Vibration analysis of laminated FRP rectangular plates resting on some elastic point supports.

Abstract

This paper presents an analytical method for determining the free vibration and the steady-state response of a laminated FRP (fiber reinforced plastic) rectangular plate resting on some elastic point supports. The bending rigidities are assumed to be complex quantities (taking into consideration material damping), and are obtained using the classical lamination theory. The Ritz approach is used to yield a governing equation of motion for the plate, and the natural frequencies, mode shapes and the steady-state response solution to a sinusoidally varying point force are derived. The method is applied to a laminated square plate elastically supported at four points symmetrically located at the corners or on the diagonal. The mechanical impedance of the plate is calculated for three types of FRP materials, and the effects of the point supports and the lamination properties upon the vibration characteristics are studied.