Author(s): YUN Hao, DENG Zi-chen, ZHU Zhi-wei, Department of Architectural and Civil Engineering, Northwestern Polytechnical University, Department of Engineering Mechanics, Northwestern Polytechnical University
Pages: 814-820
Year: 2015 Issue:  8
Journal: Applied Mathematics and Mechanics
Keyword:  4-point star-shaped honeycomb material; negative Poisson’s ratio; bandgap; local rotation resonance;
Abstract: The bandgap properties of the periodic 4-point star-shaped honeycomb materials with negative Poisson’s ratios were investigated. The in-plane wave propagation in the honeycomb material was analyzed with the finite element method and according to the Bloch theorem. Attention was devoted to determining the influence of the unit cell geometry on the bandgaps. The results showthat the 4-point starshaped honeycomb material has wide bandgaps with relatively stable locations and widths,and the local rotation resonance of the star cells makes the main cause for the formation of the lowest-order bandgaps of the materials. The above bandgap properties of the 4-point star-shaped honeycomb material endowitself with potential application values in the fields of vibration attenuation and noise reduction.