具有紧凑局域态的非奇异平带晶格的增强灵敏度和波-结构相互作用

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-08-11 DOI:10.1016/j.jsv.2025.119369

Emanuele Riva, Jacopo Marconi, Francesco Braghin

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引用次数: 0

摘要

本文研究了一维平带弹性晶格中紧致局域模态的动力学。平坦色散产生于相邻元素之间的相消干涉，导致所有动量上的群速度为零。这种独特的条件使得波模的形成不仅在空间上高度局域化，而且固有的非传播性（受色散关系的平直性保护），而且由于波-结构相互作用的增强，对结构变化也异常敏感。这些特征首先在一个简单的弹簧质量晶格上进行了探索，后来应用于微机电（MEMS）系统的振荡器。通过探索平带色散在力学中的作用，本工作为其基本动力学提供了新的见解，同时为振动控制和机械结构灵敏度分析的应用开辟了新的机会。

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Enhanced sensitivity and wave-structure interaction in nonsingular flat-band lattices with compact localized states

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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来源期刊

Journal of Sound and Vibration 工程技术-工程：机械

CiteScore

9.10

自引率

10.60%

发文量

551

审稿时长

69 days

期刊介绍： The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.