Bandgap Properties of Periodic 4-Point Star-Shaped Honeycomb Materials With Negative Poisson’s Ratios

YUN Hao; DENG Zi-chen; ZHU Zhi-wei

doi:10.3879/j.issn.1000-0887.2015.08.003

Volume 36 Issue 8

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YUN Hao, DENG Zi-chen, ZHU Zhi-wei. Bandgap Properties of Periodic 4-Point Star-Shaped Honeycomb Materials With Negative Poisson’s Ratios[J]. Applied Mathematics and Mechanics, 2015, 36(8): 814-820. doi: 10.3879/j.issn.1000-0887.2015.08.003

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Bandgap Properties of Periodic 4-Point Star-Shaped Honeycomb Materials With Negative Poisson’s Ratios

doi: 10.3879/j.issn.1000-0887.2015.08.003

¹Department of Architectural and Civil Engineering, Northwestern Polytechnical University, Xi’an 710072, P.R.China;²Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, P.R.China

Funds: The National Natural Science Foundation of China(11172239)

Received Date: 2015-03-13
Rev Recd Date: 2015-06-17
Publish Date: 2015-08-15

Abstract

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 show that the 4-point star-shaped 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 endow itself with potential application values in the fields of vibration attenuation and noise reduction.
- 4-point star-shaped honeycomb material,
- negative Poisson’s ratio,
- bandgap,
- local rotation resonance

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References(12)

References

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