Low-frequency band gap and wave attenuation mechanisms of novel hybrid chiral metamaterials

Author:

Cheng Shu-Liang1,Yang Hong-Yun1,Du Xiu-Hong2,Ding Qian3,Yan Qun4,Sun Yong-Tao25,Xin Ya-Jun6,Wan Liang3,Xu Jin-Xin7

Affiliation:

1. Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structure of Hebei Province, Yanshan University, Qinhuangdao, P. R. China

2. Hebei Construction Materials Vocational and Technical College, Qinhuangdao, P. R. China

3. Department of Mechanics and Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin, P. R. China

4. Key Laboratory of Aeroacoustics and Dynamics, Aircraft Strength Research Institute, Xi’an, P. R. China

5. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, P. R. China

6. Hebei Province Engineering Research Center for Harmless Synergistic Treatment and Recycling of Municipal Solid Waste, Yanshan University, Qinhuangdao, P. R. China

7. School of Civil Engineering, Henan Polytechnic University, Jiaozuo, P. R. China

Abstract

Based on the hexagonal honeycomb structure and the tri-ligament chiral honeycomb structure, this paper proposes a hybrid material structure with low-frequency elastic wave suppression below 100[Formula: see text]Hz. Based on the finite element method and Bloch’s theorem, the energy band structure was calculated, and the formation of the band gap and the wave-propagation properties of the structure were carefully studied, the wave attenuation performance of the composite structure was simulated, and the influence of material properties and geometric parameters on the width and position of the band-gap distribution was discussed. The results show that the structure can generate a good band gap in the low-frequency range of 100[Formula: see text]Hz, and the wave propagation is suppressed obviously. Demonstrating its potential in practical applications, the research in this paper provides a theoretical basis for the manufacture of low-frequency vibration damping equipment and instruments, and provides a scheme for the design of metamaterials with low-frequency band gaps.

Funder

the National Natural Science Foundation of China

the State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures

the Aeronautical Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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