{"title":"非圆齿轮齿面数据点的通用算法与仿真验证","authors":"Dawei Li, Chuanhong Huang, Yongping Liu, Jun Gong","doi":"10.1007/s40997-024-00761-2","DOIUrl":null,"url":null,"abstract":"<p>This paper presents a method to establish a mathematical model of non-circular gear tooth surface, which can avoid the issues of low accuracy and low efficiency in extracting tooth surface of previous non-circular gear tooth surface design methods. A new tooth envelope method is proposed, where the gear inserting knife rotates only on a fixed axis, while the non-circular gear rotates and translates in the horizontal plane. By utilizing the conjugate theory and coordinate transformation theory, the coordinate system, meshing equation, and tooth surface equation of the non-circular gear are obtained, and the 3D point cloud of the tooth surface is programmed. Finally, the mathematical model of the tooth surface proposed in this paper is used to establish multiple pairs of non-circular gears with different orders, and the correctness and generality of the method are verified by comparing the simulated and experimental transmission ratio with the theoretical transmission ratio in the test.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Generalized Algorithm and Simulation Verification of Non-circular Gear Tooth Surface Data Points\",\"authors\":\"Dawei Li, Chuanhong Huang, Yongping Liu, Jun Gong\",\"doi\":\"10.1007/s40997-024-00761-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper presents a method to establish a mathematical model of non-circular gear tooth surface, which can avoid the issues of low accuracy and low efficiency in extracting tooth surface of previous non-circular gear tooth surface design methods. A new tooth envelope method is proposed, where the gear inserting knife rotates only on a fixed axis, while the non-circular gear rotates and translates in the horizontal plane. By utilizing the conjugate theory and coordinate transformation theory, the coordinate system, meshing equation, and tooth surface equation of the non-circular gear are obtained, and the 3D point cloud of the tooth surface is programmed. Finally, the mathematical model of the tooth surface proposed in this paper is used to establish multiple pairs of non-circular gears with different orders, and the correctness and generality of the method are verified by comparing the simulated and experimental transmission ratio with the theoretical transmission ratio in the test.</p>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s40997-024-00761-2\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s40997-024-00761-2","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
A Generalized Algorithm and Simulation Verification of Non-circular Gear Tooth Surface Data Points
This paper presents a method to establish a mathematical model of non-circular gear tooth surface, which can avoid the issues of low accuracy and low efficiency in extracting tooth surface of previous non-circular gear tooth surface design methods. A new tooth envelope method is proposed, where the gear inserting knife rotates only on a fixed axis, while the non-circular gear rotates and translates in the horizontal plane. By utilizing the conjugate theory and coordinate transformation theory, the coordinate system, meshing equation, and tooth surface equation of the non-circular gear are obtained, and the 3D point cloud of the tooth surface is programmed. Finally, the mathematical model of the tooth surface proposed in this paper is used to establish multiple pairs of non-circular gears with different orders, and the correctness and generality of the method are verified by comparing the simulated and experimental transmission ratio with the theoretical transmission ratio in the test.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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