Doctoral thesis (Dissertations and theses)
New perspectives on probabilistic methods for nonlinear transient dynamics in civil engineering
Canor, Thomas
2014
 

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Keywords :
probabilistic methods; transient dynamics; nonlinear dynamics; Fokker-Planck Equation; equivalent linearization; multiple scales approach; asymptotic expansion method; smoothed particle hydrodynamics
Abstract :
[en] The objective of this thesis is to develop probabilistic methods to perform nonlinear transient analysis in civil engineering applications. The manuscript is divided into two parts. For large-dimensional structures subject to coherent random loads, an asymptotic expansion-based method is used to improve linear evolutionary spectral analysis. Then, this method is extended to equivalent statistical linearization by a multiple timescales approach. The second part of the thesis is focused on small-dimensional systems. It explores the solution of the Fokker-Planck equation with the smoothed particle hydrodynamics method. This meshless Lagrangian method particularly ensures the conservation and the positivity of the probability field. The accuracy and efficiency of both approaches are compared with Monte-Carlo simulations.
Disciplines :
Civil engineering
Author, co-author :
Canor, Thomas ;  Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Language :
English
Title :
New perspectives on probabilistic methods for nonlinear transient dynamics in civil engineering
Defense date :
06 May 2014
Institution :
ULiège - Université de Liège, Liège, Belgium
Degree :
Docteur en sciences de l'ingénieur
Promotor :
Denoël, Vincent  ;  Université de Liège - ULiège > Urban and Environmental Engineering
President :
Kerschen, Gaëtan  ;  Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)
Jury member :
Arnst, Maarten ;  Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)
Dewals, Benjamin  ;  Université de Liège - ULiège > Urban and Environmental Engineering
Caracoglia, Luca
De Roeck, Guido
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
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