中文摘要：

在掌握声子晶体研究现状及其基本理论的基础上,采用集中质量法计算三维四元声子晶体的振动带隙,并考察填充率和散射体单元结构体积百分比变化对第一带隙的影响.研究结果表明：此结构在低频段存在振动带隙;随着填充率的增大,带隙边界频率向低频移动,带隙宽度增大;散射体单元结构体积百分比变化对带隙边界频率和带隙宽度有较大影响.研究结果为声子晶体研究提供了获得振动带隙的依据和有效方法.

英文摘要：

Based on the phononic crystals research status and basic theory,the influences of filling ratio and structure proportion of scatter cell on the first band gaps border frequency and width were investigated by the lump mass method.It is shown that the structure exists the band gaps at low frequency.As filling ratio increasing,the frequency band gap border moves to the direction of low frequency and the band gap width increases.The change of structure proportion of the scatter cell has great influence on the band gaps border frequency and width.The results provide basis and effective method of vibration band gap for the researches of phononic crystals.