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User-Friendly Method to Split Up the Multiple Coherence Function Into Noise, Nonlinearity and Transient Components Illustrated on Ground Vibration Testing of an F-16 Fighting Falcon

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Abstract

Purpose

This paper provides a novel method to split up the multiple coherence function into noise, nonlinear distortion, and transient components.

Method

The method relies on the nonparametric estimation framework called the Best Linear Approximation (BLA) where vibro-acoustic systems are excited by special so-called multisines (pseudo-random noise) signals.

Challange

Testing of multiple-input, multiple-output (MIMO) nonlinear systems is very involved, and it usually requires expert users. It is because the design and processing of experiments, and nonlinear assessment are not trivial questions.

Proposal

To cope with these issues, this paper shows the recent results of a research project addressing the questions related to the user-friendly nonlinear (pre-)processing of MIMO experiments of vibrating structures. The key idea is the novel analysis of the (co-)variance estimates of the BLA framework that can be tailored to split up the classical multiple coherence function into noise, nonlinearity, and transient components.

Conclusions

Using the suggested approach, a novice user can quickly determine whether the underlying structure is linear or not, and how much is the possible gain using nonlinear modeling tools.

Illustration

The proposed approach is demonstrated on, but not limited to, the analysis of ground vibration testing of a decommissioned F-16 fighting falcon.

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Acknowledgements

This work was funded by the Strategic Research Program SRP60 of the Vrije Universiteit Brussel.

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Authors and Affiliations

  1. Department of Engineering Technology (INDI), Vrije Universiteit Brussel, Pleinlaan 2, 1050, Elsene, Belgium

    P. Z. Csurcsia

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  1. P. Z. Csurcsia
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Correspondence to P. Z. Csurcsia.

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The author declares that they have no conflict of interest. The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Csurcsia, P.Z. User-Friendly Method to Split Up the Multiple Coherence Function Into Noise, Nonlinearity and Transient Components Illustrated on Ground Vibration Testing of an F-16 Fighting Falcon. J. Vib. Eng. Technol. 10, 2577–2591 (2022). https://doi.org/10.1007/s42417-022-00505-z

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