FREE HYDROELASTIC VIBRATIONS OF HYDROTURBINE HEAD COVERS

T Medvedovskaya

E Strelnikova

E Medvedyeva

Vol. 1, Issue 1, Jan-Dec 2015

Page Number: 41 - 53

Abstract:

For the first time, a method for frequencies and form determination of hydroelastic natural oscillations of hydroturbine head covers has been developed. Eigenmodes of the structure oscillations in fluid were investigated as a series in terms of vibration eigenmodes in vacuum. Hydroelasticity problem solving was obtained by making use of singular integral equations and a finite element method. A numerical analysis was carried out.

References

• Mikhajlov-Mikheyev, P.B.: Metallic materials reference-book for turbine- and motor-building. - M.-L.: MachGiz, - 1961. - p. 838;
• GOST 1412-85. Laminated-graphite cast iron for castings. - M.: Standards publishing house, 1985. - p. 3;
• Obukhov, E.: Effectiveness of electric power hydroaccumulation//Ukraine's economics, No. 4, 1997 - No. 4 - p.p.36-42;
• Veremeyenko, I., Zelenskaya, O, and others: Remaining service life estimation for hydroturbine head covers//Theoretical engineering - No. 12. - 1999. - p.p.3-8;
• Mitkevich, V.M., Medvedovskaya, T.Ph.: Application of finite element method and Fourier series expansion relatively to computation of cyclically symmetric structures consisting of bodies of revolution and radial plates//Academy of Sciences, UkrSSR, Institute for mechanical engineering problems - Kharkov, 1981 - dep. in VINITI on 2.07.81, No.3251;
• Kantor, B.Ya., Veremeyenko, I.S., and others: Dynamics investigation of cyclically symmetric load-carrying structures of hydraulic turbines//Perfection of physical simulation: Proceedings of Intern. Scient.-techn. Conf. - Kharkov: A.N.Podgorny-Institute for mechanical engineering problems at Ukraine's National Acad. of Sc., 1997 - p.p.503-506;
• Eygensohn, S.N., Titov, V.B.: Strained state experimental investigation of hydroturbine head cover ribs by a polarization-optical method// Power machinebuilding. - 1978. - No.11. - p.p.11-14;
• Medvedovskaya, T.Ph., Rzhevskaya I.E., Medvedyeva E.L. and others: The Strength of hydroturbine head cover and power pin of the PSPP hydroelectric machine. Aerospace science and technology National Aerospace University “Kharkiv Avoation Insyiture” – 2013. – № 9/106. – p.p. 220 – 225
• Veremeyenko, I., Zelenskaya, O. Medvedovskaya, T. and others: Finite-element analysis of strength and dynamic characteristics of large-size load-carrying structures of hydraulic turbines//Perfection of turbo-installations by methods of mathematical and physical simulation: Proceedings of Intern. Scient.-techn. Conf. - Kharkov: A.N.Podgorny-Institute for mechanical engineering problems at Ukraine's National Acad. of Sc., 2000. - p.p.502-508;
• Medvedovskaya, T.Ph., Medvedovsky, A.V, and others: Finite element method in the task for radial stiffness determination for cyclically symmetric loadcarrying structures of hydraulic turbines//Machine-building problems. - 1999. - Vol.2, No.1-2. - p.p.58-62;
• Timoshenko, S.P.: Oscillations in engineering. - M.: PhysMathGIZ, 1967. - p.444;
• Lamb, G.: Hydrodynamics. - Moscow-Leningrad: OGIZ. - 1947. -p.928;
• Gorelov, D.N., Guseva, L.A.: Blade oscillations of axial-flow turbines in a fluid stream//Aeroelasticity of turbo-machines: Proceedings of 6th All-Union Conf., Kiev, 1977. - Kiev, 1980. - p.p.81-89;
• Guenter, N.M.: Potential theory and its application to main tasks of mathematical physics. M.: GosTechTheorIzdat, 1953, p.416;
• Belotserkovsky, S.M., Lifanov, I.K.: Numerical methods in singular integral equations. - M.: Science, 1986 - p.254;
• Kantor, B.Ya., Naumenko, V.V., Strel'nikova, E.A: A Vortex Singularity Boundary Integral Equation Method for Elastic Blade Lattice Vibration Problem. - Hydroturbo-93 Referaty Proceeding. Brno 6.09-8.09.1993, p.p.183-192;
• Naumenko, V.V., Satsuk, V.G., Yavits, S.N.: Frequency and free oscillation form determination for elastic plates such as hydraulic turbine blades in ideal non-compressible fluid//Machine-building problems. - 1989. - Issue 31. - p.p.20- 23;
• Ventsel E.,. Naumenko V, Strelnikova E., Yeseleva E. Free vibrations of shells of revolution filled with a fluid. Engineering analysis with boundary elements, 34, pp. 856-862, 2010;
• Afinogenov, A.Yu., Lifanov, I.I.: On numerical solution of integral equations of planar and spatial diffraction problems. - Russ. J. Num. Anal. Math. Modelling. - 1992. - Vol.7, No.5, p.p.387-404;
• Naumenko V.V., Strelnikova H.A. Singular integral accuracy of calculations in two-dimensional problems using boundary element methods. Engineering analysis with boundary elements. №26, pp. 95-98, 2002.

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