{"title":"Dynamic modeling and response analysis of cracked herringbone gear transmission systems with installation errors","authors":"Wenkang Huang , Haodong Hu , Hui Ma","doi":"10.1016/j.mechmachtheory.2025.105924","DOIUrl":null,"url":null,"abstract":"<div><div>Installation errors and cracks in the herringbone gear transmission system (HGTS) can alter its dynamic response, decreasing transmission performance and compromising operational safety. Traditional methods to determine the time-varying meshing stiffness (TVMS) of herringbone gears often neglect the impact of the groove, treating the herringbone gear as two helical gears in dynamic models. To address these deficiencies, a new stiffness calculation formula for the herringbone gear pair is proposed, incorporating the combined effects of installation errors and cracks. The TVMS distribution of multiple springs in the dynamic model is determined based on the load distribution during meshing. On this basis, a dynamic model of the cracked HGTS considering installation errors is constructed. The effects of crack faults and installation errors on the dynamic response of the HGTS are investigated. It is found that installation errors aggravate the effect of crack faults on the dynamics of the HGTS.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"206 ","pages":"Article 105924"},"PeriodicalIF":4.5000,"publicationDate":"2025-01-15","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/S0094114X25000138","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
Installation errors and cracks in the herringbone gear transmission system (HGTS) can alter its dynamic response, decreasing transmission performance and compromising operational safety. Traditional methods to determine the time-varying meshing stiffness (TVMS) of herringbone gears often neglect the impact of the groove, treating the herringbone gear as two helical gears in dynamic models. To address these deficiencies, a new stiffness calculation formula for the herringbone gear pair is proposed, incorporating the combined effects of installation errors and cracks. The TVMS distribution of multiple springs in the dynamic model is determined based on the load distribution during meshing. On this basis, a dynamic model of the cracked HGTS considering installation errors is constructed. The effects of crack faults and installation errors on the dynamic response of the HGTS are investigated. It is found that installation errors aggravate the effect of crack faults on the dynamics of the HGTS.
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