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Non-stationary Operating Conditions of Rotating Machines: Assumptions and Their Consequences

  • Emna SghaierEmail author
  • Adeline Bourdon
  • Didier Remond
  • Jean-Luc Dion
  • Nicolas Peyret
Conference paper
Part of the Applied Condition Monitoring book series (ACM, volume 15)

Abstract

The growing use of rotating machines operating in non-stationary conditions gave rise to a greater need to a higher precision for describing their dynamic behavior. The latter has always been based on a certain number of simplifying assumptions. In particular, the spinning speed is considered either constant or following a given law of variation as a function of time, resulting in a dynamic model that is limited to specific operating conditions. The aim of this work is to present a more general dynamic model of rotating machines, which accurately reflects its behavior in real working conditions. No assumption is made on the speed of rotation; it is included as an unknown of the dynamic problem by introducing a degree of freedom combining both the free body rotation and the torsional deformation. The instantaneous angular speed (IAS) is then deduced not only from the induced torque, but also from the whole dynamic behavior of the structure taking into account the periodic geometry (e.g.: gears, bearings) as well as the operating conditions (e.g.: going through the critical speeds). Making no assumption on the angular speed leads to a new formulation of the gyroscopic effect strongly present at very high speeds. This new formulation shows a coupling between the different degrees of freedom as well as a nonlinear behavior of the structure. The results of both classic and new formulations are compared for an architecture of a rotating machine to highlight the utility of the innovative approach in non-stationary operating conditions.

Keywords

Rotor dynamics Gyroscopic effect Non-stationary conditions Very-high speed Instantanious angualr speed (IAS) 

Notes

Acknowledgments

This work has been done in the context of the RedHV+ project funded by the French State, the Auvergne-Rhône-Alpes region and the county Council of Haute Savoie. The authors would like to thank the RedHV+ team and associated partners. See http://www.redhv.fr/en/.

References

  1. 1.
    Lalanne M, Ferraris G (1998) Rotordynamics Prediction in Engineering. Wiley, HobokenGoogle Scholar
  2. 2.
    Yamamoto T, Kono K (1970) On vibrations of a rotor with variable rotating speed. Bull JSME 13(60):757–765CrossRefGoogle Scholar
  3. 3.
    Al-bedoor BO (2000) Transient torsional and lateral vibrations of unbalanced rotors with rotor-to-stator rubbing. J Sound Vib 229(3):627–645CrossRefGoogle Scholar
  4. 4.
    Gluse MR (1967) Acceleration of an unbalanced rotor through its critical speeds. Nav Eng J 79(1):135–144CrossRefGoogle Scholar
  5. 5.
    Matsuura K (1980) A study on a rotor passing through a resonance. Bull JSME 23(179):749–758CrossRefGoogle Scholar
  6. 6.
    Li L, Singh R (2015) Analysis of transient amplification for a torsional system passing through resonance. Proc Inst Mech Eng Part C: J Mech Eng Sci 229(13):2341–2354CrossRefGoogle Scholar
  7. 7.
    Srinivasan A, Thurston TW (2012) The limited-torque acceleration through critical speed phenomenon in rotating machinery. In: ASME Turbo Expo 2012: turbine technical conference and exposition, pp 607–613. American Society of Mechanical EngineersGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Emna Sghaier
    • 1
    • 2
    Email author
  • Adeline Bourdon
    • 1
  • Didier Remond
    • 1
  • Jean-Luc Dion
    • 2
  • Nicolas Peyret
    • 2
  1. 1.University of Lyon, LaMCoS, INSA-Lyon, CNRS UMR5259LyonFrance
  2. 2.Laboratoire QUARTZ EA 7393 - SUPMECA ParisSaint OuenFrance

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