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

ELà AS-ZÚÑIGA Alex, Oscar Martã Nez-Romero (), Daniel Olvera Trejo () and Luis Manuel Palacios-Pineda ()
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ELà AS-ZÚÑIGA Alex: Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenue Eugenio Garza, Sada 2501, Monterrey 64849, Mexico
Oscar Martã Nez-Romero: Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenue Eugenio Garza, Sada 2501, Monterrey 64849, Mexico
Daniel Olvera Trejo: Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenue Eugenio Garza, Sada 2501, Monterrey 64849, Mexico
Luis Manuel Palacios-Pineda: ��Tecnológico Nacional de México/Instituto, Tecnológico de Pachuca, Carr. México-Pachuca Km 87.5, Pachuca, Hidalgo, Código Postal 42080, Mexico

FRACTALS (fractals), 2021, vol. 29, issue 06, 1-7

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.

Keywords: Power-form Microgravity Oscillator; Fractal Oscillator; Two-scale Fractal Transform; Amplitude–Frequency Response Curves; Ancient Chinese Algorithm (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21501449

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