Figure 1

Theoretical dispersion relation for an infinite array of beams [Colquitt 2016]. (a) Dispersion curves obtained ignoring beam flexural resonance effects. (b) Dispersion curves with flexural resonance effects. (c) Cell dimensions and properties: Lattice constant a = 2 cm; beam length L = 0.61 m; beam diameter db = 5.5 mm; plate stiffness h = 2 mm; and aluminum for the material (E = 69 GPa, nu = 0.33).