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Title: Analysis of geometric defects in square locally resonant phononic crystals: A comparative study of modeling approaches
Phononic crystals can develop defects during manufacturing that alter the desired dynamic response and bandgap behavior. This frequency behavior change can enable successful defect inspection if the characteristic defect response is known. In this study, the behavior of a defective square unit cell comprising a freed and shortened leg is studied using a wave finite element method and an approximate continuous-lumped model to elucidate the defect induced qualitative dynamical features. These metrics are a computationally inexpensive alternative to modeling a defective unit cell within a large pristine array entirely in finite elements. The accuracy of these models is validated by comparing the result to a full finite element model. The impact of a shortened unit cell leg on the behaviors of an infinite array of defective cells and a finite array with a single defect are successfully predicted through dispersion curves and frequency response functions, respectively. These methods reveal defect-induced modes that split the local resonance bandgap of the pristine cell, as well as new anti-resonances resulting from the shortened leg. The study uses both approaches to evaluate the effect of defects in complex phononic crystal geometries and provides a comparative evaluation of the results of each model.  more » « less
Award ID(s):
1847254
NSF-PAR ID:
10473904
Author(s) / Creator(s):
; ; ; ; ;
Editor(s):
Vladislav Sergeevich Sorokin
Publisher / Repository:
AIP Publishing
Date Published:
Journal Name:
The Journal of the Acoustical Society of America
Volume:
154
Issue:
5
ISSN:
0001-4966
Page Range / eLocation ID:
3052 to 3061
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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