The flutter analysis of an infinitely long orthotropic panel in a rectangular duct

Abstract

The aeroelastic stability of an orthotropic panel in a duct with rectangular cross section is examined. The panel extends along the flow direction in the duct which is infinite in length. The panel vibration is modeled by linear plate theory and the flow in the duct is modeled by the compressible linearized potential theory. The panel is placed in the mid‐section of the duct and is simply supported at the sides. The material of the panel is assumed to be orthotropic. This would model, for example, unidirectional fibers placed in an isotropic plate, either along or perpendicular to the flow direction. An analytical solution is given for the eigenvalues of the panel vibration and results are presented for a range of parameters in the problem.

Vibrations of an infinite plate placed in a circular channel containing fluid flow

“…The problem considered here is similar to the one in Epstein et al (1995), who studied the vibrations of a plate placed in a rectangular channel by linearizing the compressible potential equation. A variant of this problem in which the plate is anisotropic was solved by Korbahti and Uzal (2004). The case in which the walls of the channel vibrate under the effect of fluid flow was considered by Kapkin and Uzal (2005).…”

Vibrations of an Anisotropic Plate Under Fluid Flow in a Channel

“…This problem might model an idealization of the intake duct of a scramjet, intakes of next generation hypersonic thrusters, and many other types of duct flow encountered, for example, in nuclear power plants (Epstein et al, 1995). The case of an anisotropic, specially orthotropic plate was treated by Körbahti and Uzal (2004), again using the Galerkin method.…”