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A three-dimensional numerical analysis for aerodynamic unsteady forces of the last stage steam turbine 13K215 rotor blades and total unsteady forces acting on the shaft from considered stage, have been presented. The numerical calculations were performed for different pressure distribution behind the rotor blades in circumferential direction (p2=6000, 7500, 9000, 7500 Pa). The analysis of the 3D transonic flow of an ideal gas through turbomachinery blade rows moving relatively one to another without takong into account the blades oscillations is presented. An ideal gas flow through the mutually moving stator and rotor blades with periodicity on the whole annulus is describrd by the unsteady Euler conservation equations, which are integrated using the explicit monotonous finite-volume difference scheme of Godunov-Kolgan and moving hybrid H-H grid. The algorithm proposed allows to calculate turbine stages with an arbitrary pitch ration of stator and rotor blades. The unsteady forces acting on the rotor blades in axial, tangential and radial directions were found. Due to non-uniform pressure distribution the low frequency excitation appeared. Values of the low frequency excitations are greater than the high frequency excitation caused by the stator blades. Next, the total unsteady forces acting on the shaft from all rotor blades in considered stage were calculated. Values of unsteady forces are very small in comparison to the single blade. The low frequency excitation disappeared. The high frequency excitation is depended on the number of rotor blades.
Słowa kluczowe
Rocznik
Tom
Strony
123--132
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
autor
- Institute of Fluid Flow Machinery Polish Academy Sciences, ul. Fiszera 14, 80-952 Gdańsk, Poland
- Polish Naval Academy, Śmidowicza 71, 81-919 Gdynia, Poland
autor
- Dept. of Aerohydromechanics, Insttitute for Problems in Machinery Ukrainian National Academy of Sciences 2/10 Pozharsky st., Kharkov 310046, Ukraine
autor
- Institute of Fluid Flow Machinery Polish Academy Sciences, ul. Fiszera 14, 80-952 Gdańsk, Poland
Bibliografia
- [1] Bakhle, M.A., Reddy, T.S.R., and Keith T.G.: Time domain flutter analysis of cascades using a fuli - potential solver, AIAA J., Vol. 30, No 1, 163-173, 1992.
- [2] Bendiksen, O., O.: Nonlinear blade vibration and flutter in transonic rotors, Proc. of ISROMAC - 7, The 7th Intern. Symp. on Transport Phenomena and Dynamics of Rotating Machinery, Feb., 22-26, 1998. Honolulu, Hawaii, USA, 664, 1998.
- [3] Carstens V., Bełz J.: Numerical inuestigation of nonlinear fluid-structure interaction in vibrating compressor blades, ASME Paper 2000-GT-0381, 2000.
- [4] Chew J.W., Marshall J.G., Vahdati M. and Imregun M.: Part-Speed Flutter Analysis of a Wide-Chord Fan Blade, [in:] Unsteady Aerodynamics and Aeroelasticity of Turbomachines, T.H. Fransson (Ed.), Kluwer Academic Publ. (printed in the Netherlands), 707-724, 1998.
- [5] Gnesin V., Yershov S. and Rusanow A.: Numerical inuestigation of the SD effects for space flow through a turbomachine stage, Proc. of Fifth Int. Conf. on Fluid Mechanics, Cairo, 443-452, 1995.
- [6] Gnesin V.: Numerical study of low-freąuency flow instability in an axial transonic compressor stage, Proc. of Fifth Int. Conf. on Fluid Mechanics, Cairo, 257-268, 1995.
- [7] Gnesin V.: 3D-Unsteady Stator-Rotor Interaction in a Turbinę Stage, VDI Berichte 1186, Turbomachinery - Fluid Dynamie and Thermodynamic As-pects, 1995, 202-215.
- [8] Gnesin V., Rządkowski R: The SD-unsteady aerodynamic forces- the forced yibration of bladed dises, 8th Int. Symp. held in Stockholm, Sweden, 14-18 September 1997, [in:] Unsteady Aerodynamics and Aeroelasticity of Turbo¬machines, T.H. Fransson (Ed), 613-632, Kluwer Academic Publishers, 1998.
- [9] Gnesin, V., I., Rządkowski R. and Kolodyazhnaya, L., V.: A coupled fluid-structure analysis for SD flutter in turbomachines, ASME Paper 2000-GT-0380, 2000.
- [10] Gnesin V., Rządkowski R.: The theoretical model of SD flutter in subsonic, transonic and supersonic inuiscid flow, Trans, of the Institute of Fluid-Flow Machinery, No. 106, 45-68, 2000.
- [11] Godunov S. K. et al.: Numerical Solution of Multidimensional Problems in Gasdynamics, Nauka, Moscow 1976 (in Russian).
- [12] He L.: Integration of 2D fluid / structure coupled systems for calculation of turbomachinery aerodynamic, aeroelastic instabilities, J. of Comp. Fluid Dynamics. Vol.3, 217-247, 1984.
- [13] He L. And Ning W.: Nonlinear harmonie analysis of unsteady transonic inuiscid and uiscous flows, Unsteady Aerodynamics and Aeroelasticity of Turbomachines, Proc. of the 8th Int. Symp. held in Stockholm, Sweden. Sept. 14-18, 1998, 183-189.
- [14] Marshall J.G. and Imregun M.: A Reuiew of aeroelasticity methods with em-phasis on turbomachinery applications, J. of Fluids and Structures, Vol.lO. 1996, 237-257.
- [15] Rządkowski R.: Dynamics of Steam Turbinę Blading, Part Two Bladed Discs, Ossolineum, Wrocław-Warszawa, 1998.
- [16] Rządkowski R., Gnesin V.: Aeroelastic behauiour of the last stage steam turbinę blades. Part I. harmonie oscillations, Trans, of the Institute of Fluid-Flow Machinery, No. 108, 2001, 73-94.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM2-0060-0045