Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-18T11:42:02.276Z Has data issue: false hasContentIssue false

2D and 3D low frequency aerodynamics

Published online by Cambridge University Press:  03 February 2016

L. H. van Zyl*
Affiliation:
CSIR Pretoria, South Africa

Abstract

Unsteady aerodynamic loads on aircraft configurations are used for aeroelastic or flight dynamic analyses. The sources for deriving these loads include strip theory aerodynamics and three-dimensional panel methods. In some applications the behaviour of the unsteady air loads as the frequency approaches zero is important, and it is well known that the behaviour of strip theory aerodynamics employing the exact circulation function differs qualitatively from that of the three-dimensional panel methods such as the subsonic doublet lattice method (DLM). Theoretical results from an earlier study of the low frequency behaviour of the DLM are used here to show the relationship between the DLM and strip theory and the relationship is verified by a numerical example.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2008 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Rodden, W.P., Harder, R.L. and Bellinger, E.D., Aeroelastic Addition to NASTRAN, NASA CR 3094, March 1979.Google Scholar
2. Chen, P.C., A damping perturbation method for flutter solution: the g-method, proceedings of the international forum on aeroelasticity and structural dynamics, Part 1, NASA/CP-1999-209136/PT 1, Hampton, VA, USA, 1999, pp 433441.Google Scholar
3. Van Zyl, L.H., Low frequency behaviour of the subsonic doublet lattice method, Aeronaut J, June 2005, 109, (1096), pp 285291.Google Scholar
4. Von Kármán, T.H. and Sears, W.R., Airfoil theory for non-uniform motion, J Aeronautical Sciences, 1938, 5, (10), pp 379390.Google Scholar
5. Rodden, W.P. and Stahl, B., A strip method for prediction of damping in subsonic wind tunnel and flight flutter tests, J Aircr, January-February 1969, 6, pp 917.Google Scholar
6. Spielberg, I.N., The two-dimensional incompressible aerodynamic coefficients for oscillatory changes in airfoil camber, J Aerospace Sciences, 1953, 20, pp 432434.Google Scholar
7. Jones, W.P., Aerodynamic forces on wings in non-uniform motion, R and M 2117, 1945, Aeronautical Research Council.Google Scholar
8. Rodden, W.P., Giesing, J.P. and Kalman, T.P., New developments and applications of the subsonic doublet-lattice method for nonplanar configurations, AGARD Conference Proceedings, CP-80-71, Part II, No 4, 1971.Google Scholar
9. Bisplinghoff, R.L., Ashley, H. and Halfman, R.L., Aeroelasticity, Addison-Wesley Publishing Co., 1955.Google Scholar
10. Graham, J.M.R. and Kullar, I., Small perturbation expansions in unsteady aerofoil theory, J Fluid Mech, 1977, 83, Part 2, pp 209224.Google Scholar
11. Miles, J.W., Unsteady flow theory in dynamic stability, J Aerospace Sciences, January 1950, 17, (1), p 62.Google Scholar