He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions-Reference-Cited by-同舟云学术

He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions

Published:2020-11-09 Issue:4 Volume:39 Page:1216-1223
ISSN:1461-3484
Container-title:Journal of Low Frequency Noise, Vibration and Active Control
language:en
Short-container-title:Journal of Low Frequency Noise, Vibration and Active Control

Author:

Elías-Zúñiga Alex¹^ORCID,Palacios-Pineda Luis Manuel²^ORCID,Jiménez-Cedeño Isaac H³,Martínez-Romero Oscar¹,Trejo Daniel Olvera¹^ORCID

Affiliation:

1. Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Monterrey 64849, Mexico

2. Tecnológico Nacional de México/Instituto Tecnológico de Pachuca, Pachuca, Mexico

3. Engineering Department, Safran Mexico, Chihuahua, Mexico

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.

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

SAGE Publications

Subject

Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/1461348420972820

Reference40 articles.

1. Averaging Methods in Nonlinear Dynamical Systems

2. Homotopy perturbation technique

3. The homotopy perturbation method for nonlinear oscillators with discontinuities

Cited by 40 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. VIBRATION ANALYSIS OF HEAVY WEAPONS IN TRANSIT BY AIRCRAFT IN FRACTAL SPACE CONSIDERING LOCATION DEVIATION;Fractals;2024-01

2. EXPLORING INSECTS FREE FLIGHT: ENHANCING THE DIPTERAN FLIGHT MODEL TO INCLUDE FRACTAL EFFECTS;Fractals;2024-01

3. AN EFFICIENT APPROACH FOR SOLVING THE FRACTAL, DAMPED CUBIC–QUINTIC DUFFING’S EQUATION;Fractals;2023-12-22

4. APPLICATION OF HE’S FREQUENCY FORMULA TO NONLINEAR OSCILLATORS WITH GENERALIZED INITIAL CONDITIONS;Facta Universitatis, Series: Mechanical Engineering;2023-12-16

5. Frequency response of a mass grounded by linear and nonlinear springs in series: An exact analysis;Journal of Low Frequency Noise, Vibration and Active Control;2023-11-30