Gyro-elastic beams for the vibration reduction of long flexural systems

Author:

Carta G.1ORCID,Jones I. S.1,Movchan N. V.2,Movchan A. B.2,Nieves M. J.1

Affiliation:

1. Liverpool John Moores University, Mechanical Engineering and Materials Research Centre, Liverpool, L3 3AF, UK

2. University of Liverpool, Department of Mathematical Sciences, Liverpool, L69 7ZL, UK

Abstract

The paper presents a model of a chiral multi-structure incorporating gyro-elastic beams. Floquet–Bloch waves in periodic chiral systems are investigated in detail, with the emphasis on localization and the formation of standing waves. It is found that gyricity leads to low-frequency standing modes and generation of stop-bands. A design of an earthquake protection system is offered here, as an interesting application of vibration isolation. Theoretical results are accompanied by numerical simulations in the time-harmonic regime.

Funder

H2020 European Research Council

Engineering and Physical Sciences Research Council

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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