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Hilbert transform procedures for detecting and quantifying non-linearity in modal testing

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Sommario

Si descrivono e si riesaminano le procedure di trasformazione Hilbert per la scoperta e la quantificazione della non linearità strutturale nelle funzioni di risposta alla frequenza ottenute durante le prove modali. Si descrive anche un metodo per minimizzare l'effetto dei modi residui di vibrazione, già problematico per quanto riguarda la trasformazione numerica Hilbert.

Summary

A description and a review of the Hilbert transform procedures for detecting and quantifying structural non-linearity in frequency response functions obtained during modal testing is presented in this paper. A method of minimizing the effect of residual modes of vibration, previously a problem with the numerical Hilbert transform, is also described.

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References

  1. Simon M., Tomlinson G.R.,Use of the Hilbert transform in the modal analysis of linear and non-linear structure. Journal of Sound and Vibration 96 (4), 1984, 421–436.

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  2. Vinh T., Tomlinson G.R.,Vibration analysis and identification of non-linear structures. Short Course Notes, University of Manchester, England, 1985.

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  3. Tomlinson G.R.,Developments in the use of the Hilbert transform for detecting and quantifying non-linearity in frequency response functions. Mechanical Systems and Signal Processing, I(2), 1987, 151–173.

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  4. Bendat J.S.,The Hilbert transform and applications to correlation measurements. Bruel and Kjaer Publication, 1985.

  5. Ewins D.J.,Modal Testing-Theory and practice. Research Studies Press, 1984.

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Authors and Affiliations

  1. Professor of Mechanical Engineering, Heriot-Watt University, Riccarton, Edinburgh, Scotland

    G. R. Tomlinson

  2. Research Assistant, Department of Engineering, University of Manchester, England

    I. Ahmed

Authors
  1. G. R. Tomlinson
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  2. I. Ahmed
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Tomlinson, G.R., Ahmed, I. Hilbert transform procedures for detecting and quantifying non-linearity in modal testing. Meccanica 22, 123–132 (1987). https://doi.org/10.1007/BF01556880

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  • DOI: https://doi.org/10.1007/BF01556880

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