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Perturbation analysis of a Multi-Degree-Of-Freedom system equipped with only one tuned mass damper
Mayou, Anass; Denoël, Vincent
2019In Proceedings of DSTA 2020 15th Conference
Peer reviewed
 

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Keywords :
Tuned Mass Damper; Multiple Scale; Den Hartog; Damping; Coupling; Crowd
Abstract :
[en] This paper develops a simple mathematical model for the analysis of a 2-dof modal model equipped with a tuned mass damper. The nal aim of this formulation is to develop a simple design procedure to assess the in uence and possibility of using a single tuned mass damper to mitigate the vibrations in two structural modes having close natural frequencies and mode shapes. The method is based on the coupled analysis of modal responses under stochastic loading. Random processes are employed to represent the loading and the acceleration in the structural mode shapes. After a proper rescaling o ering an appropriate distinguished limit, a perturbation method of the eigenvalue problem is developed and the variances of these responses are expressed at rst order by accurate and simple analytical expressions.
Disciplines :
Civil engineering
Author, co-author :
Mayou, Anass ;  Université de Liège - ULiège > Département ArGEnCo > Département ArGEnCo
Denoël, Vincent  ;  Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Language :
English
Title :
Perturbation analysis of a Multi-Degree-Of-Freedom system equipped with only one tuned mass damper
Publication date :
2019
Event name :
Dynamical Systems : Theory and Applications
Event place :
Lodz, Poland
Event date :
du 02 décembre 2019 au 05 décembre 2019
Audience :
International
Main work title :
Proceedings of DSTA 2020 15th Conference
Pages :
12
Peer reviewed :
Peer reviewed
Available on ORBi :
since 13 December 2019

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