Abstract
This study investigates the performance of two nonlinear model order reduction techniques, a quadratic manifold and a linear basis augmented with modal derivatives, in predicting the coupling of torsion and bending in a mechanical structure. We demonstrate that the quadratic manifold, which assumes a linear variation of the modal derivatives, overlooks the presence of modal hybridisations. Conversely, the linear basis augmented with modal derivatives successfully captures both the vertical and large angular displacements, even in the presence of modal veerings. We further introduce a simple yet practical selection algorithm for optimising the use of modal derivatives, although this approach reveals limitations in terms of its assumptions and error definition. This investigation highlights the potential of the linear basis method augmented with modal derivatives and prompts further research into improved selection strategies and error definitions, contributing to the advancement of more precise and efficient model order reductions.
Originalsprog | Engelsk |
---|---|
Titel | Advances in Nonlinear Dynamics and Control of Mechanical and Physical Systems : Selected Articles from CSNDD 2023; 15–17 May; Marrakesh, Morocco |
Redaktører | Mohamed Belhaq |
Forlag | Springer Science+Business Media |
Publikationsdato | 2024 |
Sider | 255-267 |
ISBN (Trykt) | 9789819979578 |
ISBN (Elektronisk) | 978-981-99-7958-5 |
DOI | |
Status | Udgivet - 2024 |
Begivenhed | 5th Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2023 - Marrakesh, Marokko Varighed: 15. maj 2023 → 17. maj 2023 |
Konference
Konference | 5th Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2023 |
---|---|
Land/Område | Marokko |
By | Marrakesh |
Periode | 15/05/2023 → 17/05/2023 |
Navn | Springer Proceedings in Physics |
---|---|
Vol/bind | 301 |
ISSN | 0930-8989 |
Bibliografisk note
Publisher Copyright:© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.