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Exploring localization in nonlinear oscillator systems through network-based predictions.

Charlotte Geier1, Norbert Hoffmann1,2

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Summary
This summary is machine-generated.

This study introduces a new network-based method to predict and locate localized vibrations in engineering systems. The approach effectively detects impending high-amplitude vibrations, preventing potential component failure.

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Area of Science:

  • Engineering
  • Nonlinear Dynamics
  • Network Science

Background:

  • Localized vibrations, caused by nonlinearities or symmetry breaking, can lead to catastrophic component failure due to fatigue.
  • Predicting the onset of these vibrations is challenging due to system parameter changes during operation.

Purpose of the Study:

  • To develop a novel, network-based approach for early detection and localization of imminent localized vibrations.
  • To provide a method that complements traditional geometric coupling analysis.

Main Methods:

  • Utilized synthetic measurement data to construct a functional network representing the dynamic interplay of machine components.
  • Analyzed the generated functional networks to identify patterns indicative of impending localized vibrations.

Main Results:

  • The proposed network-based method successfully detected impending localized vibrations and pinpointed their location in a bladed disk model.
  • Demonstrated robustness against parameter uncertainties, measurement noise, and varying data sample lengths.

Conclusions:

  • The functional network approach offers a reliable strategy for predicting localized vibrations in complex engineering systems.
  • This method enhances system safety and longevity by enabling proactive maintenance and design adjustments.