Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Pattern Recognition In Hybrid Dynamical Systems Using Fibonacci Theorem: Jeffcott Rotors

Version 1 : Received: 23 April 2023 / Approved: 24 April 2023 / Online: 24 April 2023 (07:47:25 CEST)

How to cite: Outa, R.; Chavarette, F.R.; Gonçalves³, A.C.; Pinto, S.D.S.; Muzzi, F.A.G. Pattern Recognition In Hybrid Dynamical Systems Using Fibonacci Theorem: Jeffcott Rotors. Preprints 2023, 2023040833. https://doi.org/10.20944/preprints202304.0833.v1 Outa, R.; Chavarette, F.R.; Gonçalves³, A.C.; Pinto, S.D.S.; Muzzi, F.A.G. Pattern Recognition In Hybrid Dynamical Systems Using Fibonacci Theorem: Jeffcott Rotors. Preprints 2023, 2023040833. https://doi.org/10.20944/preprints202304.0833.v1

Abstract

Considering the current needs of industry 4.0, especially in the condition of systems linked to artificial intelligence, this multidisciplinary concept work and difficult to execute, proposes the main idea of recognizing patterns using mathematical concepts of simple access and logical resolution of great potential. The objective of this work is to demonstrate a process for pattern recognition by applying the Fibonacci concept to vibration signals of hybrid dynamical systems. For this to be possible, it was necessary to use the concepts of preprocessing in a vector for pattern recognition, together with the concepts of the golden rule of Fibonacci, finally, all applied in the theorem of Jeffcott Rotors. The general result, from a technical point of view, demonstrates positivity and relationship of patterns, because, considering the aspect of the location between the values of the experimental and numerical result, both signs have similarities.

Keywords

Jeffcott Rotors; Fibonacci; Vibration; Pattern Recognition; Digital Signal Processing.

Subject

Engineering, Mechanical Engineering

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