Novel Decomposition Methodology for Tooth Contact Analysis and Experiment Tests

doi:10.3901/JME.2018.05.047

Abstract

Abstract: Tooth contact includes two parts:tooth surface contact and edge contact. The conventional approach for tooth contact analysis needs to establish the different mathematical models for tooth surface contact and edge contact respectively. In addition, determination of each contact point entails the solution of a system of five nonlinear equations, which leads to instability of the algorithm. A new algorithm for tooth contact analysis is proposed-decomposition method. This new algorithm established the uniform mathematical model to analysis the tooth surface contact and edge contact, moreover, the number of solving nonlinear equations for searching contact point is reduced from 5 to 2. This novel algorithm of tooth contact analysis is simple, effective and could be used to various types of gear pairs. The effectiveness of this algorithm was demonstrated on a spiral bevel gear pair example. Contact pattern and transmission errors were calculated by the novel algorithm, Gleason software and the traditional algorithm respectively. Comparison in tooth surface contact analysis between the novel algorithm and the Gleason software shows that contact patterns are identical and the difference of the magnitude of transmission errors is about 0.29″. In comparing the novel algorithm with the traditional algorithm for edge contact analysis, there are relatively few differences for contact patterns. A pair of grinding spiral bevel gear were set on a gear meshing tester and the experimental tooth contact patterns verified the effectiveness of the proposed algorithm.

Key words: contact pattern, edge tooth contact analysis, instantaneous conjugate contact curve, tooth contact analysis, transmission errors

CLC Number:

TH132

CAO Xuemei, YANG Bohui, DENG Xiaozhong. Novel Decomposition Methodology for Tooth Contact Analysis and Experiment Tests[J]. Journal of Mechanical Engineering, 2018, 54(5): 47-52.

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