Elastic wing response’s to an incoming gust
DOI:
https://doi.org/10.1260/175095407781421577Abstract
The behavior of thin elastic blade and wing subjected to a travelingdisturbance is considered. The blade response to an incoming gust ispredicted, then the pressure around the blade is coupled to the far fieldpressure in order to predict the intensity of acoustic radiation as well as theacoustic wave propagation in far field. The effect of the elasticity of theblade on the acoustic wave is predicted. The blade vibration induced bylanding acoustic wave is investigated. The two dimensions inviscid flowaerodynamic theorem associated with the strip theorem are used to modelthe flow around the elastic thin wing. Bernoulli-Euler theorem are used inorder to describe the wing motion. The fluid and the wing motions arecoupled via the boundaries condition at the blade surface. The incominggust considered here is a monochromatic wave traveling with a givenspeed. The problem formulation leads to a forced well known aeroelasticityFung equation. The eigenvalue of the homogeneous part are computedand a formal solution of the forced equation is obtained.The behavior of thin elastic blade and wing subjected to a travelingdisturbance is considered. The blade response to an incoming gust ispredicted, then the pressure around the blade is coupled to the far fieldpressure in order to predict the intensity of acoustic radiation as well as theacoustic wave propagation in far field. The effect of the elasticity of theblade on the acoustic wave is predicted. The blade vibration induced bylanding acoustic wave is investigated. The two dimensions inviscid flowaerodynamic theorem associated with the strip theorem are used to modelthe flow around the elastic thin wing. Bernoulli-Euler theorem are used inorder to describe the wing motion. The fluid and the wing motions arecoupled via the boundaries condition at the blade surface. The incominggust considered here is a monochromatic wave traveling with a givenspeed. The problem formulation leads to a forced well known aeroelasticityFung equation. The eigenvalue of the homogeneous part are computedand a formal solution of the forced equation is obtained
References
Amiet, R. K. Noise due to turbulent flow past a trailing edge, Journal of sound and vibration, Vol. 47, No. , 1976, pp 387-393. https://doi.org/10.1016/0022-460x(76)90948-2
Arbey, H. and Bataille,J., Noise generated by air foil profiles placed in a uniform laminar flow Journal of Fluid Mechanics, Vol. 134, 1983, pp. 33-47. https://doi.org/10.1017/s0022112083003201
Ballhaus, W. F., and Goorjian, P. M., Computation of unsteady transonic flows by the indicial method, AIAA journal, Vol. 16, No 2, February 1978, pp.117-124. https://doi.org/10.2514/3.60868
Bénard, C., Vahdati, M., Sayma, A. I. and Imregun, M., An integrated time-domain aeroelasticity model for the prediction of fan forced response due to inlet distortion, Transaction of the ASME, Vol. 124, 2002, pp. 196-208. https://doi.org/10.1115/1.1416151
Brar, P. S., Raul, R. and Scanlan, R. H., Numerical calculation of flutter derivatives via indicial functions, Journal of Fluid and Structure, Vol. 10, 1996, pp.337-351. https://doi.org/10.1006/jfls.1996.0022
Campost, L. M. B. C., Bourgine, A. and Bonomi, B., Comparison of theory and experiment on aeroelastic loads and deflections, Journal of Fluid and Structure, Vol. 13, 1998, pp.3-35
Capeland, G. S. and Rey, G. J., Comparison of experiments and reduced-order models for turbomachinery high-incidence flutter, Journal of Fluid and Structure, Vol. 19, 2004, pp.713-727. https://doi.org/10.1016/j.jfluidstructs.2004.01.008
Cinnella, P., De Palma, P., Pascazio, G. and Napolitano, M., A numerical method for turbomachinery aeroelasticity, Transaction of the ASME, Vol. 126, 2004, pp. 310-316. https://doi.org/10.1115/1.1738122
Fung, Y. C., An Introduction to the Theory of Aeroelasticity, Third Edition, Dover publication, Inc. 1993.
Goldstein, M. E. and Atassi, H., A complete second-order theory for the unsteady flow about an air foil due to a periodic gust, Journal of Fluid Mechanics, Vol.74, part 4, March 2004, pp.741-765. https://doi.org/10.1017/s0022112076002036
Jacquet-Richardet G. and Rieutord, P., A three-dimensional fluid-structure coupled analysis of rotating flexible assemblies of turbomachines, Journal of sound and vibration, Vol. 209, 1998, pp.61-76. https://doi.org/10.1006/jsvi.1997.1225
Katz, J. and Plotkin, A., Low-Speed Aerodynamics, Second Edition, Cambridge University Press, 2001.
Lee, B. H. K. and Jiang, Y., Flutter of an airfoil with a cubic restoring force, Journal of Fluid and Structure, Vol. 13, 1999, pp.75-101
Patil, M. J. and Cesnik, C. E. S., Limit-cycle oscillations in high-aspect-ration wings, Journal of Fluid and Structure, Vol. 15, 2001, pp.107-132. https://doi.org/10.1006/jfls.2000.0329
Possio, C., L’azione aerodinamica sul pro_lo oscillante in un fluido compressible a velocita iposonora, Aerotecnica, Vol. 18, No 5, 1938, pp. 441-458
Sun, X. and Kaji, S., Optimization of fully coupled electrostatic-fluid-structure interaction problem, Computer science, Vol. 83, 2005, pp.221-233
Roger, M. and Moreau, S., Broadband self-noise from loaded fan blades, AIAA journal, Vol. 42, No 3, March 2004, pp.536-543. https://doi.org/10.2514/1.9108
Salvatori, L. and Spinelli, P., Effects of structural nonlinearity and along-span wind coherence on suspension bridge aerodynamics: Some numerical simulation results, Journal of Wind Engineering ans Industrial aerodynamics, Vol. 96, 2006, pp.415-430. https://doi.org/10.1016/j.jweia.2006.01.013
Scanlan, R. H. and Jones, N. P., A form of aerodynamic admittance for use in bridge aerelastic analysis, Journal of Fluid and Structure, Vol. 13, 1999, pp.1017-1027
Sears, W. R., Some aspects of non-stationary air foil theory and its practical application, Journal Aero. Sci., Vol. 8, 1941, pp 104-115
Sun, X. and Kaji, S., Control of blade flutter using casing with acoustic treatment, Journal of Fluid and Structure, Vol. 16, 2002, pp.627-648. https://doi.org/10.1006/jfls.2002.0443
Tang, D. and Dowell, E. H., Experimental and theoretical study on aeroelastic response of highaspect-ration wings, AIAA journal, Vol. 39, No 8, August 2001, pp.1430-1441. https://doi.org/10.2514/3.14886
Wempner, G., Mechanics of Solid, PWS Publishing Company. Boston, MA, USA, 1995
Watanabe, Y., Isogai, K., Suzuki, S. and Sugihara, M., A theoretical study of paper flutter, Journal of Fluid and Structure, Vol. 16, No 4, 2002, pp.543-560
Willcox, K., Peraire, J. and Paduano, J. D., Application of model order reduction to compressor aeroelasticitic models, Transaction of the ASME, Vol. 124, April 2002, pp.332-339. https://doi.org/10.1115/1.1416152
Published
How to Cite
Issue
Section
Copyright (c) 2007 M Hamadiche

This work is licensed under a Creative Commons Attribution 4.0 International License.