Designing Two-Band Mechanical Wave Filters Using Genetic Algorithm
W. Sochackia, J. Garusa, J. Szmidlaa, M. Nabiałekb, K. Błochb, P. Kwiatońa, B. Jeżb, K. Jeżb, S. Garusa
aDepartment of Mechanics and Fundamentals of Machinery Design, Faculty of Mechanical Engineering and Computer Science, Częstochowa University of Technology, ul. Dąbrowskiego 73, 42-201 Częstochowa, Poland
bDepartment of Physics, Faculty of Production Engineering and Materials Technology, Częstochowa University of Technology, ul. Dąbrowskiego 73, 42-201 Częstochowa, Poland
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The paper uses a genetic algorithm to design a multilayer structure with two-band gaps in the assumed frequency range of mechanical waves. An appropriate objective function has been designed, allowing for a simultaneous minimization of the transmission from the given frequency ranges and the elimination of high transmission peaks with a small half-width. The paper presents an analysis of the acoustic waves frequency. The transmission of the studied structures was determined using the transfer matrix method algorithm. A single population consisted of 20 structures. In order to minimize the chance of finding solutions to the local minimum, mutations were used in the algorithm and 10% of random structures were introduced into each population.

DOI:10.12693/APhysPolA.139.479
topics: transfer matrix method, genetic algorithm, phononic multilayers, phononic bandgap