Skip to main content

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

Publication ,  Journal Article
Liu, L; Thomas, JP; Dowell, EH; Attar, P; Hall, KC
Published in: J. Comput. Phys. (USA)
2006

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. [All rights reserved Elsevier]

Duke Scholars

Published In

J. Comput. Phys. (USA)

DOI

Publication Date

2006

Volume

215

Issue

1

Start / End Page

298 / 320

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Liu, L., Thomas, J. P., Dowell, E. H., Attar, P., & Hall, K. C. (2006). A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator. J. Comput. Phys. (USA), 215(1), 298–320. https://doi.org/10.1016/j.jcp.2005.10.026
Liu, L., J. P. Thomas, E. H. Dowell, P. Attar, and K. C. Hall. “A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator.” J. Comput. Phys. (USA) 215, no. 1 (2006): 298–320. https://doi.org/10.1016/j.jcp.2005.10.026.
Liu L, Thomas JP, Dowell EH, Attar P, Hall KC. A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator. J Comput Phys (USA). 2006;215(1):298–320.
Liu, L., et al. “A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator.” J. Comput. Phys. (USA), vol. 215, no. 1, 2006, pp. 298–320. Manual, doi:10.1016/j.jcp.2005.10.026.
Liu L, Thomas JP, Dowell EH, Attar P, Hall KC. A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator. J Comput Phys (USA). 2006;215(1):298–320.

Published In

J. Comput. Phys. (USA)

DOI

Publication Date

2006

Volume

215

Issue

1

Start / End Page

298 / 320

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences