Nonreciprocal transmission of nonlinear elastic wave metamaterials by incremental harmonic balance method

Based on the granular diatomic lattice chain model, the band gap properties and nonreciprocal transmission of elastic wave metamaterials with the nonlinearity are studied. Extending the incremental harmonic balance (IHB) method to the nonlinear elastic wave, the traditional approach for the nonlinear periodic structures is improved. The influences on the band gap properties are discussed and the diode phenomenon can be observed. Then the nonreciprocal transmission of elastic wave metamaterials is realized. Both the theoretical and numerical results are presented to show the band gap structure and nonreciprocal phenomenon. And the experiments are performed to support these predictions. This study is expected to extend the applications of phononic crystals and elastic wave metamaterials with nonlinear properties.