Finite Element Modeling and Frequency Response of a Flexible Rotating Plate

Abstract

In this paper, the finite element modeling of a flexible rotating plate, in consideration of both the bending vibration and the rotating motion, is presented. The frequency responses of the system consisting of the flexible rotating plate and the rotating axis with a torsinal spring and damper are investigated. In the finite element modeling of the rotating flexible plate, the element mass matrix of the rectangular plate element modeling of the rotating flexible plate, the element mass matrix of the rectangular plate element modeling of the rotating flexible plate, the element mass matrix of the rectangular plate element is formulated by use of the shape function derived by Melsoh. This element mass matrix, consists of three parts that correspond to the bending vibration, the interaction between the bending vibration and the rotating motion, and the moment of inertia. By using the element mass matrix, the equation of motion is obtained. Furthermore, the effects of the rigidity of the torsional spring on the frequency responses are demonstrated.