岩土力学 ›› 2024, Vol. 45 ›› Issue (3): 750-758.doi: 10.16285/j.rsm.2023.0465

• 基础理论与实验研究 • 上一篇    下一篇

局域共振超材料表面波屏障带隙特性与隔振性能

厉超1,庄培芝2,李利平2, 3,张思峰1,周冲1   

  1. 1. 山东建筑大学 交通工程学院,山东 济南 250101;2. 山东大学 齐鲁交通学院,山东 济南 250002; 3. 山东大学 岩土与结构工程研究中心,山东 济南 250061
  • 收稿日期:2023-04-14 接受日期:2023-07-24 出版日期:2024-03-11 发布日期:2024-03-20
  • 通讯作者: 庄培芝,男,1988年生,博士,教授,博士生导师,主要从事岩土动力学方面的研究。E-mail: zhuangpeizhi@sdu.edu.cn
  • 作者简介:厉超,男,1990年生,博士,副研究员,硕士生导师,主要从事岩土动力学方面的研究。E-mail: lichao21@sdjzu.edu.cn
  • 基金资助:
    山东省自然科学基金资助项目(No.ZR2022QE082)。

Band gap characteristics and vibration isolation performance of locally resonant metamaterial surface wave barrier

LI CHAO1, ZHUANG Pei-zhi2, LI Li-ping2, 3, ZHANG Si-feng1, ZHOU Chong1   

  1. 1. School of Transportation Engineering, Shandong Jianzhu University, Jinan, Shandong 250101, China; 2. School of Qilu Transportation, Shandong University, Jinan, Shandong 250002, China; 3. Geotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, China
  • Received:2023-04-14 Accepted:2023-07-24 Online:2024-03-11 Published:2024-03-20
  • Supported by:
    This work was supported by the Shandong Provincial Natural Science Foundation (ZR2022QE082).

摘要: 为有效解决轨道交通运营引发的地面振动问题,基于声学超材料概念提出一种局域共振超材料表面波屏障(locally resonant metamaterial surface wave barrier,简称LRMB)隔振方法,并采用混凝土和橡胶垫层构造出屏障结构。根据半无限空间弹性动力学理论,推导LRMB带隙计算的解析式,分析橡胶垫、混凝土参数对LRMB带隙特性的影响规律。基于轨道交通地面振动实测数据,探讨LRMB的隔振效果。研究结果表明:LRMB表面波带隙产生主要与其竖向振动有关,基于该模式建立的带隙计算方法是准确的;LRMB橡胶垫厚度增大,带隙起始频率降低,带隙宽度增大;LRMB橡胶垫宽度增大,带隙起始频率升高,带隙宽度减小;LRMB混凝土质量增大,带隙起始频率降低,带隙宽度增大;LRMB原胞数量增多,隔振效率提升,隔振效率达到20~25 dB;以济南轨道交通1号线工程为例,采用LRMB后地面振动衰减可达70%~80%,验证了LRMB的良好隔振性能。

关键词: 声学超材料, 表面波, 波屏障, 带隙特性, 隔振性能

Abstract:

To effectively address the issue of ground vibration induced by the rail transit, a locally resonant metamaterial surface wave barrier (LRMB) vibration isolation method was developed based on the concept of acoustic metamaterials, and the structure model was constructed using concrete and rubber pad. According to the theory of elastic dynamics in semi-infinite space, an analytical calculation formula for LRMB bandgap was derived, and the influences of rubber pad and concrete on LRMB bandgap characteristics was analyzed. The vibration isolation performance of LRMB was further analyzed based on the measured ground vibration induced by the rail transit. The results show that the generation of LRMB surface band gap is mainly related to its vertical vibration, and the band gap calculation method for LRMB assuming vertical vibration mode is accurate. Increasing the thickness of the rubber pads decreases the starting frequency of the bandgap and increases its width. Conversely, increasing the width of the rubber pads increases the starting frequency of the bandgap and decreases its width. Additionally, increasing the mass of the concrete decreases the starting frequency of the LRMB bandgap and increases its width. The vibration isolation efficiency can be improved by increasing the number of primitive cells and the vibration isolation coefficient with 4−6 cells reach 20−25 dB. Using Jinan Rail Transit Line 1 project as an example, the ground vibration attenuation can reach 70%−80% after using LRMB, validating its strong vibration isolation performance.

Key words: acoustic metamaterial, surface wave, wave barrier, band gap characteristics, vibration isolation performance

中图分类号: U213
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