Comparing the direct normal form method with harmonic balance and the method of multiple scales

T.L. Hill, S.A. Neild, D.J. Wagg

Research output: Contribution to journalArticle (Academic Journal)peer-review

7 Citations (Scopus)
329 Downloads (Pure)

Abstract

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.
Original languageEnglish
Pages (from-to)869-874
Number of pages6
JournalProcedia Engineering
Volume199
Early online date12 Sep 2017
DOIs
Publication statusPublished - 2017
EventX International Conference on Structural Dynamics, EURODYN 2017 - Rome, Italy
Duration: 10 Sep 201713 Sep 2017
Conference number: 10
https://www.eurodyn2017.it/

Bibliographical note

Type: Conference proceeding

Keywords

  • nonlinear
  • vibration
  • normal form
  • harmonic balance
  • multiple scales

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