Nonlinear Behavior of a Suspended Particle in Single-Axis Acoustic Levitators

Authors

  • Celso Abud Federal University of Goiás - UFG, Goiás, Brazil.
  • Mirosmar Rodrigues Federal University of Goiás - UFG, Goiás, Brazil
  • Tiago Ramos University of São Paulo - USP, São Paulo, Brazil

DOI:

https://doi.org/10.31686/ijier.vol7.iss12.2016

Keywords:

Nonlinear Phenomena, Acoustic Levitation, Lyapunov Exponents

Abstract

The nonlinear behavior of a suspended sphere in a single-axis acoustic levitator was studied. Spontaneous oscillations of the sphere in this levitator were experimentally analyzed recording its positions using a high speed camera. A mathematical model based on acoustic radiation forces and real parameters is proposed to describe the dynamics of the sphere movement and its stability. The stability of the motion was investigated via a Lyapunov exponent diagram. We observed that the axial and radial movements of small spheres under levitation may present regular stability and chaotic ones. The Lyapunov exponent diagram for the model shows a complexity structure sharing different regions of stability according to the model parameters.

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Author Biographies

  • Celso Abud, Federal University of Goiás - UFG, Goiás, Brazil.

    Institute of Mathematics and Technology.

  • Mirosmar Rodrigues, Federal University of Goiás - UFG, Goiás, Brazil

    Department of Mining Engineering,

  • Tiago Ramos, University of São Paulo - USP, São Paulo, Brazil

    Department of Mechatronics and Mechanical Systems Engineering,

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Published

2019-12-01

Issue

Vol. 7 No. 12 (2019): International Journal for Innovation Education and Research

Section

Journal Articles

License

Copyright (c) 2019 Celso Abud, Mirosmar Rodrigues, Tiago Ramos

Creative Commons License

This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

Copyrights for articles published in IJIER journals are retained by the authors, with first publication rights granted to the journal. The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author for more visit Copyright & License.

How to Cite

Abud, C., Rodrigues, M. ., & Ramos, T. (2019). Nonlinear Behavior of a Suspended Particle in Single-Axis Acoustic Levitators . International Journal for Innovation Education and Research, 7(12), 90-100. https://doi.org/10.31686/ijier.vol7.iss12.2016