Abstract
The oscillations of a turbine blade are considered using two models: a naturally twisted rod and a three-dimensional body. The shape of the blade is determined by an array of coordinates of several cross-sections. The boundary value problems for the modes of free oscillations are derived and solved according to the finite difference method. A computer model of the blade as a three-dimensional body is constructed, and its modal analysis is performed in the Ansys program. The natural frequencies found from the two models are compared for various values of the relative length of the blade.
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References
Kostyuk AG (1982) Dynamics and strength of turbine engines (Dinamika i prochnost turbomashin). Mashinostroyenie, Moscow, p 264 (in Russian)
Bloch HP, Singh MP (2009) Steam turbines: design, application, and re-rating, 2nd edn. McGraw Hill Professional, New York, p 433
Levin AV, Borishanskiy КN, Кonson ED (1981) Strength and vibration of blades and disks of steam turbines (Prochnost i vibraciya lopatok i diskov parovih turbin). Mashinostroyenie, Leningrad, p 710 (in Russian)
Mechanical engineering (1995) Encyclopedia. In: Frolov KV (ed) Dynamics and strength of machines (Book 2). Theory of machines and mechanisms, vol 1–3 (Mashinostroyenie. Dinamika i prochnost mashin. Teoriya mashin i mehanizmov). Mashinostroyenie, Moscow, p 622 (in Russian)
Bauer VO et al (1981) Dynamics of aviation gas turbine engines (Dinamika aviacionnyh gazoturbinnyh dvigatelej). Mashinostroyenie, Moscow, p 232 (in Russian)
Biderman VL (1980) Theory of mechanical vibrations (Teoriya mekhanicheskih kolebanij). Vyisshaya shkola, Moscow, p 408 (in Russian)
Vibrations in technics (1980) Handbook. In: Dimetberg FM, Kolesnikov KS (ed) Vibrations of machines, constructions and their elements, vol 3 (Vibracii v tekhnike. Vibracii mashin, konsrukcij i ih elementov). Mashinostroyenie, Moscow, p 544 (in Russian)
Vorobiev YS, Shulzhenko NG (1978) Investigation of oscillations of turbine machines elements systems (Issledovanie kolebanij sistem ehlementov turboagregatov). Naukova Dumka, Кiev, p 134 (in Russian)
Zhiritskiy GS, Strunkin VA (1968) Design and strength calculation of parts of steam and gas turbines (Konstrukciya i raschet na prochnost detalej parovyh i gazovyh turbin). Mashinostroyenie, Moscow, p 520 (in Russian)
Eliseev VV (2003) Mechanics of elastic bodies (Mekhanika uprugih tel). Saint-Petersburg State Polytechn. University Publishing House, Saint-Petersburg, p 336 (in Russian)
Eliseev VV, Moskalets AA, Oborin EA (2016) One-dimensional models in turbine blades dynamics. Advances in mechanical engineering, Lecture notes in mechanical engineering. Springer, Berlin, pp 93–104. https://doi.org/10.1007/978-3-319-29579-4
Eliseev VV, Moskalets AA (2014) Vibrations of turbine blades as naturally twisted rods (Kolebaniya turbinnyh lopatok kak estestvenno zakruchennyh sterzhnej). In: Materials of 4th international scientific and practical conference “Modern Engineering: Science and Education”. Saint-Petersburg Polytechn. University Publishing House, Saint-Petersburg, pp 344–350 (in Russian)
Eliseev КV, Zinovieva TV (2008) Computational practical course in modern CAE-systems (Vychislitelnyj praktikum v sovremennyh CAE-sistemah). Saint-Petersburg State Polytechn. University Publishing House, Saint-Petersburg, p 112 (in Russian)
Borwein JM, Skerritt MB (2012) An introduction to modern mathematical computing: with Mathematica, vol XVI. Springer, Berlin, p 224
Zinovieva TV (2017) Calculation of shells of revolution with arbitrary meridian oscillation. Advances in mechanical engineering, Lecture notes in mechanical engineering. Springer, Berlin, pp 165–176. https://doi.org/10.1007/978-3-319-53363-6_17
Chapra SC, Canale RP (2014) Numerical methods for engineers. McGraw-Hill Education, New York, p 992
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Zinovieva, T.V., Moskalets, A.A. (2018). Modal Analysis of Turbine Blade as One- and Three-Dimensional Body. In: Evgrafov, A. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-72929-9_20
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DOI: https://doi.org/10.1007/978-3-319-72929-9_20
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