Suppression of Catastrophic Motion and Horseshoes Chaos on a Mechanical Structure using Opto-Electromechanicals Devices

Year 2025, Volume: 7 Issue: 1, 42 - 49

Daniel Junior Lissan 1er , Sanda Oumarou , Blaise Romeo Nana Nbendjo

https://doi.org/10.51537/chaos.1514635

Abstract

We investigate in this paper the dynamic performance of an opto-electromechanicals control technics on a structure modelled by beam with degenerated ${\phi ^6}$ potential. The mathematical model of the structure under control has been derived. The dynamics response are explored using harmonic balance methods. The ability to dissipate the undesired vibrations of a these structures to an acceptable level is theoretically examined by derived the condition of escape from the potential well as well as the criteria for the occurrence of horseshoes chaos on the physical system. The effects of the appropriate control parameter leading to optimal control is explored. It appear globally that opto-electromechanical device is a good candidate of horseshoes chaos suppression on mechanical structure

Keywords

Escape boundary, Optoelectromechanical control, Basin of attraction, Horseshoes chaos

Ethical Statement

The authors declare no conflict of interest in preparing this article.

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