Nonlinear sway and active stiffness control of long moving ropes in high-rise vertical transportation systems

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Abstract

In this paper a model to describe the lateral dynamic behaviour of long moving ropes employed in high-rise vertical transportation is developed. The model takes into account the fact that the longitudinal elastic stretching of the ropes is coupled with their transverse motions (sway) which results in cubic nonlinear terms. The governing non-stationary nonlinear equations are solved numerically to investigate the passage through resonance conditions arising during the system operation. The active stiffness control of transverse vibrations of the ropes is discussed. This involves the application of a longitudinal action at the rope end. The results of numerical simulation tests demonstrate the ability of multimodal active control to reduce non-linear low frequency sway of the ropes during and after the passage through resonance.
Original languageEnglish
Title of host publicationVibration Problems ICOVP 2011: The 10th International Conference on Vibration Problems
EditorsJ Náprstek, J Horáček, M Okrouhlík, B Marvalová, F Verhulst, J T Sawicki
Place of PublicationDordrecht; Heidelberg; London; New York
PublisherSpringer
Pages183-188
Number of pages6
Volume139
ISBN (Electronic)9789400720695
ISBN (Print)9789400720688, 9789402405545
DOIs
Publication statusPublished - 1 Jan 2011

Publication series

NameSpringer Proceedings in Physics

Keywords

  • Nonliner sway
  • Vertical transportation
  • Cubic nonlinear terms
  • Active stiffness control
  • Longitudinal action

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