Abstract
We present a metastructure architecture with a bistable microstructure that enables extreme broadband frequency conversion. We use numerical and experimental tools to unveil the relationship between input excitations at the unit cell level and output responses at the macrostructural level. We identify soliton-lattice mode resonances resulting in input-independent energy transfer into desired metabeam vibration modes as long as transition waves are triggered within the metastructure. We observe both low-to-high and high-to-low incommensurate frequency interactions in the metabeams, thus enabling energy exchange between bands 2 orders of magnitude apart. This behavior generalizes fluxon-cavity mode resonance in superconducting electronics, providing a general method to extreme frequency conversion in mechanics. Importantly, the introduced architecture allows for expanding the metamaterials design paradigm by fundamentally breaking the dependence of macroscopic dynamics on the unit cell properties. The resulting input-independent nature implies potential applications in broadband frequency regulation and energy transduction.
Highlights
Introduction.—Solitary waves appear in various physical systems [1] playing a pivotal role in applications, including waveguiding [2], photonics [3], optical communications [4], reversible logic gates [5], lasing [6], morphing structures [7], nondestructive testing [8], and soft robotics [9]
A unique aspect of solitons is their quasiparticle characteristics. This allows for better imaging using sonic bullets [10] or dense wavelength-division multiplexing for optical communications exploiting cavity solitons [11]
Enabling nonlinear interactions similar to fluxon-cavity mode resonances exploiting the input frequency independence of transition waves offers the potential for extreme energy conversion currently absent in mechanical systems
Summary
Introduction.—Solitary waves appear in various physical systems [1] playing a pivotal role in applications, including waveguiding [2], photonics [3], optical communications [4], reversible logic gates [5], lasing [6], morphing structures [7], nondestructive testing [8], and soft robotics [9]. Enabling nonlinear interactions similar to fluxon-cavity mode resonances exploiting the input frequency independence of transition waves offers the potential for extreme energy conversion currently absent in mechanical systems. We demonstrate extreme energy exchange in mechanical systems with metabeams composed of a bistable microstructure that promotes nonlinear coupling between wave and metastructural modes in an analogous process to fluxons interacting with cavity modes in superconductors [6,12].
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