What is it about?

This work proposes an inverse method, an Algebraic K-Space Identification (AKSI) technique, for wavenumber identification of the 2D structures using the line-based displacement field as input parameters. This new method allows engineers to extract wavenumbers experimentally under different stochastic conditions: 1) signal noise condition; 2) nonuniform sampling conditions; 3) small perturbation caused by uncertainties in measurement points’ coordinates; and 4) unknown structural periodicity. It is noted that this method requires 2D structures to be featured by plane wave fields, which mostly happens in the far field of the exciting structures.

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Why is it important?

This method shows good performance under stochastic conditions, such as good robustness to signal noise/small perturbation of measurement and insensitivity to the sampling ways/structural periodicity, which opens up the possibility for engineers to extract wavelengths to study the dynamic behavior of two-dimensional structures under realistic uncertainty conditions.

Perspectives

I am happy that I can do this interesting research with the co-authors with whom I have had long-standing collaborations. I hope this work can be valuable for engineers or researchers interested in exploring structural dynamics and material characterization from the wave propagation point of view.

Xuefeng Li

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This page is a summary of: An inverse method for characterization of dynamic response of 2D structures under stochastic conditions, Chinese Journal of Aeronautics, March 2024, Tsinghua University Press,
DOI: 10.1016/j.cja.2024.01.007.
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