Research On Tension Distribution Of Wire And Friction Force Between Wires In Wire Rope

As a kind of high-strength flexible component,steel wire rope has good bearing capacity,so it is widely used in industry,mining and transportation and other fields.Because of the complicated structure of the steel wire rope,the force of steel wire in the strand is also very complicated,especially when the steel wire rope bends through the pulley,the force of each steel wire is more complicated,the tension of each steel wire under the bending state is different.When the steel wire rope bears the load,the steel wire rope will produce a large deformation in its axial direction,and there is sliding friction force between the steel wires,under the action of friction force,stress and micro-crack initiation occur in the wear area.In actual using,the steel wire rope bents around the pulley in a circular way,which gradually reduces the fatigue life and tensile strength of the steel wire rope under the action of alternating load and friction force,serious faults such as wire rope failure.In this paper,the 1 + 6 type simple strand steel wire rope is taken as the research object,the tension of the steel wire and the friction force between the steel wires in the strand under two states of linear load and bending load are studied by the methods of theoretical analysis,experimental and finite element analysis.The mathematical equation of the center line of each steel wire in the rope strand under two kinds states of linear load and bending load were established,according to the mathematical equation of steel wire center line,the three-dimensional model of steel wire rope under two kinds states were established by using Pro/E software;The force model of outer wire was established based on the theory of cylindrical spiral spring,and the force and displacement equilibrium equation of outer and center wires was established by using the equal deformation of outer and center wires in the axial direction of the steel wire rope,the formula of friction force between outer and center wires under the state of linear load was derived.Based on Euler formula and contact mechanics,the friction force between steel wires was analyzed,and the formula of friction force between steel wires under the state of bending load was established;Through the tension experiment of steel wire,the tension of steel wire was obtained,and the friction force between steel wires was calculated;The finite element analysis model were established under two kinds state of linear load and bending load,the tension of steel wire and the friction between steel wires under two kinds states were analyzed and calculated respectively.Based on the results of finite element analysis,the tension measured by experiment and the friction force calculated by theory are compared to verify the tension value measured by experiment and the friction formula.The results show that the tension of each outer wire in the strand is equal in the linear state,the center wire bears more load than the outer wire,the center wire and the outer wire respectively bear about 18.4% and 13.6% of the axial load,the tension of center wire and outer wire increases with the increase of steel wire rope tension.The friction force on each outer wire is also equal,and its value increases with the increase of steel wire rope tension;In the bending state,the tension of steel wire and the friction between steel wires are not equal,when the contact arc length between the steel wire rope and the pulley is an integral multiple of the lay distance of the steel wire rope,the distribution difference of tension and friction force of steel wire is small in the strand,the minimum tension difference is about 98 N,and the minimum friction force difference is about 55 N.The center wire and the outer wire respectively bear about 24.4% and 12.6% of the axial load.