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Decomposing stress wave interference in a cylindrical wooden medium using an inverse deconvolution filter
Yishi Lee1, Frederico Nistal-Franca2
1Department of Engineering and Engineering Technology, Metropolitan State University of Denver, Denver, Colorado 80204, USA.
The Journal of the Acoustical Society of America
|December 31, 2022
Summary
This study introduces a novel decomposition algorithm to accurately characterize Rayleigh modes in cylindrical structures. The method improves diagnostic stress wave analysis for enhanced material characterization.
Area of Science:
- Materials Science
- Acoustics
- Signal Processing
Background:
- Rayleigh modes in cylindrical structures are critical for structural integrity.
- Interference from clockwise and counterclockwise trajectories hinders accurate mode characterization using traditional methods.
Purpose of the Study:
- To develop a decomposition algorithm for accurate Rayleigh mode characterization in cylindrical structures.
- To improve the estimation accuracy of diagnostic stress waves for material characterization.
Main Methods:
- The algorithm employs analytical continuous wavelet transforms.
- It uses frequency polynomial approximation of the inverse point spread function via L2 norm optimization.
- A dual derivative operator derives the inverse deconvolution filter.
Main Results:
- The proposed decomposition filter achieves high accuracy in time and energy estimation.
- A relative root mean square error of 0.07 was demonstrated.
- Numerical and empirical validations confirmed the algorithm's effectiveness.
Conclusions:
- The developed algorithm successfully decomposes interfering Rayleigh modes in cylindrical structures.
- This advancement enhances the parametric estimation of diagnostic stress waves.
- The method has significant potential for improving material characterization techniques.
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