Meshing characteristic analysis of spur gear pair with tooth surface wear fault based on improved fractal method

IF 3.7 2区材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING

Journal of Central South University Pub Date : 2024-06-24 DOI:10.1007/s11771-024-5620-9

Zi-meng Liu, Cheng Chang, Hao-dong Hu, Hui Ma, Shun-hao Zhang, Song-tao Zhao, Xiao-xu Zhang, Zhi-ke Peng

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Abstract

The three-dimensional (3D) fractal contact model of the interaction between gear teeth is established considering the actual surface morphology of gear teeth. The time-varying meshing stiffness (TVMS) model of spur gear pair is established and verified by finite element (FE) method based on the loaded tooth contact analysis (LTCA) method and considering the influence of friction between the gear teeth. The meshing characteristics and wear depth under tooth surface wear fault condition are analyzed by incorporating the Archard’s wear model, considering the effects of tooth roughness and friction. The effects of friction and fractal parameters on TVMS and wear depth are analyzed. Friction causes the TVMS at the pitch line position to mutate. The increase in friction coefficient and decrease in fractal dimension result in the increase in wear depth and the decrease in TVMS within the region where two pairs of gear teeth engage in meshing. TVMS shows partial linearity with the change of fractal dimension. The influence of fractal dimension on TVMS and wear depth becomes increasingly prominent with the progression of wear cycles, surpassing the influence of friction coefficient.

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基于改进分形法的齿面磨损故障正齿轮副网格特性分析

考虑到齿轮齿的实际表面形态，建立了齿轮齿间相互作用的三维（3D）分形接触模型。基于加载轮齿接触分析（LTCA）方法并考虑到轮齿间摩擦的影响，通过有限元（FE）方法建立并验证了正齿轮对的时变啮合刚度（TVMS）模型。考虑到齿面粗糙度和摩擦的影响，结合 Archard 磨损模型分析了齿面磨损故障条件下的啮合特性和磨损深度。分析了摩擦和分形参数对 TVMS 和磨损深度的影响。摩擦导致节线位置的 TVMS 发生变化。摩擦系数的增加和分形尺寸的减小导致磨损深度的增加，以及两对轮齿啮合区域内 TVMS 的减小。TVMS 随分形尺寸的变化而呈现部分线性关系。随着磨损周期的增加，分形尺寸对 TVMS 和磨损深度的影响越来越大，超过了摩擦系数的影响。

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来源期刊

Journal of Central South University METALLURGY & METALLURGICAL ENGINEERING-

CiteScore

6.10

自引率

6.80%

发文量

242

审稿时长

2-4 weeks

期刊介绍： Focuses on the latest research achievements in mining and metallurgy Coverage spans across materials science and engineering, metallurgical science and engineering, mineral processing, geology and mining, chemical engineering, and mechanical, electronic and information engineering