Sensitivity analysis for the tolerancing of gear profiles with stochastic errors

Conference paper (2012)
Department
Design Engineering (IDE) (TU Delft)
Copyright: © 2012 Rajabalinejad, M.
Gear vibration Indexing errors Profile modifications Dynamic load factor Dynamical simulation Sensitivity chart
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Published Date

25-06-2012

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Source:

PSAM 11: 11th International Probabilistic Safety Assessment and Management Conference & ESREL 2012: The Annual European Safety and Reliability Conference Scandic Marina Congress Center, Helsinki, Finland, 25-29 June 2012

Faculty

Industrial Design Engineering

Department

Design Engineering

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.