This paper is concerned with the solution to structural dynamics equations. The technique here presented is closely related to Harmonic Analysis, and therefore it is only concerned with the long-term forced response. Proper Generalized Decomposition (PGD) is used to compute space-frequency separated representations by considering the frequency as an extra coordinate. This formulation constitutes an alternative to classical methods such as Modal Analysis and it is especially advantageous when parametrized structural dynamics equations are of interest. In such case, there is no need to solve the parametrized eigenvalue problem and the space-time solution can be recovered with a Fourier inverse transform. The PGD solution is valid for any forcing term that can be written as a combination of the considered frequencies. Finally, the solution is available for any value of the parameter. When the problem involves frequency-dependent parameters the proposed technique provides a specially suitable method that becomes computationally more efficient when it is combined with a modal representation.
Accepté le :
Publié le :
Muhammad Haris Malik 1 ; Domenico Borzacchiello 2 ; Jose Vicente Aguado 2 ; Francisco Chinesta 3
@article{CRMECA_2018__346_7_590_0,
author = {Muhammad Haris Malik and Domenico Borzacchiello and Jose Vicente Aguado and Francisco Chinesta},
title = {Advanced parametric space-frequency separated representations in structural dynamics: {A} harmonic{\textendash}modal hybrid approach},
journal = {Comptes Rendus. M\'ecanique},
pages = {590--602},
publisher = {Elsevier},
volume = {346},
number = {7},
year = {2018},
doi = {10.1016/j.crme.2018.04.005},
language = {en},
}
TY - JOUR AU - Muhammad Haris Malik AU - Domenico Borzacchiello AU - Jose Vicente Aguado AU - Francisco Chinesta TI - Advanced parametric space-frequency separated representations in structural dynamics: A harmonic–modal hybrid approach JO - Comptes Rendus. Mécanique PY - 2018 SP - 590 EP - 602 VL - 346 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2018.04.005 LA - en ID - CRMECA_2018__346_7_590_0 ER -
%0 Journal Article %A Muhammad Haris Malik %A Domenico Borzacchiello %A Jose Vicente Aguado %A Francisco Chinesta %T Advanced parametric space-frequency separated representations in structural dynamics: A harmonic–modal hybrid approach %J Comptes Rendus. Mécanique %D 2018 %P 590-602 %V 346 %N 7 %I Elsevier %R 10.1016/j.crme.2018.04.005 %G en %F CRMECA_2018__346_7_590_0
Muhammad Haris Malik; Domenico Borzacchiello; Jose Vicente Aguado; Francisco Chinesta. Advanced parametric space-frequency separated representations in structural dynamics: A harmonic–modal hybrid approach. Comptes Rendus. Mécanique, Model reduction, data-based and advanced discretization in computational mechanics / Réduction de modèles, données et techniques de discrétisation avancées en mécanique numérique, Volume 346 (2018) no. 7, pp. 590-602. doi : 10.1016/j.crme.2018.04.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.04.005/
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