Study on the bandgap and wave propagation characteristics of tetrachiral and star-shaped hybrid metamaterial

Author:

Xin Ya-Jun123,Wang Han1ORCID,Ding Qian4,Yan Qun5,Sun Yong-Tao46,Cheng Shu-Liang7,Wang Liang4

Affiliation:

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

2. Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, Yanshan University, Qinhuangdao, P. R. China

3. Hebei Province Low-Carbon and Clean Building Heating Technology Innovation Center Yanshan University, Qinhuangdao, P. R. China

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

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

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

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

Abstract

In this paper, an innovative tetrachiral and star-shaped hybrid metamaterial (TSHM) composed of periodic assembly of single-phase lightweight materials is proposed. Based on the finite element method, the band structure of TSHM and the correlation between the bandgaps and geometric parameters are investigated. In addition, the visualization mode provided by the finite element software COMSOL Multiphysics 5.5 is used to explore the formation mechanism of the bandgaps. Furthermore, by drawing iso-frequency contours and group velocities, the directionality of elastic wave propagation in TSHM and the anisotropic behavior of metastructure are intuitively expressed. Finally, the wave regulation effect of the two-dimensional (2D) sandwich panel formed by the TSHM core is studied and the frequency response functions (FRFs) are plotted, which is another way to characterize the bandgap properties. Our research shows that the proposed periodic metamaterial has excellent wave attenuation performance in multiple frequency ranges, which will provide a valuable reference for vibration and noise reduction projects.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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