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Steady-state response of a random dynamical system described with Padé approximants and random eigenmodes

E. Jacquelin, O. Dessombz, J.-J Sinou, S. Adhikari, M.I. Friswell, Michael Friswell, Sondipon Adhikari

Procedia Engineering, Volume: 199, Pages: 1104 - 1109

Swansea University Authors: Michael Friswell, Sondipon Adhikari

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DOI (Published version): 10.1016/j.proeng.2017.09.212

Abstract

Designing a random dynamical system requires the prediction of the statistics of the response, knowing the random model of the uncertain parameters. Direct Monte Carlo simulation (MCS) is the reference method for propagating uncertainties but its main drawback is the high numerical cost. A surrogate...

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Published in: Procedia Engineering
ISSN: 1877-7058
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa35312
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Abstract: Designing a random dynamical system requires the prediction of the statistics of the response, knowing the random model of the uncertain parameters. Direct Monte Carlo simulation (MCS) is the reference method for propagating uncertainties but its main drawback is the high numerical cost. A surrogate model based on a polynomial chaos expansion (PCE) can be built as an alternative to MCS. However, some previous studies have shown poor convergence properties around the deterministic eigenfrequencies. In this study, an extended Pade approximant approach is proposed not only to accelerate the convergence of the PCE but also to have a better representation of the exact frequency response, which is a rational function of the uncertain parameters. A second approach is based on the random mode expansion of the response, which is widely used for deterministic dynamical systems. A PCE approach is used to calculate the random modes. Both approaches are tested on an example to check their efficiency.
Keywords: Random dynamical systems; polynomial chaos expansion; multivariate Pade approximants; random modes
College: Faculty of Science and Engineering
Start Page: 1104
End Page: 1109

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