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Abstrakty
A three-dimensional nonlinear time-marching method and numerical analysis for aerolastic behaviour of oscillating blade row of the IV Standard Configuration has been presented. The approach is based on the solution of the coupled fluid-structure problem in which the aerodynamic and structural equations are integrated simultaneously in time. In this formulation of a coupled problem, the interblade phase angle at which stability (or instability) would occur, is a part of the solution. The ideal gas flow through multiple interblade passage (with periodicity on the whole annulus) is described by the unsteady Euler equations in the form of conservative laws, which are integrated by use of the explicit monotonous second order accurate Godunov-Kolgan finite volume scheme and a moving hybrid H-H (or H-O) grid. The structure analysis uses the modal approach and 3D finite element model of the blade. The blade motion is assumed to be a linear combination of modes shapes with the modal coefficients depending on time. The influence of the natural frequencies on the aerodynamic for the Fourth Standard Configuration is shown. The instability regions for the first two modes shapes and the distribution of the aerodamping coefficient along blade length were shown for a harmonic oscillation with the assumed interblade phase angle.
Słowa kluczowe
Rocznik
Tom
Strony
37--50
Opis fizyczny
Bibliogr. 17 poz., rys.
Twórcy
autor
- Ukrainian National Academy of Sciences, Institute for Problems in Machinery, Department of Aerohydromechanics, Kharkov, Ukraine
autor
- Institute of Fluid-Flow Machinery, Polish Academy of Sciences, Centre for Mechanics of Machines
Bibliografia
- [1] Bakhle M.A., Reddy T.S.R., and Keith T.G.: Time domain flutter analysis of cascades using a full-potential solver, AIAA J. 30(1992). No. 1, 163.
- [2] Bendiksen O.O.: Nonlinear blade vibration and flutter in transonic rotors, Proe. of ISROMAC - 7, The 7th Intern. Syinp. on Transport Phenomena and Dynamics of Rotating Machinery, 22-26 February, 1998, Honolulu, Hawaii, USA, 664.
- [3] Bendiksen, O.O.: Transonic bending flutter in rotors and cascades, The 9th International Symposium on Unsteady Aerodynamics and Aeroelasticity of Turbomachines, Lyon, France, 4-8 September 2000, 791-804.
- [4] Boles A., and Fransson T.H.: Aeroelasticity in turbomachines: Comparison of theoretical and experimental cascade results. Communication du LTAT. -EPFL Switzerland, No. 13, 1986, 174.
- [5] Carstens V., Belz J.: Numerical investigation of nonlinear fluid-structure interaction in vibrating compressor blades, ASME paper 2000-GT-0381, 2000.
- [6] He L.: Integration of 2D fluid/structure coupled systems for calculation of turbomachinery aerodynamic, aeroelastic instabilities, Journal of Computational Fluid Dynamics. 3(1994). 217.
- [7] He L. and Ning W.: Nonlinear harmonic analysis of unsteady transonic inviscid arid viscous flows, unsteady aerodynamics and aeroelasticity of turbomachines, Proceedings of the 8th International Symposium held in Stockholm, Sweden, 14-18 September, 1998, 183-189.
- [8] Gnesin V. I., and Rzadkowski R.: The theoretical model of 3D flutter in subsonic, transonic and supersonic inviscid flow, Transactions of the Institute of Fluid-Flow Machinery, No. 106, 2000, 45-68.
- [9] Gnesin V. I.: .4 numerical study of 3D flutter in turbomachines using a fluid structure coupled method, Engineering Mechanics, 6(1999), No. 4/5. 253-267.
- [10] Kielb R.: CFD for turbo-machinery unsteady flows: an aeroelastic design perspective, The 9tn International Symposium on Unsteady Aerodynamics and Aeroelasticity of Turbornachines, Lyon, France, 4-8 September 2000, 47-57.
- [11] Moyroud F., Jacquet-Richardet G., and Fransson T. H.: 4 modal coupling for fluid and structure analysis of turbomachine flutter application to a fan stage, ASME Paper 96-GT-335, 1996, 1-19.
- [12] Rzadkowski R.: Dynamics of steam turbine blading. Part two: Bladed discs, Ossolineum, Wrocaw-Warszawa, 1998.
- [13] Rzadkowski R., Gnesin V. and Kovalov A.: The 2D flutter of bladed disc in an incompressible flow, The 8th International Symposium on Unsteady Aerodynamics and Aeroelasticity of Turbornachines, Stockholm, Sweden, 14-18 September 1997, 317-334.
- [14] Rzadkowski R., Gnesin V.: The numerical and experimental verification of the 3D inviscid code, Transactions of the Institute of Fluid-Flow Machinery, No. 106, 2000, 69-95.
- [15] Rzadkowski R., Gnesin V.: Aeroelastic behaviour of the last stage steam turbine blades. Part I. Harmonic oscillations, Transactions of the Institute of Fluid-Flow Machinery, No 108, 2001, 59-72.
- [16] Gnesin V., Rzadkowski R.: Aeroelastic behaviour of the last stage steam turbine blades. Part II. Coulped fluid-structure oscillations harmonic oscillations, Transactions of the Institute of Fluid-Flow Machinery, No 108, 2001, 73-94.
- [17] Vahdati M., Sayma A. I., Sbardella L., Marsahl J. G., Imregun M.: Ranking of numerical methods for fan flutter prediction. The 9th International Symposium on Unsteady Aerodynamics and Aeroelasticity of Turbornachines, Lyon, France, 4-8 September 2000, 695-708.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM2-0008-0014
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