The effect of nonlinear cross-coupling on reduced-order modelling
The effect of nonlinear cross-coupling on reduced-order modelling
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.
7-17
Tartaruga, Irene
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Elliott, Alexander
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Hill, Thomas L.
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Neild, Simon A.
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Cammarano, Andrea
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3 June 2019
Tartaruga, Irene
164fe41d-7330-4a5a-a08e-b1e47d7f3875
Elliott, Alexander
c57982f7-4bd6-49f9-b4ad-5b133dd0d0ec
Hill, Thomas L.
e118f600-1c73-482a-8630-3fbcb68a96f3
Neild, Simon A.
e11b68bb-ddff-4cac-a8a7-798cc3cc3891
Cammarano, Andrea
c0c85f55-3dfc-4b97-9b79-e2554406a12b
Tartaruga, Irene, Elliott, Alexander, Hill, Thomas L., Neild, Simon A. and Cammarano, Andrea
(2019)
The effect of nonlinear cross-coupling on reduced-order modelling.
International Journal of Non-Linear Mechanics, 116, .
(doi:10.1016/j.ijnonlinmec.2019.05.006).
Abstract
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.
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Accepted/In Press date: 26 May 2019
e-pub ahead of print date: 28 May 2019
Published date: 3 June 2019
Identifiers
Local EPrints ID: 490830
URI: http://eprints.soton.ac.uk/id/eprint/490830
ISSN: 0020-7462
PURE UUID: 59d8ad84-300c-4604-b333-c7f7e191b691
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Date deposited: 06 Jun 2024 17:11
Last modified: 07 Jun 2024 02:08
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Author:
Irene Tartaruga
Author:
Alexander Elliott
Author:
Thomas L. Hill
Author:
Simon A. Neild
Author:
Andrea Cammarano
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