Weakly nonlinear oscillations of gas column driven by self-sustained sources
Self-sustained sources coupled to some sort of resonator have drawn attention recently as a subject of nonlinear dynamics with many practical applications as well as interesting mathematical problems from the chaos theory and the theory of synchronizations. In order to mimic the self-sustainability...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2019-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://www.matec-conferences.org/articles/matecconf/pdf/2019/32/matecconf_fcac2019_06001.pdf |
| _version_ | 1819162739311902720 |
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| author | Hruška Viktor Bednarřík Michal Červenka Milan |
| author_facet | Hruška Viktor Bednarřík Michal Červenka Milan |
| author_sort | Hruška Viktor |
| collection | DOAJ |
| description | Self-sustained sources coupled to some sort of resonator have drawn attention recently as a subject of nonlinear dynamics with many practical applications as well as interesting mathematical problems from the chaos theory and the theory of synchronizations. In order to mimic the self-sustainability arising from physical background the van der Pol equation is commonly used as a model (e.g. vortex induced noise, flowstructure interactions, vocal folds motion etc.). In many cases the sound field inside the resonator is strong enough for weakly nonlinear formulation based on the Kuznetsov model equation to be employed. An array of sources governed by the inhomogeneous van der Pol equation coupled to the nonlinear acoustic wave equation is studied. The one dimensional constant cross-section open resonator with zero radiation impedance is assumed. The focus is on the main features such as mode-locking, harmonics generation and build-up from infinitesimal fluctuations. |
| first_indexed | 2024-12-22T17:33:01Z |
| format | Article |
| id | doaj.art-bdb902f749aa4cf288dff867b75511a4 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-22T17:33:01Z |
| publishDate | 2019-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-bdb902f749aa4cf288dff867b75511a42022-12-21T18:18:35ZengEDP SciencesMATEC Web of Conferences2261-236X2019-01-012830600110.1051/matecconf/201928306001matecconf_fcac2019_06001Weakly nonlinear oscillations of gas column driven by self-sustained sourcesHruška Viktor0Bednarřík Michal1Červenka Milan2Czech Technical University in Prague, Faculty of Electrical EngineeringCzech Technical University in Prague, Faculty of Electrical EngineeringCzech Technical University in Prague, Faculty of Electrical EngineeringSelf-sustained sources coupled to some sort of resonator have drawn attention recently as a subject of nonlinear dynamics with many practical applications as well as interesting mathematical problems from the chaos theory and the theory of synchronizations. In order to mimic the self-sustainability arising from physical background the van der Pol equation is commonly used as a model (e.g. vortex induced noise, flowstructure interactions, vocal folds motion etc.). In many cases the sound field inside the resonator is strong enough for weakly nonlinear formulation based on the Kuznetsov model equation to be employed. An array of sources governed by the inhomogeneous van der Pol equation coupled to the nonlinear acoustic wave equation is studied. The one dimensional constant cross-section open resonator with zero radiation impedance is assumed. The focus is on the main features such as mode-locking, harmonics generation and build-up from infinitesimal fluctuations.https://www.matec-conferences.org/articles/matecconf/pdf/2019/32/matecconf_fcac2019_06001.pdf |
| spellingShingle | Hruška Viktor Bednarřík Michal Červenka Milan Weakly nonlinear oscillations of gas column driven by self-sustained sources MATEC Web of Conferences |
| title | Weakly nonlinear oscillations of gas column driven by self-sustained sources |
| title_full | Weakly nonlinear oscillations of gas column driven by self-sustained sources |
| title_fullStr | Weakly nonlinear oscillations of gas column driven by self-sustained sources |
| title_full_unstemmed | Weakly nonlinear oscillations of gas column driven by self-sustained sources |
| title_short | Weakly nonlinear oscillations of gas column driven by self-sustained sources |
| title_sort | weakly nonlinear oscillations of gas column driven by self sustained sources |
| url | https://www.matec-conferences.org/articles/matecconf/pdf/2019/32/matecconf_fcac2019_06001.pdf |
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