Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics
The current paper presents the first treatment to obtain the solution of a complex Helmholtz–Duffing oscillator. This model has described the elevation of the surface waves in fluid mechanics. The non-perturbative approach is used to convert the nonlinear oscillator to a linear oscillator to derive...
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2023-06-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/14613484221138560 |
| _version_ | 1797818947461971968 |
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| author | Yusry O El-Dib |
| author_facet | Yusry O El-Dib |
| author_sort | Yusry O El-Dib |
| collection | DOAJ |
| description | The current paper presents the first treatment to obtain the solution of a complex Helmholtz–Duffing oscillator. This model has described the elevation of the surface waves in fluid mechanics. The non-perturbative approach is used to convert the nonlinear oscillator to a linear oscillator to derive the solution of the complex nonlinear oscillator. This paper has opened the path for a new way to study more complex nonlinear elevation of surface waves. |
| first_indexed | 2024-03-13T09:15:39Z |
| format | Article |
| id | doaj.art-e4f6b2b1ed0b436cbed4de9f8ae539e1 |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-03-13T09:15:39Z |
| publishDate | 2023-06-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-e4f6b2b1ed0b436cbed4de9f8ae539e12023-05-26T10:04:57ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462023-06-014210.1177/14613484221138560Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanicsYusry O El-DibThe current paper presents the first treatment to obtain the solution of a complex Helmholtz–Duffing oscillator. This model has described the elevation of the surface waves in fluid mechanics. The non-perturbative approach is used to convert the nonlinear oscillator to a linear oscillator to derive the solution of the complex nonlinear oscillator. This paper has opened the path for a new way to study more complex nonlinear elevation of surface waves.https://doi.org/10.1177/14613484221138560 |
| spellingShingle | Yusry O El-Dib Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics Journal of Low Frequency Noise, Vibration and Active Control |
| title | Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics |
| title_full | Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics |
| title_fullStr | Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics |
| title_full_unstemmed | Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics |
| title_short | Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics |
| title_sort | properties of complex damping helmholtz duffing oscillator arising in fluid mechanics |
| url | https://doi.org/10.1177/14613484221138560 |
| work_keys_str_mv | AT yusryoeldib propertiesofcomplexdampinghelmholtzduffingoscillatorarisinginfluidmechanics |