X, z) - Yg(x, z) is the instantaneous distribution of the gap between the wing and the ground. 22) in a twodimensional domain S bounded by the wing planform contour. The boundary conditions for epi at the leading hand trailing edges l2 of the lifting surface will be obtained by matching.

2. 1 Formulation of the Three-Dimensional Unsteady Flow Problem Consider a wing of small thickness and curvature, performing an unsteady motion above asolid nonplanar underlying surface in an ideal incompressible fluid l (see Fig. 1). Assume that motion of the wing is the result of superposition of the main translational motion with variable speed U(t) and small vertical motions due to heave, pitch, and possible deformations of the lifting surface. Introduce a moving coordinate system in which the axes x and z are located upon an unperturbed position of the underlying boundary (the ground).

5 Matching of Flow Descriptions in Different Regions 37 • In the second stage, match the channel fiow potential