Zhenzhen Li, Kangning Zhao, Hongkui Li, Juan L. G. Guirao, Huatao Chen
{"title":"Global stability of the Euler- Bernoulli beams excited by multiplicative white noises","authors":"Zhenzhen Li, Kangning Zhao, Hongkui Li, Juan L. G. Guirao, Huatao Chen","doi":"10.17993/3ctecno.2023.v12n1e43.386-412","DOIUrl":null,"url":null,"abstract":"This paper considers the global stability of the Euler-Bernoulli beam excited by multiplicative white noise. Based on the theory of global random attractors, the Hausdorff dimensions of the global random attractors for the system is obtained. According to the relationship between Hausdorff dimensions and global Lyapunov exponents, the global stability of the stochastic beam is derived.","PeriodicalId":210685,"journal":{"name":"3C Tecnología_Glosas de innovación aplicadas a la pyme","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"3C Tecnología_Glosas de innovación aplicadas a la pyme","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17993/3ctecno.2023.v12n1e43.386-412","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
This paper considers the global stability of the Euler-Bernoulli beam excited by multiplicative white noise. Based on the theory of global random attractors, the Hausdorff dimensions of the global random attractors for the system is obtained. According to the relationship between Hausdorff dimensions and global Lyapunov exponents, the global stability of the stochastic beam is derived.
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