中文摘要：

对于层状三元周期结构的带隙分析和研究目前还属空白.基于声子晶体理论,将层状三元周期结构简化为一维声子晶体结构,并利用集中质量法,分析了材料密度与材料阻尼比变化对第一带隙的影响.研究表明,材料密度的改变对第一带隙产生较大影响;材料阻尼比的变化对第一带隙影响不明显.研究结论为层状三元结构带隙设计提供了理论依据.

英文摘要：

Currently, researches of band gap analysis are mainly focused on layered binary periodic structure. In thispaper, band-gap of the layered triple periodic structure is studied. First of all, this structure is simplified to a one-dimensionalphononic crystal structure based on phononic crystal theory. Then, the effect of density and damping ratio of the material onthe first band gap is analyzed using lumped-mass method. The results indicate that the effect of the density of material on thefirst band gap is considerable, while the effect of damping ratio of material is insignificant. This conclusion may provide atheoretical basis for band gap design of layered triple periodic structure.