# Seismic wave shield using cubic arrays of split-ball resonators

## TL;DR

This paper demonstrates the design of cubic arrays of split-ball resonators that effectively create seismic wave stop bands below 10 Hz, offering potential for earthquake protection.

## Contribution

It introduces novel split-ball resonator configurations that tune seismic stop bands to lower frequencies, enhancing earthquake engineering applications.

## Key findings

- Stop bands achieved in 14-20 Hz range with cubic lattice of 1 metre.
- Splitting spheres into 2 and 8 pieces shifts stop bands below 10 Hz.
- Resonator designs increase bandwidth of seismic wave attenuation.

## Abstract

Metre size inertial resonators located in the ground have been theoretically shown to interact with a seismic wave (attenuation, band gaps) to enable protection of surface structures such as buildings. The challenge for Civil Engineering is to both reduce the size of these resonators and to increase their efficiency. Here we explore steel spheres, connected to a concrete bulk medium, either by a coating of rubber, or rubber and steel ligaments, or air and steel ligaments. We show that for a cubic lattice periodicity of 1 metre, we achieve stop bands in the frequency range 14 to 20 Hz; by splitting spheres in 2 and 8 pieces, we tune down the stop bands frequencies and further increase their bandwidth. We thus demonstrate we are able to provide a variety of inertial resonators with stop bands below 10 Hz i.e., in the frequency range of interest for earthquake engineering.

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Source: https://tomesphere.com/paper/1904.10767