On the passage of the wave along the rod

Anastasia Karakozova,P Akimov,N Vatin,A Doroshenko,A Tusnin

doi:10.1051/e3sconf/202126303004

Anastasia Karakozova, P Akimov + Show 3 more

Open Access

https://doi.org/10.1051/e3sconf/202126303004

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Abstract

The article is devoted to the problem of wave damping in elastic media. This study can be of great practical application for use in systems for damping vibration effects, including those caused by shock waves, as well as for damping vibrations caused by seismic wave effects for structures located in seismically hazardous regions as part of seismic protection measures for objects.

Highlights

There is quite a large number of works on static [1 – 6] and dynamic [7 – 10] problems of periodic media
Most of them are concerned with homogenization procedures, allowing substitution of a periodic medium by the equivalent homogeneous one
Let's select in the medium a cylindrical volume with a height Δx with a base area S [16]

Summary

Introduction

There is quite a large number of works on static [1 – 6] and dynamic [7 – 10] problems of periodic media. Most of them are concerned with homogenization procedures, allowing substitution of a periodic medium by the equivalent homogeneous one. Dispersion analysis of surface acoustic waves in layered structures reveals substantial discrepancy of dispersion curves in layered and homogenized media [11 – 16]. It is observed that propagation of the 1D-waves in an elastic rod having stepwise periodic structure with acoustically contrast components, differs considerably from what is expected in an elastic homogeneous rod

Wave theory

Numerical experiment

Discussion