Inter-wire Stress Analysis And Fatigue Life Prediction Of Hoist Wire Rope

In the vertical shaft lifting process,the steel wire rope is the key component for the normal operation of the equipment.During the operation,the steel wire rope will be damaged to varying degrees,mainly including the friction and wear between the steel wires and the fatigue damage,and even the broken wire phenomenon may occur,resulting in a decrease in the bearing capacity of the steel wire rope.In the deep well lifting,the mechanical properties of the strands are more demanding.Therefore,in order to ensure the safety,this paper studies the wire stress and fatigue characteristics of the wire rope with the 6×19+FC-2b mine wire rope as the carrier.The main contents are as follows:According to Costello's wire rope elasticity theory,the calculation method of tensile stress of simple straight strands and spiral strands is derived.It is concluded that the farther the strands in the strands are from the core,the smaller the tensile stress is;Based on the Hertz's contact theory,the calculation formula of the contact stress and contact area of the crossed steel wire is derived.It is found that the contact stress between the steel wires increases parabolically with the increase of the contact pressure.When the contact line length is 0-2mm,the contact stress decreases sharply.After that,it remains basically unchanged.The finite element method is used to analyze the stress of the strands.The three-dimensional model of the strands is established according to the spiral equation of the inner steel wire,and the linear incremental load is loaded by the coupling constraint at both ends of the strand.The results show that there are coupling constraints at both ends of the strand.The stress is symmetrically distributed on the middle section of the strand.The stress on the simple straight strand core is the largest and the distribution is uniform,and the inner layer stress becomes smaller.The distribution is uneven,the outer wire has the smallest stress and the distribution is uneven.For the spiral strands,the stress between the adjacent strands and the strands and between the filaments is larger.A two-wire cross-contact micro-element model was established,and the stress and deformation at the contact point were studied with the intersection angle and friction coefficient as parameters.The results show that when the crossing angle is 0°(line contact),the contact area is rectangular,the contact stress is symmetrically distributed,and the stress from the contact point to both sides gradually decreases.With the increase of the intersection angle,the contact area has an elliptical shape and contacts.The stress increases gradually.With the increase of friction coefficient,the contact stress decreases.When the friction coefficient is 0-0.12,it decreases linearly,0.12-0.24 linearly increases,then linearly decreases;and as the friction coefficient increases,The deformation of the contact area showed a linear downward trend.The finite element method is used to analyze the tensile fatigue of the strands.In the vertical shaft lifting,the deeper the strands of the mine are subjected to the larger amplitude of the alternating stress,so the depth of the mine is simulated by changing the amplitude of the alternating stress.The results show that the life of the steel wire in the direction of tanning is spatially spiral,the life of the indirect contact between the strand and the strand is the smallest,and the contact point between the strand and the core is also the lower life;as the amplitude of the stress increases,the rope The fatigue life of the strands is reduced.Therefore,the deeper the strands in the mine are subjected to more serious damage;the experimental verification results are consistent with the simulation results,which proves the accuracy of the simulation.Figure [62] Table [19] Reference [71]...