Open Access

ARTICLE

Application of Isogeometric Analysis Method in Three-Dimensional Gear Contact Analysis

by Long Chen¹, Yan Yu¹, Yanpeng Shang¹, Zhonghou Wang^1,*, Jing Zhang²

1 School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China
2 Zhejiang Fine-Motion Robot Joint Technology Co., Ltd., Taizhou, 317600, China

* Corresponding Author: Zhonghou Wang. Email:

(This article belongs to the Special Issue: Structural Design and Optimization)

Computer Modeling in Engineering & Sciences 2024, 139(1), 817-846. https://doi.org/10.32604/cmes.2023.031595

Received 23 July 2023; Accepted 18 September 2023; Issue published 30 December 2023

Abstract

Gears are pivotal in mechanical drives, and gear contact analysis is a typically difficult problem to solve. Emerging isogeometric analysis (IGA) methods have developed new ideas to solve this problem. In this paper, a three-dimensional body parametric gear model of IGA is established, and a theoretical formula is derived to realize single-tooth contact analysis. Results were benchmarked against those obtained from commercial software utilizing the finite element analysis (FEA) method to validate the accuracy of our approach. Our findings indicate that the IGA-based contact algorithm successfully met the Hertz contact test. When juxtaposed with the FEA approach, the IGA method demonstrated fewer node degrees of freedom and reduced computational units, all while maintaining comparable accuracy. Notably, the IGA method appeared to exhibit consistency in analysis accuracy irrespective of computational unit density, and also significantly mitigated non-physical oscillations in contact stress across the tooth width. This underscores the prowess of IGA in contact analysis. In conclusion, IGA emerges as a potent tool for addressing contact analysis challenges and holds significant promise for 3D gear modeling, simulation, and optimization of various mechanical components.

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Graphic Abstract

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