{"title":"研究嵌入弹性介质的碳纳米管动态稳定性的互联管道模型","authors":"D. Lolov, S. Lilkova-Markova","doi":"10.2478/scjme-2023-0024","DOIUrl":null,"url":null,"abstract":"Abstract The dynamic stability of an interconnected single-walled carbon nanotube is investigated on the basis of the Euler-beam model and with the employment of the spectral Galerkin method. The tubes under investigation are assumed hinged at its both ends and are embedded in an elastic medium. In order to investigate the effect of the surrounding elastic medium on the dynamic stability of the pipe the Pasternak elastic medium is introduced. The critical velocity is calculated for different stiffness of the elastic medium and different density of the conveyed fluid.","PeriodicalId":445896,"journal":{"name":"Strojnícky časopis - Journal of Mechanical Engineering","volume":"5 1","pages":"93 - 98"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Model of Interconnected Pipes in the Investigation of Dynamic Stability of Carbon Nanotubes Embedded in an Elastic Medium\",\"authors\":\"D. Lolov, S. Lilkova-Markova\",\"doi\":\"10.2478/scjme-2023-0024\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The dynamic stability of an interconnected single-walled carbon nanotube is investigated on the basis of the Euler-beam model and with the employment of the spectral Galerkin method. The tubes under investigation are assumed hinged at its both ends and are embedded in an elastic medium. In order to investigate the effect of the surrounding elastic medium on the dynamic stability of the pipe the Pasternak elastic medium is introduced. The critical velocity is calculated for different stiffness of the elastic medium and different density of the conveyed fluid.\",\"PeriodicalId\":445896,\"journal\":{\"name\":\"Strojnícky časopis - Journal of Mechanical Engineering\",\"volume\":\"5 1\",\"pages\":\"93 - 98\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Strojnícky časopis - Journal of Mechanical Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/scjme-2023-0024\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Strojnícky časopis - Journal of Mechanical Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/scjme-2023-0024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Model of Interconnected Pipes in the Investigation of Dynamic Stability of Carbon Nanotubes Embedded in an Elastic Medium
Abstract The dynamic stability of an interconnected single-walled carbon nanotube is investigated on the basis of the Euler-beam model and with the employment of the spectral Galerkin method. The tubes under investigation are assumed hinged at its both ends and are embedded in an elastic medium. In order to investigate the effect of the surrounding elastic medium on the dynamic stability of the pipe the Pasternak elastic medium is introduced. The critical velocity is calculated for different stiffness of the elastic medium and different density of the conveyed fluid.