A geometric-based method for the mesh stiffness evaluation of spur gears with spatial cracks

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2023-10-14 DOI:10.1016/j.mechrescom.2023.104203

Bilal El Yousfi , Abdenour Soualhi , Kamal Medjaher

{"title":"A geometric-based method for the mesh stiffness evaluation of spur gears with spatial cracks","authors":"Bilal El Yousfi , Abdenour Soualhi , Kamal Medjaher","doi":"10.1016/j.mechrescom.2023.104203","DOIUrl":null,"url":null,"abstract":"<div>Bending fatigue is one of the most common failure modes of gear-based transmissions. Bending fatigue often manifests in the form of cracks at the gear tooth root, which propagates over the time, until a part of the tooth or the whole tooth is removed. Many papers have been published to determine the effect of this failure mode on the gear system dynamics, specifically, the gear mesh stiffness. But the majority of them considered uniform propagation paths and distribution of the crack profile. Moreover, as we know, the effect of the crack initiation point on the mesh stiffness deformation has not been investigated previously.In this study, a geometric-based method is proposed to investigate the effect of non-uniform crack faults on the gear mesh stiffness. This is realized by uncoupling the crack geometry modeling from the stiffness calculation equations, which will enable us to model any crack geometry without any change in the mathematical expressions of the stiffness components. Furthermore, limiting lines of a specific crack shape and initiation point are customized in this study to better consider the effect of random propagated cracks including reascending cracks on the mesh stiffness variation. Simulation results showed that the crack shape, length, and initiation point have a significant effect on the final deformation of the gear mesh stiffness.</div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641323001623","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

Abstract

Bending fatigue is one of the most common failure modes of gear-based transmissions. Bending fatigue often manifests in the form of cracks at the gear tooth root, which propagates over the time, until a part of the tooth or the whole tooth is removed. Many papers have been published to determine the effect of this failure mode on the gear system dynamics, specifically, the gear mesh stiffness. But the majority of them considered uniform propagation paths and distribution of the crack profile. Moreover, as we know, the effect of the crack initiation point on the mesh stiffness deformation has not been investigated previously.

In this study, a geometric-based method is proposed to investigate the effect of non-uniform crack faults on the gear mesh stiffness. This is realized by uncoupling the crack geometry modeling from the stiffness calculation equations, which will enable us to model any crack geometry without any change in the mathematical expressions of the stiffness components. Furthermore, limiting lines of a specific crack shape and initiation point are customized in this study to better consider the effect of random propagated cracks including reascending cracks on the mesh stiffness variation. Simulation results showed that the crack shape, length, and initiation point have a significant effect on the final deformation of the gear mesh stiffness.

查看原文本刊更多论文

空间裂纹直齿齿轮啮合刚度评估的几何方法

弯曲疲劳是齿轮传动最常见的失效模式之一。弯曲疲劳往往表现在裂纹的形式在齿轮齿根，其传播的时间，直到一部分的牙齿或整个牙齿被移除。已经发表了许多论文来确定这种失效模式对齿轮系统动力学的影响，特别是齿轮啮合刚度。但大多数理论都考虑了裂纹扩展路径和裂纹分布的均匀性。此外，我们知道，裂纹起裂点对网格刚度变形的影响，以前没有研究过。本文提出了一种基于几何的方法来研究非均匀裂纹故障对齿轮啮合刚度的影响。这是通过将裂纹几何建模与刚度计算方程分离来实现的，这将使我们能够在不改变刚度分量的数学表达式的情况下对任何裂纹几何建模。此外，为了更好地考虑随机扩展裂纹(包括裂纹扩展)对网格刚度变化的影响，本研究还定制了特定裂纹形状和起始点的极限线。仿真结果表明，裂纹的形状、长度和起始点对齿轮啮合刚度的最终变形有显著影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.