Vibroacoustic response from thin exponential functionally graded plates

Singh, B. N.; Ranjan, Vinayak; Hota, R. N.

doi:10.1007/s00419-022-02163-9

Cited by 8 publications

(4 citation statements)

References 89 publications

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“…Because the plate is thin, the variation in Poisson's ratio (v) along the thickness direction is considered negligible [50][51][52][53]. Material properties of different P-FGM plates can be deduced from [28,[54][55][56]. Table 1 summarizes the different FGM material constituents.…”

Section: Geometry and Materials Propertiesmentioning

confidence: 99%

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Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface

et al. 2022

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This paper analyzes the sound radiation behavior of a clamped thin, functionally graded material plate using the classical plate theory and Rayleigh Integral with the elemental radiator approach. The material properties of the plate are assumed to vary according to the power-law distribution of the constituent materials in the transverse direction. The functionally graded material is modeled using a physical neutral surface instead of a geometric middle surface. The effects of the power-law index, elastic modulus ratio, different constituent materials, and damping loss factor on the sound radiation of functionally graded plate are analyzed. It was found that, for the considered plate, the power-law index significantly influences sound power level and radiation efficiency. There exists a critical value of the power-law index for which the corresponding peak of sound power level is minimum. In a wide operating frequency range, approximately 500–1500 Hz, this research suggests that the radiation efficiency is lower for the power-law index equal to 0 and 1. However, for very low frequencies (less than 250 Hz), the power-law index does not affect radiation efficiency significantly. Further, as the modulus ratio increases, the sound power peak decreases for a given power-law index. For the given material constituents of the functionally graded plate, the different values of damping loss factors do not significantly influence radiation efficiency. However, the selection of material constituents affects the radiation efficiency peak.

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Section: Geometry and Materials Propertiesmentioning

confidence: 99%

“…The normal velocity of plate at any coordinate (x, y) is [32,[54][55][56] V(x, y) = jωw(x, y)e {jωt} (28)…”

Section: Surface Velocity Computation In Normal Directionmentioning

confidence: 99%

Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface

et al. 2022

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“…Recently, the Functionally Graded Material (FGM) plates and shells have also been investigated for their vibroacoustic behavior under thermal environment with or without considering the temperaturedependent material properties. [66][67][68] The review of literature suggests that the accurate numerical estimation of the vibration induced acoustic responses of structures of various geometries built with laminated composite under hostile service conditions is interesting as well as challenging and needs more exploration. The utilization of the HOSDST (considering the linear variation of displacement along the thickness direction) is yet to be outlined for addressing the vibroacoustic problems.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical vibroacoustic analysis of multi-layered composite structure under hygrothermal loading using coupled FEM-IBEM micromechanical model

Dash,

Mahapatra,

Mishra

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The vibroacoustic responses of multi-layer composite shallow shell panels subjected to harmonic mechanical excitation in hygrothermal environment is numerically investigated. A homogenized micromechanical finite element (FE) based on the higher-order mid-plane kinematics replicating quadratic function as well as the through the thickness stretching effect together with the indirect boundary element (IBE) scheme has been first time employed. The isoparametric Lagrangian element with zero-order Hermitian interpolation function (10 degrees of freedom per node) is used for structural model discretization to attain the hygro-thermo-elastic natural frequencies via Hamilton’s principle. The uniqueness of the model is the incorporation of the effective material properties under combined hygrothermal loading via a micromechanics approach. An IBE method is then implemented to attain structure-surrounding coupling and the Helmholtz wave equation is solved to compute the sound radiation responses. The effectiveness of the model is tested by converging it with the similar analytical/numerical results as well as the experimentally acquired data for vibrational as well as acoustic responses. The present scheme is further hold out for solving diverse numerical illustrations. The geometrical parameters, volume fraction of fiber, layup, and support conditions alongside the hygrothermal load is found to have significant influence on the hygro-thermo-acoustic characteristics. The functional inferences will assist in designing the imminent multi-layered structures that serve under the influence of severe hygrothermal loading during high-performance engineering applications.

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Effect of foam structure on thermo-mechanical buckling of foam core sandwich nanoplates with layered face plates made of functionally graded material (FGM)

Yıldız,

Esen

2023

Acta Mech

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Vibroacoustic response from thin exponential functionally graded plates

Cited by 8 publications

References 89 publications

Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface

Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface

Numerical vibroacoustic analysis of multi-layered composite structure under hygrothermal loading using coupled FEM-IBEM micromechanical model

Effect of foam structure on thermo-mechanical buckling of foam core sandwich nanoplates with layered face plates made of functionally graded material (FGM)

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