Wave Propagation in Shear Beams Comprising Finite Periodic Lumped Masses and Resting on Elastic Foundation

In this study, the dispersion of an infinite shear beam with a lumped mass connected at periodic distances and resting on an elastic foundation was examined. The effect of periodicity in the finite region of the lumped masses on wave propagation was investigated through a one-dimensional model. The...

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Published in:Symmetry (Basel) 2023-01, Vol.15 (1), p.17
Main Author: Ozmutlu, Aydin
Format: Article
Language:English
Subjects:
Analysis
band gap
Crystal lattices
Dynamic response
elastic foundation
Elastic foundations
lumped mass
Matrix methods
One dimensional models
periodic structure
Periodic variations
Propagation
Shear
Stiffness
Transfer matrices
Wave attenuation
wave barrier
wave dispersion
Wave propagation
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description In this study, the dispersion of an infinite shear beam with a lumped mass connected at periodic distances and resting on an elastic foundation was examined. The effect of periodicity in the finite region of the lumped masses on wave propagation was investigated through a one-dimensional model. The dispersion relationship for Bragg scattering, which consists of one-dimensional periodic lumped masses, was derived using the transfer matrix method. Subsequently, to evaluate the effect of parameters such as the magnitude of the lumped mass and foundation stiffness on the dynamic response of the shear beam, several simulations were performed. The band frequency characteristics of the shear beam are demonstrated with respect to the variations in stiffness and mass. Using the wave-based approach, the effect of periodic masses on wave propagation in a finite region of an infinite beam was revealed. Periodic masses have been shown to have a positive effect on the displacement amplitude; in other words, a lumped mass barrier is effective in providing wave attenuation.
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subjects Analysis
band gap
Crystal lattices
Dynamic response
elastic foundation
Elastic foundations
lumped mass
Matrix methods
One dimensional models
periodic structure
Periodic variations
Propagation
Shear
Stiffness
Transfer matrices
Wave attenuation
wave barrier
wave dispersion
Wave propagation
title Wave Propagation in Shear Beams Comprising Finite Periodic Lumped Masses and Resting on Elastic Foundation
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