Multi-position metamaterial switch enables adjustable bandgaps for guiding elastic waves

In this paper, we present a computational investigation into the dynamic behavior of a tunable multi-position metamaterial switch. We examine the dynamical characteristics of the metamaterial switch, which can transition between positions ranging from state 0 to state 5. Each state corresponds to fixed, stable bandgaps, and the switch does not require external stimuli to maintain its properties. By adjusting the position of the switch, we can effectively modify the location of complete bandgaps, allowing for precise control over the propagation of elastic waves. We demonstrate the utility of the proposed metamaterial switch by enabling wave-guiding capabilities and achieving tunable multiplexing across different frequencies. In addition, we expand the analysis by combining multiple unit cells into supercells with varying configurations, enabling further tuning of dispersion characteristics and bandgap properties. The presented design principles can be applied to various applications in elastic wave manipulation and vibration isolation.