Article (Scientific journals)
A multiple timescale approach of bispectral correlation
Denoël, Vincent; Esposito Marzino, Michele; Geuzaine, Margaux
2023In Journal of Wind Engineering and Industrial Aerodynamics, 232, p. 105282
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Keywords :
Background; Resonant; Non Gaussian; MTSA: Multiple Timescale Spectral Analysis; Complete Cubic Combination; Cubic Root of the Sum of the Cubes
Abstract :
The paper develops an approximate semi-analytical solution for the computation of the third statistical cross-moments of modal responses in a stochastic dynamic analysis. These moments would require heavy twofold numerical integration in a general context but are drastically simplified in the proposed formulation by taking advantage of the assumed distinctness between the low characteristic frequency of the loading and the natural frequencies of the structure. This condition is typically respected and acknowledged in wind engineering where the buffeting analysis of large structures hinges on the Background/Resonant decomposition. As such, the proposed formulation extends to third statistical order the existing developments for the estimation of the modal variances and covariances. It allows the third order spectral analysis of large structures to be conducted within a reasonable amount of time. It also reveals the existence of three main components to the response: background, bi-resonant and tri-resonant. The latter one is specific to this very own problem and is shown to be important when the sum of two natural frequencies is equal to a third one, although the structural behavior is linear. Mathematics highlight this and other findings which are then illustrated on a minimum working example, easily reproducible by readers. Overall, it clearly demonstrates the benefits of the proposed decomposition in terms of both behavioral comprehension and computational consumption.
Disciplines :
Civil engineering
Author, co-author :
Denoël, Vincent  ;  Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Esposito Marzino, Michele  ;  Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Geuzaine, Margaux  ;  Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Language :
English
Title :
A multiple timescale approach of bispectral correlation
Publication date :
January 2023
Journal title :
Journal of Wind Engineering and Industrial Aerodynamics
ISSN :
0167-6105
eISSN :
1872-8197
Publisher :
Elsevier, Amsterdam, Netherlands
Volume :
232
Pages :
105282
Peer reviewed :
Peer Reviewed verified by ORBi
Name of the research project :
FINELG2020
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
Région wallonne [BE]
Data Set :
Code

MatLab

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