弹性地基上的二维声子晶体薄板振动特性研究

Vibration Property of Two Dimensional Phononic Crystal Thin Plate on Elastic Foundation

弹性地基板在工程中有着广泛应用,控制和消除其振动的问题一直为人们所关注。声子晶体的弹性波禁带特性为弹性地基板的减振隔振和振动控制提供了一种新思路。利用大型商业软件ABAQUS分别计算了有无弹性地基作用的二维声子晶体薄板的频率响应,并进行了对比分析。结果显示,弹性地基的存在使得二维声子晶体薄板在频响分析的低频阶段产生了一个振动带隙,同时较高频率处的带隙范围与无地基情形时相比向高频移动。

Plates on elastic foundation are widely used in engineering.The vibration is controled and eliminated on them is paid attention by people.The elastic band gap characteristics of phononic crystals（PCs） provide a new way for vibration isolation and vibration control of plates resting on elastic foundation.Using ABAQUS,the frequency responses of the two dimensional PCs thin plates resting on elastic foundation or not are calculated and compared.The results show that due to the existence of the elastic foundation,a vibration band gap appears at the beginning of the frequency response analysis,furthermore,the rest band gap ranges move to the high frequency direction compared to the case without foundation.