{"title":"圆弧齿迹圆柱齿轮加工中的铣床误差建模与分析","authors":"Yang Wu, Li Hou, Dengqiu Ma, W. Yongqiao, Lan Luo","doi":"10.21278/tof.444009419","DOIUrl":null,"url":null,"abstract":"GEARS Summary This paper is to study errors of a milling machine used for the machining of Circular-Arc-Tooth-Trace (CATT) cylindrical gears. A topological structure model of the milling machine is established using the lower numbered body array approach. Coordinate transformation matrices between adjacent parts of the milling machine are set up by the D-H homogeneous transformation matrix. Based on the topological structure model and transformation matrices, a comprehensive error model of a milling machine used for the machining of CATT gears is established. According to the error model, the angle errors of the milling point are linear combinations of the angle errors of moving parts, while the displacement errors of the milling point are related to displacement errors, the angle errors of moving parts, the adjustment parameters of machine tools, and the geometric parameters of the gear. Finally, the influence of the errors of the cutter head on the milling point errors in the machining of CATT gears are discussed. The research can provide a theoretical basis for the error analysis, precision design, and the geometric error compensation of a milling machine used for CATT gear","PeriodicalId":49428,"journal":{"name":"Transactions of FAMENA","volume":" ","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2021-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Milling Machine Error Modelling and Analysis in the Machining of Circular-Arc-Tooth-Trace Cylindrical Gears\",\"authors\":\"Yang Wu, Li Hou, Dengqiu Ma, W. Yongqiao, Lan Luo\",\"doi\":\"10.21278/tof.444009419\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"GEARS Summary This paper is to study errors of a milling machine used for the machining of Circular-Arc-Tooth-Trace (CATT) cylindrical gears. A topological structure model of the milling machine is established using the lower numbered body array approach. Coordinate transformation matrices between adjacent parts of the milling machine are set up by the D-H homogeneous transformation matrix. Based on the topological structure model and transformation matrices, a comprehensive error model of a milling machine used for the machining of CATT gears is established. According to the error model, the angle errors of the milling point are linear combinations of the angle errors of moving parts, while the displacement errors of the milling point are related to displacement errors, the angle errors of moving parts, the adjustment parameters of machine tools, and the geometric parameters of the gear. Finally, the influence of the errors of the cutter head on the milling point errors in the machining of CATT gears are discussed. The research can provide a theoretical basis for the error analysis, precision design, and the geometric error compensation of a milling machine used for CATT gear\",\"PeriodicalId\":49428,\"journal\":{\"name\":\"Transactions of FAMENA\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2021-01-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of FAMENA\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.21278/tof.444009419\",\"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":"Transactions of FAMENA","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.21278/tof.444009419","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}
Milling Machine Error Modelling and Analysis in the Machining of Circular-Arc-Tooth-Trace Cylindrical Gears
GEARS Summary This paper is to study errors of a milling machine used for the machining of Circular-Arc-Tooth-Trace (CATT) cylindrical gears. A topological structure model of the milling machine is established using the lower numbered body array approach. Coordinate transformation matrices between adjacent parts of the milling machine are set up by the D-H homogeneous transformation matrix. Based on the topological structure model and transformation matrices, a comprehensive error model of a milling machine used for the machining of CATT gears is established. According to the error model, the angle errors of the milling point are linear combinations of the angle errors of moving parts, while the displacement errors of the milling point are related to displacement errors, the angle errors of moving parts, the adjustment parameters of machine tools, and the geometric parameters of the gear. Finally, the influence of the errors of the cutter head on the milling point errors in the machining of CATT gears are discussed. The research can provide a theoretical basis for the error analysis, precision design, and the geometric error compensation of a milling machine used for CATT gear