{"title":"Analysis of the dynamic stability of a viscously damped elastic quadratic model structure modulated by a periodic load","authors":"A.M. Ette, W.I. Osuji","doi":"10.1016/j.jnnms.2014.10.007","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we employ perturbation procedures in asymptotic expansions of the various variables to determine the dynamic buckling load of a lightly damped elastic quadratic model structure modulated by a dynamic periodic load. We finally relate the dynamic buckling load to its static equivalent and show that given any one of them, the other can automatically be obtained.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"34 1","pages":"Pages 50-69"},"PeriodicalIF":0.0000,"publicationDate":"2015-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2014.10.007","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0189896514000092","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we employ perturbation procedures in asymptotic expansions of the various variables to determine the dynamic buckling load of a lightly damped elastic quadratic model structure modulated by a dynamic periodic load. We finally relate the dynamic buckling load to its static equivalent and show that given any one of them, the other can automatically be obtained.
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