{"title":"工艺过程代数","authors":"A. V. Shchekin","doi":"10.17587/IT.27.283-290","DOIUrl":null,"url":null,"abstract":"A formal apparatus for modeling the structure of the technological process of mechanical processing based on the algebra of design and technological elements is presented. Design and technological element (manufacturing feature) is considered as a set of geometric processing area and the tool trajectory applied to it, set by a set of technological parameters. Algebra includes an addition operation (adding an element to the process structure) and a multiplication operation (merging elements). The set of processing elements forms an associative and generally noncommutative algebraic group. The possibility of using algebra for analysis and synthesis of technological process structures is shown","PeriodicalId":43953,"journal":{"name":"IT-Information Technology","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2021-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Algebra of Technological Process\",\"authors\":\"A. V. Shchekin\",\"doi\":\"10.17587/IT.27.283-290\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A formal apparatus for modeling the structure of the technological process of mechanical processing based on the algebra of design and technological elements is presented. Design and technological element (manufacturing feature) is considered as a set of geometric processing area and the tool trajectory applied to it, set by a set of technological parameters. Algebra includes an addition operation (adding an element to the process structure) and a multiplication operation (merging elements). The set of processing elements forms an associative and generally noncommutative algebraic group. The possibility of using algebra for analysis and synthesis of technological process structures is shown\",\"PeriodicalId\":43953,\"journal\":{\"name\":\"IT-Information Technology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2021-06-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IT-Information Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17587/IT.27.283-290\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IT-Information Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17587/IT.27.283-290","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
A formal apparatus for modeling the structure of the technological process of mechanical processing based on the algebra of design and technological elements is presented. Design and technological element (manufacturing feature) is considered as a set of geometric processing area and the tool trajectory applied to it, set by a set of technological parameters. Algebra includes an addition operation (adding an element to the process structure) and a multiplication operation (merging elements). The set of processing elements forms an associative and generally noncommutative algebraic group. The possibility of using algebra for analysis and synthesis of technological process structures is shown