Axioms
(Sep 2018)
Periodically Forced Nonlinear Oscillatory Acoustic Vacuum
Makrina Agaoglou,
Michal Fečkan,
Michal Pospíšil,
Vassilis M. Rothos,
Alexander F. Vakakis
Affiliations
Makrina Agaoglou
Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
Michal Fečkan
Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
Michal Pospíšil
Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
Vassilis M. Rothos
Department of Mechanical Engineering, Faculty of Engineering, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Alexander F. Vakakis
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
DOI
https://doi.org/10.3390/axioms7040069
Journal volume & issue
Vol. 7,
no. 4
Abstract
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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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