Hill, T.L., Neild, S.A. and Wagg, D.J. orcid.org/0000-0002-7266-2105 (2017) Comparing the direct normal form method with harmonic balance and the method of multiple scales. In: Procedia Engineering. X International Conference on Structural Dynamics, EURODYN 2017, 10 to 13 September 2017, Faculty of Civil and Industrial Engineering of Sapienza, University of Rome, Italy. Elsevier , pp. 869-874.
Abstract
Approximate analytical methods have been used extensively for finding approximate solutions to nonlinear ordinary differential equations. In this paper we compare the recently developed direct normal form transformation with two other very well known and long standing methods, harmonic balance and the method of multiple scales. We will show that the direct normal form method combines some of the key advantages of harmonic balance and multiple scales whilst reducing some of the limitations.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 The Authors. Published by Elsevier Ltd. Peer-review under responsibility of the organizing committee of EURODYN 2017. Available under a Creative Commons license (https://creativecommons.org/licenses/by-nc-nd/4.0/). |
Keywords: | nonlinear; vibration; normal form; harmonic balance; multiple scales |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Mechanical Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 23 Oct 2017 10:40 |
Last Modified: | 23 Oct 2017 10:40 |
Published Version: | https://doi.org/10.1016/j.proeng.2017.09.209 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.proeng.2017.09.209 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:122911 |