Multi-objective Optimization And Transmission Characteristics Research Of 3K Planetary Reducer

Planetary gear transmission has the characteristics of compact structure,high power density,large transmission ratio and power splitting.It is widely used in aerospace,automobiles and ships fields.This paper uses a low speed and heavy load transmission mechanism as the research objects,carries on the multi-objective optimization design of the planetary transmission locking mechanism,and completes the model establishment of the prototype,and conducts experimental research on the transmission accuracy and lost motion of the prototype.The main research contents of this paper include:(1)According to the Pareto based multi-objective optimization theory,the influence of uneven competitive pressure on the solution process is analyzed.An improved multi-objective genetic algorithm(IMOGA)is proposed,which approximates the theoretical Pareto frontier by using feasible solutions and infeasible solutions to compensate for the influence of uneven competition pressure on the solution process.At the same time,a crossover method of mixing chromosomes and cytoplasm is proposed to effectively avoid the population converging to extreme points.The test function is used to compare IMOGA and NSGA-Ⅱ to verify the validity and correctness of the proposed algorithm.(2)The optimization mathematical model of 3K planetary reducer is established,and the multi-objective optimization is carried out to maximize the transmission ratio,minimize the volume and maximize the efficiency.The macroscopic non-independent discrete variables are converted and coded,so that the solutions that do not meet the equality constraints are filtered during the solving process,and the search efficiency is also improved.The analysis of the Pareto set obtained by IMOGA and NSGA-Ⅱfurther verifies the influence of uneven competition pressure on the solution of the optimal mathematical model of the 3K planetary reducer.(3)According to the design parameters,use Pro/E software to complete the 3D model modeling of the 3K planetary reducer prototype,and use Hypermesh and Ansys to perform the finite element simulation of the bending strength and contact strength of the meshing pair of the 3K planetary reducer and compare with the theoretical values.,The results show that the design parameters can meet the strength requirements under the working conditions.(4)According to the two-dimensional drawing of the prototype of the 3K planetary reducer,the theoretical lost motion of the prototype is calculated.By building a test platform for the transmission error and lost motion of the 3K planetary reducer prototype,the transmission error and lost motion of the prototype were measured.