Enhanced He’s frequency-amplitude formulation for nonlinear oscillators

Results in Physics

Luis Manuel Palacios-Pineda¹  Alex Elías-Zúñiga²  Oscar Martínez-Romero²  Daniel Olvera-Trejo²  Isaac H. Jiménez-Cedeño³ 

[1] Corresponding author.;Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Sur, Monterrey 64849, NL, Mexico;Tecnológico Nacional de México/Instituto Tecnológico de Pachuca, Carr. México-Pachuca, km 87.5, Pachuca, Hidalgo, Código Postal 42080, Mexico;

关键词: Ancient Chinese algorithm;    Nonlinear oscillators;    Jacobi elliptic functions;    Duffing-type equations;    Analytical frequency-amplitude expression;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this article, a trial residual Jacobi elliptic weighted function is introduced to obtain the frequency-amplitude expression of nonlinear oscillators using He’s formulation. Simulation results show an improvement in the accuracy of the frequency values when compare to numerical integration simulations.

【 授权许可】

Unknown