论文期刊

The two-degree-of-freedom local resonance elastic metamaterial plate with broadband low-frequency bandgaps




作者: Kuan Lu, Jiu Hui Wu, Jing Li, Nansha Gao, Dong Guan
发表/完成日期: 2016-11-07
期刊名称: J. Phys. D: Appl. Phys.
期卷: accepted
相关文章: The two-degree-of-freedom local resonance elastic metamaterial plate with broadband low-frequency bandgaps.pdf   
论文简介
A theoretical model of a new type of two-degree-of-freedom local resonance mass-spring system
with the resonator considering vertical and rotational vibration (the moment of inertia) is proposed
to generate a negative effective mass over specific frequency ranges. Based on the theoretical
analysis, a novel elastic metamaterial plate is designed. The flexural vibration band structures
as well as the transmission spectrum of the metamaterial plate are investigated by using the
finite element method. Subsequently, the formation mechanism of the band gaps is analyzed by
studying the displacement field of the eigenmodes at the band gap edges. At last, the effects of the
geometrical parameters on the flexural vibration band gaps (FVBGs) are studied and discussed
in detail. The related results well confirm that the two-degree-of-freedom metamaterial shows
negative mass density in two distinctive asymptotic regions, and the proposed elastic metamaterial
plate has two FVBGs with the total width of 94.45 Hz below 200 Hz. The magnitude of torques
introduced into the local resonance system can obviously affect the locations of the FVBGs. For
the elastic metamaterial plate with thick local resonance lead plate and weak rubber is appropriate
to obtain a lower gap, but the total width of the FVBGs becomes narrow. However, it does just
the opposite for the condition with thin local resonance lead plate and strong rubber. For the
double-side stubbed plate, it can enhance the coupling of the flexural traveling wave and the local
resonance modes, which can greatly enlarge the bandwidths. The new working mechanism and
the related calculation results of the designed structures would provide an effective way for elastic
metamaterial plate to broaden the FVBGs at low frequencies, which has potential applications in
low-frequency vibration and noise attenuation.