An analytical solution to the aeroelastic response of a two-dimensional elastic plate in axial potential flow

This paper presents a novel analytical model that predicts the two-way coupled aeroelastic response of a linear elastic plate in axial potential flow, including the effects of plate curvature. The plate deforms in dynamic balance of the inertia, elastic, and aerodynamic forces. Analytical solutions are obtained by deriving the generalized aerodynamic force with respect to the beam eigenfunctions, which are expressed in a Chebyshev polynomial expansion. Exact expressions are derived for the generated lift, thrust and required input power. The derived solution agrees well with the results reported in the literature for plate flutter and flapping wings.

INVESTIGATION OF THE NONLINEAR FLUTTER OF VISCOELASTIC PLATES IN A SUPERSONIC FLOW

In this paper the flutter of nonlinear viscoelastic plates in a supersonic flow is investigated. The basic direction of work is consisted in taking into account of viscoelastic material’s properties at supersonic speeds. Quasi-steady aerodynamic panel loadings are determined using piston theory. The vibration equations relatively of deflection are described by Integrо-differential equations in partial derivatives. The plate nonlinear partial integro-differential equation is transformed info a set of nonlinear ordinary IDE through a Bubnov-Galerkin’s approach. The resulting system of IDE is solved through the Badalov-Eshmatov integration method. Critical speeds for plate flutter are defined.

Flutter Analysis of Viscoelastic Sandwich Plate in Supersonic Flow

In this work is investigated the flutter of viscoelastic sandwich plate streamlined by gas current. The basic direction of work is consisted in taking into account of viscous-elastic material’s properties at supersonic speeds. The vibration equations relatively of deflection are described by Integro-Differential Equations (IDE) in partial derivatives. By Bubnov-Galerkin methods reduced the problems to investigation of system of ordinary IDE. The IDE are solved by numerical method, which based on using of quadrature formula. Critical speeds for sandwich plate flutter are defined.