Abstract
Using the mass of time-varying length balance rope focused on the hoisting conveyance, the coupling longitudinal-transverse model of mine friction hoist was established by using of the Hamilton’s principle. The modified Galerkin’s method was used to discretize partial differential Eqs. The mine hoisting system was used to the example to analysis the relation between the load, velocity and transverse vibration of rope. The in situ tests were illustrated to evaluate the proposed mathematical model. The results showed that the modeling method can well represent the transverse vibration of rope.
Highlights
Due to their ability to resist relatively large axial loads, ropes have been widely used in many different applications to support structures, conduct signals, and carry payloads
Using the mass of time-varying length balance rope focused on the hoisting conveyance, the coupling longitudinal-transverse model of mine friction hoist was established by using of the Hamilton’s principle
The mine hoisting system was used to the example to analysis the relation between the load, velocity and transverse vibration of rope
Summary
Due to their ability to resist relatively large axial loads, ropes have been widely used in many different applications to support structures, conduct signals, and carry payloads In this latter application, cables have played a vital role in the vertical transport systems such as elevators (Zhu and Ni 2000; Zhu et al 2001; Zhu and Chen 2005; Zhang 2007), cranes and mine friction hoists (Kaczmarczyk and Ostachowicz 2003a; Sandilo and van Horssen 2014). The hoist ropes form vertical ropes connecting the friction wheel and conveyances This configuration exhibits variable-length and transport speed during operation. To master the impact dynamical behaviors of the hoisting rope during the skip loading, the mechanical model of the coupled longitudinal-torsional vibration for hoisting rope were built by Cao (2010). The in situ tests were performed to evaluate the proposed mathematical model
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