Isogeometric Analysis of Gear with Single Tooth Contact

doi:10.3901/JME.2021.03.107

Abstract

Abstract: The gear is an ancient transmission equipment and widely used in machine. Damage of tooth surface is the main form of gear failure. Therefore, gear contact analysis is an important means of gear design. The latest development of the isogeometric analysis (IGA) method draws some attention for its excellent performance in solving contact analysis. To cut down the difficulty, the spur gear is simplified into a planar model. Firstly, the planar gear model is built to be suitable for IGA by stitching multi patches of parametric NURBS surface, as well as the deviation between the model for IGA and the model presented by standard involute is discussed. Secondly, calculation formulas for planar contact analysis using IGA is derived. Then the calculation is applied on a pair of gears that are engagement. In order to verify the correctness of contact analysis by IGA, two comparative verification methods are given. One is comparing the analysis result from IGA with the theoretical calculation under the case of Hertz contact. The other is comparing the result from IGA with the result from the business CAE software. The comparison results show that IGA has the potential advantages of high calculation efficiency, fast speed, and smoother stress field when it is applied on contact problem. IGA not only provides a new method for contact analysis of gear, it but also offers a new path for the integration design of gear in the stage of modelling, simulation and optimization.

Key words: gear contact analysis, isogeometric analysis, finite element analysis, Hertz contact analysis

CLC Number:

TG156

CHEN Long, HAO Chanjuan, WANG Zhonghou, FENG Wenbin, YANG Yiming. Isogeometric Analysis of Gear with Single Tooth Contact[J]. Journal of Mechanical Engineering, 2021, 57(3): 107-115.

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