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- Title
AN EFFICIENT ANCIENT CHINESE ALGORITHM TO INVESTIGATE THE DYNAMICS RESPONSE OF A FRACTAL MICROGRAVITY FORCED OSCILLATOR.
- Authors
ELÍAS-ZÚÑIGA, ALEX; MARTÍNEZ-ROMERO, OSCAR; TREJO, DANIEL OLVERA; PALACIOS-PINEDA, LUIS MANUEL
- 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.
- Subjects
NONLINEAR oscillators; REDUCED gravity environments; ALGORITHMS; FRACTAL analysis
- Publication
Fractals, 2021, Vol 29, Issue 6, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X21501449