Wavenumber-space band clipping in nonlinear periodic structures

In weakly nonlinear systems, the main effect of cubic nonlinearity on wave propagation is an amplitude-dependent correction dispersion relation. This phenomenon can manifest either as a frequency shift or wavenumber depending whether excitation prescribed initial condition boundary condition, respectively. Several models have been proposed to capture shifts observed when system subjected harmonic excitations. However, these are not compatible with excitations, which represent conditions encountered in most practical applications. To overcome this limitation, we present multiple scales framework analytically experienced by relation monatomic chains under We demonstrate that result unusual effect, term wavenumber-space band clipping. then extend locally-resonant periodic structures explore implications bandgap tunability. show tuning capability available if deployed internal springs supporting resonators.