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2024 | OriginalPaper | Chapter

A Tutorial on Nonlinear Model Order Reduction

Author : A. Vizzaccaro

Published in: Nonlinear Structures & Systems, Vol. 1

Publisher: Springer Nature Switzerland

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Abstract

This tutorial introduces nonlinear methods for model order reduction of structures discretised with finite elements, with a particular emphasis on the case of geometric nonlinear structures. The aim of model order reduction (MOR) is to reduce the dimensionality of a large system of nonlinear ordinary differential equations by performing a change of coordinates from the original ones to new reduced ones. The two main ingredients of each (MOR) method are (i) the change of coordinates and (ii) the reduced dynamics in the new coordinate system. Specifically, nonlinear methods differ from linear-based techniques, as they rely on a nonlinear change of coordinates rather than the addition of new vectors to enlarge the linear projection basis.

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previous chapter A Harmonic Balance-Based Tracking Procedure for Amplitude Resonances
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Metadata
Title
A Tutorial on Nonlinear Model Order Reduction
Author
A. Vizzaccaro
Copyright Year
2024
Book
Nonlinear Structures & Systems, Vol. 1

Print ISBN: 978-3-031-69408-0

Electronic ISBN: 978-3-031-69409-7

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-69409-7_8