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A comparison of stability computational methods for periodic solution of nonlinear problems with application to rotordynamics

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Abstract

In this paper a comparative study of five different stability computational methods based on the Floquet theory is presented. These methods are compared in terms of accuracy and CPU performance. Tests are performed on a set of nonlinear problems relevant to rotating machinery with rotor-to-stator contact and a variable number of degrees of freedom, whose periodic solutions are computed with the Harmonic Balance Method (HBM).

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Acknowledgements

This work was partially supported by the French National Agency (ANR) in the framework of its Technological Research COSINUS program (IRINA, project ANR 09 COSI 008 01 IRINA).

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Authors and Affiliations

  1. CNRS, INSA-Lyon, LaMCoS UMR5259, Université de Lyon, 69621, Villeurbanne cedex, France

    Loïc Peletan, Sébastien Baguet & Georges Jacquet-Richardet

  2. LaMSID UMR EDF-CNRS-CEA 2832, EDF R&D, 92141, Clamart Cedex, France

    Mohamed Torkhani

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  1. Loïc Peletan
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  2. Sébastien Baguet
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  3. Mohamed Torkhani
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  4. Georges Jacquet-Richardet
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Correspondence to Loïc Peletan.

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Peletan, L., Baguet, S., Torkhani, M. et al. A comparison of stability computational methods for periodic solution of nonlinear problems with application to rotordynamics. Nonlinear Dyn 72, 671–682 (2013). https://doi.org/10.1007/s11071-012-0744-0

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  • DOI: https://doi.org/10.1007/s11071-012-0744-0

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