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

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...

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Veröffentlicht in:	Journal of sound and vibration 2007-01, Vol.299 (3), p.520-539
Hauptverfasser:	Chung, K.W., Chan, C.L., Lee, B.H.K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Aeroelasticity Bifurcations Emission Exact sciences and technology Fundamental areas of phenomenology (including applications) Linear systems Mathematical analysis Nonlinearity Physics Polyimide resins Solid mechanics Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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container_end_page	539
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container_title	Journal of sound and vibration
container_volume	299
creator	Chung, K.W. Chan, C.L. Lee, B.H.K.
description	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.
doi_str_mv	10.1016/j.jsv.2006.06.059
format	Article
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subjects	Aeroelasticity Bifurcations Emission Exact sciences and technology Fundamental areas of phenomenology (including applications) Linear systems Mathematical analysis Nonlinearity Physics Polyimide resins Solid mechanics Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title	Bifurcation analysis of a two-degree-of-freedom aeroelastic system with freeplay structural nonlinearity by a perturbation-incremental method
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