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中文摘要：
星形节点周期结构蜂窝材料是具有负Poisson（泊松）比效应的一种结构性材料.采用有限元方法对其离散并结合Bloch定理来分析弹性波在其内部传播的带隙问题.结果表明：星形节点周期结构蜂窝材料存在宽大的频率禁带且禁带的位置和大小相对稳定;同时星形节点本身的旋转共振模态是材料最低阶禁带形成的主要原因.星形节点周期结构蜂窝材料的以上带隙特性使其在工程中减震降噪方面具有潜在的应用价值.
英文摘要：
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 honey- comb material was analyzed with the finite element method and according to the Bloch theo- rem. 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 a- bove bandgap properties of the 4-point star-shaped honeycomb material endow itself with po- tential application values in the fields of vibration attenuation and noise reduction.
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