A combined transfer matrix and analogue beam method for free vibration analysis of composite beams

In this paper, an exact dynamic field transfer matrix for free vibration analysis of composite beam is presented. The analysis of composite beams is carried out using a combination between the transfer matrix and the analog beam methods (TMABM). A composite beam is composed of an upper slab and a lower beam, connected at the interface by shear transmitting studs. The theory of analogue beam includes the coupling between the bending and torsional modes of deformation, which is usually present in laminated composite beams due to ply orientation. The application of this method is demonstrated by investigation of the free vibration characteristics of a composite beam for which some comparative results are available. The method developed in this paper can mainly be applied in the field of dynamic analysis of composite bridges. Although, the method is complicated, it is more accurate and could prove to be a good tool for design purposes.