{"title":"动量方程","authors":"E. M. Inez","doi":"10.1201/9781315273426-25","DOIUrl":null,"url":null,"abstract":"By using the theory of Lie algebroids, the momentum equation for a nonholonomically constrained mechanical system with symmetry is reinterpreted in terms of parallel transport with respect to a connection. Such connection is canonically asociated to the geometry of the problem.","PeriodicalId":319727,"journal":{"name":"Fluid Mechanics for Civil Engineers","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Momentum Equation\",\"authors\":\"E. M. Inez\",\"doi\":\"10.1201/9781315273426-25\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By using the theory of Lie algebroids, the momentum equation for a nonholonomically constrained mechanical system with symmetry is reinterpreted in terms of parallel transport with respect to a connection. Such connection is canonically asociated to the geometry of the problem.\",\"PeriodicalId\":319727,\"journal\":{\"name\":\"Fluid Mechanics for Civil Engineers\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fluid Mechanics for Civil Engineers\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9781315273426-25\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Mechanics for Civil Engineers","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781315273426-25","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
By using the theory of Lie algebroids, the momentum equation for a nonholonomically constrained mechanical system with symmetry is reinterpreted in terms of parallel transport with respect to a connection. Such connection is canonically asociated to the geometry of the problem.