He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions
In this work, the Duffing’s type analytical frequency–amplitude relationship for nonlinear oscillators is derived by using Hés formulation and Jacobi elliptic functions. Comparison of the numerical results obtained from the derived analytical expression using Jacobi elliptic functions with respect t...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2020-12-01
|
| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/1461348420972820 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846124833816969216 |
|---|---|
| author | Alex Elías-Zúñiga Luis Manuel Palacios-Pineda Isaac H Jiménez-Cedeño Oscar Martínez-Romero Daniel Olvera Trejo |
| author_facet | Alex Elías-Zúñiga Luis Manuel Palacios-Pineda Isaac H Jiménez-Cedeño Oscar Martínez-Romero Daniel Olvera Trejo |
| author_sort | Alex Elías-Zúñiga |
| collection | DOAJ |
| description | In this work, the Duffing’s type analytical frequency–amplitude relationship for nonlinear oscillators is derived by using Hés formulation and Jacobi elliptic functions. Comparison of the numerical results obtained from the derived analytical expression using Jacobi elliptic functions with respect to the exact ones is performed by considering weak and strong Duffing’s nonlinear oscillators. |
| format | Article |
| id | doaj-art-cfdd7b30b8b846c59b15f6917aa85772 |
| institution | Kabale University |
| issn | 1461-3484 2048-4046 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj-art-cfdd7b30b8b846c59b15f6917aa857722024-12-13T12:03:45ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462020-12-013910.1177/1461348420972820He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functionsAlex Elías-ZúñigaLuis Manuel Palacios-PinedaIsaac H Jiménez-CedeñoOscar Martínez-RomeroDaniel Olvera TrejoIn this work, the Duffing’s type analytical frequency–amplitude relationship for nonlinear oscillators is derived by using Hés formulation and Jacobi elliptic functions. Comparison of the numerical results obtained from the derived analytical expression using Jacobi elliptic functions with respect to the exact ones is performed by considering weak and strong Duffing’s nonlinear oscillators.https://doi.org/10.1177/1461348420972820 |
| spellingShingle | Alex Elías-Zúñiga Luis Manuel Palacios-Pineda Isaac H Jiménez-Cedeño Oscar Martínez-Romero Daniel Olvera Trejo He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions Journal of Low Frequency Noise, Vibration and Active Control |
| title | He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions |
| title_full | He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions |
| title_fullStr | He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions |
| title_full_unstemmed | He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions |
| title_short | He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions |
| title_sort | he s frequency amplitude formulation for nonlinear oscillators using jacobi elliptic functions |
| url | https://doi.org/10.1177/1461348420972820 |
| work_keys_str_mv | AT alexeliaszuniga hesfrequencyamplitudeformulationfornonlinearoscillatorsusingjacobiellipticfunctions AT luismanuelpalaciospineda hesfrequencyamplitudeformulationfornonlinearoscillatorsusingjacobiellipticfunctions AT isaachjimenezcedeno hesfrequencyamplitudeformulationfornonlinearoscillatorsusingjacobiellipticfunctions AT oscarmartinezromero hesfrequencyamplitudeformulationfornonlinearoscillatorsusingjacobiellipticfunctions AT danielolveratrejo hesfrequencyamplitudeformulationfornonlinearoscillatorsusingjacobiellipticfunctions |