Solutions Space State Analysis for Transmission Minimizing of Quasi One-Dimensional Phononic Structures

S. Garus Department of Mechanics and Fundamentals of Machinery Design, Czestochowa University of Technology, Poland

Full Text PDF

In the paper, all possible transmissions of quasi one-dimensional structures permutations made of glass and epoxy resin surrounded by water for the frequency range of acoustic waves was determined using the Transfer Matrix Method (TMM) algorithm. On their basis, the phase space of solutions for minimizing the objective function for the genetic algorithm was determined.This space consisted of the transmission integral (energy reduction of propagating wave) and the integral of the absolute value of the transmission functions derivative (elimination of high transmission peaks with a small half width). The paper demonstrates the existence of bandgaps for the analyzed multilayer structures (waves with characteristic frequencies do not propagate in the structure) and demonstrates the existence of local minima of solution spaces with low probability of finding optimal structure by the genetic algorithm. State space search for various initial values of the optimization algorithm was also analyzed.

DOI:10.12693/APhysPolA.138.299 topics: transmission, transfer matrix, genetic algorithm, multilayers, phononic structures