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April 4, 2026Measurement2 citationsOpen Access

A coherence-driven method for instability frequency identification and uncertainty evaluation in friction stir welding

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GAGiorgio de AlteriisRMRosario Schiano Lo MorielloAAAntonello Astarita

Key Points

  • The study aims to develop a coherence-driven method for identifying instability frequencies and assessing uncertainty in friction stir welding (FSW).
  • Proposed a coherence-filtered spectral framework for evaluating dynamic stability in FSW.
  • Used magnitude-squared coherence between translational acceleration and rotational velocity for feature extraction.
  • Employed spectral flatness, bandwidth, and spectral centroid as descriptors of stability.
  • Evaluated measurement uncertainty using Monte Carlo propagation of inertial sensor noise.
  • Stable FSW regimes show low spectral flatness (<0.1), narrow bandwidth (<20 Hz), and relative uncertainties below 10%.
  • Unstable conditions are characterized by broadband spectra and higher uncertainty levels (up to 30%).
  • The method successfully discriminates between stable, transitional, and unstable FSW operating regimes.

Abstract

• A coherence-driven framework is proposed to analyze FSW nonstationary vibrations. • Coherence masking isolates physically correlated spectral components. • Spectral Flatness, Bandwidth, and Centroid quantify stability transitions. • Monte Carlo propagation provides uncertainty for all spectral indicators. • Method discriminates stable, transitional, and unstable FSW regimes. Friction Stir Welding (FSW) exhibits non-stationary vibrations that challenge conventional vibration-based monitoring, where stability indicators are often extracted from single-sensor spectra without formal uncertainty assessment. This study proposes a coherence-filtered spectral framework for the quantitative evaluation of dynamic stability in FSW. Magnitude-squared coherence between translational acceleration and rotational velocity is used as a filtering criterion to restrict feature extraction to dynamically correlated frequency bands. Within these bands, Spectral Flatness (SF), Spectral Bandwidth (BW), and Spectral Centroid (FC) are employed as stability-related descriptors. Experiments conducted on aluminum alloy lap joints at 1400, 1800, and 3200 rpm show that stable regimes are associated with low SF (<0.1), narrow BW (<20 Hz), and relative uncertainties below 10%, whereas unstable conditions exhibit broadband spectra, loss of feature separability, and uncertainty levels up to 30%. Measurement uncertainty is evaluated through Monte Carlo propagation of inertial sensor noise and bias effects following GUM principles. The proposed methodology provides an uncertainty-qualified and measurement-oriented framework for discriminating stable and unstable FSW operating regimes.

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Cite This Study

Alteriis et al. (2026) studied this question.

synapsesocial.com/papers/69d0afde659487ece0fa5ec3https://doi.org/10.1016/j.measurement.2026.121385
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