利用分形理论分析渐开线双曲面齿轮强度的新方法

IF 1.5 4区 工程技术 Q3 ENGINEERING, MECHANICAL
Junhai Guo, Changbin Dong, Shuai Wei, Yongping Liu
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引用次数: 0

摘要

渐开线斜齿齿轮的接触强度和应力计算比较困难,现有的分析方法存在计算时间长、精度差等严重问题,严重影响了这类齿轮的推广和发展。为解决这一技术难题,利用赫兹公式对渐开线斜齿齿轮的几何结构进行了考虑。此外,还确定了接触比、接触比系数、节锥角系数等参数的计算方法。利用分形理论建立了渐开线双曲面齿轮的赫兹接触模型和分形接触模型,并得到了接触应力的分布规律。在此基础上,对赫兹接触模型、分形接触模型和有限元模型得出的齿面接触应力进行了对比分析。有限元分析证明,本文建立的渐开线斜齿齿轮赫兹接触应力计算公式和分形接触模型具有较高的精度,能精确反映齿面的实际接触应力值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New method for strength analysis of involute beveloid gears using fractal theory

The calculation of contact strength and stress of involute beveloid gears is difficult, and existing analysis methods encounter serious problems, such as long calculation time and poor accuracy, seriously affecting the promotion and development of these gears. To solve this technical problem, the geometric structure of involute beveloid gears is considered using the Hertz formula. In addition, the calculation methods for parameters, such as the contact ratio, contact ratio coefficient, and pitch cone angle coefficient, are determined. A Hertz contact model and a fractal contact model for involute beveloid gears were established using fractal theory, and the distribution law of contact stress was obtained. On this basis, a comparative analysis was conducted on the tooth surface contact stress obtained from the Hertz contact model, fractal contact model, and finite element model. The finite element analysis proves that the Hertz contact stress calculation formula and fractal contact model for involute beveloid gears established in this article have high accuracy, and can precisely reflect the actual contact stress value of the tooth surface.

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来源期刊
Journal of Mechanical Science and Technology
Journal of Mechanical Science and Technology 工程技术-工程:机械
CiteScore
2.90
自引率
6.20%
发文量
517
审稿时长
7.7 months
期刊介绍: The aim of the Journal of Mechanical Science and Technology is to provide an international forum for the publication and dissemination of original work that contributes to the understanding of the main and related disciplines of mechanical engineering, either empirical or theoretical. The Journal covers the whole spectrum of mechanical engineering, which includes, but is not limited to, Materials and Design Engineering, Production Engineering and Fusion Technology, Dynamics, Vibration and Control, Thermal Engineering and Fluids Engineering. Manuscripts may fall into several categories including full articles, solicited reviews or commentary, and unsolicited reviews or commentary related to the core of mechanical engineering.
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