三维周期结构波阻板的带隙特性研究  

Study on band gap characteristics of three-dimensional periodic structure wave impeding block

作　　者：高盟 张硕[1,2] 孔祥龙 GAO Meng;ZHANG Shuo;KONG Xiang-long(College of Civil Engineering and Architecture,Shandong University of Science and Technology,Qingdao,Shandong 266590,China;Key Laboratory of Civil Engineering Disaster Prevention and Mitigation,Shandong University of Science and Technology,Qingdao,Shandong 266590,China)

机构地区：[1]山东科技大学土木工程与建筑学院,山东青岛266590 [2]山东科技大学山东省土木工程防灾减灾重点实验室,山东青岛266590

出　　处：《岩土力学》2024年第6期1651-1660,共10页Rock and Soil Mechanics

基　　金：山东省自然科学基金面上项目(No.ZR2021ME144)。

摘　　要：波阻板(wave impeding block,简称WIB)常被用于动力机器、轨道交通、建筑施工等振源产生的振动污染控制。但波阻板受土层截止频率的制约,隔振频带窄且无法对特定频率范围进行针对性的振动控制,根据声子晶体,发展了一种三维周期结构波阻板(periodic structural WIB,简称PSWIB)。采用COMSOL有限元分别计算了散射体为正方体及球体时三维周期结构波阻板的带隙,讨论了结构、材料参数等因素对带隙特性的影响,并进行了正交试验优化设计。理论和数值计算均表明:三维有限周期结构波阻板所得衰减区与无限周期波阻板带隙范围一致,具有带隙性,振动衰减区内最大振幅衰减可达54 dB。与传统波阻板相比,三维周期结构波阻板拓宽了隔振频带,突破了截止频率的制约,并可依据振源特性设计三维周期结构波阻板材料参数满足对目标频率振动隔离的要求。The wave impeding block(WIB)is commonly used to control vibration pollution caused by vibration sources such as power machines,rail transit,and construction.However,the WIB is limited by the cut-off frequency of soil layer,resulting in a narrow vibration isolation frequency band,making targeted vibration isolation in a specific frequency range difficult.Based on the principle of phononic crystal,a three-dimensional periodic structural wave impeding block(PSWIB)is proposed.The band gaps of the three-dimensional PSWIB with cube and sphere scatters are calculated using the COMSOL finite element method.The effects of structural and material parameters on band gap characteristics are discussed,and orthogonal test optimization design is conducted.Both theoretical and numerical calculation show that the attenuation zone obtained by the three-dimensional finite periodic structure wave impeding block is consistent with the band gap range of the infinite periodic wave impeding block,which has band gap.The maximum amplitude attenuation in the vibration attenuation zone can reach 54 dB.Compared to traditional wave impeding block,the three-dimensional periodic structure wave impeding block broadens the vibration isolation frequency band,overcomes the cut-off frequency limitation,and allows for the design of material parameters based on the vibration source characteristics to meet target frequency isolation requirements.

关 键 词：三维周期结构 波阻板 目标频率 带隙 衰减域 

分 类 号：TU521[建筑科学—建筑技术科学]