Structural parameters optimization of a comb-like structure using locally resonant phononic crystals

Abstract

In this paper, a comb-like locally resonant phononic crystal (LRPC) with optimal structural parameters, which has good low frequency and broadband band gaps (BGs) between 20–250 Hz, is investigated numerically. With the intention of obtaining the optimal structural parameters, based on the structures with different number of the short elastic beams, 2-factor (the two key structural parameters, i.e. the width of the scatterer and the thickness of elastic beams) and 7-level numerical experiments are designed to obtain simulations data using finite element method (FEM). The functional relationships are further constructed using the response surface method (RSM) analysis, i.e. the relationship of the starting frequency of the first BG and the two factors, the terminating frequency of the second BG and the two factors, and the relationship of the total bandwidth of the first two BG and the two factors. After calculation using interior point method, the BGs of LRPC with optimal structural parameters are determined with lower and wider BGs below 250 Hz.

Band gap characteristics of new composite multiple locally resonant phononic crystal metamaterial

“…Given this special physical characteristic, it shows excellent performance and broad application potential in the field of vibration control engineerings. Domestic and foreign scholars have conducted extensive research on band gap calculation methods [10][11][12][13][14][15], band gap regulation [16][17][18][19][20][21], band gap mechanism [22][23][24], and phononic crystal structure design [25][26][27][28][29], and have achieved abundant achievements.…”

“…In order to obtain lower and wider band gap, scholars have proposed rod, beam, layer, plate, film and other structural forms of phononic crystal. Furthermore, the generation mechanism and influencing factors of the local resonance band gap were analyzed, and it was found that the local resonance band gap can be adjusted by changing the material parameters [16,18] and structural parameters [19,20] of the local resonance structure.…”

Flexural wave bandgap properties of phononic crystal beams with interval parameters

“…Further, in order to increase the width of the bandgap and reduce the beginning frequency of the bandgap, Chen et al [21] optimized the hexachiral phononic crystal by integrating the genetic algorithm into the secondary development platform of ISIGHT. By using the response surface method, Zhai et al [22][23][24] and Liu et al [25] established the approximate relationship between the beginning frequency or ending frequency of the bandgap and some geometric parameters of two-dimensional locally resonant phononic crystals, and used this relationship to optimize the structures. Li et al [26] established the inherent relationship between bandgaps and topological features through a deep learning based data-driven method.…”

Band Gaps and Transmission Characteristics Analysis on a Two-Dimensional Multiple-Scatter Phononic Crystal Structure

“…He also presented an array of periodic coating on a thin plate, which were investigated by FEM simulations and experiments [25]. Furthermore, some researchers proposed a generalized structural optimization scheme to optimize 2D PC structures [26][27][28].…”