A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator
Journal Article (Academic 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. [All rights reserved Elsevier]
Full Text
Duke Authors
Cited Authors
- Liu, L; Thomas, JP; Dowell, EH; Attar, P; Hall, KC
Published Date
- 2006
Published In
- J. Comput. Phys. (Usa)
Volume / Issue
- 215 / 1
Start / End Page
- 298 - 320
Digital Object Identifier (DOI)
- 10.1016/j.jcp.2005.10.026