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Vibrations of Turbine Blades as Elastic Shells

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Advances in Mechanical Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

We consider vibrations of short turbine blades which have the length and the width of the same order of magnitude. We use the modern variant of the classical Kirchhoff shells based on Lagrange mechanics. The equations in components are derived from the tensor equations with account for the natural twist of the blade. We take displacement approximation with coefficients that are generalized coordinates of the Lagrange equations. The algorithm of calculations with computer mathematics is proposed; it includes evaluation of the generalized masses and stiffnesses. We present a benchmark example with the shell modal analysis.

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Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia

    Vladimir V. Eliseev & Artem A. Moskalets

Authors
  1. Vladimir V. Eliseev
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  2. Artem A. Moskalets
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Corresponding author

Correspondence to Artem A. Moskalets .

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Editors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia

    Alexander N. Evgrafov

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Eliseev, V.V., Moskalets, A.A. (2018). Vibrations of Turbine Blades as Elastic Shells. 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_7

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  • DOI: https://doi.org/10.1007/978-3-319-72929-9_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-72928-2

  • Online ISBN: 978-3-319-72929-9

  • eBook Packages: EngineeringEngineering (R0)

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