Zhen Chen , Haijun Zhang , Xiaoping Xiao , Chao He , Kai Zhu , Yangzhi Chen , Alfonso Fuentes-Aznar
{"title":"非对称纯滚动齿轮的计算机设计与预设计方法的期望功能的空载传动误差","authors":"Zhen Chen , Haijun Zhang , Xiaoping Xiao , Chao He , Kai Zhu , Yangzhi Chen , Alfonso Fuentes-Aznar","doi":"10.1016/j.mechmachtheory.2025.106072","DOIUrl":null,"url":null,"abstract":"<div><div>A computerized design method for asymmetric pure rolling gears and a novel approach for actively design the unloaded function of transmission errors using the internal rotation of the transverse tooth profiles are proposed. Parameterized equations for the tooth surfaces of asymmetric pure rolling cylindrical gears are developed. A comparative analysis of various design combinations of normal pressure angles and helix angles is conducted, focusing on contact patterns, transmission errors, and maximum contact and bending stresses. The optimal design combination is identified and compared to symmetric pure rolling gears with varying normal pressure angles, demonstrating superior meshing characteristics and mechanical performance. Additionally, the proposed method, based on the internal rotation of the transverse tooth profiles, enables the achievement of a parabolic curve for the unloaded function of transmission errors. The effectiveness of the asymmetric pure rolling gear design is validated through an experimental kinematic test of the prototype.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106072"},"PeriodicalIF":4.5000,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computerized design of asymmetric pure rolling gears with a method for predesigning the desired function of unloaded transmission errors\",\"authors\":\"Zhen Chen , Haijun Zhang , Xiaoping Xiao , Chao He , Kai Zhu , Yangzhi Chen , Alfonso Fuentes-Aznar\",\"doi\":\"10.1016/j.mechmachtheory.2025.106072\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A computerized design method for asymmetric pure rolling gears and a novel approach for actively design the unloaded function of transmission errors using the internal rotation of the transverse tooth profiles are proposed. Parameterized equations for the tooth surfaces of asymmetric pure rolling cylindrical gears are developed. A comparative analysis of various design combinations of normal pressure angles and helix angles is conducted, focusing on contact patterns, transmission errors, and maximum contact and bending stresses. The optimal design combination is identified and compared to symmetric pure rolling gears with varying normal pressure angles, demonstrating superior meshing characteristics and mechanical performance. Additionally, the proposed method, based on the internal rotation of the transverse tooth profiles, enables the achievement of a parabolic curve for the unloaded function of transmission errors. The effectiveness of the asymmetric pure rolling gear design is validated through an experimental kinematic test of the prototype.</div></div>\",\"PeriodicalId\":49845,\"journal\":{\"name\":\"Mechanism and Machine Theory\",\"volume\":\"213 \",\"pages\":\"Article 106072\"},\"PeriodicalIF\":4.5000,\"publicationDate\":\"2025-05-25\",\"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/S0094114X25001612\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanism and Machine Theory","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0094114X25001612","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}
Computerized design of asymmetric pure rolling gears with a method for predesigning the desired function of unloaded transmission errors
A computerized design method for asymmetric pure rolling gears and a novel approach for actively design the unloaded function of transmission errors using the internal rotation of the transverse tooth profiles are proposed. Parameterized equations for the tooth surfaces of asymmetric pure rolling cylindrical gears are developed. A comparative analysis of various design combinations of normal pressure angles and helix angles is conducted, focusing on contact patterns, transmission errors, and maximum contact and bending stresses. The optimal design combination is identified and compared to symmetric pure rolling gears with varying normal pressure angles, demonstrating superior meshing characteristics and mechanical performance. Additionally, the proposed method, based on the internal rotation of the transverse tooth profiles, enables the achievement of a parabolic curve for the unloaded function of transmission errors. The effectiveness of the asymmetric pure rolling gear design is validated through an experimental kinematic test of the prototype.
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