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Vibro-impact dynamics of large-scale geared systems

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Abstract

This work is concerned with the analysis of vibro-impact responses observed in large-scale nonlinear geared systems. Emphasis is laid on the interactions between the high-frequency internal excitation generated by the meshing process, i.e. the static transmission error and time-varying mesh stiffness, and low-frequency external excitations. To this end, a three-dimensional finite element model of a pump equipped with a reverse spur gear pair (gear ratio \(1\!:\!1\)) is built. The model takes into account the flexibility of the kinematic chain, the bearings and the housing and the gear backlash nonlinearity. A reduced-order model is solved with the Harmonic Balance Method coupled to an arc-length continuation algorithm which allows one to compute the periodic solutions of the system. The onset and disappearance of vibro-impact responses is studied through the computation of grazing bifurcations. Results show that the coupling between the external excitation and the time-varying mesh stiffness term greatly modifies the characteristics of the responses in terms of number and periodicity of impacts and contact loss duration.

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Data availability

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was performed within the framework of the LabCom LADAGE (LAboratoire de Dynamique des engrenAGEs), created by the LTDS and the Vibratec Company and operated by the French National Research Agency (ANR-14-LAB6-0003). It was also performed within the framework of the LABEX CeLyA (ANR-10-LABX-0060) of Université de Lyon, within the program “Investissements d’Avenir” (ANR-16-IDEX-0005) operated by the French National Research Agency (ANR).

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  1. Laboratoire de Tribologie et Dynamique des Systèmes, UMR CNRS 5513, Ecole Centrale de Lyon, 36 avenue Guy de Collongue, 69134, Ecully Cedex, France

    Adrien Mélot, Joël Perret-Liaudet & Emmanuel Rigaud

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  1. Adrien Mélot
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Appendix

Appendix

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Table 2 List of harmonics used in the convergence study
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Mélot, A., Perret-Liaudet, J. & Rigaud, E. Vibro-impact dynamics of large-scale geared systems. Nonlinear Dyn 111, 4959–4976 (2023). https://doi.org/10.1007/s11071-022-08144-5

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