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Coupled Systems Mechanics
  Volume 8, Number 3, June 2019 , pages 199-218

Forced vibration of the hydro-elastic system consisting of the orthotropic plate, compressible viscous fluid and rigid wall
Surkay D. Akbarov and Tarana V. Huseynova

    This paper studies the forced vibration of the hydro-elastic system consisting of the anisotropic (orthotropic) plate, compressible viscous fluid and rigid wall within the scope of the exact equations and relations of elastodynamics for anisotropic bodies for describing of the plate motion, and with utilizing the linearized exact Navier-Stokes equations for describing of the fluid flow. For solution of the corresponding boundary value problem it is employed time-harmonic presentation of the sought values with respect to time and the Fourier transform with respect to the space coordinate on the coordinate axis directed along the plate length. Numerical results on the pressure acting on the interface plane between the plate and fluid are presented and discussed. The main aim in this discussion is focused on the study of the influence of the plate material anisotropy on the frequency response of the mentioned pressure. In particular, it is established that under fixed values of the shear modulus of the plate material a decrease in the values of the modulus of elasticity of the plate material in the direction of plate length causes to increase of the absolute values of the interface pressure. The numerical results are presented not only for the viscous fluid case but also for the inviscid fluid case.
Key Words
    compressible viscous fluid; anisotropic plate; interface pressure; forced vibration; hydro-elastic system; fourier transform
Surkay D. Akbarov: 1.) Department of Mechanical Engineering, Yildiz Technical University 34349, Besiktas, Istanbul, Turkey
2.)Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan,
AZ1141, Baku, Azerbaijan

Tarana V. Huseynova: Ganja State University, Ganja, Azerbaijan

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