A Modern Course in Aeroelasticity (Solid Mechanics and Its by Robert Clark, David Cox, Howard C. Jr. Curtiss, John W.

By Robert Clark, David Cox, Howard C. Jr. Curtiss, John W. Edwards, Kenneth C. Hall, David A. Peters, Robert Scanlan, Emil Simiu, Fernando Sisto, Thomas W. Strganac, E.H. Dowell

During this re-creation, the elemental fabric on classical linear aeroelasticity has been revised. additionally new fabric has been further describing contemporary effects at the examine frontiers facing nonlinear aeroelasticity in addition to significant advances within the modelling of unsteady aerodynamic flows utilizing the tools of computational fluid dynamics and diminished order modeling concepts. New chapters on aeroelasticity in turbomachinery and aeroelasticity and the latter chapters for a extra complicated path, a graduate seminar or as a reference resource for an entr?e to the examine literature.

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Aeroelasticity is concerned with those physical phenomena which involve significant mutual interaction among inertial, elastic and aerodynamic forces. Other important technical fields can be identified by pairing the several points of the triangle. For example, Stability and control (flight mechanics) = dynamics + aerodynamics Structural vibrations = dynamics + solid mechanics Static aeroelasticity = steady flow aerodynamics + solid mechanics Conceptually, each of these technical fields may be thought of as a special aspect of aeroelasticity.

13). 13) may be written, y2 C αα(y2 , η) = 0 η = 0 y2 = 0 1 dy1 − GJ y2 η 1 dy1 GJ 1 dy1 GJ for y2 > η 1 dy1 GJ for y2 < η One may drop the dummy subscript on y2 , of course. 14) Note from the above result we may conclude by interchanging y and η that C αα(y, η) = C αα(η, y) 30 A MODERN COURSE IN AEROELASTICITY This is a particular example of a more general principle known as Maxwell’s Reciprocity Theorem∗ which says that all structural influence functions for linear elastic bodies are symmetric in their arguments.

An alternative procedure can be employed which expands the solution for the variable property wing in terms of the eigenfunctions of the constant property wing. This is the last of the reasons previously cited for examining the eigenfunctions. 1). 25) where γ≡ GJ (GJ)ref ql2 cref λ ≡ (GJ)ref 2 K=− ∂CL ∂α qcl2 ∂CL e α0 + CMAC0 (GJ)ref ∂α eref β= ref c e cref eref ∂CL ∂α ∂CL ∂α ref Let αe = anαn(˜ y) n ∗ For a more detailed mathematical discussion of the above , see Hildebrand [6], pp. 224–234. This problem is one of a type known as ‘Sturm-Liouville Problems’.

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