Highly Nonlinear Wave Propagation in Elastic Woodpile Periodic Structures

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.

The manuscript has 5 pages with 4 figures and the supplement material have 7 pages with 9 figures

References in corpus (3)

• Solitary wave trains in granular chains: Experiments, theory and simulations
• Compactons and Chaos in Strongly Nonlinear Lattices
• Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps

Cited by in corpus (3)

• Traveling Waves and their Tails in Locally Resonant Granular Systems
• Extreme control of impulse transmission by cylinder-based nonlinear phononic crystals
• Nonlinear waves in a strongly nonlinear resonant granular chain