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Wavelet-based analysis of time-variant adaptive structures.

Kajetan Dziedziech1, Alexander Nowak2, Alexander Hasse2

  • 1Department of Robotics and Mechatronics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 11, 2018
PubMed
Summary
This summary is machine-generated.

Wavelet analysis effectively identifies time-variant structural dynamics. This method reveals changing natural frequencies in adaptive structures, crucial for real-time monitoring and control.

Keywords:
adaptive structurestime-variant systemswavelet-based coherencewavelet-based frequency response functionwavelets

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Area of Science:

  • Structural dynamics and signal processing.
  • Application of advanced mathematical transforms in engineering.

Background:

  • Adaptive structures exhibit time-varying dynamic properties.
  • Traditional methods struggle to capture rapid or continuous changes in natural frequencies.
  • Understanding these dynamics is vital for structural health monitoring and control.

Purpose of the Study:

  • To apply wavelet analysis for identifying time-variant dynamics in adaptive structures.
  • To demonstrate the effectiveness of wavelet-based tools in tracking natural frequencies.
  • To assess the utility of wavelet-based coherence for system identification and quality assessment.

Main Methods:

  • Utilizing wavelet-based power spectrum, frequency response function (FRF), and coherence.
  • Analyzing the response of a cantilever plate with surface-bonded macro fibre composite.
  • Implementing continuous wavelet transform for time-frequency analysis.

Main Results:

  • Wavelet analysis successfully identified continuously and abruptly varying natural frequencies.
  • Wavelet-based FRF and coherence accurately characterized the time-variant system dynamics.
  • Varying natural frequencies were clearly revealed by the wavelet-based input-output characteristics.

Conclusions:

  • Wavelet-based methods are effective for identifying the dynamics of time-variant systems.
  • Wavelet-based coherence serves a dual purpose in assessing FRF quality and system identification.
  • The study validates wavelet analysis for adaptive structural monitoring.