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Rapid Method for Computing the Mechanical Resonances of Irregular Objects

Authors :
Shragai, Avi
Theuss, Florian
Grissonnanche, Gael
Ramshaw, B. J.
Source :
Journal of the Acoustical Society of America, Volume 153, 119 (2023)
Publication Year :
2022

Abstract

A solid object's geometry, density, and elastic moduli completely determine its spectrum of normal modes. Solving the inverse problem - determining a material's elastic moduli given a set of resonance frequencies and sample geometry - relies on the ability to compute resonance spectra accurately and efficiently. Established methods for calculating these spectra are either fast but limited to simple geometries, or are applicable to arbitrarily shaped samples at the cost of being prohibitively slow. Here, we describe a method to rapidly compute the normal modes of irregularly shaped objects using entirely open-source software. Our method's accuracy compares favorably with existing methods for simple geometries and shows a significant improvement in speed over existing methods for irregular geometries.<br />Comment: 16 pages, 3 figures

Details

Database :
arXiv
Journal :
Journal of the Acoustical Society of America, Volume 153, 119 (2023)
Publication Type :
Report
Accession number :
edsarx.2210.08033
Document Type :
Working Paper
Full Text :
https://doi.org/10.1121/10.0016813