The influence of the rheological parameters of a hydro-viscoelastic system consisting of a viscoelastic plate, viscous fluid and rigid wall on the frequency response of this system

Akbarov, S. D.; Ismailov, MI

doi:10.1177/1077546316660029

Cited by 6 publications

(6 citation statements)

References 15 publications

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“…The present work can also be considered as further development of the second author's work from the last decade dealing with the forced vibration of single-layer purely elastic or viscoelastic plates in contact with a compressible viscous fluid (see, for example, the works [5][6][7]). A review of these works can be found in the paper by Akbarov [3].…”

Section: Introductionmentioning

confidence: 95%

“…Using the expressions in ( 37), ( 40), ( 8), (7), and ( 6), the following expressions are obtained for the quantities related to the fluid flow:…”

Section: Determination Of the Fourier Transforms Of The Quantities Re...mentioning

confidence: 99%

“…Since then, a lot of further research has been done. For a detailed review, as well as some recent results, see the works of Amabili [2], Akbarov [3,4], Akbarov et al [5][6][7], Guz [8], Guz et al [9], Paimushin et al [10], Paimushin et al [11], Shuaib et al [12], Sorokin et al [13], Zamanov et al [14] and many others listed therein.…”

Section: Introductionmentioning

confidence: 99%

“…Note that these investigations can be classified according to various aspects, such as the theories applied to describe the motion of the plate (approximate plate theories, which are described, for example in [1,2,[10][11][12] and many other theories discussed in the work of Akbarov [3]); the exact equations of elastodynamics discussed for example in [5][6][7][8][9]; and modeling of the plate material as elastic, for example, in the work of Akbarov et al [6] and many other works listed therein, or viscoelastic, for example, in the works [7,14]. Moreover, these works can be classified according to the type of dynamic problems considered (wave dispersion, free vibration, and forced vibration), the modeling of the fluid (inviscid fluid, viscous fluid, compressible and incompressible fluid), and so on.…”

Section: Introductionmentioning

confidence: 99%

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Vibration of a Two-Layer “Metal+PZT” Plate Contacting with Viscous Fluid

Kuzeci¹,

Akbarov²

2023

Computers, Materials &Amp; Continua

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The present work investigates the mechanically forced vibration of the hydro-elasto-piezoelectric system consisting of a two-layer plate "elastic+PZT", a compressible viscous fluid, and a rigid wall. It is assumed that the PZT (piezoelectric) layer of the plate is in contact with the fluid and time-harmonic linear forces act on the free surface of the elastic-metallic layer. This study is valuable because it considers for the first time the mechanical vibration of the metal+piezoelectric bilayer plate in contact with a fluid. It is also the first time that the influence of the volumetric concentration of the constituents on the vibration of the hydro-elasto-piezoelectric system is studied. Another value of the present work is the use of the exact equations and relations of elasto-electrodynamics for elastic and piezoelectric materials to describe the motion of the plate layers within the framework of the piecewise homogeneous body model and the use of the linearized Navier-Stokes equations to describe the flow of the compressible viscous fluid. The plane-strain state in the plate and the plane flow in the fluid take place. For the solution of the corresponding boundary-value problem, the Fourier transform is used with respect to the spatial coordinate on the axis along the laying direction of the plate. The analytical expressions of the Fourier transform of all the sought values of each component of the system are determined. The origins of the searched values are determined numerically, after which numerical results on the stress on the fluid and plate interface planes are presented and discussed. These results are obtained for the case where PZT-2 is chosen as the piezoelectric material, steel and aluminum as the elastic metal materials, and Glycerin as the fluid. Analysis of these results allows conclusions to be drawn about the character of the problem parameters on the frequency response of the interfacial stress. In particular, it was found that after a certain value of the vibration frequency, the presence of the metal layer in the two-layer plate led to an increase in the absolute values of the above interfacial stress.

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Section: Introductionmentioning

confidence: 95%

“…Using the expressions in ( 37), ( 40), ( 8), (7), and ( 6), the following expressions are obtained for the quantities related to the fluid flow:…”

Section: Determination Of the Fourier Transforms Of The Quantities Re...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vibration of a Two-Layer “Metal+PZT” Plate Contacting with Viscous Fluid

Kuzeci¹,

Akbarov²

2023

Computers, Materials &Amp; Continua

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“…Akbarov, M.I. Ismailov where the motion of the plate is described by three‐dimensional linearized equations of wave propagation in elastic bodies with initial stresses, and the liquid flow is described with linearized Navier‐Stokes equations. The problems of non‐linear oscillations of plates moving in an ideal incompressible liquid were studied in works [].…”

Section: Introductionmentioning

confidence: 99%

Free and forced bending vibrations of a thin plate in a perfect compressible fluid with energy dissipation taken into account

et al. 2020

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A refined statement of stationary dynamic acoustoelasticity problems of thin isotropic plates surrounded from both sides by acoustic media assumed to be perfect compressible fluids has been studed. The problem statement takes into account the energy dissipation in the material of the plate and fluid on the basis of the Kelvin-Voigt hysteresis model. The refinement of the fluid behavior is based on the assumption that the pressure increment is proportional not only to volumetric strain, but also to the rate of its volumetric strain. This assumption allows us to obtain the generalized Helmholtz wave equation by introducing Skudrzyk's complex sound velocity into consideration to take account of the energy dissipation. The motion equations of the plate are based on the classical Kirchhoff-Love model and are obtained in two versions. In the first version unsimplified three-dimensional wave equations are used to determine the aerohydrodynamic load acting on a plate. The second version is based on simplifying the equations of fluid motion by the introduction of the well-known hypothesis of plane reflection and emission of sound waves. On the basis of the derived equations, exact analytical solutions of two types of problems are obtained. The first type is related to the problem of free vibrations of a rectangular plate hinged around the contour when complex eigenfrequencies were defined. The second type is related to the problem of forced vibrations of the plate under the action of a flat mono-harmonic incident sound wave when sound transmission loss, the stress-strain state parameters of the plate as well as the laws of change in sound pressure in a fluid were determined. It is shown that correct and more meaningful solutions of acoustoelasticity problems of the considered class are possible only in case of describing the behavior of a fluid with unsimplified three-dimensional wave equations with consideration of the energy dissipation. K E Y W O R D Sacoustoelasticity problems, complex oscillation frequency, complex sound velocity, energy dissipation, free and forced vibrations, generalized Helmholtz equation, Kelvin-Voigt model, perfect compressible fluid, plate, sound pressure, sound transmission loss

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