Travelling Wave Solutions to Stretched Beam's Equation: Phase Portraits Survey

Travelling Wave Solutions to Stretched Beam's Equation: Phase Portraits Survey

In this paper, following the phase portraits ana/ysis, we investigate the integrabih'ty of a system which physically describes the transverse oscillation of an elastic beam under end-thrust. As a result, we find that this system actually comprises two families of travelling waves: the sub- and...

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Veröffentlicht in:Communications in theoretical physics 2011-04, Vol.55 (4), p.605-608
Hauptverfasser: Betchewe, Gambo, Victor, Kuetche Kamgang, Thomas, Bouetou Bouetou, Kofane, Timoleon Crepin
Format: Artikel
Sprache:eng
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Asymptotic properties
Boundaries
Dynamical systems
Dynamics
Elastic beams
Mathematical analysis
Transverse oscillation
Traveling waves
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container_issue 4
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container_title Communications in theoretical physics
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creator Betchewe, Gambo
Victor, Kuetche Kamgang
Thomas, Bouetou Bouetou
Kofane, Timoleon Crepin
description In this paper, following the phase portraits ana/ysis, we investigate the integrabih'ty of a system which physically describes the transverse oscillation of an elastic beam under end-thrust. As a result, we find that this system actually comprises two families of travelling waves: the sub- and super-sonic periodic waves of positive- and negative-definite velocities, respectively, and the localized sub-sonic loop-shaped waves of positive-definite velocity. Expressing the energy-like of this system while depicting its phase portrait dynamics, we show that these multivalued localized travelling waves appear as the boundary solutions to which the periodic travelling waves tend asymptotically.
doi_str_mv 10.1088/0253-6102/55/4/16
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source IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link; Alma/SFX Local Collection
subjects Asymptotic properties
Boundaries
Dynamical systems
Dynamics
Elastic beams
Mathematical analysis
Transverse oscillation
Traveling waves
title Travelling Wave Solutions to Stretched Beam's Equation: Phase Portraits Survey
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