一种特殊的布拉格型声子晶体杆振动带隙研究

摘要

针对工程中常见的多杆结构的振动抑制问题，将声子晶体具有独特的振动带隙这一理念引入进来，构造了一类布拉格型声子晶体T型杆。在波动方程的基础上，采用传递矩阵法，对声子晶体T型杆的面内和面外振动带隙特性进行了理论推导和数值分析。研究结果表明：弹性波在声子晶体T型杆中传播时会发生波型转化，这种波型转化一方面使得不同波型对应的带隙可以同时发挥振动抑制作用，从而拓展了减振频带；另一方面也使得对于任意方向的振动激扰均能够获得明显的衰减效果。因此，声子晶体T型杆能够很好的满足工程中常见的多维宽频减振需求，是一类良好的减振元件。%In order to solve vibration attenuation problems of a multi-bar structure occurring commonly in engineering,the concept that phononic crystal has a unique vibration band gap was introduced,phononic crystals bragg T (PCT)rod was constructed.Based on the wave equation,the theoretical derivation and numerical calculation for the characteristics of in-plane and out-of-plane vibration band gaps of a PCT rod were performed with the transfer matrix method.The results showed that the transformation of elastic wave form in a PCT rod makes band gaps coresponding to various waveforms contribute to vibration suppression,the vibration reduction frequency bands are widened,furthermore vibration in any direction can also be attenuated.Thus,a PCT rod was a kind of good damping elements to meet the demands of multidimensional broadband vibration reduction in engineering.