Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method

A. Y T Leung; S. K. Chui

doi:10.1006/jsvi.1995.0162

Author(s)

A. Y T Leung
S. K. Chui

Detail(s)

Original language	English
Pages (from-to)	619-633
Journal / Publication	Journal of Sound and Vibration
Volume	181
Issue number	4
Publication status	Published - 6 Apr 1995
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1006/jsvi.1995.0162 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0001336588&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(be93b264-f71d-4d5e-9b43-ad88ab242b99).html

Abstract

The incremental harmonic balance method is improved by (i) reversing the order of increment and linearization to find the bifurcated solution branches, (ii) using a fast Fourier transform to compute the solution increments and the Floquet matrix, and (iii) finding the secondary path after a bifurcation by an improved arc-length method. A system of two Duffing oscillators linked with a linear stiffness is taken as a numerical example. The qualitative change of solution due to the change of the linking stiffness is studied in detail. © 1995 Academic Press. All rights reserved.

Citation Format(s)

[ RIS ] [ BibTeX ]

Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method. / Leung, A. Y T; Chui, S. K.
In: Journal of Sound and Vibration, Vol. 181, No. 4, 06.04.1995, p. 619-633.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Leung, AYT & Chui, SK 1995, 'Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method', Journal of Sound and Vibration, vol. 181, no. 4, pp. 619-633. https://doi.org/10.1006/jsvi.1995.0162

Leung, A. Y. T., & Chui, S. K. (1995). Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method. Journal of Sound and Vibration, 181(4), 619-633. https://doi.org/10.1006/jsvi.1995.0162

Leung AYT, Chui SK. Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method. Journal of Sound and Vibration. 1995 Apr 6;181(4):619-633. doi: 10.1006/jsvi.1995.0162

Leung, A. Y T ; Chui, S. K. / Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method. In: Journal of Sound and Vibration. 1995 ; Vol. 181, No. 4. pp. 619-633.