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Abstract

The aim of the paper is to propose appropriate numerical methods and constitutive models for solution of the gear dynamic contact problem. This has been done through comparison with international gear standards. Such solution techniques are necessary for an accurate analysis of stress state and resultant design improvement of the complex gear configurations. This paper consists of two parts. The first part presents a solution of the general transient contact problem when the stress state of the tooth is studied. This has been carried out in two phases, initially using a coarse multiple-tooth finite element model to establish contact conditions and subsequently using a refined single-tooth-pair finite element model. Differences of up to 163 per cent were found between various international gear standards and the computed results. Various reasons for this have been discussed. The second part of the paper presents results from two types of local analysis which model viscoplasticity in the surface layer and defect generation respectively. These studies achieve a fuller understanding of the stress distribution in the contact zone, its deviation from the classical Hertzian closed-form solution and provide a firm basis for modelling the effect of gear dynamics on local damage, wear and failure. All the computations are made for single-tooth contact and procedures for optimizing the integration time step are used.

Keywords

finite element modelling local contact gear teeth

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Finite element modelling of local contact conditions in gear teeth

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