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arXiv · 2412.05610

Enhanced Sensitivity and Wave-Structure Interaction in Nonsingular Flat-Band Lattices with Compact Localized States

Emanuele Riva·Jacopo Marconi·Francesco Braghin
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Abstract

This paper investigates the dynamics of compact localized modes in one-dimensional flat-band elastic lattices. Flat dispersion arises from destructive interference between neighboring elements, resulting in a zero group velocity across all momenta. This unique condition enables the formation of wave modes that are not only highly localized in space and inherently non-propagative-protected by the flatness of the dispersion relation-but also exceptionally sensitive to structural variations due to enhanced wave-structure interaction. These features are first explored on a simple spring-mass lattice and later applied to a microelectromechanical (MEMS) system of oscillators. By exploring the role of flat-band dispersion in mechanics, this work provides new insights into their fundamental dynamics while opening new opportunities for applications in vibration control and the sensitivity analysis of mechanical structures.

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Emanuele Riva, Jacopo Marconi, Francesco Braghin. 2024-12-07. Enhanced Sensitivity and Wave-Structure Interaction in Nonsingular Flat-Band Lattices with Compact Localized States. https://arxiv.org/abs/2412.05610

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