Research On Geometric And Mechanical Characteristics Of Wire Rope Winding Process In Shaft Hoisting System

In recent years,with the increasing mining depth of the mine,more and more shaft hoisting systems use the double broken line drum as the driving part for multi-layer winding hoisting.This thesis takes this kind of shaft hoisting system as the research carrier,and takes the smooth and healthy operation of the hoisting system as the goal,studies the geometric characteristics of the stable winding at cross-over,tension characteristics of wound wire rope on the drum,displacement excitation characteristics in winding process,the dynamic characteristics of the lifting system and so on.The work of this thesis is as follows:(1)Based on the principle of stable filament winding and the knowledge of differential geometry and statics,this thesis studies the geometric winding shape of stable transition winding between loops of wire rope without slipping.Considering the geometric boundary conditions at the beginning and end of the transition,the differential equation representing the geometric winding shape is solved numerically,and the winding shape of stable transition winding between loops and its corresponding center angle are obtained.(2)Aiming at the multi-layer stacked wire rope on the drum,the interaction of geometric deformation and static load is studied,and the phenomenon of multi-layer winding tension reduction of the wound wire rope on the drum is quantitatively analyzed;Then,on the basis of this phenomenon,for the combination of rope end load and maximum lifting height under the limit of static tension safety condition,the stress fluctuation law in the process of wire rope winding is analyzed;The shaft hole conformal contact model is introduced to study the contact depth of the bottom wire rope and the groove,considering the mutual extrusion force of the wire rope on the drum after the tension has decreased and the geometric position of the new wire rope in the winding process.(3)According to the winding geometry of the wire rope at the cross-over,the function approximate solution of the cross-over excitation is obtained;the threedimensional trajectory of the wire rope axis at the cross-over is drawn,and the projection solution of the axis of the cross-over excitation is obtained;the geometric shape of the cross-over excitation is measured by processing an drum and designing an experiment,and the measured shape is compared with the function approximate solution and the axis projection solution,which verifies the validity of the latter two solutions.In addition,an example is used to quantitatively analyze the axial force on the sheave wheel caused by the mechanical coupling characteristics of the vertical rope,and the deflection displacement of the sheave wheel caused by the force.(4)Based on the Hamiltonian principle,the lateral vibration equation of the catenary rope excited by the inter loop transition displacement is established.The partial differential equation is transformed into ordinary differential equation by the Galerkin discrete method,and the numerical solution is made by MATLAB.The influence of the cross-over displacement excitation on the lateral vibration displacement of the catenary rope under different rope groove parameters is studied.