Broadband vibration suppression of nonlinear metamaterials with inertial amplification mechanism

Tianshan Ou and Lingyun Yao

Chaos, Solitons & Fractals, 2026, vol. 202, issue P1

Abstract: This study proposes a novel one-dimensional nonlinear acoustic metamaterial incorporating an inertial amplification mechanism for ultra-low-frequency and broadband vibration suppression. Unlike conventional linear metamaterials, whose bandgaps are limited in width and tunability, the proposed structure leverages both geometric nonlinearity and nonlinear spring stiffness to introduce amplitude-dependent dynamic behaviors. A two-degree-of-freedom unit cell model is constructed to capture the essential nonlinear mechanisms, and an approximate dispersion relation is derived using the harmonic balance method. The nonlinear dynamics, including invariant manifolds and nonlinear modes, are systematically analyzed to reveal the intrinsic vibration isolation capability. Furthermore, a finite periodic chain is developed and numerically simulated to evaluate wave propagation and attenuation characteristics. The results demonstrate that the nonlinear inertial amplification metamaterial not only achieves significantly enhanced vibration attenuation in ultra-low and wide frequency ranges, but also enables controllable bandgap modulation via structural parameters. Compared with traditional linear double-atom chain structures, its vibration attenuation range has been increased to 3.2 times the original, providing a new approach for achieving passive vibration isolation based on strong nonlinear inertial coupling.

Keywords: Nonlinearity; Inertial amplification; Metamaterial; Low-frequency broadband (search for similar items in EconPapers)
Date: 2026
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925015292
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925015292

DOI: 10.1016/j.chaos.2025.117516

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().