Non-Gaussian buffeting analysis of large structures by means of a Proper Orthogonal Decomposition

Bispectral analysis; Complete cubic combination; Cubic root of the sum of the cubes; Bi-spectral analysis; Buffeting analysis; Cubic root of the sum of the cube; Large structures; Non-Gaussian; Orthogonal decomposition; Proper Orthogonal; Statistical moments; Stochastic analysis; Civil and Structural Engineering; Renewable Energy, Sustainability and the Environment; Mechanical Engineering

Abstract :

[en] Proper Orthogonal Decomposition is implemented in a Bispectral Stochastic Analysis of large MDOF structures. Although Higher Order Stochastic Analysis has been introduced few decades ago, its establishment has found place only in a theoretical way, or applied to very small systems. Its heavy computational cost as well as resource consumption burden has let it aside for practical civil engineering applications. Nevertheless, in wind engineering, the community is increasingly considering the importance of non-Gaussian nature of wind induced vibrations. This is of interest for the extreme value analysis, for which many theoretical and empirical models exist for non-Gaussian random processes. In this context, a (bi-)spectral approach is realized in a 2-D frequency space where the bispectrum is computed then the 3rd statistical moment is obtained by means of a twofold integration. These operations are quite heavy as soon as the dimension of the problem increases. A novel algorithm implementation is proposed. It hinges on (i) the use of Proper Orthogonal Decomposition and the (ii) development of an optimized numerical method. The proposed algorithmic arrangement minimizes the number of operations, and consequently saves time and memory, while conserving precision in estimating 3rd order statistical moments of structural responses.

Disciplines :

Civil engineering

Author, co-author :

Esposito Marzino, Michele ; Université de Liège - ULiège > Urban and Environmental Engineering

Denoël, Vincent ; Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil

Language :

English

Title :

Non-Gaussian buffeting analysis of large structures by means of a Proper Orthogonal Decomposition

Publication date :

November 2023

Journal title :

Journal of Wind Engineering and Industrial Aerodynamics

ISSN :

0167-6105

eISSN :

1872-8197

Publisher :

Elsevier B.V.

Volume :

242

Pages :

105576

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0167610523002799?httpAccept=text/xml

Funders :

Waalse Gewest [BE]
SPW - Service Public de Wallonie [BE]

Funding text :

Part of this research project has been supported thanks to a research project funded by the Walloon Region (Convention Nb. 8096 , FINELG2020 ).

Available on ORBi :

since 15 March 2024

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