{"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":49063,"journal":{"name":"Iranian Journal of Science and Technology-Transactions of Mechanical Engineering","volume":null,"pages":null},"PeriodicalIF":1.5000,"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\":49063,\"journal\":{\"name\":\"Iranian Journal of Science and Technology-Transactions of Mechanical Engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology-Transactions of Mechanical Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s40997-024-00761-2\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology-Transactions of Mechanical Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s40997-024-00761-2","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, MECHANICAL","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:
Transactions of Mechanical Engineering is to foster the growth of scientific research in all branches of mechanical engineering and its related grounds and to provide a medium by means of which the fruits of these researches may be brought to the attentionof the world’s scientific communities. The journal has the focus on the frontier topics in the theoretical, mathematical, numerical, experimental and scientific developments in mechanical engineering as well
as applications of established techniques to new domains in various mechanical engineering disciplines such as: Solid Mechanics, Kinematics, Dynamics Vibration and Control, Fluids Mechanics, Thermodynamics and Heat Transfer, Energy and Environment, Computational Mechanics, Bio Micro and Nano Mechanics and Design and Materials Engineering & Manufacturing.
The editors will welcome papers from all professors and researchers from universities, research centers,
organizations, companies and industries from all over the world in the hope that this will advance the scientific standards of the journal and provide a channel of communication between Iranian Scholars and their colleague in other parts of the world.