Applying a functionally graded viscoelastic model on acoustic wave transmission through the polymeric foam cylindrical shell

Reaei, Sh.; Tarkashvand, A.; Talebitooti, Roohollah

doi:10.1016/j.compstruct.2020.112261

Cited by 12 publications

(10 citation statements)

References 21 publications

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“…These frequencies, from the order of occurrence, are named ring, critical, and coincidence frequency (respectively denoted by f r , f cr , f co ). The reason behind the occurrence of such frequencies is described in detail in other studies [71,72]. However, it should be kept in mind that each interval formed by them gives rise to distinct phenomena.…”

Section: Parametric Studymentioning

confidence: 77%

Sound Transmission Loss of a Honeycomb Sandwich Cylindrical Shell with Functionally Graded Porous Layers

et al. 2022

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To examine the acousto-structural behavior of a sandwich cylindrical shell benefiting from hexagonal honeycomb structures in its core and functionally graded porous (FGP) layers on its outer and inner surfaces, a comprehensive study based on an analytical model which also considers the effect of an external flow is conducted. A homogenous orthotropic model is used for the honeycomb core while its corresponding material features are found from the modified Gibson’s equation. The distribution pattern of FGP parts is either even or logarithmic-uneven, and a special rule-of-mixture relation governs their properties. Based on the first-order shear deformation theory (FSDT), Hamilton’s principle is exploited to derive the final coupled vibro-acoustic equations, which are then solved analytically to allow us to calculate the amount of sound transmission loss (STL) through the whole structure. This acoustic property is further investigated in the frequency domain by changing a set of parameters, i.e., Mach number, wave approach angle, structure’s radius, volume fraction, index of functionally graded material (FGM), and different honeycomb properties. Overall, good agreement is observed between the result of the present study and previous findings.

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Section: Parametric Studymentioning

confidence: 77%

Sound Transmission Loss of a Honeycomb Sandwich Cylindrical Shell with Functionally Graded Porous Layers

et al. 2022

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“…The general stress-strain relations for shells will be shown as followswhere σij and εij (subscripts i, j=r, β, and z) denote the stresses and strains. Also, Dmn(subscripts m, n=1,2,3,4, and 5) illustrate the material constants which can be achieved in terms of the mechanical characteristics as below (Reaei et al, 2020)where υ, G , and E are Poisson’s ratio, shear modulus, and elasticity modulus of the materials in the layers of the desired sandwich structure.…”

Section: Formulation Of the Vibroacoustic Problemmentioning

confidence: 99%

“…It is worth noting that using the Zener model is a suitable method for polymeric foam modeling. The stress–strain relation in this model can be defined as follows (Reaei et al, 2020)…”

Section: Formulation Of the Vibroacoustic Problemmentioning

confidence: 99%

“…For this category of materials, the properties change by a volume fraction distribution law λ(r). In the present work, the following relation is used as the volume fraction (Reaei et al, 2020)where α is the minimum relative density of the material and g is the power-law index. It should be noted that α and g are assumed to be 0.65 and 1 for polymeric foams.…”

Section: Formulation Of the Vibroacoustic Problemmentioning

confidence: 99%

“…Daneshjou et al (2010) examined the sound properties of the FGM cylindrical shells using the third-order shear deformation theory and analytical methods. Reaei et al (2020) investigated sound transmission loss through the circular cylindrical shells made of polymeric foam employing an FGV model. Consequently, the first-order shear deformation theory (FSDT) and Zener model were taken into account for modeling the cylinder and the behavior of the FGV material.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Functionally graded viscoelastic core characteristics on vibroacoustic behavior of double-walled cylindrical shells in a subsonic external flow

Reaei

Talebitooti

2022

Journal of Vibration and Control

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The present study is concerned with an analytical solution for calculating sound transmission loss through an infinite double-walled circular cylindrical shell with two isotropic skins and a polymeric foam core. Accordingly, the two-walled cylindrical shell is stimulated applying an acoustic oblique plane wave. The equations of motion are derived according to Hamilton’s principle using the first-order shear deformation theory for every three layers of the construction. Additionally, by the aid of employing the Zener mathematical model for the core of polymeric foam, mechanical properties are determined. To authenticate the results of this study, the damping of the core layer goes to zero. Therefore, the numerical results in this special case are compared with those of isotropic shells. The results prove that the presented model has high accuracy. It is also designated that decreasing the power-law exponent of the core leads to improving the sound transmission loss through the thickness of the construction. Besides, in addition to probe some configurations versus alterations of frequencies and dimensions, the convergence algorithm is provided. Consequently, it is realized that by increasing the excitation frequency, the minimum number of modes to find the convergence conditions is enhanced. The results also contain a comparison between the sound transmission loss coefficient for four different models of a core of a sandwiched cylindrical shell. It is comprehended that the presented model has a transmission loss coefficient more than the other types of the core at high frequencies.

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The acoustic radiation analysis of SFGP conical shell

Yang,

Jin,

Wang

et al. 2024

International Journal of Mechanical Sciences

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Applying a functionally graded viscoelastic model on acoustic wave transmission through the polymeric foam cylindrical shell

Cited by 12 publications

References 21 publications

Sound Transmission Loss of a Honeycomb Sandwich Cylindrical Shell with Functionally Graded Porous Layers

Sound Transmission Loss of a Honeycomb Sandwich Cylindrical Shell with Functionally Graded Porous Layers

Functionally graded viscoelastic core characteristics on vibroacoustic behavior of double-walled cylindrical shells in a subsonic external flow

The acoustic radiation analysis of SFGP conical shell

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