A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator

Published

Journal Article

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. © 2005 Elsevier Inc. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Liu, L; Thomas, JP; Dowell, EH; Attar, P; Hall, KC

Published Date

  • June 10, 2006

Published In

Volume / Issue

  • 215 / 1

Start / End Page

  • 298 - 320

Electronic International Standard Serial Number (EISSN)

  • 1090-2716

International Standard Serial Number (ISSN)

  • 0021-9991

Digital Object Identifier (DOI)

  • 10.1016/j.jcp.2005.10.026

Citation Source

  • Scopus