Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics
Publication
, Journal Article
Donescu, P; Virgin, LN; Wu, JJ
Published in: Journal of Sound and Vibration
May 23, 1996
The periodic solutions of a non-linear oscillator with unsymmetric restoring force and harmonic excitation are studied by means of harmonic balance using an arbitrary number of modes in the assumed solution. Comparisons between the approximate solution for two modes are made with respect to both one mode and numerical solutions. Different stability criteria have been used in a comparative analysis which shows that higher order criteria not only give more accurate results but also respect the correct sequence of flips and folds without a significant increase in computational cost. © 1996 Academic Press Limited.
Duke Scholars
Published In
Journal of Sound and Vibration
DOI
ISSN
0022-460X
Publication Date
May 23, 1996
Volume
192
Issue
5
Start / End Page
959 / 976
Related Subject Headings
- Acoustics
- 51 Physical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Donescu, P., Virgin, L. N., & Wu, J. J. (1996). Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics. Journal of Sound and Vibration, 192(5), 959–976. https://doi.org/10.1006/jsvi.1996.0228
Donescu, P., L. N. Virgin, and J. J. Wu. “Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics.” Journal of Sound and Vibration 192, no. 5 (May 23, 1996): 959–76. https://doi.org/10.1006/jsvi.1996.0228.
Donescu P, Virgin LN, Wu JJ. Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics. Journal of Sound and Vibration. 1996 May 23;192(5):959–76.
Donescu, P., et al. “Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics.” Journal of Sound and Vibration, vol. 192, no. 5, May 1996, pp. 959–76. Scopus, doi:10.1006/jsvi.1996.0228.
Donescu P, Virgin LN, Wu JJ. Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics. Journal of Sound and Vibration. 1996 May 23;192(5):959–976.
Published In
Journal of Sound and Vibration
DOI
ISSN
0022-460X
Publication Date
May 23, 1996
Volume
192
Issue
5
Start / End Page
959 / 976
Related Subject Headings
- Acoustics
- 51 Physical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences