Russillo Andrea Francesco, Arena Felice, Failla Giuseppe
Department of Civil, Energy, Environmental and Materials Engineering (DICEAM), University of Reggio Calabria, Via Zehender, Reggio Calabria 89124, Italy.
Philos Trans A Math Phys Eng Sci. 2024 Sep 23;382(2279):20230363. doi: 10.1098/rsta.2023.0363. Epub 2024 Aug 12.
An innovative concept of metabarrier is presented for seismic Rayleigh wave attenuation, which consists of a periodic array of cylindrical water tanks acting as resonant units above the soil surface. A pertinent theoretical framework is developed and implemented in COMSOL Multiphysics. The framework treats the dynamics of the water tank by a well-established three-dimensional linear, pressure-based model for fluid-structure interaction under earthquake excitation, accounting for the flexibility of the tank wall; furthermore, the soil is idealized as a homogeneous and isotropic medium. Floquet-Bloch dispersion analysis of the unit cell demonstrates the presence of relevant band gaps in the low-frequency range below 20 Hz and in the higher frequency range as well. The dispersion analysis is validated by comparison with the frequency-domain analysis of a soil domain with a finite array of water tanks. The band gaps are of interest to attenuate seismic Rayleigh waves and, more generally, Rayleigh waves caused by other ground vibration sources such as road or railway traffic. The water-tank resonant units are readily tunable by varying the water level, which allows changing opening frequencies/widths of the wave attenuation zones. This is a remarkable advantage over alternative seismic metamaterials that, in general, are not designed to be tunable.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.
本文提出了一种用于地震瑞利波衰减的元屏障创新概念,它由一系列圆柱形水箱组成的周期阵列构成,这些水箱作为土壤表面上方的共振单元。在COMSOL Multiphysics中开发并实现了一个相关的理论框架。该框架通过一个成熟的基于压力的三维线性流体 - 结构相互作用模型来处理水箱的动力学问题,该模型考虑了水箱壁的柔性;此外,将土壤理想化为均匀各向同性介质。对单元胞进行的弗洛凯 - 布洛赫色散分析表明,在低于20Hz的低频范围内以及更高频率范围内都存在相关的带隙。通过与具有有限水箱阵列的土壤区域的频域分析进行比较,验证了色散分析的结果。这些带隙对于衰减地震瑞利波以及更一般地对于衰减由其他地面振动源(如道路或铁路交通)引起的瑞利波具有重要意义。通过改变水位可以很容易地调节水箱共振单元,这使得能够改变波衰减区的开启频率/宽度。与通常设计为不可调谐的替代地震超材料相比,这是一个显著的优势。本文是主题为“弹性和声学超材料科学的当前发展(第2部分)”的一部分。