Leakage Flow Induced Sheet Flutter Analysis Using Discretized Beam Elements.

Abstract

In this paper, sheet flutter in a narrow passage caused by fluid-structure interaction is studied. The sheet is considered as a combination of mass less beam elements, springs and discrete mass particles, in which the mass of each particle and spring coefficient are calculated based on the beam model. Equation of motion of the system is obtained by the calculation of fluid-dynamic and frictional forces acting on each element vibrating around its equilibrium point. The linearized equation of motion results in an eigenvalue analysis. In particular, we consider the fluctuating flow rate at the inlet as a new variable to eliminate frequency dependency on the coefficients of the characteristic equation. Therefore, the eigenvalue can be obtained directly from characteristic function without iteration by this method. Then, calculated results were compared with previously reported experimental results and the validity of the proposed method is verified.