{"title":"小角度回旋摆动力学","authors":"V. Krishnan","doi":"10.1243/JMES_JOUR_1980_022_049_02","DOIUrl":null,"url":null,"abstract":"It was shown in (1)‡ that at a given angle of inclination, the gyropendulum may perform steady precession Ω1 or Ω2 and any small disturbance will result in the subsequent motion consisting of precession and nutation, the corresponding nutational frequency being Ω1 or Ω2 respectively. For small angles, Ω1 and Ω2 represent the natural frequencies of the system.","PeriodicalId":114598,"journal":{"name":"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)","volume":"2019 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1980-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Dynamics of Gyropendulum for Small Angles\",\"authors\":\"V. Krishnan\",\"doi\":\"10.1243/JMES_JOUR_1980_022_049_02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It was shown in (1)‡ that at a given angle of inclination, the gyropendulum may perform steady precession Ω1 or Ω2 and any small disturbance will result in the subsequent motion consisting of precession and nutation, the corresponding nutational frequency being Ω1 or Ω2 respectively. For small angles, Ω1 and Ω2 represent the natural frequencies of the system.\",\"PeriodicalId\":114598,\"journal\":{\"name\":\"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)\",\"volume\":\"2019 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1980-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1243/JMES_JOUR_1980_022_049_02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1243/JMES_JOUR_1980_022_049_02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
It was shown in (1)‡ that at a given angle of inclination, the gyropendulum may perform steady precession Ω1 or Ω2 and any small disturbance will result in the subsequent motion consisting of precession and nutation, the corresponding nutational frequency being Ω1 or Ω2 respectively. For small angles, Ω1 and Ω2 represent the natural frequencies of the system.