二维声子晶体带隙特性分析与应用研究

Analysis and Application of Band Gap Characteristics of Two-dimensional Sonic Crystals

声子晶体在减振方面拥有广泛应用前景,而带隙分析是将其付诸应用的首要前提。先利用有限元法研究结构与材料参数对带隙的影响,接着基于带隙特性分析的结果,根据实验所得的典型船用离心泵机脚的振动特性,设计以硅橡胶为基体、铅为散射体的声子晶体薄板。将声子晶体引入舱段减振设计中并进行相应的数值响应验证,结果表明:将所设计的声子晶体薄板插入舱段的内底板,在带隙作用范围内可有效阻抑振动传递,并降低舱段外壳的振动响应。

Sonic crystal has great prospects in vibration damping,while the analysis of band gap characteristics is the primary prerequisite.Therefore,the effects of structure and material parameters of the sonic crystal on band gap were studied with FE method in this paper.According to the results of the analysis of band gap characteristics and the vibration performance data of a ship centrifugal pump foundation from the test,the sonic crystal plate with silicone rubber as the matrix and lead as scatter was designed.The vibration damping of a cabin with sonic crystal was designed and studied through harmonic response calculation.The results show that a good inhibition of vibration can be gained when sonic crystal plate is used as elastic interlayers inside the bottom board and the vibration response of the cabin shell is reduced.