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A hybrid frequency-temporal reduced-order method for nonlinear dynamics

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Abstract

Solving dynamics problem in the frequency domain gives significant advantages compared with solutions fully computed in the temporal domain, but history-dependent nonlinear behaviour is an obstacle to employ that strategy. A hybrid approach is proposed to solve the nonlinear behaviour in the temporal domain, while the mechanical equilibrium is solved using a frequency strategy coupled with model-order reduction methods. In order to employ the fast Fourier transform (FFT) robustly for the transient regime, artificial numerical damping is used. The reduced-order hybrid temporal-frequency approach is investigated for two- and three-dimensional applications; it appears as a robust and proficient technique to simulate structures under transient dynamic loadings until failure.

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Data availability

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

The SEISM Institute is acknowledged for funding this research activity. This work was performed using HPC resources from the “Mésocentre” computing center of CentraleSupélec and école normale supérieure Paris-Saclay supported by CNRS and Région Île-de-France. http://mesocentre.centralesupelec.fr/

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Authors and Affiliations

  1. CentraleSupélec, ENS Paris-Saclay, CNRS, LMPS - Laboratoire de Mécanique Paris-Saclay, Université Paris-Saclay, 91190, Gif-sur-Yvette, France

    A. Daby-Seesaram, A. Fau & D. Néron

  2. DES - Service d’Études Mécaniques et Thermiques (SEMT), CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France

    A. Daby-Seesaram & P.-É. Charbonnel

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  1. A. Daby-Seesaram
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Correspondence to A. Daby-Seesaram.

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Daby-Seesaram, A., Fau, A., Charbonnel, PÉ. et al. A hybrid frequency-temporal reduced-order method for nonlinear dynamics. Nonlinear Dyn 111, 13669–13689 (2023). https://doi.org/10.1007/s11071-023-08513-8

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