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He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions
Journal of Low Frequency Noise, Vibration and Active Control ( IF 2.8 ) Pub Date : 2020-11-09 , DOI: 10.1177/1461348420972820
Alex Elías-Zúñiga 1 , Luis Manuel Palacios-Pineda 2 , Isaac H Jiménez-Cedeño 3 , Oscar Martínez-Romero 1 , Daniel Olvera Trejo 1
Affiliation  

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.

中文翻译:

He 使用 Jacobi 椭圆函数的非线性振荡器的频率-幅度公式

在这项工作中,非线性振荡器的 Duffing 型解析频率-幅度关系是通过使用 Hés 公式和 Jacobi 椭圆函数推导出来的。通过考虑弱 Duffing 和强 Duffing 非线性振荡器,将使用 Jacobi 椭圆函数的导出解析表达式获得的数值结果与精确数值进行比较。
更新日期:2020-11-09
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