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Meccanica
Erschienen in: Meccanica 11-12/2018

20.06.2018

Band gap synthesis in elastic monatomic lattices via input shaping

verfasst von: H. Al Ba’ba’a, J. Callanan, M. Nouh, T. Singh

Erschienen in: Meccanica | Ausgabe 11-12/2018

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Abstract

This work describes control-theoretic methods for inducing a band gap-like behavior in elastic monatomic lattices. The dynamics of the system under consideration are derived in detail. Open-loop pre-filtering techniques, in the form of Posicast and user-selected time delay filters, are then utilized to eliminate specific frequency contents from the response of the multi-degree of freedom spring-mass chain. The input shaping approach is used to synthesize one or more band gaps in a homogenous lattice that can be designed to resemble Bragg-scattering in phononic crystals, as well as local resonance effects in acoustic metamaterials. The presence of the synthesized band gaps in the lattice’s dispersion behavior is validated using a spatiotemporal Fourier transform of the system’s impulse response as well as the frequency response of the end-to-end transfer function. Finally, an analysis of the control effort required to cancel the targeted system poles is carried out.
Vorheriger Artikel Bending of an elastoplastic Hencky bar-chain: from discrete to nonlocal continuous beam models
Nächster Artikel Towards real-time simulation of deformable structures by means of co-rotational finite element formulation

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Metadaten
Titel
Band gap synthesis in elastic monatomic lattices via input shaping
verfasst von
H. Al Ba’ba’a
J. Callanan
M. Nouh
T. Singh
Publikationsdatum
20.06.2018
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 11-12/2018
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-018-0865-8

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