Passive vibration control using a metaconcrete thin plate

Abstract

Abstract We investigated the band structure of flexural waves propagating in a metaconcrete thin plate, consisting of a concrete matrix reinforced by steel inclusions coated by rubber in square and triangular lattices. We considered the classical Kirchhoff-Love thin plate theory. We also studied the influence of inclusion geometry - circular, square and rotated square with a 45° angle of rotation with respect to the x, y axes. Improved plane wave expansion method was used to solve the wave equation considering flexural wave propagation in the xy plane. Flat bands and locally resonant band gaps were observed for all types of inclusion studied regarding square and triangular lattices. The locally resonant band gaps for square and rotated square inclusions in a triangular lattice were slightly shifted to higher frequencies than that given by circular inclusion. We suggest that the metaconcrete thin plate studied should be feasible for flexural vibration control in low frequencies.

Keywords

• metaconcrete
• thin plate theory
• locally resonant band gaps
• flexural vibration control
• improved plane wave expansion method