2015
DOI: 10.1177/1077546315601299
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The forced vibration of the system consisting of an elastic plate, compressible viscous fluid and rigid wall

Abstract: The forced vibration of the system consisting of a pre-stressed elastic plate, barotropic compressible Newtonian viscous fluid and rigid wall is considered. The space between the plate and rigid wall is filled by the fluid. It is assumed that the forced vibration is caused by the lineally-located time-harmonic force acting on the free face plane of the plate. The motion of the plate is written by utilizing the exact equations of elastodynamics, but the motion of the compressible viscous fluid is described by t… Show more

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Cited by 13 publications
(24 citation statements)
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“…The numerical results, which are discussed below, relate to the normal stress T22 acting on the interface plane between the fluid and plate and to the velocity v 2 of the fluid on the interface plane in the direction of the Ox2-axis. The investigations carried out in the works by Akbarov and Ismailov (2014a, 2015a, 2015b) show that the values of T22 and v 2 obtained in the cases where the fluid is modeled as viscous are comparable with the corresponding ones obtained in the case where the fluid is modeled as inviscid. These investigations also show that the values of v1 (i.e.…”
Section: Numerical Results and Discussionmentioning
confidence: 61%
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“…The numerical results, which are discussed below, relate to the normal stress T22 acting on the interface plane between the fluid and plate and to the velocity v 2 of the fluid on the interface plane in the direction of the Ox2-axis. The investigations carried out in the works by Akbarov and Ismailov (2014a, 2015a, 2015b) show that the values of T22 and v 2 obtained in the cases where the fluid is modeled as viscous are comparable with the corresponding ones obtained in the case where the fluid is modeled as inviscid. These investigations also show that the values of v1 (i.e.…”
Section: Numerical Results and Discussionmentioning
confidence: 61%
“…Up to now, investigations of the dynamics of hydro-viscoelastic systems have been almost completely absent. However, investigations of problems related to the corresponding hydro-elastic systems have developed quite well and a detailed review of them was made in the papers by Akbarov and Ismailov (2015a, 2015b). Nevertheless, here we also briefly review them and begin with the paper by Lamb (1921) in which a circular elastic “baffled” plate in contact with still water was studied by employing the so-called “nondimensional added virtual mass incremental” (NAVMI) method.…”
Section: Introductionmentioning
confidence: 99%
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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%