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On the Cross-Correlation Method for Identification of Modal Restoring Force Nonlinearity from Random Vibration Data

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Nonlinear Stochastic Mechanics

Part of the book series: IUTAM Symposia ((IUTAM))

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Abstract

A version of cross-correlation approach is proposed for estimating nonlinearity level in a modal restoring force of a structure from its measured response to a white-noise excitation. This version is based on cross-correlating squared amplitudes of band-pass-filtered response components of main resonance and its integer multiples. The algorithm of signal processing provides effective decomposition of “linear” and “nonlinear” parts of the higher-frequency response component, thus leading to a direct estimate of the desired nonlinearity level in terms of the measured normalized cross correlation factor. The results of numerical simulation are presented.

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References

  1. Dimentberg M.F., Sokolov A.A. Identification of Restoring Force Nonlinearity from System’s Response to a White-Noise Excitation. Intern. Journal of Nonlinear Mechanics (in press)

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  2. Bogoliubov N.N., Mitropolsky JU.A. Asymptotic Methods in the Theory of Nonlinear Oscillations (in Russian). Moscow, Nauka, 1974

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  3. Dimentberg M.F. Statistical Dynamics of Nonlinear and Time-Varying Systems. Research Studies Press, Taunton, England, 1988.

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Author information

Authors and Affiliations

  1. Institute for Problems in Mechanics, USSR Academy of Sciences, Moscow, USSR

    M. F. Dimentberg & A. A. Sokolov

Authors
  1. M. F. Dimentberg
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  2. A. A. Sokolov
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy

    Nicola Bellomo

  2. Dept. of Structural Mechanics, University of Pavia, Via Abbiategrasso 211, I-27100, Pavia, Italy

    Fabio Casciati

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© 1992 Springer-Verlag Berlin Heidelberg

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Dimentberg, M.F., Sokolov, A.A. (1992). On the Cross-Correlation Method for Identification of Modal Restoring Force Nonlinearity from Random Vibration Data. In: Bellomo, N., Casciati, F. (eds) Nonlinear Stochastic Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84789-9_14

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  • DOI: https://doi.org/10.1007/978-3-642-84789-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84791-2

  • Online ISBN: 978-3-642-84789-9

  • eBook Packages: Springer Book Archive

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