Nonlinear Tunability of Elastic Waves in One-Dimensional Mass-Spring Lattices Attached with Local Resonators

Vibration propagates in the form of elastic waves. The tuning waves is great significance for vibration and noise reduction. metamaterials (EMs), which can effectively prohibit wave propagation band gap frequency range, have been widely studied. However, once structures EMs are determined, also determined. In this paper, a discrete nonlinear metamaterial proposed. harmonic balance method used to derive dispersion relation combined with Bloch’s theorem. low near linear natural local resonators obtained. theoretical results show that nonlinearity will change starting ending frequencies gap. addition, amplitude influence This means be changed achieve tunability metamaterials. Finally, verified by numerical simulation, good agreement each other.