Self-excited chaotic dynamics of a nonlinear thermo-visco-elastic system that is subject to laser irradiation

We derive and investigate a continuum mechanics based low-order dynamical system for a nonlinear thermo-visco-elastic cantilever that is subject to laser irradiation. The model consists of a Fabry–Pérot interferometer where heat transfer between cantilever layers creates a photothermal effect that t...

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Bibliographic Details
Published inApplied physics letters Vol. 101; no. 13
Main Authors Hollander, E., Gottlieb, O.
Format Journal Article
LanguageEnglish
Published 24.09.2012
Subjects
Chaos theory
Dynamical systems
Irradiation
Lasers
Mathematical models
Nonlinear dynamics
Nonlinearity
Oscillations
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Summary:We derive and investigate a continuum mechanics based low-order dynamical system for a nonlinear thermo-visco-elastic cantilever that is subject to laser irradiation. The model consists of a Fabry–Pérot interferometer where heat transfer between cantilever layers creates a photothermal effect that triggers self-excited oscillations. Model validation is demonstrated by comparison of results to those of a benchmark experiment [K. Hane and K. Suzuki, Sens. Actuators, A 51, 179–182 (1996)] that exhibited periodic oscillations near a subcritical Hopf bifurcation. A numerical analysis reveals a dense chaotic bifurcation structure foliated by multiple periodic solutions. This analysis of a validated continuum based model culminates with a photothermal strange attractor where radiation pressure is negligible.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0003-6951
1077-3118
DOI:10.1063/1.4755844