Vibrations of an anisotropic plate under fluid flow in a channel


Korbahti B. , Uzal E.

JOURNAL OF VIBRATION AND CONTROL, cilt.13, ss.1191-1204, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 8
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1177/1077546307076897
  • Dergi Adı: JOURNAL OF VIBRATION AND CONTROL
  • Sayfa Sayıları: ss.1191-1204

Özet

An analytical solution is given for the eigenfrequencies of the vibrations of a generally orthotropic plate placed in a rigid channel of rectangular cross section through which fluid flows. The fluid flow, assumed to be inviscid, compressible and non-steady, is modeled using a linearized potential equation. The plate is simply supported along the channel and extends indefinitely; its vibrations are also assumed to be linear. The resulting system of partial differential equations are simplified assuming a travelling wave mode along the plate. The problem is reduced to a single integro-differential equation and solved analytically to obtain an algebraic eigenvalue equation relating travelling wavespeed to wavelength and the velocity of fluid flow. It is found that, for the case of a composite plate within a duct, placing the strengthening fibers perpendicular to flow direction increases the minimum velocity at which the unstable oscillations will occur in most cases.