STUDY ON CONTACT STRESS OF BEVELOID GEAR BASED ON FRACTAL THEORY

LIU YongPing; WEI Shuai; DONG ChangBin; WEI YongQiao; REN ZhongTao; LI ZeYu

doi:10.16579/j.issn.1001.9669.2024.01.022

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STUDY ON CONTACT STRESS OF BEVELOID GEAR BASED ON FRACTAL THEORY

更新时间：2024-04-18

- STUDY ON CONTACT STRESS OF BEVELOID GEAR BASED ON FRACTAL THEORY
- Journal of Mechanical Strength Vol. 46, Issue 1, Pages: 169-175(2024)
- 作者机构：
  
  1. 兰州理工大学机电工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2024.01.022
  CLC： TH122
- Published：15 February 2024，
- 稿件说明：
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LIU YongPing, WEI Shuai, DONG ChangBin, et al. STUDY ON CONTACT STRESS OF BEVELOID GEAR BASED ON FRACTAL THEORY. [J]. Journal of Mechanical Strength 46(1):169-175(2024)
DOI：

LIU YongPing, WEI Shuai, DONG ChangBin, et al. STUDY ON CONTACT STRESS OF BEVELOID GEAR BASED ON FRACTAL THEORY. [J]. Journal of Mechanical Strength 46(1):169-175(2024) DOI： 10.16579/j.issn.1001.9669.2024.01.022.

摘要

为了更准确地反应变齿厚齿轮齿面真实接触应力，构建了变齿厚齿轮的齿面接触系数，并对其合理性进行了验证。基于分形接触理论和Hertz接触理论建立了综合考虑齿轮齿面粗糙形貌、接触点弹性变形、材料特性等参数的变齿厚齿轮接触模型，计算变齿厚齿轮的接触强度，并与有限元计算结果进行比较，验证了方法的有效性。通过分形理论得出齿轮啮合时载荷与面积的关系，并对4个基本参数进行仿真，分析分形接触模型的效果。结果表明，通过数值模拟和分析实际接触面积与载荷的关系图，验证了分形接触模型的准确性。基于有限元理论、Hertz接触理论和分形理论，对变齿厚齿轮的齿面接触强度进行了比较和分析，验证了分形接触模型计算变齿厚齿轮接触应力的正确性，该模型的建立为变齿厚齿轮的设计与强度校核提供了一定的理论依据。

Abstract

In order to more accurately reflect the real contact stress on the tooth surface of beveloid gear

this paper constructs the tooth surface contact coefficient of beveloid gear

and verifies its rationality. Based on fractal contact theory and Hertz contact theory

a contact model of beveloid gear is established

which comprehensively considers the parameters such as gear tooth surface roughness

elastic deformation of contact point and material characteristics. The effectiveness of this method is contact strength of beveloid gear

which is compared with the finite element calculation results by calculating. The relation between load and area during gear meshing is obtained through fractal theory

and four basic parameters are simulated to analyze the effect of fractal contact model. The results show that the accuracy of fractal contact model is verified by numerical simulation and analysis of the relation between actual contact area and load. This paper is based on the finite element theory

Hertz contact theory and fractal theory

the tooth surface contact strength of beveloid gear is compared and analyzed

the correctness of calculating the contact stress of beveloid gear by fractal contact model is verified. The establishment of this model provides a certain theoretical basis for the design and strength check of beveloid gear.

关键词

变齿厚齿轮分形理论接触应力Hertz接触理论

Keywords

Beveloid gearFractal theoryContact stressHertz contact theory

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