The frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillator
Nonlinear oscillators arise in physics and engineering. A fast insight into a nonlinear oscillator’s property is much needed. In this letter the frequency-amplitude formulation with ω4 is showed to be simple but effective in the analysis of nonlinear oscillators. As an example, a nonlinear oscillato...
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| Language: | English |
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Elsevier
2018-12-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379718324446 |
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doaj-575429f275e748d6a5040a471ca8739b2020-11-24T20:42:06ZengElsevierResults in Physics2211-37972018-12-011110521053The frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillatorZi-Yin Ren0School of Mechanical Engineering, Hefei University of Technology, 301 Xunhua Road, Xuanzhou District, Xuancheng 242000, Anhui, People’s Republic of ChinaNonlinear oscillators arise in physics and engineering. A fast insight into a nonlinear oscillator’s property is much needed. In this letter the frequency-amplitude formulation with ω4 is showed to be simple but effective in the analysis of nonlinear oscillators. As an example, a nonlinear oscillator with coordinate-dependent mass is adopted to elucidate the solution process. Keywords: Frequency-amplitude formulation, Nonlinear oscillator, Homotopy perturbation methodhttp://www.sciencedirect.com/science/article/pii/S2211379718324446 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zi-Yin Ren |
| spellingShingle |
Zi-Yin Ren The frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillator Results in Physics |
| author_facet |
Zi-Yin Ren |
| author_sort |
Zi-Yin Ren |
| title |
The frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillator |
| title_short |
The frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillator |
| title_full |
The frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillator |
| title_fullStr |
The frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillator |
| title_full_unstemmed |
The frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillator |
| title_sort |
frequency-amplitude formulation with ω4 for fast insight into a nonlinear oscillator |
| publisher |
Elsevier |
| series |
Results in Physics |
| issn |
2211-3797 |
| publishDate |
2018-12-01 |
| description |
Nonlinear oscillators arise in physics and engineering. A fast insight into a nonlinear oscillator’s property is much needed. In this letter the frequency-amplitude formulation with ω4 is showed to be simple but effective in the analysis of nonlinear oscillators. As an example, a nonlinear oscillator with coordinate-dependent mass is adopted to elucidate the solution process. Keywords: Frequency-amplitude formulation, Nonlinear oscillator, Homotopy perturbation method |
| url |
http://www.sciencedirect.com/science/article/pii/S2211379718324446 |
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AT ziyinren thefrequencyamplitudeformulationwithō4forfastinsightintoanonlinearoscillator AT ziyinren frequencyamplitudeformulationwithō4forfastinsightintoanonlinearoscillator |
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