A powerful and simple frequency formula to nonlinear fractal oscillators
In this work, a fractal nonlinear oscillator is successfully established by fractal derivative in a fractal space, and its variational principle is obtained by semi-inverse transform method. The variational principle can provide conservation laws in an energy form. The approximate frequency of the f...
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2021-09-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/1461348420947832 |
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| _version_ | 1849220362736238592 |
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| author | Kang-Le Wang Chun-Fu Wei |
| author_facet | Kang-Le Wang Chun-Fu Wei |
| author_sort | Kang-Le Wang |
| collection | DOAJ |
| description | In this work, a fractal nonlinear oscillator is successfully established by fractal derivative in a fractal space, and its variational principle is obtained by semi-inverse transform method. The variational principle can provide conservation laws in an energy form. The approximate frequency of the fractal oscillator is found by a simple fractal frequency formula. An example shows the fractal frequency formula is a powerful and simple tool to fractal oscillators. |
| format | Article |
| id | doaj-art-2675d5a0085d4430a3cb039faaee15b2 |
| institution | Kabale University |
| issn | 1461-3484 2048-4046 |
| language | English |
| publishDate | 2021-09-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj-art-2675d5a0085d4430a3cb039faaee15b22024-12-13T17:03:34ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462021-09-014010.1177/1461348420947832A powerful and simple frequency formula to nonlinear fractal oscillatorsKang-Le WangChun-Fu WeiIn this work, a fractal nonlinear oscillator is successfully established by fractal derivative in a fractal space, and its variational principle is obtained by semi-inverse transform method. The variational principle can provide conservation laws in an energy form. The approximate frequency of the fractal oscillator is found by a simple fractal frequency formula. An example shows the fractal frequency formula is a powerful and simple tool to fractal oscillators.https://doi.org/10.1177/1461348420947832 |
| spellingShingle | Kang-Le Wang Chun-Fu Wei A powerful and simple frequency formula to nonlinear fractal oscillators Journal of Low Frequency Noise, Vibration and Active Control |
| title | A powerful and simple frequency formula to nonlinear fractal oscillators |
| title_full | A powerful and simple frequency formula to nonlinear fractal oscillators |
| title_fullStr | A powerful and simple frequency formula to nonlinear fractal oscillators |
| title_full_unstemmed | A powerful and simple frequency formula to nonlinear fractal oscillators |
| title_short | A powerful and simple frequency formula to nonlinear fractal oscillators |
| title_sort | powerful and simple frequency formula to nonlinear fractal oscillators |
| url | https://doi.org/10.1177/1461348420947832 |
| work_keys_str_mv | AT kanglewang apowerfulandsimplefrequencyformulatononlinearfractaloscillators AT chunfuwei apowerfulandsimplefrequencyformulatononlinearfractaloscillators AT kanglewang powerfulandsimplefrequencyformulatononlinearfractaloscillators AT chunfuwei powerfulandsimplefrequencyformulatononlinearfractaloscillators |