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.
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-09-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2075-1680/7/4/69 |
| _version_ | 1819149205687500800 |
|---|---|
| author | Makrina Agaoglou Michal Fečkan Michal Pospíšil Vassilis M. Rothos Alexander F. Vakakis |
| author_facet | Makrina Agaoglou Michal Fečkan Michal Pospíšil Vassilis M. Rothos Alexander F. Vakakis |
| author_sort | Makrina Agaoglou |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-22T13:57:55Z |
| format | Article |
| id | doaj.art-8de6207b70c243c898460e107ff675af |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-22T13:57:55Z |
| publishDate | 2018-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-8de6207b70c243c898460e107ff675af2022-12-21T18:23:30ZengMDPI AGAxioms2075-16802018-09-01746910.3390/axioms7040069axioms7040069Periodically Forced Nonlinear Oscillatory Acoustic VacuumMakrina Agaoglou0Michal Fečkan1Michal Pospíšil2Vassilis M. Rothos3Alexander F. Vakakis4Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, SlovakiaMathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, SlovakiaMathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, SlovakiaDepartment of Mechanical Engineering, Faculty of Engineering, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceDepartment of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USAIn 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.http://www.mdpi.com/2075-1680/7/4/69nonlinear oscillatory acoustic vacuumperiodic oscillationsMelnikov functionsymmetry |
| spellingShingle | Makrina Agaoglou Michal Fečkan Michal Pospíšil Vassilis M. Rothos Alexander F. Vakakis Periodically Forced Nonlinear Oscillatory Acoustic Vacuum Axioms nonlinear oscillatory acoustic vacuum periodic oscillations Melnikov function symmetry |
| title | Periodically Forced Nonlinear Oscillatory Acoustic Vacuum |
| title_full | Periodically Forced Nonlinear Oscillatory Acoustic Vacuum |
| title_fullStr | Periodically Forced Nonlinear Oscillatory Acoustic Vacuum |
| title_full_unstemmed | Periodically Forced Nonlinear Oscillatory Acoustic Vacuum |
| title_short | Periodically Forced Nonlinear Oscillatory Acoustic Vacuum |
| title_sort | periodically forced nonlinear oscillatory acoustic vacuum |
| topic | nonlinear oscillatory acoustic vacuum periodic oscillations Melnikov function symmetry |
| url | http://www.mdpi.com/2075-1680/7/4/69 |
| work_keys_str_mv | AT makrinaagaoglou periodicallyforcednonlinearoscillatoryacousticvacuum AT michalfeckan periodicallyforcednonlinearoscillatoryacousticvacuum AT michalpospisil periodicallyforcednonlinearoscillatoryacousticvacuum AT vassilismrothos periodicallyforcednonlinearoscillatoryacousticvacuum AT alexanderfvakakis periodicallyforcednonlinearoscillatoryacousticvacuum |