AN EFFICIENT ANCIENT CHINESE ALGORITHM TO INVESTIGATE THE DYNAMICS RESPONSE OF A FRACTAL MICROGRAVITY FORCED OSCILLATOR-Reference-Cited by-同舟云学术

AN EFFICIENT ANCIENT CHINESE ALGORITHM TO INVESTIGATE THE DYNAMICS RESPONSE OF A FRACTAL MICROGRAVITY FORCED OSCILLATOR

Published:2021-08-12 Issue:06 Volume:29 Page:2150144
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ELÍAS-ZÚÑIGA ALEX¹,MARTÍNEZ-ROMERO OSCAR¹,TREJO DANIEL OLVERA¹,PALACIOS-PINEDA LUIS MANUEL²

Affiliation:

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

2. Tecnológico Nacional de México/Instituto, Tecnológico de Pachuca, Carr. México-Pachuca Km 87.5, Pachuca, Hidalgo, Código Postal 42080, Mexico

Abstract

In this paper, the ancient Chinese algorithm is applied to derive fractal microgravity forced oscillator’s frequency–amplitude response curves using the two-scale fractal transform derivative. Depending on the fractal parameter values, it is shown that the system restoring forces exhibit hardening or softening behavior. Furthermore, the proposed solution approach is simple, efficient, and accurate for obtaining the approximate steady-state solution of a fractal microgravity nonlinear oscillator with a purely nonlinear power-form restoring force.

Funder

Conacyt

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21501449

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