Optimization Design And Simulation Analysis Of The Cylindrical Gearbox Based On The Reel Sprinkler

With the advantages of strong mobility,convenient maintenance and high spraying uniformity,the reel sprinkler has become one of the most promising agricultural irrigation equipment in China.However,due to the disadvantages of the traditional scheme design,the efficiency of the cylindrical gearbox,which is the core component of the gearbox,is relatively low,especially in the condition of low load and low speed,the transmission efficiency is far less than that of the same type of gearbox,and the energy consumption loss is relatively serious.At the same time,the service life of the gearbox transmission shaft,especially the output shaft connected with the reel,is relatively low under the condition of high load,which is easy to produce In view of the above problems,this paper optimizes the design of cylindrical gear reducer based on JP75 reel sprinkler,and simulates the whole machine energy consumption.The research contents are as follows:1.In this paper,the cylindrical gearbox of the reel sprinkling irrigation machine is optimized.The load model of the reel type sprinkler irrigation machine is established,and the load range of the gearbox is between 6.63N× m and 266.76N× m.The energy loss form of the gearbox is analyzed,and the transmission efficiency mathematical model of the gearbox is deduced.The optimal design of the gearbox gear system is completed,taking the lowest efficiency point of the gearbox and the total volume of the gear as the optimization goal,the design variables are selected,and the transmission is based on the meshing of the cylindrical gear Dynamic design criteria,the establishment of constraint functions,the use of fast non dominated sorting genetic algorithm NSGA-II in MATLAB to write the relevant procedures,the gearbox gear system for multi-objective optimization.After optimization,the overall transmission efficiency of the gearbox is increased by 8.5% ~ 21.2%,while the total volume of the gear is reduced,and the overall structure becomes more compact.2.The rigid flexible coupling dynamics simulation analysis of the optimized gearbox gear system is carried out.Through the reasonable simplification of the model,the fourthgear 3-D model of the gear system is established.The two pairs of gear pairs with high speed and high load are flexible treated by ANSYS software based on spider web method,and the load and speed under the maximum working condition are applied by STEP Function.The simulation results show that: the transmission ratio error of the gear system is small;the meshing force of each flexible body gear pair fluctuates up and down near the theoretical value in the time domain,the axial force is almost 0N,and the vibration amplitude in the frequency domain is small,which indicates that the operation is relatively stable;the maximum equivalent force of the gear 16 at the tooth root is 294 MPa,and the safety factor of the bending fatigue strength of the tooth root is more than 1.6,which is predicted by the finite element analysis software The fatigue life of the gearbox is more than 1.85×105h,which shows that the optimized gearbox meets the design requirements.3.The response surface optimization method is used to optimize the output shaft structure.According to the static analysis of the output shaft,the maximum equivalent stress of the output shaft is 311 MPa,and the strength safety is only 1.14.At the same time,the stress concentration exists.The output shaft is modeled by Solid Works,and the output shaft structure R1,R2,R3,R6 are selected as the design variables.The output shaft structure is optimized by response surface optimization method,and the data are evaluated by fitting degree,sensitivity analysis,and the influence of variable combination on the objective function,and then the optimal scheme is obtained.Before comparison,the maximum equivalent stress of the optimized output shaft is reduced by 8.36% and the mass is reduced by 7.8%.Although the maximum shape variable is increased,its influence can be ignored,and the stress concentration phenomenon is improved.Finally,the constrained modal analysis of the optimized output shaft is carried out to ensure that the optimized output shaft will not produce resonance phenomenon.4.Based on the reverse simulation method,the simulation model of the whole machine energy consumption is established.Based on the Simulink simulation platform,the running block diagram of each module is established and connected in series to get the simulation block diagram of the whole machine energy consumption under single operation;under the premise of the PE pipe being fully deployed,the whole machine energy consumption values of the sprinkler car at different operating speeds under different gear positions of the reducerare analyzed,and the range of the motor efficiency is analyzed to get the sprinkler car operation at the lowest energy consumption under different gear positions speed range.