| In order to meet the requirements of long-distance hoisting and safe operation of ultra deep mine hoisting system,The drum design of multi-rope multi-layer winding hoisting must effectively solve the two key problems of orderly multi-layer winding and stable coiling of wire rope.Therefore,this paper focused on the design theory of smooth transition of multi-layer winding steel wire rope for ultra deep mine hoisting.The theoretical and experimental research were carried out on the types of multi-layer winding rope groove,rope groove structure,calculation method of smooth transition of multi-layer winding steel wire rope,vibration characteristics of multi-layer winding drum,transverse vibration of suspension rope of multi-layer winding hoisting system,etc.It provided reliable theoretical support for the structural design and type selection of multi-layer winding fold line groove of super deep mine hoist.The main research contents and results are as follows:1 An interlayer transition principle of multi-layer winding of wire rope for ultra-deep mine hoist was proposed.When the wire rope is wound to the upper layer in the form of spatial Archimedes spiral during the interlayer transition,1.5 times of the wire rope pitch is extended along the axial direction of the drum,and the steel wire rope between the first circle completes the reverse transition of 1 times of the steel wire rope pitch in the folding areas.According to the principle of interlayer transition,The five layer double folded linear groove was designed.Its structural characteristics were analyzed.The motion track of multi-layer winding of steel wire rope was analyzed by section method.The rationality of five layer double folding linear rope groove structure was proved.The three-layer single fold linear groove was designed.The motion track of multi-layer winding of steel wire rope was also expressed by section method.Differences between the structural forms of single fold linear groove and double fold linear groove were compared,which provides a basis for the selection of rope groove types.The proposed interlayer transition principle realizes the orderly winding of wire rope in multiple layers.the designed rope groove structure can adapt to the long-distance lifting requirements of ultra-deep mine lifting system.2 The calculation method of stable coiling between multi-layer winding wire rope loops was established,In order to realize the stable coiling between coils of wire rope.Firstly,the physical model of transition between rope loops was established by Euler coordinate transformation;Secondly,combined with the kinematic relationship and mechanics principle of multi-layer winding of steel wire rope,the mathematical model of smooth transition between multi-layer winding of steel wire rope was established by using the condition of non-geodesic stable winding,and the calculation formula of geometric parameters of smooth transition between coils was obtained.The calculation formula of the relationship of geometric parameters of stable coiling between coils was obtained.The results showed as followed: The other parameters are constant for double fold linear drum,within a certain range.(1)The center angle of crossover arc(CACA)and the diameter ratio present a one-to-many relationship such as an electromagnetic wave,which makes the change of CACA to quasi-periodic:The larger diameter ratio of the wire rope,the greater period of the CACA;In the same period,the CACA is inversely proportional to diameter ratio,when diameter ratio is large;(2)The CACA and the diameter of the wire rope show a function of "one-to-many" in the shape of electromagnetic wave,which makes the change of the the CACA have a quasi-periodicality: the larger the diameter of the wire rope is,the longer the period of the change of the CACA;In the same period,the CACA decreases with the increase of diameter;(3)The CACA increases with the increase of gap of wire ropes;(4)The CACA decreases with the increase of friction coefficient.The conclusions provide an important theoretical reference for the selection of structural parameters of rope groove.3 The vibration model of multi-layer winding drum was established.In order to optimize the related parameters of the drum,the vibration characteristics of the multi-layer winding drum and the influence of the related parameters of the mine hoist system on its dynamic response were analyzed.the vibration differential equations with coupling term of slowly varying mass drum under inter circle smooth transition excitation were established by using the Lagrange equation of variable mass complete mechanical system,The numerical solution was obtained.The results showed as followed:(1)The vibration acceleration amplitude of the drum fluctuates.The acceleration amplitude of X-direction is similar to that of Y-direction,which indicates that the acceleration amplitude of the two directions has the same effect on the acceleration amplitude.Under the condition that the other parameters of the drum remain unchanged,when the asymmetric angle is between 0 and π.With the increase of angular velocity,the amplitude of acceleration in two orthogonal directions increases gradually.With the increase of CACA,the acceleration amplitude of the two orthogonal directions increases slowly.With the increase of wire rope diameter,the acceleration amplitude of two orthogonal directions decreases gradually;The linear density of wire rope is proportional to the amplitude of vibration acceleration.(2)Under the condition of stable coiling of wire rope.The Y-direction acceleration amplitude of the double fold linear drum is slightly higher than that of the single fold linear drum.the X-direction acceleration amplitude of the double fold linear drum is about equal to that of the single fold linear drum.The research results provide a basis for optimizing the structure and selection of the drum from the aspect of the vibration characteristics of the drum.(4)The differences of transverse vibration of suspension rope between single fold linear hoisting system and double fold linear drum hoisting system were compared.Based on Hamilton principle,the vibration equation of suspensions of winding hoist system under stable colling excitation between loops was established.Galerkin method was used to discretize the vibration equation.Its numerical solution was obtained.The lateral vibration displacement response characteristics of suspension rope in the hoisting system of two kinds of fold linear drum were compared.The results showed as followed:(1)Under the condition of stable coiling of wire rope.During the no-load operation of the hoisting system of the double fold linear drum,the amplitude of the lateral vibration displacement response of the suspension rope presents unstable periodic changes.The lateral vibration displacement response of wire rope of the single fold linear drum hoisting system has stable periodicity.(2)The amplitudes of wire rope lateral vibration displacement of double fold linear drum hoisting system are much larger than that of single fold linear drum hoisting system.The research conclusion provides a basis for drum selection from the wire rope suspension rope vibration of the ultra deep mine hoisting.(5)The lifting experiments of multi-layer winding lifting system were carried out.Combined with the multi-rope and multi-layer winding hoist experimental platform built in the project.A three-layer double fold linear rope groove was designed and manufactured.The operation experiment of the system was carried out.It could be observed that multiple layers of wire rope were wound and arranged neatly,which proves the correctness of the principle of interlayer transition and the structure of rope groove proposed in this paper.The vibration of the drum was measured by using the multi-channel dynamic signal test system.The high-speed industrial camera was used to detect the lateral vibration of suspension rope under lifting cycle.The results showed as followed:(1)The calculated amplitude of drum vibration acceleration is close to the measured amplitude of acceleration,and its change trend is consistent.Its change trend remains the same: the acceleration amplitude increases slowly with the increase of speed.The correctness of the vibration model of slowly varying mass drum is proved.(2)In the experiment,the drum vibration accelerations in three directions of the bearing seat were obtained.The lateral vibration displacements of the suspension rope were obtained.On the one hand,the best detection method of wire rope smooth transition is determined: Measuring and calculating the Kurtosis of Y-direction acceleration signal on the bearing seat is the best method to reflect the stable coiling of wire rope.On the other hand,it also proves the correctness of the calculation method of the stable coiling for multilayer winding of wire rope proposed in this paper. |
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