研究弹性地基上声子晶体梁的振动特性对于工程中的减振、隔振有一定指导意义.为揭示弹性地基上声子晶体Euler梁的振动特性,采用Euler梁理论、Winkler地基模型,通过有限元法计算出Winkler地基上声子晶体Euler梁弯曲振动能带结构.并与无地基作用下的声子晶体Euler梁能带结构的计算结果比较,揭示出地基约束对声子晶体Euler梁弯曲振动带隙的影响规律.同时,考虑材料的组分比对带隙的影响,结果体现出模型的振动衰减第一带隙范围及第二带隙范围的变化趋势.

This paper studies the vibration characteristics of the phononic crystal beam on elastic foundations, based on the Euler beam theory and the Winkler foundation model. The finite element method is used to obtain the band structures of phononic crystal Euler beams. The results reveal the influence of the foundation constraint on the bending vibration band gaps in the phononic crystal Euler beam. The computational results of the band structures of the phononic crystal Euler beam without foundation are compared with those on the elastic foundation. The significantly different band gaps of the model are shown. The influences of different component ratioes of the phononic crystal Euler beam model are also studied, as well as the frequency ranges of the vibration band gaps.