Forced Vibration Analysis of a Fibre-Reinforced Polymer Laminated Beam using the Green Function Method

This work aims to study forced vibration characteristics of Fibre-Reinforced Polymer (FRP) laminated beams with different properties, through a development of an analytical model using the Green function method. The forced vibration characteristics of a FRP laminated beam structure is generally more complex than those of a homogeneous beam structure since each layer is anisotropic with different layer having different properties. In this work, the Green function method was used to model an FRP laminated beam by dividing the beam structure into a set of sub-beam structures and utilizing the Green function to solve for the associated equation of motion. The proposed analytical model allows a more efficient parametric analysis to be done on FRP laminated beams, in contrast to using a numerical model that is more computationally expensive. The analytical model was verified through a comparison with the numerical model of FRP laminated beam. Based on the develop model, FRP laminated beams with varying properties, including the fiber orientation and the number of laminates, were studied under forced vibration, demonstrating the effectiveness of the proposed method for forced vibration analysis of the laminated beam with varying properties.