A novel harmonic balance analysis for the Van Der Pol oscillator
Publication
, Journal Article
Liu, LP; Dowell, EH; Hall, KC
Published in: International Journal Of Non-linear Mechanics
January 2007
This study focuses on a novel harmonic balance formulation, the high-dimensional harmonic balance method. To investigate a non-linearity in the damping term, the system chosen for study is the Van der Pol's oscillator. Both unforced and forced oscillators are analyzed. The results from the analysis are compared with those obtained from the classical harmonic balance and the time marching (Runge-Kutta) methods. (C) 2007 Elsevier Ltd. All rights reserved.
Duke Scholars
Published In
International Journal Of Non-linear Mechanics
ISSN
0020-7462
Publication Date
January 2007
Volume
42
Issue
1
Start / End Page
2 / 12
Related Subject Headings
- Mechanical Engineering & Transports
- 4901 Applied mathematics
- 4017 Mechanical engineering
- 4005 Civil engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Liu, L. P., Dowell, E. H., & Hall, K. C. (2007). A novel harmonic balance analysis for the Van Der Pol oscillator. International Journal Of Non-Linear Mechanics, 42(1), 2–12.
Liu, L. P., E. H. Dowell, and K. C. Hall. “A novel harmonic balance analysis for the Van Der Pol oscillator.” International Journal Of Non-Linear Mechanics 42, no. 1 (January 2007): 2–12.
Liu LP, Dowell EH, Hall KC. A novel harmonic balance analysis for the Van Der Pol oscillator. International Journal Of Non-linear Mechanics. 2007 Jan;42(1):2–12.
Liu, L. P., et al. “A novel harmonic balance analysis for the Van Der Pol oscillator.” International Journal Of Non-Linear Mechanics, vol. 42, no. 1, Jan. 2007, pp. 2–12.
Liu LP, Dowell EH, Hall KC. A novel harmonic balance analysis for the Van Der Pol oscillator. International Journal Of Non-linear Mechanics. 2007 Jan;42(1):2–12.
Published In
International Journal Of Non-linear Mechanics
ISSN
0020-7462
Publication Date
January 2007
Volume
42
Issue
1
Start / End Page
2 / 12
Related Subject Headings
- Mechanical Engineering & Transports
- 4901 Applied mathematics
- 4017 Mechanical engineering
- 4005 Civil engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0102 Applied Mathematics