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

Stefan Kaczmarczyk, Philip Picton

Research output: Contribution to Book/ReportChapterpeer-review

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. A mathematical model comprising nonstationary nonlinear ordinary differential equations is used to describe the dynamic behaviour of the system equipped with a multi-modal active stiffness controller. The active control is implemented by an axial motion of the support which results in substantial reduction of the response
Original languageEnglish
Title of host publicationProceedings of the 18th International Congress on Sound and Vibration
Editors Malcolm J Crocker, Nickolay Ivanov, Marek Pawelczyk
Place of PublicationRio de Jainero, Brazil
PublisherCurran Associates Inc
Pages2767-2774
Number of pages8
ISBN (Print)9781618392596
Publication statusPublished - 1 Jan 2012

Keywords

  • Nonlinear responses
  • Active stiffness control
  • Moving slender continua
  • Dynamic loadings
  • Vertical host structure
  • Sound
  • Vibration

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