paper

Exploring localization in nonlinear oscillator systems through network-based predictions

arXiv:2407.05497 · doi:10.1063/5.0265366

Abstract

Localized vibrations, arising from nonlinearities or symmetry breaking, pose a challenge in engineering, as the resulting high-amplitude vibrations may result in component failure due to fatigue. During operation, the emergence of localization is difficult to predict, partly because of changing parameters over the life cycle of a system. This work proposes a novel, network-based approach to detect an imminent localized vibration. Synthetic measurement data is used to generate a functional network, which captures the dynamic interplay of the machine parts, complementary to their geometric coupling. Analysis of these functional networks reveals an impending localized vibration and its location. The method is demonstrated using a model system for a bladed disk, a ring composed of coupled nonlinear Duffing oscillators. Results indicate that the proposed method is robust against small parameter uncertainties, added measurement noise, and the length of the measurement data samples. The source code for this work is available.

arXiv comment8 pages, 4 figures This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in: Charlotte Geier, Norbert Hoffmann; Exploring localization in nonlinear oscillator systems through network-based predictions. Chaos 1 May 2025; 35 (5): 053126. and may be found at: https://doi.org/10.1063/5.0265366

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