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The prediction of nonlinear responses and active stiffness control of moving slender continua subjected to dynamic loadings in a vertical host structure

Kaczmarczyk, S. and Picton, P. (2013) The prediction of nonlinear responses and active stiffness control of moving slender continua subjected to dynamic loadings in a vertical host structure. International Journal of Acoustics and Vibration. 18(1), pp. 39-44. 1027-5851.

Item Type: Article
Abstract: Slender continua such as long ropes, cables and belts are used as tension and payload-carrying members in various engineering applications. They are deployed in terrestrial mine/underground equipment and high-rise building installations through to tethered offshore tension members, tethered space satellite systems and rotating momentum exchange tethers in Earth’s orbit. The slender continua are inherently non-linear and this leads to large non-linear responses with passages through resonances taking place when the time-varying natural frequencies of the system approach the frequency of the inertial load resulting from the dynamic loadings. In this paper the lateral nonlinear dynamic behaviour of long slender continua moving at speed in a tall host structures is analyzed. The mathematical model comprising nonstationary nonlinear ordinary differential equations is used to describe the dynamic behavior of the system equipped with a multi-modal active stiffness controller. The active control is implemented by an axial motion of the support and results in substantial reduction of the response.
Subjects: T Technology > TJ Mechanical engineering and machinery > TJ1350 Hoisting and conveying machinery
Creators: Kaczmarczyk, Stefan and Picton, Philip
Publisher: International Institute of Acoustics and Vibration
Northamptonshire and East Midlands: Transport
Faculties, Divisions and Institutes: Faculties > Faculty of Arts, Science & Technology > Engineering
Date: 1 March 2013
Date Type: Publication
Page Range: pp. 39-44
Journal or Publication Title: International Journal of Acoustics and Vibration
Volume: 18
Number: 1
Language: English
DOI: https://doi.org/10.20855/ijav.2013.18.1318
ISSN: 1027-5851
Status: Published / Disseminated
Refereed: Yes
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URI: http://nectar.northampton.ac.uk/id/eprint/5250

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