Abstract

A physical elastic experimentation domain is immersed within a numerically modeled environment by actively cancelling the boundary reflections at the free surface of a solid target and replacing them with interactions from a desired exterior environment. The paper presents a theoretical derivation for elastic immersive experimentation, as well as the first experimental demonstration in a beam using a state-of-the-art laser doppler vibrometer and three-component piezo electric actuators.

Highlights

  • A new paradigm for wave propagation experimentation, referred to as immersive wave experimentation (IWE), was proposed by Vasmel et al [1]

  • If the same source is excited in both domains Vfull and Vphy, we find that the right-hand side of (3) is equal to the first integral on the ELASTIC IMMERSIVE WAVE EXPERIMENTATION:

  • Through a theoretical derivation of elastic immersive boundary conditions and a numerical verification, we showed that by characterizing the incident wave field at the free surface of the solid target, reflections at the boundary can be canceled and interactions of the wave field between the physical and a virtual domain can be fully accounted for

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Summary

INTRODUCTION

A new paradigm for wave propagation experimentation, referred to as immersive wave experimentation (IWE), was proposed by Vasmel et al [1]. The possibility to implement virtually any kind of boundary conditions, or virtual domains with arbitrary mechanical or acoustic properties (e.g., media with gain or negative constitutive parameters over a broad frequency range), offers new possibilities in the emerging fields of metamaterials [10,11], parity-time symmetry [12], as well as holography and cloaking [13,14]. In these fields, the possibility to circumvent the difficulty of building materials with the desired properties will make practical realizations of theoretical proposals possible. IV, we propose a workflow which allows the first physical implementation of elastic IWE in 1D on a thin aluminum beam

THEORY OF IMMERSIVE ELASTIC EXPERIMENTATION
NUMERICAL IMPLEMENTATION
EXPERIMENTAL IMPLEMENTATION
Canceling the reflection at one side of the aluminum beam
Introducing a virtually scattered wave field
Considerations for extension to 3D IWE
CONCLUSION
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