The effect of nonlinear cross-coupling on reduced-order modelling

Tartaruga, I., Elliott, A., Hill, T. L., Neild, S. A. and Cammarano, A. (2019) The effect of nonlinear cross-coupling on reduced-order modelling. International Journal of Non-Linear Mechanics, 116, pp. 7-17. (doi: 10.1016/j.ijnonlinmec.2019.05.006)

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The use of reduced-order models (ROMs) for nonlinear systems has received significant attention due to their potential to greatly reduce computational cost, compared to full nonlinear finite-element models. Here, we consider and compare two indirect methods; the applied modal force and enforced modal displacement techniques, paying particular attention to the effect of nonlinear cross-coupling terms. The analysis we present shows that the applied modal force technique is able to account for some effects arising from modes that are not retained in the ROMs, but the resulting accuracy of the ROM depends on the amplitudes selected for the set of forces used to estimate the coefficients of the ROMs. This analysis also shows that the enforced modal displacement technique does not compensate for the effect of modal interactions with modes that are not included in the ROM, but its accuracy is independent of the amplitude of the forces used to estimate the coefficients. The mechanisms that lead to the differences between these techniques is firstly demonstrated using a two conceptually-simple, discrete systems, before a nonlinear beam model is considered.

Item Type:Articles
Additional Information:I. Tartaruga and S.A. Neild gratefully acknowledge support from the EPSRC, United Kingdom via the fellowship EP/K005375/1 and EPSRC, United Kingdom programme grant EP/R006768/1.
Glasgow Author(s) Enlighten ID:Cammarano, Dr Andrea and Elliott, Mr Alexander
Authors: Tartaruga, I., Elliott, A., Hill, T. L., Neild, S. A., and Cammarano, A.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:International Journal of Non-Linear Mechanics
ISSN (Online):1878-5638
Published Online:28 May 2019
Copyright Holders:Copyright © 2019 The Authors
First Published:First published in International Journal of Non-Linear Mechanics 116: 7-17
Publisher Policy:Reproduced under a Creative Commons License

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