论文期刊

Elastic wave propagation in the elastic metamaterials containing parallel multi-resonators




作者: Yongjun Tian, Jiu Hui Wu, Hongliang Li, Cansong Gu, Zhengrui Yang, Ziting Zha
发表/完成日期: 2019-06-30
期刊名称: J. Phys. D: Appl. Phys.
期卷: Vol.52, No.39, 2019
相关文章: Tian_2019_J._Phys._D__Appl._Phys._52_395301.pdf   
论文简介
This paper presents the modeling technique, design method, a new working mechanism and
influence factors for elastic metamaterials (EMs) with parallel multi-resonators for broadband
elastic vibration suppression. The general formula of the effective mass is deduced, and the
effects of the relevant structural parameters on the frequency regions of the negative effective
mass are illustrated in details. Subsequently, the dispersion relation and transmission spectrum
of the EMs are studied. Based on the theoretical approach, the EMs plates were proposed, and
the formation mechanism of the band gaps are analyzed by studying the displacement feld of
the eigenmodes at the band gaps edges. The related results well confrm that the novel EMs
induces multi-frequency negative effective mass, and the number of the regions is equal to
the number of the local resonators. The start frequencies of the band gaps are decided by the
natural frequencies of each resonator, and the width of frequency band with negative effective
mass can be broadened by enlarging the mass ratio of the local resonator. The EMs plate
with the thickness of only 2.5 mm designed on the basis of theoretical research exhibits two
flexural vibration band gaps (FVBGs) with the total width of 78.4 Hz below 200 Hz, which
has been verifed by the transmission testing experiments. For the formation mechanism of the
FVBGs, the vibration is localized in the according resonator at the lower edge of each band
gap, while at the upper edges the local resonance mass and the base plate vibrate in a reverse
phase. Based on the theoretical and numerical analyses, the EMs with multiple parallel local
resonators would be used in various felds, such as noise and vibration isolation, flters, and
other renewed devices.