Effective acoustic metamaterial homogenization based on Hamilton's principle with a multiple scales approximation

Abstract

This paper derives and demonstrates a one-dimensional acoustic metamaterial homogenization method. The homogenization method uses a multiple-scales approximation with Hamilton's principle, a weak-form representation of the dynamic equation. While the multiple-scales approximation makes the predicted effective material properties of this method inexact, the method is shown to be highly versatile. Analytical and numerical examples are given showing the ability of the homogenization method to account for viscosity and finite-amplitude effects.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 01, 2020
Source ID
10.1121/10.0001273

Entities

People

  • Michael B Muhlestein

Organizations

  • Engineer Research and Development Center

Tags

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Microelectronics