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Mathematical Problems in Engineering
Volume 2017, Article ID 6143054, 11 pages
Research Article

Analysis of Contact Part of Error Tooth Surface and Dynamic Performance Prediction for Involute Gear

School of Mechanical Engineering, University of Shanghai for Science and Technology, No. 516, Jungong Road, Yangpu, Shanghai 200093, China

Correspondence should be addressed to Zhonghou Wang; moc.361@81uohgnohz_gnaw

Received 11 August 2017; Revised 12 October 2017; Accepted 24 October 2017; Published 12 December 2017

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2017 Xinrong Liu and Zhonghou Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Aiming at the problem of constructing digital model of involute gear with error, the method of linear interpolation combined with area weight interpolation is proposed. Based on the non-feature discrete data block technique, the true tooth surface discrete data obtained by the coordinate measuring instrument is divided into blocks, and then the interpolation method is used to interpolate the nonmeasurement area to construct the real tooth surface with errors. The contact part and dynamic performance of the gear are predicted by using the constructed error tooth surface. The contact error of the tooth surface and the transmission error of the gear are verified by the test, and the reliability of the judgment result is judged by measuring the vibration in the direction of the gear meshing line. Compared with the example, this method not only reduces the computational complexity of the interpolation algorithm, but also improves the accuracy of the tooth interpolation data points and the smoothness of the error tooth surface.