Phononic Lattices and Time-Varying Parameters
54º Congreso Español de Acústica — Tecniacústica 2023
Abstract
The propagation of linear and nonlinear waves (phonons) in finite 1-D lattices with different interaction potentials is numerically studied. These potentials are elastic linear potentials (the classical mass-spring system), and Coulomb-type potentials (nonlinear magnetic coupling). To excite the waves in the lattice, harmonic driving at the boundary is considered. We show the presence of different modes as higher harmonics and sub-harmonics, induced by the nonlinearity of the system. The study is also focused on the influence of the time dependence of lattice parameters (mass and coupling strength) in the mode excitation. This analysis of time varying lattices is performed for a simple mass-spring system, and reveals novel features of wave phenomena characteristic of discrete systems.