一维杆状结构声子晶体扭转振动带隙研究

RESEARCH ON TORSIONAL VIBRATION BAND GAPS OF ONE DIMENSIONAL PHONONIC CRYSTALS COMPOSED OF ROD STRUCTURES

从椭圆杆的扭转振动方程出发,利用平面波展开法,给出了无限周期结构的一维声子晶体杆的扭转振动能带结构。发现一维声子晶体具有扭转振动带隙,并且分析了椭圆形状对带隙频率的影响。利用有限元方法计算了有限周期结构的椭圆杆的扭转振动频率响应,在带隙频率范围内频率响应具有明显的衰减。扭转振动是噪声及振动控制领域研究的主要对象之一,周期结构杆中存在扭转振动带隙为减振理论与应用提供了一种新的思路。

Based on the torsional vibration equation of the ellipse rod,the torsion wave band structure of one(dimensional) phononic crystals rod composed of two kind of material is provided by using plane wave expansion method.It is found the composite material rod exhibits torsional vibration band gaps.The influence of the ellipse shape on the first gap is discussed.Finite Element Method is employed to calculate the transmission of torsional vibration through finite(periodic) structure.The frequency ranges of sharp drop in frequency response curve simulated with FE method show good agreement with the band gaps.The existence of torsional vibration band gaps in the rod with periodic structures may give a new idea in vibration control theory and application.