Low Frequency Characteristics of a Multivibrator Phononic Crystal

Abstract

Abstract: In this paper, a new phononic crystal structure with periodic units consisting of four tungsten vibrators wrapped by silicone rubber coating is designed. The dispersion curve, vibration mode and transmission loss spectrum of the structure were calculated by finite-element method(FEM). The results show that the bandgap range of this structure is 18.85~225.28 Hz, which is consistent with the frequency attenuation range of transmission loss spectrum, and can effectively suppress the propagation of elastic waves of 20~200 Hz in phononic crystals. By analyzing the vibration mode corresponding to the point on the dispersion curve, the formation mechanism of the bandgap is explained. The influence of the notch angle of the phononic crystal plate and the longitudinal and transverse spacing between the phonons on the bandgap was discussed in this paper. The results show that as the notch angle decreases, the lower boundary of the bandgap remains almost unchanged, and the upper boundary of the bandgap rises, thus increasing the width of the bandgap.As the transverse or longitudinal spacing between the vibrators increases, the lower and upper boundaries of the bandgap rise, and the width of the bandgap increases, thus the bandgap of the phononic crystal model is optimized. At the same time, the notch design of the phononic crystal plate save the material and reduce the weight of the structure.

Key words: phononic crystal, local resonance, multivibrator structure, low frequency bandgap, notch angle, silicone rubber

CLC Number:

LI Tianjie, WU Gensheng, YUAN Zhishan, YIN Fuqiang, GU Yunfeng. Low Frequency Characteristics of a Multivibrator Phononic Crystal[J]. Journal of Synthetic Crystals, 2022, 51(12): 2022-2030.

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