Lightweight Design Of Hoist Sheave Based On Surrogate Model

The large mine hoist is responsible for the lifting and lowering transportation tasks in the mine.It is the most commonly used equipment in the mining industry.The sheave is responsible for supporting and guiding the wire rope in a large mine hoist,and is one of the main load-bearing bodies.With the increasing demand for mineral resources in our country,there are higher requirements on all aspects of large mine hoists.The traditional design method is too considering the safety factor,leading to the continuous increase in the quality of the sheave,which also brings a series of problems such as increased cost,reduced efficiency and increased safety hazards.Therefore,the lightweight design of the sheave is extremely important.This paper takes the sheave of large mine hoist as the research object,uses the finite element method to carry out finite element analysis on the sheave,and obtains the equivalent stress amplitude and distribution of the sheave under normal working conditions.And relevant experimental verifications show that the finite element analysis results have good accuracy.According to the finite element analysis,it was decided to realize the lightweight design of the sheave by improving the structure of the process holes on the spokes.Therefore,the topology optimization method was used to determine the approximate structure of the improved process holes.Eight suitable structural parameters were selected as design variables,and choose the mass of the sheave and the equivalent stress amplitude of 45° and 0°as the output variables.The optimal Latin hypercube sampling is used to carry out the experimental design within the feasible range of the design variables,and sampling 170 initial sample points.Then the parametric model of the sheave is established to obtain a complete set of sample points.Finally,the RBF surrogate model of three output variables is established,and the R2 of the three is greater than 0.90.Sensitivity analysis using Sobol method found that the design variables x3 and x7 have the greatest influence on the mass of the sheave,x3 has the greatest influence on the 45° equivalent stress amplitude,and x7 has the greatest influence on the 0°equivalent stress amplitude.Using the ASA optimization algorithm,based on the three established RBF surrogate models,combined with the optimization problem model to find the optimal solution.Then based on the optimal solution,the 3D model of the optimized sheave is established,and finite element analysis is carried out.The equivalent stress amplitude of the optimized sheave is 50.99 MPa,which is smaller than before optimization and meets the constraint conditions.The equivalent stress distribution is more fully utilized than before optimization.Comparing the mass and equivalent stress amplitude of the sheave before and after optimization,the results show that the mass of the optimized sheave is reduced by 5.82%and the equivalent stress amplitude of the optimized sheave is reduced by 0.41%compared with that before the optimization.It proves that the lightweight design effect is significant.