Vibration Analysis of Laminated Composite Plates Carrying Rotating Circular Mass

In this paper, the free vibration response of a laminated composite rectangular plate supporting a rotating circular patch mass is studied. The two variables refined plate theory which has the number of unknown functions involved is only four, as against five in case of other simple shear deformation theories, is applied to define the third order displacement field of a composite rectangular plate. The plate is considered to have simply supported boundaries. The first variation of the Lagrangian (Hamilton’s principle) is used to obtain the equations of motion for the rectangular plate. Due to the significance of fundamental frequency of the plate, its variation with respect to the non-dimensional geometrical parameters such as aspect ratio of the plate, size, location and angular velocity of the rotating patch mass, is investigated. It will be shown herein that the proposed theory is simple in solving the free vibration problems of plates with patch masses.