{"title":"Parametric Instability of Tapered Beams by Finite Element Method","authors":"P. K. Datta, S. Chakraborty","doi":"10.1243/JMES_JOUR_1982_024_038_02","DOIUrl":null,"url":null,"abstract":"The dynamic stability behaviour of a tapered beam has been studied using a finite element analysis. The instability zones of the parametric stability diagram have been discussed for the entire ranges of static and dynamic load factors. It has been observed that at high values of static load and beyond a particular value of the dynamic load factor, the periodic solution of the Mathieu equation does not exist in the principal region. This leads to unstable behaviour due to large displacement of the beam due to increasing values of static and dynamic load factors.","PeriodicalId":114598,"journal":{"name":"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)","volume":"205 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1982-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","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_1982_024_038_02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
The dynamic stability behaviour of a tapered beam has been studied using a finite element analysis. The instability zones of the parametric stability diagram have been discussed for the entire ranges of static and dynamic load factors. It has been observed that at high values of static load and beyond a particular value of the dynamic load factor, the periodic solution of the Mathieu equation does not exist in the principal region. This leads to unstable behaviour due to large displacement of the beam due to increasing values of static and dynamic load factors.
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