2D inviscid flutter of the mistuned Fourth and First Standard Configuration

• Autorzy: Rządkowski R. , Kovalyov A
• Języki publikacji: EN

Abstrakty

EN

The trend in aviation engines with high specific power and, correspondingly, high aerodynamic loads leads to the problem of aeroelastic behaviour of blades not only in compressors and fans, but also in turbines. Investigations of aeroelastic of the blades in dependence of structural mistuning are presented. A numerical calculation method for unsteady aerodynamic characteristics of oscillating blade cascades under the action of unstable loads is based on solution of the coupled fluid-structure problem, in which the aerodynamic and structural dynamic equations are integrated simultaneously in time, thus providing the correct formulation of a coupled problem, as the interblade phase angle, at which a stability (instability) would occur, is a part of solution. The ideal gas flow around multiple stage passages (with periodicity on the whole annulus) is described by the unsteady 2D Euler equations in conservative form, which are integrated by using the explicit monotonous second order accurate Godunov-Kolgan finite-volume scheme on the moving grid. The blade is modelled by a very simple two degrees of freedom discrete model. In this model cascade performs the torsional and the bending oscillations under the given law. The aeroelastic behaviour of the blades in the unsteady aerodynamic flow is calculated for the mistuned blades assemblies of the Fourth and First Standard Configurations. The computational domain of the unsteady flow can not be restricted to the single blade passage. The results in the time domain analysis show the beneficial influence of the mistuning of the bending mode in comparison to the torsional mode. The dynamic properties of the mistuned systems are dependent on the way of coupling of the blades, whether it is either aerodynamic or mechanical.

Słowa kluczowe

EN

inviscid flutter; cascade; mistuning

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN
• Czasopismo: Transactions of the Institute of Fluid-Flow Machinery
• Rocznik: 2003
• Tom: nr 112
• Strony: 139--154
• Opis fizyczny: Bibliogr. 23, rys.

Twórcy

autor

Rządkowski R.

• Institute of Fluid-flow Machinery, PAS, Gdańsk, Poland , Polish Naval Academy, Gdynia, Poland

autor

Kovalyov A

• Institute of Problems in Machinery, Ukrainian National Academy of Sciences, Kharkov, Ukraine

Bibliografia

• 1. Whitehead D.S,: Effect of mistuning on the vibration of turbomachie blades induced by wakes, J. Mech. Eng. Sci., Vol. 8(1966), No. 7, 15-21.
• 2. Fedoseyev A. N.: Selfexcited vibrations of dynamically nonuniform cascades in potential flow, Problems of Strength, No. B, 1974, 68-74 (in Russian).
• 3. Dovzhenko N. V., Shilov R. A.: About aeroelastic stability of dynamically nonuniform cascades with small deviation of frequencies of adjacent blades, Problems of Strength, No. 8, L974, 52-56 (in Russian).
• 4. Whitehead D. S.: Research note: Effect of mistuning on forced, vibration of blades with mechanical coupli,n9, J. Mech. Eng. Sci., Vol. 18(1976), No, 6. 306-307.
• 5. Srinivasan A. V., Kurkov A,: Effect of mistuning on blade torsiona| flutter. Fifth Int. Symp on Airbreathing Engines, Feb. 16-21,1981, Bangalore, India, 59-1+59-8
• 6. Kielb R. E., Kaza K. R. V.; Aeroelastic characteristics of a cascade of mistuned blades ,in subsonic and, supersonic flows, ASME Paper 81-DET-122.
• 7. Kaza K. R. V., Kielb R. E.: Coupled, bending-bending-torsion flutter of a mistuned cascade with nonuniform blades, NASA Technical Memorandum 82813.
• 8. Bundas D.J., Dugundji J.: Flutter and forced Tesponse of mistuned, rotors using standing wave analysis, GT&PDL Report No170
• 9. Crawley E. F., Hall K. C.: Optimization and, mechanism of mistuning in cascades, ASME Paper 84-GT-i96.
• 10. Kaza K, R. V., Kielb R. E.: Flutter of turbofan rotors with mistuned blades, AIAA Journal, Vol, 22(1984), No, 11, 1618-1625.
• 11. Bendiksen O. O; Flutter of mistuned turbomachinery rotors, Trans. ASME, J. of Eng. for Gas Turbines and Power, Vol. 106(1984), Jan., 25-33.
• 12. Kahl G.: Structural mistuniing and aerodynamic coupling ,in turbomachinery blades, Unsteady Aerodynamics and Aeroelasticity of Turbomachines, Editor by T. H. Fransson, 1998, 183-193.
• 13. Pierre C. et al.: Localization of aeroelastic modes in mistuned, highly energy turbines, J. of Propulsion and Power, Vol. 10(1994), No. 3, 318-328.
• 14. Seinturier E. et al.: A new method, to predict flutter in presence of structural mistuning application to a wide chord fan stage,ISUAAAT'2000, 9th Int. Symp. on Linsteady Aerodynamics, Aeroacustics and aeroelasticity of Turbomachines, Books of Abstract, Lyon, France, Sept. 4-8.2000, Paper 9-4; Ecole Centrale de Lyon 2000.
• 15.Marshall, J. G. and Imregun M.: ,4 review of aeroelasticity methods with emphasis on turbomachinery applications, J. of Fluids and Structures. Vol. 10(1996),237-257
• 16.Vahdati M, et aI.: Ranking of numerical methods for fan flutter prediction. ISUAAAT'2000, 9th Int. Symp. on Unsteady Aerodynamics, Aeroacustic: and aeroelasticity of Turbomachines, Books of Abstract, Lyon, France, Sept, 4-8.2000, Paper 2-1; Ecole Centrale de Lyon 2000.
• 17. Kielb R.: CFD for turbomachinery unsteady flows: an aeroelastic design perspective,ISUAAAT'2000, 9t}r Int. Symp. on Unsteady Aerodynamics, Aeroacustic and Aeroelasticity of Turbomachines, Books of Abstract, Lyon, France. Sept. 4-8.2000, Legandre Lecture; Ecole Centrale de Lyon 2000.
• 18. Rządkowski R., Gnesin V., Kovalyov A.: The 2D flutter of bladed disk in an ,incompressible flow Unsteady Aerodynamics and Aeroelasticity of Turbonrachines, Ed. by T. H. Fransson, 1998, 317-334,
• 19. Bolsc A., Fransson T. H,: Aeroelasticity in turbomachines. Compariso:, of Theoretical and experimental cascade results, Comm. du Laboratoire de Thermiqe Appliquee et Turbomachines, No. 13, Lausanne, Epfel, 1986.
• 20. Rządkowski R., Kovalyov A,: Selfercited vibration of a palisade in 2D subsonic, transonic and supersonic flow Task Quarterly, 4(2000), No. 1, 48-80
• 21. Kovalyov A.: Numerical analysis of flutter of cascades ,in subsonic, Transonic and Supersonic Flow, PhD Thesis, IFFM PAS, Gdańsk 1999 (in Russian)
• 22. Rządkowski, R,: Dynamics of steam turbine blading, Part Two: Bladed discs, Ossolineum, Wrocław-Warszawa 1998.
• 23. He L. and Ning W.: Nonlinear harmonic analysis of unsteady transonic inviscid and viscous flows, Unsteady Aerodynamics and Aeroelasticity of Turbomachines, Proc. of the 8th Int. Symp. HeId in Stockholm, Sweden Sept. 14-18.1998, 183-189.