Since 1963
ARTICLE
Error measures and solution artifacts of the harmonic balance method on the example of the softening Duffing oscillator
1
Technische Universität Berlin, Institut für Mechanik, Berlin, Germany
2
Hochschule Trier, Institut für Betriebs- und Technologiemanagement, Trier, Germany
Submission date: 2024-02-14
Acceptance date: 2024-02-29
Online publication date: 2024-04-28
Publication date: 2024-04-30
Journal of Theoretical and Applied Mechanics 2024;62(2):435-455
KEYWORDS
TOPICS
ABSTRACT
The Harmonic BalanceMethod (HBM) is one of the most often applied semi-analytic approximation
methods in nonlinear dynamics. In earlier publications, the two coauthors already
observed for the softening Duffing oscillator and other systems that especially low ansatz
order HBM solutions may contain larger errors for some solution branches, and called this
artifacts. In the present work, this problem is studied systematically with a new implementation
of the method and applied again to the example of the softening Duffing oscillator.
In conjunction with a mathematical definition for HBM artifacts we discuss and present
possible a posteriori and a priori HBM error measures.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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