3-D inviscid self-excited vibrations of a blade row in the last stage turbine |
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| Institution: | 1. Institute of Fluid-Flow Machinery, Polish Academy of Sciences, Fiszera 14, PL 80-952 Gdańsk, Poland;2. Institute for Problems in Machinery, Ukrainian National Academy of Sciences, 2/10 Pozharsky Street, Kharkov 310046, Ukraine;1. Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600036, India;2. Department of Mathematical Sciences, Chalmers University of Technology, SE-41296 Gothenburg, Sweden;1. University of Newcastle, School of Engineering, NSW 2287 Callaghan, Australia;2. Institute of Polymer Materials, Department of Materials Science and Engineering, University of Erlangen-Nuremberg, 91058 Erlangen, Germany;3. University of Applied Sciences Aalen, Department of Surface Engineering and Materials Science, Faculty of Mechanical and Material Engineering, Beethovenstr. 1, 73430 Aalen, Germany;4. Institute of Biomaterials, Department of Materials Science and Engineering, University of Erlangen-Nuremberg, 91058 Erlangen, Germany;1. Dept. of Civil, Construction and Environmental Engineering, Iowa State Univ., Town Engineering Building, Ames, IA 50011, United States;2. Dept. of Electrical and Computer Engineering, Clemson Univ., Clemson, SC 29634, United States;1. Sumy State University, Rymskyi-Korsakov Str. 2, Sumy 40007, Ukraine;2. P.J. Šafárik University, Park Angelinum 9, 04013 Košice, Slovakia;3. NanoBioMedical Centre, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland;4. NTUU “Igor Sikorsky Kyiv Polytechnic Institute”, Peremohy Avenue 37, 03056 Kyiv, Ukraine;5. Institute of Magnetism NAS of Ukraine, Vernadsky Avenue 36-b, 03142 Kyiv, Ukraine;1. National Inter-University Consortium for Telecommunications, Italy;2. Department of Electrical, Electronic and Telecommunication Engineering, and Naval Architecture (DITEN), University of Genoa, Italy;3. Dipartimento di Ingegneria Elettrica, Elettronica e Informatica (DIEEI), University of Catania, Italy |
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| Abstract: | Presented here is a three-dimensional (3-D) nonlinear time-marching method for the aeroelastic behaviour of an oscillating turbine blade row. The approach has been based in the solution of a coupled fluid–structure problem where the aerodynamic and structural dynamic equations are integrated simultaneously in time. This provides the correct formulation of a coupled problem, as the interblade phase angle (IBPA) at which stability (instability) would occur is also a part of solution. The ideal gas flow around multiple interblade passages (with periodicity in the entire annulus) is described by the unsteady Euler equations in conservative form, which are integrated by using the explicit monotonic second-order accurate Godunov–Kolgan finite-volume scheme and a moving hybrid H–O (or H–H) grid. The fluid and the structural equations are solved using the modal superposition method. An aeroelasticity prediction of a turbine blade of 0.765 m is presented. The natural frequencies and modal shapes of the blade were calculated by using 3-D finite element models. The instability regions for five mode shapes and the distribution of the aerodamping coefficient along the blade length were shown for harmonic oscillations with an assumed IBPA. The coupled fluid–structure oscillations in which the IBPA is part of the solution are shown. |
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