Dynamic behavior of a sandwich beam with internal resonators

A sandwich beam with embedded internal resonators was studied. Two continuum Timoshenko beam models were employed to model the sandwich beam. One model treats the resonators as continuously distributed mass and the other with an effective mass density. Both models appear to describe the dispersion behavior and the bandgap structure of the original sandwich beam accurately. It was found that the local resonance frequency of the resonator is the key in determining the bandgap location. Numerical examples were presented to demonstrate the dynamic behavior of the sandwich beam including the attenuation and filtering of flexural waves with frequencies near the resonance frequency of the embedded resonators.