Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:D2L-B
Session:
Number:D2L-B-02
Modeling of Dynamics of Nonlinear Wave Propagation in Phononic Crystals
Jun Takayanagi , Yusuke Doi , Akihiro Nakatani,
pp.626-629
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
We construct a nonlinear lattice model in order to investigate the dynamics of nonlinear behavior in phononic crystals (PnCs). Two types of mass points and springs are introduced in the model to represent the difference in material properties between the scatterers and background in PnCs. The nonlinearity is introduced to the model by changing the mass of each mass point in response to the displacement of the mass points. In linear regime, the existence of band gap in the 1D and 2D model is confirmed. Moreover, in the 1D nonlinear model, switching behavior of wave propagation is found.