A novel accurate- efficient loaded contact analysis method for hypoid gears based on ease-off topography discretization and TE-interference assessment

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2025-03-26 DOI:10.1016/j.mechmachtheory.2025.106012

Kaibin Rong , Jinyuan Tang , Zhaoyang Tian , Biyun Song , Haonan Li , Han Ding

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Abstract

Due to the highly complex geometry of hypoid gears, calculating contact pressure and load distribution in their design remains a challenging problem. This paper presents a novel method for efficiently and accurately performing load contact analysis. It begins with the introduction of a conforming discretization approach to improve the accuracy of the ease-off topography, facilitating precise determination of contact curves and gaps. A time-indexed matrix is developed to reconstruct the ease-off topography, enabling rapid indexing of contact curves and gaps during computation. By segmenting the contact curves using the matrix columns and incorporating the relationship between the contact gap and gear rotation angle, a rotation-load response model is formulated. This model enables the determination of contact force and pressure distribution after contact curve interference, accounting for substrate deformation in the compensated rotation. The relationship between the transmission error (TE) curve and interference is established, permitting calculations of the number of contact pairs at various moments under different loads, thereby supporting load distribution computation. Finally, finite element analysis results of a hypoid gear pair and a spiral bevel gear, alongside experiments, confirm the method's accuracy, efficiency, and versatility.

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一种基于地形离散化和te干扰评估的准双曲面齿轮精确高效载荷接触分析方法

由于准双曲面齿轮高度复杂的几何结构，在其设计中计算接触压力和负载分布仍然是一个具有挑战性的问题。本文提出了一种高效、准确地进行载荷接触分析的新方法。首先介绍了一种符合的离散化方法，以提高缓和地形的准确性，促进接触曲线和间隙的精确确定。建立了一个时间索引矩阵来重建缓和地形，使得在计算过程中能够快速索引接触曲线和间隙。利用矩阵列分割接触曲线，结合接触间隙与齿轮转角的关系，建立了齿轮的旋转载荷响应模型。该模型能够确定接触曲线干涉后的接触力和压力分布，考虑了补偿旋转中的基片变形。建立了传动误差（TE）曲线与干涉之间的关系，可以计算出不同负载下不同时刻的接触副数，从而支持负载分配计算。最后，对准双曲面齿轮副和螺旋锥齿轮进行了有限元分析，并结合实验验证了该方法的准确性、高效性和通用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanism and Machine Theory 工程技术-工程：机械

CiteScore

9.90

自引率

23.10%

发文量

450

审稿时长

20 days

期刊介绍： Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry