Numerical and experimental investigation of phononic crystals via wave-based higher-order rod models

Goto, Adriano; Nóbrega, Edilson Dantas; Pereira, Flavio Nunes; Santos, José Maria Campos dos

doi:10.1016/j.ijmecsci.2020.105776

Cited by 18 publications

(6 citation statements)

References 42 publications

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“…The interaction between the incident and reflected waves produces constructive/destructive interference [7,9,10]. Goto et al [11] numerically investigated the forced vibrations and Bragg scattering of a PC rod within the framework of higher-order rod theories and verified them with experimental results. Santos et al [12] focused on the transmission of bending vibrations between a finite number of periodic cells and an infinite periodic beam.…”

Section: Introductionmentioning

confidence: 97%

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

Özmutlu

2022

Symmetry

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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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Section: Introductionmentioning

confidence: 97%

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

Özmutlu

2022

Symmetry

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“…In that study, the pairs of selected materials are steel and CCM (either cork rubbers or cork agglomerates [25]). The possibility to numerically predict the location and width of the ARs in frequency has been shown and validated with the subsequent application to finite repetitive structures [26][27][28]. From these studies arose the idea that a CS composed of an HS in series with a PBVI would be advantageous in the sense that it combines the shock/transient load absorption capability of the HS with the "filtering" capability within the ARs of the PBVIs.…”

Section: Introductionmentioning

confidence: 99%

Experimental Evidence of Efficient Phononic-Based Vibration Isolators for Mechanical Applications

Policarpo,

Almeida,

Neves

et al. 2024

Machines

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Even though the design of vibration isolators is well-established for many engineering applications, their efficiency in wide and multiple frequency ranges is still a challenge. In these cases, the use of Phononic-Based Vibration Isolators (PBVIs) may be advantageous as they present different Attenuation Regions (ARs) in which the elastic waves are strongly attenuated. Therefore, the present paper is devoted to the experimental evaluation, in terms of force transmissibility, of different types of supporting devices tested on a load mass and a motor of a Hermetic Compressor (HC). Those devices are the original Helical Coil Spring (HS) that equips the HC, the PBVI, and the Combined Structure (CS) which is composed of a PBVI combined in series with the HS. Results evidentiate the capability of the CSs to isolate vibrations, where the PBVI contributes with its ARs, thus operating as a “filter” in specific frequency ranges, while the HSs maintain the flexibility of the CSs, which is advantageous for impact-loads and/or transient-case scenarios. Hence, the capability, relevance and impact that these PBVIs present for force transmissibility reduction applications is highlighted here, which should capture the attention of and motivate the industry, e.g., producers of isolation systems, since it has wide-ranging engineering applications.

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“…The viscoelastic effect in most cases is neglected considering the wave propagation in PnCs [12][13][14] . However, more recently, this effect is being studied for the viscoelastic phononic crystals (VPnCs) 11,[15][16][17][18][19][20][21][22] .…”

Section: Introductionmentioning

confidence: 99%

Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers

et al. 2023

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The elastic wave attenuation in artificial composites, known as phononic crystals (PnCs), is an important topic in the context of wave manipulation. However, there is a lack of knowledge in the obtainment of the wave attenuation of PnCs when the viscoelastic effect of different polymers is considered. In this study, the complex band structure of longitudinal waves in 1-D viscoelastic PnC (VPnC) rods composed by steel inclusions (elastic material) in a polymeric matrix (viscoelastic material) is investigated. The viscoelastic effect is modelled by the standard linear solid model (SLSM), which can be used to closely model the behavior of polymers for practical applications. It is also studied the influence of different polymers (i.e., epoxy, nylon, silicon rubber, natural rubber, and low density polyethylene (LDPE)) on the complex band structure of 1-D VPnC rods. The improved plane wave expansion (IPWE) and extended plane wave expansion (EPWE) are used to compute the band structure. It is observed that the viscoelastic effect influences significantly both the propagating and evanescent waves. The viscoelasticity increases the unit cell wave attenuation for most range of frequency considering all polymeric matrices. The highest unit cell wave attenuation is for the polymeric matrix of natural rubber.

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Numerical and experimental investigation of phononic crystals via wave-based higher-order rod models

Cited by 18 publications

References 42 publications

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

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

Experimental Evidence of Efficient Phononic-Based Vibration Isolators for Mechanical Applications

Wave Attenuation in 1-D Viscoelastic Phononic Crystal Rods Using Different Polymers

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