Abstract
This paper presents an FE-based elastic wave transmission analysis method for composite layers consisting of different periodicities. In particular, problems in which the ratio of lattice constants of both composite arrays is given by a rational number are considered. Under this condition, by the aid of the Floquet transform, the present problem is reduced to a dynamic response of a unit cell representing each periodic layer. The developed method is applied to wave transmission through composite layers formed by circular inclusions. Numerical results showed that a combination of composites having different stop bands contributes to the vibration attenuation.
