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Optimization and experimental validation of stiff porous phononic plates for widest complete bandgap of mixed fundamental guided wave modes

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Abstract
Phononic crystal plates (PhPs) have promising application in manipulation of guided waves for design of low-loss acoustic devices and built-in acoustic metamaterial lenses in plate structures. The prominent feature of phononic crystals is the existence of frequency bandgaps over which the waves are stopped, or are resonated and guided within appropriate defects. Therefore, maximized bandgaps of PhPs are desirable to enhance their phononic controllability. Porous PhPs produced through perforation of a uniform background plate, in which the porous interfaces act as strong reflectors of wave energy, are relatively easy to produce. However, the research in optimization of porous PhPs and experimental validation of achieved topologies has been very limited and particularly focused on bandgaps of flexural (asymmetric) wave modes. In this paper, porous PhPs are optimized through an efficient multiobjective genetic algorithm for widest complete bandgap of mixed fundamental guided wave modes (symmetric and asymmetric) and maximized stiffness. The Pareto front of optimization is analyzed and variation of bandgap efficiency with respect to stiffness is presented for various optimized topologies. Selected optimized topologies from the stiff and compliant regimes of Pareto front are manufactured by water-jetting an aluminum plate and their promising bandgap efficiency is experimentally observed. An optimized Pareto topology is also chosen and manufactured by laser cutting a Plexiglas (PMMA) plate, and its performance in self-collimation and focusing of guided waves is verified as compared to calculated dispersion properties.
Keywords
Experimental, Phononic crystal, Plate, Guided waves, Topology optimization

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Chicago
Hedayatrasa, Saeid, Mathias Kersemans, Kazem Abhary, Mohammad Uddin, and Wim Van Paepegem. 2018. “Optimization and Experimental Validation of Stiff Porous Phononic Plates for Widest Complete Bandgap of Mixed Fundamental Guided Wave Modes.” Mechanical Systems and Signal Processing 98: 786–801.
APA
Hedayatrasa, S., Kersemans, M., Abhary, K., Uddin, M., & Van Paepegem, W. (2018). Optimization and experimental validation of stiff porous phononic plates for widest complete bandgap of mixed fundamental guided wave modes. MECHANICAL SYSTEMS AND SIGNAL PROCESSING , 98, 786–801.
Vancouver
1.
Hedayatrasa S, Kersemans M, Abhary K, Uddin M, Van Paepegem W. Optimization and experimental validation of stiff porous phononic plates for widest complete bandgap of mixed fundamental guided wave modes. MECHANICAL SYSTEMS AND SIGNAL PROCESSING . Elsevier BV; 2018;98:786–801.
MLA
Hedayatrasa, Saeid, Mathias Kersemans, Kazem Abhary, et al. “Optimization and Experimental Validation of Stiff Porous Phononic Plates for Widest Complete Bandgap of Mixed Fundamental Guided Wave Modes.” MECHANICAL SYSTEMS AND SIGNAL PROCESSING 98 (2018): 786–801. Print.
@article{8522504,
  abstract     = {Phononic crystal plates (PhPs) have promising application in manipulation of guided waves
for design of low-loss acoustic devices and built-in acoustic metamaterial lenses in plate
structures. The prominent feature of phononic crystals is the existence of frequency bandgaps
over which the waves are stopped, or are resonated and guided within appropriate
defects. Therefore, maximized bandgaps of PhPs are desirable to enhance their phononic
controllability. Porous PhPs produced through perforation of a uniform background plate,
in which the porous interfaces act as strong reflectors of wave energy, are relatively easy to
produce. However, the research in optimization of porous PhPs and experimental validation
of achieved topologies has been very limited and particularly focused on bandgaps
of flexural (asymmetric) wave modes. In this paper, porous PhPs are optimized through
an efficient multiobjective genetic algorithm for widest complete bandgap of mixed fundamental
guided wave modes (symmetric and asymmetric) and maximized stiffness. The
Pareto front of optimization is analyzed and variation of bandgap efficiency with respect
to stiffness is presented for various optimized topologies. Selected optimized topologies
from the stiff and compliant regimes of Pareto front are manufactured by water-jetting
an aluminum plate and their promising bandgap efficiency is experimentally observed.
An optimized Pareto topology is also chosen and manufactured by laser cutting a
Plexiglas (PMMA) plate, and its performance in self-collimation and focusing of guided
waves is verified as compared to calculated dispersion properties.},
  author       = {Hedayatrasa, Saeid and Kersemans, Mathias and Abhary, Kazem and Uddin, Mohammad and Van Paepegem, Wim},
  issn         = {0888-3270},
  journal      = {MECHANICAL SYSTEMS AND SIGNAL PROCESSING },
  keyword      = {Experimental,Phononic crystal,Plate,Guided waves,Topology optimization},
  language     = {eng},
  pages        = {786--801},
  publisher    = {Elsevier BV},
  title        = {Optimization and experimental validation of stiff porous phononic plates for widest complete bandgap of mixed fundamental guided wave modes},
  url          = {http://dx.doi.org/10.1016/j.ymssp.2017.05.019},
  volume       = {98},
  year         = {2018},
}

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