Highly Nonlinear Wave Propagation in Elastic Woodpile Periodic Structures
arXiv:1411.7062 · doi:10.1103/PhysRevLett.114.118002
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.
arXiv commentThe manuscript has 5 pages with 4 figures and the supplement material have 7 pages with 9 figures
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