A novel tooth contact analysis method for conical worm drives: An enhanced ease-off topography-based approach with conforming grid and TE-clearance assessment

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2024-11-21 DOI:10.1016/j.mechmachtheory.2024.105837

Kaibin Rong , Jinyuan Tang , Biyun Song , Xuanqi Bu , Xiaoping Zou

{"title":"A novel tooth contact analysis method for conical worm drives: An enhanced ease-off topography-based approach with conforming grid and TE-clearance assessment","authors":"Kaibin Rong , Jinyuan Tang , Biyun Song , Xuanqi Bu , Xiaoping Zou","doi":"10.1016/j.mechmachtheory.2024.105837","DOIUrl":null,"url":null,"abstract":"<div><div>This paper focuses on the ease-off based tooth contact analysis (e-TCA) of conical worm gearing with twisted pinion tooth flanks. Existing methods have two significant drawbacks: 1) The calculation of ease-off values employs non-conforming grids, leading to errors, and 2) the determination of contact path boundaries lacks detailed research, resulting in contact patterns that do not reflect variations in the contact ratio. To address the first issue, a conforming discrete grid partitioning method is proposed, which ensures that corresponding nodes lie in the same tangent direction and uses tangent deviation to express ease-off, thereby eliminating errors. To solve the second issue, the TE-clearance formula is introduced, which reflects changes in the contact path length and boundaries under different preset clearance thresholds (PCT), capturing variations in the contact ratio. Additionally, the method for determining the working area has been optimized, making the e-TCA more reliable and enhancing the overall consistency and integrity of the contact curve calculation method. Finally, numerical examples and rolling tests verify the accuracy and advancement of the proposed algorithm, which is expected to replace rolling inspections and finite element analysis.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"205 ","pages":"Article 105837"},"PeriodicalIF":4.5000,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanism and Machine Theory","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0094114X24002647","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}

引用次数: 0

Abstract

This paper focuses on the ease-off based tooth contact analysis (e-TCA) of conical worm gearing with twisted pinion tooth flanks. Existing methods have two significant drawbacks: 1) The calculation of ease-off values employs non-conforming grids, leading to errors, and 2) the determination of contact path boundaries lacks detailed research, resulting in contact patterns that do not reflect variations in the contact ratio. To address the first issue, a conforming discrete grid partitioning method is proposed, which ensures that corresponding nodes lie in the same tangent direction and uses tangent deviation to express ease-off, thereby eliminating errors. To solve the second issue, the TE-clearance formula is introduced, which reflects changes in the contact path length and boundaries under different preset clearance thresholds (PCT), capturing variations in the contact ratio. Additionally, the method for determining the working area has been optimized, making the e-TCA more reliable and enhancing the overall consistency and integrity of the contact curve calculation method. Finally, numerical examples and rolling tests verify the accuracy and advancement of the proposed algorithm, which is expected to replace rolling inspections and finite element analysis.

查看原文本刊更多论文

锥形蜗杆传动装置的新型齿接触分析方法：基于地形图的增强型易切削方法与保形网格和 TE 净度评估

本文的重点是对具有扭曲小齿轮齿面的锥形蜗杆传动装置进行基于易损性的齿面接触分析（e-TCA）。现有方法有两个重大缺陷：1) 计算易损值时使用的网格不符合要求，导致误差；2) 确定接触路径边界时缺乏详细研究，导致接触模式无法反映接触比的变化。为解决第一个问题，提出了一种符合离散网格划分方法，该方法可确保相应节点位于同一切线方向，并使用切线偏差来表示易失度，从而消除误差。为解决第二个问题，引入了 TE 净空公式，该公式反映了不同预设净空阈值 (PCT) 下接触路径长度和边界的变化，捕捉了接触比的变化。此外，还优化了确定工作区域的方法，使 e-TCA 更加可靠，并增强了接触曲线计算方法的整体一致性和完整性。最后，数值示例和滚动测试验证了所提算法的准确性和先进性，该算法有望取代滚动检查和有限元分析。

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

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