利用有限元法计算了一种多带隙声子晶体的特征频率，传递损失和位移矢量，理论推导了反共振产生条件。研究结果表明，这种声子晶体在低频范围内具有多条平直带隙，带隙的耦合影响因素少，具有比一般局域共振声子晶体和Bragg 散射声子晶体更宽的带隙。此外，利用原点反共振模型分析计算了这种多带隙声子晶体的材料和结构参数对带隙的影响。研究表明，在低于2 500 Hz时，多带隙声子晶体的带隙占90%以上，为低频多带隙声子晶体的研究作了探索。

In this paper,the characteristic frequency,transmission loss and displacement vector of a new hybrid phononic crystal are calculated by the finite element method,and the conditions of generating antiresonance are derived theoretically.The results show that the hybrid phononic crystal has a number of flat band gaps in the low frequency range,and less influencing factors of band gap coupling,has a wider band gap than the general local resonant phononic crystal and the Bragg scattering phononic crystal.In addition,the effects of material and structural parameters of the hybrid photonic crystal on the band gap are analyzed and calculated by using the origin antiresonance model.The research shows that the band gap of the hybrid photonic crystal accounts for more than 90% at less than 2 500 Hz below.

TN384;TM28;TH113

国家自然科学基金资助项目（11447174）；陕西省自然科学基础研究计划基金资助项目（2015JQ5155）