ON THE AXİSYMMETRİC FORCED VIBRATION OF THE HYDROELASTIC SYSTEM CONSISTING OF A PRE-STRAINED HIGHLY ELASTIC PLATE and COMPRESSIBLE VISCOUS FLUID

D.Akbarov S., Imamalıyeva J. N.

23. ULUSAL MEKANİK KONGRESİ BİLDİRİLER KİTABI, cilt.1, sa.1, ss.623-634, 2023 (Düzenli olarak gerçekleştirilen hakemli kongrenin bildiri kitabı)

Özet

The present work studies the axisymmetric forced vibration of the hydro-elastic system consisting of the plate of a highly elastic material with finite initial strains, compressible barotropic viscous fluid, and rigid wall. In the context of this study, the motion of the plate is described with the equations and relations of the three-dimensional linearized theory of elastic waves in elastic bodies with finite initial strains, however, the flow of the fluid is described with the linearized Navier-Stokes equations. It is assumed that on the plate the point-located timeharmonic force acts and it is required to determine the frequency response of the interface stress and velocity. The solution to the corresponding boundary-value problem is found by employing the Hankel integral transform. Originals of the sought values are found numerically by employing calculation algorithm and PC programs composite by authors. Some numerical results on the frequency responses of the interface stress and velocity are presented and discussed. According to these results, in particular, it is established that the initial stretching of the plate leads to a decrease in the absolute values of the interface stress and velocity.