Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method

This paper deals with the vibration analysis of a three layered composite beam with a viscoelastic core. First, the equations of motion that govern the free vibrations of the sandwich beam are derived by applying Hamilton’s principle. Then, these equations are solved by using differential transform method (DTM) in the frequency domain. The variation of modal loss factor with system parameters is evaluated and presented graphically. Also, the results obtained with DTM are checked against the findings of previous studies and a good agreement is observed. It is the first time that DTM is used for the eigenvalue analysis of a sandwich structure.