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

Jacquelin, E., Dessombz, O., Sinou, J.-J., Adhikari, S. and Friswell, M.I. (2017) Steady-state response of a random dynamical system described with Padé approximants and random eigenmodes. Procedia Engineering, 199, pp. 1104-1109. (doi: 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 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.

• Item Type: Articles
• Additional Information: Conference paper first presented at X International Conference on Structural Dynamics (EURODYN 2017), Rome, Italy, 10-13 Sep 2017.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Adhikari, Professor Sondipon
• Authors: Jacquelin, E., Dessombz, O., Sinou, J.-J., Adhikari, S., and Friswell, M.I.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Procedia Engineering
• Publisher: Elsevier
• ISSN: 1877-7058
• ISSN (Online): 1877-7058
• Published Online: 12 September 2017
• Copyright Holders: Copyright © 2017 The Authors
• First Published: First published in Procedia Engineering 199: 1104-1109
• Publisher Policy: Reproduced under a Creative Commons License