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Minimizing the number of layers of the quasi one-dimensional phononic structures

Sebastian Garus Wojciech Sochacki Mariusz Kubanek Marcin Nabiałek
Bulletin of the Polish Academy of Sciences Technical Sciences | 2022 | 70 | 1 | e139394 | DOI: 10.24425/bpasts.2021.139394
Keywords mechanical waves phononic transfer matrix band gap genetic algorithm
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Abstract

In the work, multi-criteria optimization of phononic structures was performed to minimize the transmission in the frequency range of acoustic waves, eliminate high transmission peaks with a small half-width inside of the band gap, and what was the most important part of the work – to minimize the number of layers in the structure. Two types of the genetic algorithm were compared in the study. The first one was characterized by a constant number of layers (GACL) of the phononic structure of each individual in each population. Then, the algorithm was run for a different number of layers, as a result of which the structures with the best value of the objective function were determined. In the second version of the algorithm, individuals in populations had a variable number of layers (GAVL) which required a different type of target function and crossover procedure. The transmission for quasi-one-dimensional phononic structures was determined with the use of the transfer matrix method algorithm. Based on the research, it can be concluded that the developed GAVL algorithm with an appropriately selected objective function achieved optimal solutions in a much smaller number of iterations than the GACL algorithm, and the value of the k parameter below 1 leads to faster achievement of the optimal structure.
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Authors and Affiliations

Sebastian Garus
1
ORCID: ORCID
Wojciech Sochacki
1
ORCID: ORCID
Mariusz Kubanek
2
ORCID: ORCID
Marcin Nabiałek
3
ORCID: ORCID
  1. Faculty of Mechanical Engineering and Computer Science, Department of Mechanics and Fundamentals of Machinery Design, Czestochowa University of Technology, Dąbrowskiego 73, 42-201 Czestochowa, Poland
  2. Faculty of Mechanical Engineering and Computer Science, Department of Computer Science, Czestochowa University of Technology, Dąbrowskiego 73, 42-201 Czestochowa, Poland
  3. Faculty of Production Engineering and Materials Technology, Department of Physics, Czestochowa University of Technology, Armii Krajowej 19, 42-201 Czestochowa, Poland

Influence of spatial distribution and the type of material on the occurrence of bandgaps in phononic crystals

Sebastian Garus Wojciech Sochacki Paweł Kwiatoń Marcin Nabiałek Jana Petrů Mariusz Kubanek
Bulletin of the Polish Academy of Sciences Technical Sciences | 2023 | 71 | 3 | e144609 | DOI: 10.24425/bpasts.2023.144609
Keywords finite difference time domain band gap phononic crystal mechanical waves propagation
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Abstract

The study investigated the effect of the fill factor, lattice constant, and the shape and type of meta-atom material on the reduction of mechanical wave transmission in quasi-two-dimensional phononic structures. A finite difference algorithm in the time domain was used for the analysis, and the obtained time series were converted into the frequency domain using the discrete Fourier transform. The use of materials with large differences in acoustic impedance allowed to determine the influence of the meta-atom material on the propagation of the mechanical wave.
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Authors and Affiliations

Sebastian Garus
1
ORCID: ORCID
Wojciech Sochacki
1
ORCID: ORCID
Paweł Kwiatoń
1
ORCID: ORCID
Marcin Nabiałek
2
ORCID: ORCID
Jana Petrů
3
ORCID: ORCID
Mariusz Kubanek
4
ORCID: ORCID
  1. Faculty of Mechanical Engineering and Computer Science, Department of Mechanics and Fundamentals of Machinery Design, Czestochowa University of Technology, Dąbrowskiego 73, 42-201 Częstochowa, Poland
  2. Faculty of Production Engineering and Materials Technology, Department of Physics, Czestochowa University of Technology, Armii Krajowej 19, 42-201 Częstochowa, Poland
  3. Department of Machining, Assembly and Engineering Metrology, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava,70833 Ostrava, Czech Republic
  4. Faculty of Mechanical Engineering and Computer Science, Department of Computer Science, Czestochowa University of Technology, Dąbrowskiego 73, 42-201 Częstochowa, Poland

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