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<p>The dynamic forces in the carrying rope of a&#xa0;temporary hoisting system with elastic supports located at different levels are investigated. The study focuses on typical operating modes of the system: choker breakage, detachment of a&#xa0;frozen load, load arrest, and load impact on the rope. A&#xa0;mathematical model has been developed, which considers rope rigidity, system mass, span geometry, and is based on a&#xa0;differential equation of rope vibrations with consideration of initial conditions specific to each scenario. Analytical expressions have been obtained to calculate maximum rope deflection, acceleration, and tension. Relationships between dynamic loads and system parameters have been established. It is shown that in some operating modes, dynamic forces significantly exceed static ones. Theoretical results are validated by experimental data. The derived expressions can be used to improve the accuracy and safety of cable system design.</p>

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Dynamic forces in a carrying rope with supports at different levels during an instantaneous change of the technological load

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • T. I. Sliepko,
  • O. V. Dykha,
  • P. V. Kaplun,
  • I. V. Drach,
  • R. T. Sliepko,
  • R. Ya. Luzhetskyi

摘要

The dynamic forces in the carrying rope of a temporary hoisting system with elastic supports located at different levels are investigated. The study focuses on typical operating modes of the system: choker breakage, detachment of a frozen load, load arrest, and load impact on the rope. A mathematical model has been developed, which considers rope rigidity, system mass, span geometry, and is based on a differential equation of rope vibrations with consideration of initial conditions specific to each scenario. Analytical expressions have been obtained to calculate maximum rope deflection, acceleration, and tension. Relationships between dynamic loads and system parameters have been established. It is shown that in some operating modes, dynamic forces significantly exceed static ones. Theoretical results are validated by experimental data. The derived expressions can be used to improve the accuracy and safety of cable system design.