Highly Nonlinear Wave Propagation in Elastic Woodpile Periodic Structures

TL;DR

This study demonstrates the experimental, numerical, and theoretical analysis of nonlinear wave propagation in a woodpile periodic structure, revealing the formation of nanopteron waves that can be used for stress wave manipulation.

Contribution

It introduces a new experimental and theoretical framework for observing nanopteron waves in a woodpile lattice, highlighting their potential for stress wave control.

Findings

Visualization of nanopteron waves using laser Doppler vibrometry

Identification of strongly-localized solitary waves with oscillatory tails

Potential for stress wave attenuation and modulation without damping

Abstract

In the present work, we experimentally implement, numerically compute with and theoretically analyze a configuration in the form of a single column woodpile periodic structure. Our main finding is that a Hertzian, locally-resonant, woodpile lattice offers a test bed for the formation of genuinely traveling waves composed of a strongly-localized solitary wave on top of a small amplitude oscillatory tail. This type of wave, called a nanopteron, is not only motivated theoretically and numerically, but are also visualized experimentally by means of a laser Doppler vibrometer. This system can also be useful for manipulating stress waves at will, for example, to achieve strong attenuation and modulation of high-amplitude impacts without relying on damping in the system.