Coupled vibration of hoist rope with complicated operating condition

摘要

In order to provide help for designing hoist control system to avoid resonance and enhance the safety in mine or elevator hoist system, coupled vibration behavior of hoist rope was investigated with complicated boundary such as the hoist rope restricted by guide pulleys. According to Hamilton principle, the mathematical model of extensional-torsional coupled considering arbitrary concentrated-mass of guide pulleys and torsional displacement boundary condition was built. Basing on the property of step function, the mode function of hoist rope was obtained and the method of numerical solution for displacement was proposed. At last, the analytical expressions of extensional and torsional displacements were obtained by supposing that the extensional and torsional damping coefficients were same. And the coupled displacement was obtained as an application example while a cargo merged into a conveyance.