Generalized Theodorsen solution for singular integral equations of the airfoil class
Author:
M. H. Williams
Journal:
Quart. Appl. Math. 35 (1977), 213-224
MSC:
Primary 76.45; Secondary 45E99
DOI:
https://doi.org/10.1090/qam/464901
MathSciNet review:
464901
Full-text PDF Free Access
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Additional Information
T. Theodorsen, General theory of aerodynamic instability and the mechanism of flutter, NACA Report 496, 1935
H. G Küssner, Zusammenfassender Berich über den instationaeren Auftrieb von Fluegeln, Luftfahrtforschg. 13., 12, December 1936
R. L. Bisplinghoff, H. Ashley, and R. L. Halfman, Aeroelasticity, Addison-Wesley, 1955
- M. H. Williams, The resolvent of singular integral equations, Quart. Appl. Math. 35 (1977/78), no. 1, 99–110. MR 450912, DOI https://doi.org/10.1090/S0033-569X-1977-0450912-2
M. H. Williams, General theory of thin wings in inviscid parallel shear flows, Princeton University AMS Report 1269, March 1976
High speed aerodynamics and jet propulsion, Vol. VI: General theory of high speed aerodynamics, W. R. Sears, ed., Princeton University Press, 1964
W. P. Jones, Wind-tunnel wall interference effects on oscillating aerofoils in subsonic flow, British ARC R & M 2943, 1953
S. E. Widnall, Unsteady loads on hydrofoils including free surface effects and cavitation, MIT Fluid Dyn. Res. Lab., Report 64–2, June 1964
D. E. Williams, On the integral equations of two dimensional subsonic flutter derivative theory, British ARC. R & M. 3057, 1958
M. Erdélyi et al., Higher transcendental functions, Vol. 1, McGraw-Hill, 1953
T. Theodorsen, General theory of aerodynamic instability and the mechanism of flutter, NACA Report 496, 1935
H. G Küssner, Zusammenfassender Berich über den instationaeren Auftrieb von Fluegeln, Luftfahrtforschg. 13., 12, December 1936
R. L. Bisplinghoff, H. Ashley, and R. L. Halfman, Aeroelasticity, Addison-Wesley, 1955
M. H.. Williams, The resolvent of singular integral equations, Quart. App. Math. 35, 99–110 (1977)
M. H. Williams, General theory of thin wings in inviscid parallel shear flows, Princeton University AMS Report 1269, March 1976
High speed aerodynamics and jet propulsion, Vol. VI: General theory of high speed aerodynamics, W. R. Sears, ed., Princeton University Press, 1964
W. P. Jones, Wind-tunnel wall interference effects on oscillating aerofoils in subsonic flow, British ARC R & M 2943, 1953
S. E. Widnall, Unsteady loads on hydrofoils including free surface effects and cavitation, MIT Fluid Dyn. Res. Lab., Report 64–2, June 1964
D. E. Williams, On the integral equations of two dimensional subsonic flutter derivative theory, British ARC. R & M. 3057, 1958
M. Erdélyi et al., Higher transcendental functions, Vol. 1, McGraw-Hill, 1953
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Article copyright:
© Copyright 1977
American Mathematical Society
