Sensitivity analysis for the tolerancing of gear profiles with stochastic errors

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    Abstract

    This paper introduces the concept of the ‘sensitivity chart’ as an applied tool to evaluate the effect of profile modifications on the load factor of gears with stochastic indexing errors and to find optimal solutions. The embedded ability to evaluate different solutions simultaneously also allows the analysis of the sensitivity of technical designs to variations in the manufacturing parameters, from which the term ‘sensitivity chart’ is derived. To build a sensitivity chart, the exact geometry of tooth meshing is incorporated into a dynamical non-linear model of the considered gear system, seamlessly embedding the effect of pitch errors, tooth separation, degree-of-freedom coupling, and profile modifications. Various possible combinations of error distributions and profile corrections are applied to the gear model, which is simulated dynamically to calculate the load factor. The sensitivity charts are compiled by post-processing and interpolation of this simulation data
    Original languageEnglish
    Title of host publication11th International Probabilistic Safety Assessment and Management Conference and the Annual European Safety and Reliability Conference 2012 (PSAM11 ESREL 2012)
    PublisherCurran Associates Inc.
    ISBN (Print)9781622764365
    Publication statusPublished - 2012
    Event11th International Probabilistic Safety Assessment and Management Conference and the Annual European Safety and Reliability Conference 2012 (PSAM11 - ESREL 2012) - Helsinki, Finland
    Duration: 25 Jun 201229 Jun 2012

    Conference

    Conference11th International Probabilistic Safety Assessment and Management Conference and the Annual European Safety and Reliability Conference 2012 (PSAM11 - ESREL 2012)
    Abbreviated titlePSAM/ESREL
    CountryFinland
    CityHelsinki
    Period25/06/1229/06/12

    Keywords

    • IR-89085
    • gear vibration
    • indexing errors
    • profile modifications
    • dynamic load factor
    • dynamical simulation
    • sensitivity chart

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