Bifurcation analysis of a two-degree-of-freedom aeroelastic system with freeplay structural nonlinearity by a perturbation-incremental method

K. W. Chung; C. L. Chan; B. H K Lee

doi:10.1016/j.jsv.2006.06.059

Author(s)

K. W. Chung
C. L. Chan
B. H K Lee

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	520-539
Journal / Publication	Journal of Sound and Vibration
Volume	299
Issue number	3
Publication status	Published - 23 Jan 2007

Link(s)

DOI	DOI https://doi.org/10.1016/j.jsv.2006.06.059 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-33750313407&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(1abd18ed-e14a-4b1c-a4d8-7f31dcdd956d).html

Abstract

A perturbation-incremental (PI) method is presented for the computation, continuation and bifurcation analysis of limit cycle oscillations (LCO) of a two-degree-of-freedom aeroelastic system containing a freeplay structural nonlinearity. Both stable and unstable LCOs can be calculated to any desired degree of accuracy and their stabilities are determined by the Floquet theory. Thus, the present method is capable of detecting complex aeroelastic responses such as periodic motion with harmonics, period-doubling (PD), saddle-node bifurcation, Neimark-Sacker bifurcation and the coexistence of limit cycles. Emanating branch from a PD bifurcation can be constructed. This method can also be applied to any piecewise linear systems. © 2006 Elsevier Ltd. All rights reserved.

Citation Format(s)

[ RIS ] [ BibTeX ]

Bifurcation analysis of a two-degree-of-freedom aeroelastic system with freeplay structural nonlinearity by a perturbation-incremental method. / Chung, K. W.; Chan, C. L.; Lee, B. H K.
In: Journal of Sound and Vibration, Vol. 299, No. 3, 23.01.2007, p. 520-539.

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

Chung, KW, Chan, CL & Lee, BHK 2007, 'Bifurcation analysis of a two-degree-of-freedom aeroelastic system with freeplay structural nonlinearity by a perturbation-incremental method', Journal of Sound and Vibration, vol. 299, no. 3, pp. 520-539. https://doi.org/10.1016/j.jsv.2006.06.059

Chung, K. W., Chan, C. L., & Lee, B. H. K. (2007). Bifurcation analysis of a two-degree-of-freedom aeroelastic system with freeplay structural nonlinearity by a perturbation-incremental method. Journal of Sound and Vibration, 299(3), 520-539. https://doi.org/10.1016/j.jsv.2006.06.059

Chung KW, Chan CL, Lee BHK. Bifurcation analysis of a two-degree-of-freedom aeroelastic system with freeplay structural nonlinearity by a perturbation-incremental method. Journal of Sound and Vibration. 2007 Jan 23;299(3):520-539. doi: 10.1016/j.jsv.2006.06.059

Chung, K. W. ; Chan, C. L. ; Lee, B. H K. / Bifurcation analysis of a two-degree-of-freedom aeroelastic system with freeplay structural nonlinearity by a perturbation-incremental method. In: Journal of Sound and Vibration. 2007 ; Vol. 299, No. 3. pp. 520-539.