Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied for the persistence of periodic oscillations of a reduced system.

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Published in:Axioms 2018, Vol.7 (4), p.69
Main Authors: Agaoglou, Makrina, Fečkan, Michal, Pospíšil, Michal, Rothos, Vassilis M., Vakakis, Alexander F.
Format: Article
Language:English
Subjects:
Acoustics
Coordinate transformations
Harmonic excitation
Melnikov function
nonlinear oscillatory acoustic vacuum
Ordinary differential equations
Oscillations
periodic oscillations
symmetry
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description In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied for the persistence of periodic oscillations of a reduced system.
doi_str_mv 10.3390/axioms7040069
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subjects Acoustics
Coordinate transformations
Harmonic excitation
Melnikov function
nonlinear oscillatory acoustic vacuum
Ordinary differential equations
Oscillations
periodic oscillations
symmetry
title Periodically Forced Nonlinear Oscillatory Acoustic Vacuum
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