ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A SHALLOW ARCH SUBJECTED TO PERIODIC EXCITATION WITH INTERNAL RESONANCE

Q. BI; H. H. DAI

doi:10.1006/jsvi.1999.2813

Author(s)

Q. BI
H. H. DAI

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	557-571
Journal / Publication	Journal of Sound and Vibration
Volume	233
Issue number	4
Publication status	Published - 15 Jun 2000

Link(s)

DOI	DOI https://doi.org/10.1006/jsvi.1999.2813 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85058202722&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(d9d403a1-713b-4990-a343-ad1a2e84614c).html

Abstract

In this paper, the dynamical behavior of a shallow arch subjected to periodic excitation with internal resonance is explored in detail. The parametric plane is then divided into different types of regions by the transition boundaries according to the types of the steady state solutions. A time-integration scheme is used to find the numerical solutions in these regions, which agree with the analytic results. Finally, numerical simulation is also applied to obtain double-period cascading bifurcations leading to chaos and the steady state period-3 solution is shown in the chaos region in the end.

Citation Format(s)

[ RIS ] [ BibTeX ]

ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A SHALLOW ARCH SUBJECTED TO PERIODIC EXCITATION WITH INTERNAL RESONANCE. / BI, Q.; DAI, H. H.
In: Journal of Sound and Vibration, Vol. 233, No. 4, 15.06.2000, p. 557-571.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

BI, Q & DAI, HH 2000, 'ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A SHALLOW ARCH SUBJECTED TO PERIODIC EXCITATION WITH INTERNAL RESONANCE', Journal of Sound and Vibration, vol. 233, no. 4, pp. 557-571. https://doi.org/10.1006/jsvi.1999.2813

BI, Q., & DAI, H. H. (2000). ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A SHALLOW ARCH SUBJECTED TO PERIODIC EXCITATION WITH INTERNAL RESONANCE. Journal of Sound and Vibration, 233(4), 557-571. https://doi.org/10.1006/jsvi.1999.2813

BI Q, DAI HH. ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A SHALLOW ARCH SUBJECTED TO PERIODIC EXCITATION WITH INTERNAL RESONANCE. Journal of Sound and Vibration. 2000 Jun 15;233(4):557-571. doi: 10.1006/jsvi.1999.2813

BI, Q. ; DAI, H. H. / ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A SHALLOW ARCH SUBJECTED TO PERIODIC EXCITATION WITH INTERNAL RESONANCE. In: Journal of Sound and Vibration. 2000 ; Vol. 233, No. 4. pp. 557-571.