Effect of Moment of Inertia of Attached Mass on Natural Frequencies of Cantilevered Symmetrically Laminated Plates

Abstract

Since composite materials such as laminated composite plates have high specific strength and high structural efficiency, they have been used
in many structural applications. It is therefore very important to make clear the vibration characteristics of the laminated plates for the design
and the structural analysis. Especially, the vibration characteristics of the laminated plates with attached mass are essential. However, we
cannot find the theoretical or experimental approaches for the free vibration of laminated plates with attached mass. In the present study, the
experimental and numerical approaches are applied to the free vibration of cantilevered symmetrically laminated plates with attached mass.
First, by applying the experimental modal analysis technique to the cantilevered symmetrically laminated plates with attached mass, the
natural frequencies and mode shapes of the plates are obtained. Next, the natural frequencies and mode shapes of the cantilevered
symmetrically laminated plates with attached mass are calculated by Finite Element Method (FEM). Finally, from the experimental and
numerical results, the effect of the moment of inertia of the attached mass to the natural frequencies and mode shapes of the cantilevered
symmetrically laminated plates are clarified.