Complete band gaps of a two-dimensional periodic cylinder sandwich panel

Complete band gaps (BGs) of a novel two-dimensional periodic cylinder sandwich panel are investigated. Finite element method and Bloch theory are used to study the acoustic wave dispersion relations and eigenmodes. The effects of geometrical parameters of a cylinder on BGs are also given. Results show that three broadband BGs occur in dispersion relations; the starting frequency of the first BG is sensitive to the height of the cylinder, and other frequencies except the starting frequency of the first BG are sensitive to the radius of cylinder; BGs and the parameter sensitivity are also explained with eigenmodes.