Document Type
Article
Publication Date
3-17-2015
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 is 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.
Recommended Citation
Kim, E.; Li, F.; Chong, C.; Theocharis, G.; Yang, J.; and Kevrekidis, P. G., "Highly nonlinear wave propagation in elastic woodpile periodic structures" (2015). Mathematics Faculty Publications. 20.
https://digitalcommons.bowdoin.edu/mathematics-faculty-publications/20