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- Title
He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions.
- Authors
Elías-Zúñiga, Alex; Palacios-Pineda, Luis Manuel; Jiménez-Cedeño, Isaac H; Martínez-Romero, Oscar; Trejo, Daniel Olvera
- Abstract
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.
- Subjects
NONLINEAR oscillators; ELLIPTIC functions
- Publication
Journal of Low Frequency Noise, Vibration & Active Control, 2020, Vol 39, Issue 4, p1216
- ISSN
1461-3484
- Publication type
Article
- DOI
10.1177/1461348420972820