Dynamic stability analysis of a flexible plate moving in a parallel flow

The dynamic stability of a flexible plate subjected to a parallel flow is investigated when it moves into a flowing . As the flexible flat plates, the papers in a high speed printing machine, the papers discharged by a paper machine, and the thin plastic film, the fluttering flag and the oscillating doom roof caused by wind 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 flat plate which is supported simply at both ends is derived into consideration with the added mass, added damping and added stiffness respectively. In addition, the effects of the tension acting the flexible plate, the moving velocity of a plate and the fluid velocity respectively are also included into the coupled equation of motion. The eigenvalue analysis is performed for the dynamic stability analysis. Changing the velocities of a plate and a fluid, the specifications of a plate as parameters study, the effects of these parameters on the dynamic stability of a plate are investigated. Moreover, it is found this solution shows a good agreement with the already reported experiments in which the flexible flat plate is a paper. © 2013 The Japan Society of Mechanical Engineers.