A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator
The present study focuses on a novel harmonic balance formulation, which is much easier to implement than the standard/classical harmonic balance method for complex nonlinear mathematical models and algorithms. Both harmonic balance approaches are applied to Duffing’s oscillator to demonstrate the a...
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Published in | Journal of computational physics Vol. 215; no. 1; pp. 298 - 320 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier Inc
10.06.2006
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | The present study focuses on a novel harmonic balance formulation, which is much easier to implement than the standard/classical harmonic balance method for complex nonlinear mathematical models and algorithms. Both harmonic balance approaches are applied to Duffing’s oscillator to demonstrate the advantages and disadvantages of the two approaches. A fundamental understanding of the difference between these two methods is achieved, and the properties of each method are analyzed in detail. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0021-9991 1090-2716 |
DOI: | 10.1016/j.jcp.2005.10.026 |