A modern course in aeroelasticity by Clark R., Cox D., et al.

By Clark R., Cox D., et al.

During this re-creation, the basic fabric on classical linear aeroelasticity has been revised. additionally new fabric has been extra describing fresh effects at the examine frontiers facing nonlinear aeroelasticity in addition to significant advances within the modelling of unsteady aerodynamic flows utilizing the equipment of computational fluid dynamics and lowered order modeling ideas. New chapters on aeroelasticity in turbomachinery and aeroelasticity and the latter chapters for a extra complex path, a graduate seminar or as a reference resource for an entrée to the study literature.

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Associated with it are two boundary conditions. 2) Turning now to the aerodynamic theory, we shall use the ‘strip theory’ approximation. 3d) define CL and CMAC respectively. 2). 7) more complete aerodynamic model would allow for the effect of an angle of attack at one spanwise location, say η, on (nondimentional) lift at another, say y. This relation would then be replaced by CL (y) = A(y − η)[α0 (η) + αe (η)]dη where A is an aerodynamic influence function which must be measured or calculated from an appropriate theory.

Typical Section Model of An Airfoil We shall find a simple, somewhat contrived, physical system useful for introducing several aeroelastic problems. ∗ This simplified aeroelastic system consists of a rigid, flat, plate airfoil mounted on a torsional spring attached to a wind tunnel wall. 1; the airflow over the airfoil is from left to right. 1. Geometry of typical section airfoil. The principal interest in this model for the aeroelastician is the rotation of the plate (and consequent twisting of the spring), α, as a function ∗ See Chapter 6, BA, especially pp.

Strip’ theory c ‘lumped element’ method of solution vs. modal (or eigenfunction) solution. 9. 2) 0 Thus C αα(y, γ) is the twist a y due to a unit moment at γ, or alternatively, C αα (y, η) is the twist at y due to a unit moment at η. C αα is called a structural influence function. 1) states that to obtain the total twist, one multiplies the actual distributed torque, My , by C αα and sums (integrates) over the span. This is physically plausible. † The physical interpretation of C αα suggests a convenient means of measuring ∗ For simplicity, α0 ≡ 0 in what follows.

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