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A new procedure for detecting nonlinearity from transient data using the gabor transform

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Abstract

A new technique for the identification of nonlinearity in multi-degree of freedom systems is presented. The technique is based on the joint application of the Gabor and the Hilbert transforms to the transient response of a system. The Gabor transform is used first to identify a time-variant matrix representing the spatial behaviour of the system. This matrix is then used to decouple the transient response into a set of uncoupled quasi-harmonic components. Finally the Hilbert transform is applied to identify the dissipative and restoring forces associated with each component which is equivalent to a single degree of freedom system. Numerical examples are supplied to help clarify the main advantages and the possible limitations of the method in the presence of strong nonlinearities and closely spaced frequencies.

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Authors and Affiliations

  1. DISG Department, University “La Sapienza”, via Eudossiana 18, 00184, Roma, Italy

    D. Spina

  2. DSSAR Department, University “G. d'Annunzio”, viale Pindaro 42, 65127, Pescara, Italy

    C. Valente

  3. Department of Mechanical Engineering, University of Sheffield, Mappin Street, S1 3JD, Sheffield, U.K.

    G. R. Tomlinson

Authors
  1. D. Spina
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  2. C. Valente
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  3. G. R. Tomlinson
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Spina, D., Valente, C. & Tomlinson, G.R. A new procedure for detecting nonlinearity from transient data using the gabor transform. Nonlinear Dyn 11, 235–254 (1996). https://doi.org/10.1007/BF00120719

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  • DOI: https://doi.org/10.1007/BF00120719

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