声子晶体是具有声子带隙的人工周期性复合结构。作为常见的声子晶体的组成材料，橡胶材料的粘弹特性很少被考虑到，但其会对声子晶体带隙特性有重要影响。研究声子晶体考虑橡胶的粘弹性后的带隙特性，目的在于研究声子晶体在实际应用中的特性，以更好的应用声子晶体。建立了一维声子晶体梁的有限元模型。使用微分型粘弹性本构模型中的三参数Maxwell模型，推导了它的松弛剪切模量，将模型中的粘弹性转化为有限元模型中的材料参数。并通过进行有限元计算，比较和分析了考虑粘弹性之后对于不同形式声子晶体带隙的影响，发现粘弹性会影响带隙的位置和宽度，同时减小了振动的衰减。
Phononic crystals are artificial periodic composite structure with phononic band gap.As common pho-nonic crystals constituent materials,the viscoelastic property of the rubber material is rarely taken into ac-count,but it has a major impact on phononic crystal band gap characteristics.This paper studies the band gap properties of phononic crystal considering the viscoelasticity of the rubber materials for the purpose of studying phononic crystal features in the practical application so that we can have a better application of its vibration con-trol characteristics.The shear modulus relaxation parameter is derived and transformed into the finite element model in Abaqus.The finite element model considering viscoelastic property is thus proposed and employed to analysis.According to the comparison and analysis of the influence on different forms of phononic band gaps af-ter considering the viscoelasticity,it is found that the material viscoelasticity has the influence on the location and width of band gap and will weaken the attenuation ability of the band gap.
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