Dynamic forces in a load-bearing rope with supports at different levels under sudden changes in technological load

The dynamic forces in the carrying rope of a temporary suspension 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 is developed which considers rope rigidity, system mass, and span geometry and is based on a differential equation of rope vibrations with consideration of initial conditions specific to each scenario. Analytical expressions are obtained to calculate maximum rope deflection, acceleration, and tension. Relationships are established between dynamic loads and system parameters. 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.