Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps

TL;DR

This study investigates how local vibrations of cylinders influence the formation of tunable frequency band gaps in woodpile phononic crystals, demonstrating potential for advanced vibration filtering applications.

Contribution

It introduces a simple discrete element model linking local resonances to band gap formation in woodpile phononic crystals, enabling versatile control of wave propagation.

Findings

Band gaps depend on bending resonant behavior of cylinders.

Experimental verification of band structure dependence.

Potential for designing advanced vibration filtering devices.

Abstract

We study the formation of frequency band gaps in single column woodpile phononic crystals composed of orthogonally stacked slender cylinders. We focus on investigating the effect of the cylinders local vibrations on the dispersion of elastic waves along the stacking direction of the woodpile phononic crystals. We experimentally verify that their frequency band structures depend significantly on the bending resonant behavior of unit cells. We propose a simple theoretical model based on a discrete element method to associate the behavior of locally resonant cylindrical rods with the band gap formation mechanism in woodpile phononic crystals. The findings in this work imply that we can achieve versatile control of frequency band structures in phononic crystals by using woodpile architectures. The woodpile phononic crystals can form a new type of vibration filtering devices that offer an enhanced degree of freedom in manipulating stress wave propagation.