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Automation Process to Determine the Resonance Frequency in the Sonoluminescence Setup

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Abstract

The phenomenon of sonoluminescence is observed when one or more air bubbles suspended in water collapse, emitting light in the presence of acoustic waves produced by ultrasonic transducers made of piezoelectric ceramic (PZT). For the phenomenon to occur is necessary that the bubbles can be trapped in the middle of the resonator container by means of an excitation at its resonance frequency. The objective of this study is to apply control systems technique to both the detection and the maintenance of the resonance frequency as the excitation mode of the resonator. The resonant mode is determined by comparing the signal applied to the resonator as delivered by the PZTs to the signal measured by the hydrophone. The initial part of this work presents a qualitative analysis of the acoustic system. The idea is to gain knowledge about the system frequency response function and use it as a basis for a control technique. The desired automation for this process is then achieved by developing control-based algorithms, with guaranteed stability and convergence properties. Numerical simulations and experimental results are also presented.

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Notes

  1. A set of theoretical models describing the dynamical behavior of a bubble in SBSL and the corresponding solutions for the modified Rayleigh–Plesset equations have been presented in Vignoli et al. (2013) and by Schanz et al. (2012).

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Acknowledgments

The authors thank the Brazilian foundations CNPq, FAPERJ, and CAPES for the financial support.

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Authors and Affiliations

  1. Centro Federal de Educação Tecnológica Celso Suckow da Fonseca - CEFET/RJ, Av. Maracanã, 229, Maracanã, Rio de Janeiro , CEP 20271-110, Brazil

    R. de O. Garcia, A. L. F. de Barros, A. R. L. Zachi & A. L. M. A. Nogueira

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  1. R. de O. Garcia
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  2. A. L. F. de Barros
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  3. A. R. L. Zachi
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  4. A. L. M. A. Nogueira
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Correspondence to A. L. F. de Barros.

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Garcia, R.d.O., de Barros, A.L.F., Zachi, A.R.L. et al. Automation Process to Determine the Resonance Frequency in the Sonoluminescence Setup. J Control Autom Electr Syst 25, 461–469 (2014). https://doi.org/10.1007/s40313-014-0116-8

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  • DOI: https://doi.org/10.1007/s40313-014-0116-8

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