He’s frequency formula to fractal undamped Duffing equation
Nonlinear oscillation is an increasingly important and extremely interesting topic in engineering. This article completely reviews a simple method proposed by Ji-Huan He and successfully establishes a fractal undamped Duffing equation through the two-scale fractal derivative in a fractal space. Its...
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| Formato: | article |
| Lenguaje: | EN |
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SAGE Publishing
2021
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| Acceso en línea: | https://doaj.org/article/47403c1750244fa096e7d8bfda9b99c6 |
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| Sumario: | Nonlinear oscillation is an increasingly important and extremely interesting topic in engineering. This article completely reviews a simple method proposed by Ji-Huan He and successfully establishes a fractal undamped Duffing equation through the two-scale fractal derivative in a fractal space. Its variational principle is established, and the two-scale transform method and the fractal frequency formula are adopted to find the approximate frequency of the fractal oscillator. The numerical result shows that He’s frequency formula is a unique tool for the fractal equations. |
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