抄録
The stability of a flexible cantilevered plate subjected to parallel flow is investigated. As the flexible flat plates, the papers in a high speed printing machine, the thin plastic and metal films, the fluttering flag and the oscillating doom roof are enumerated. The fluid is assumed to be treated as an ideal fluid in a subsonic domain, and the fluid pressure is calculated using the velocity potential theory. The coupled equation of motion of a flexible cantilevered plate is derived into consideration with the added mass, added damping and added stiffness respectively. The complex eigenvalue analysis is performed for the stability analysis. In order to consider the accuracy of dynamic stability analysis, stability analysis method using unsteady oscillating wing theory are performed. This method replaces the vibration of the flexible flat plate with the circulation. When that flat plate vibrates unsteadily, the circulation is discharged from the trailing edge. In addition, This method fulfills Kutta condition that the flow velocity must be finite at the trailing edge of the flat plate. By comparing this method with two kinds of methods based on noncirculatory aerodynamics theory and circulatory aerodynamics theory which were previously examined by Fujita and Matsumoto, the validity and superiority or inferiority of the solution is investigated. The solution of oscillating wing theory and circulatory aerodynamics theory are comparatively well matched regardless of the mass ratio. The solution of noncirculatory aerodynamics theory are different from those solutions.
