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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 03, 2016
Accession Number
AD1010149

Entities

People

  • C. Chong
  • E. Kim
  • Fangxing Li
  • G. Theocharis
  • Jeremy Yang
  • P. G. Kevrekidis

Organizations

  • University of Washington

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Amplitude
  • Couplings
  • Doppler Effect
  • Dynamic Response
  • Electrical Solitons
  • Frequency
  • Laser Doppler Vibrometers
  • Materials
  • Materials Science
  • Resonant Frequency
  • Solitons
  • Stress Waves
  • Traveling Waves
  • Vibration
  • Wave Propagation
  • Waveforms
  • Waves

Fields of Study

  • Physics

Readers

  • Coastal Oceanography
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Directed Energy