Optimization method of cycloid pin wheel profile modification based on particle swarm algorithm

Abstract

The invention discloses an optimization method of cycloid pin wheel profile modification based on particle swarm algorithm, and the method comprises the steps of determining a design variable and an object function according to a basic parameter of a cycloid wheel; re-determining a constrained condition according to a traditional constraint method and constraint requirements to a reshaped cycloid wheel tooth tip gap and a tooth root gap provided by the invention; playing the global optimization ability of particle swarm optimization algorithm in combination with the reshaped characteristics of the cycloid wheel to construct a particle swarm optimization algorithm model after the cycloid wheel shaping optimization; making an optimization object that the reshaped tooth profile can get close to a corner shaping tooth profile maximally and a return difference as small as possible is guaranteed, and further increasing the constraint requirement to the tooth tip gap and the tooth root gap on the basis of the traditional constraint, thereby obtaining a shaping tooth profile with an optimal equidistant and offset. In this way, the invention discloses the optimization method of cycloid needle wheel tooth profile modification based on the particle swarm algorithm with a short calculating period and high calculating precision, and the effect is good.

Description

technical field [0001] The invention relates to the technical field of design and manufacture of cycloidal gears, in particular to a particle swarm algorithm-based optimization method for tooth profile modification of cycloidal pin gears. Background technique [0002] The cycloid pinwheel meshing pair is the core component of the planetary cycloid reducer. In the current production practice, the modification method of equidistant plus displacement is generally adopted for the modification of the tooth profile of cycloidal gears, and the modification amount of equidistant and displacement depends on the experience of workers and needs to be verified by repeated experiments. In theory, when determining the modification amount of equidistance plus displacement, the results are not the same due to the different methods adopted. Literature [1] proposes to modify the cycloid tooth profile by approximating the rotation angle to obtain the modification amount of equidistant plus di...

AI Technical Summary

Problems solved by technology

Document [2] proposes the amount of tooth thickness modification, because the optimization theory is not used, the result has low accuracy and cannot meet the requirements of use

Literature [3] and Literature [4] gave the modification method of using the MATLAB optimization toolbox to find the best modification amount of the equidistant distance, but the meshing position of the cycloid wheel was not considered, so the calculated modification amount cannot be applied to the actual production process, nor can it be considered as the best

Reference [5] proposes to use transcendental equations to solve the transcendental equations, but when solving the transcendental equations, it is easy to have virtual solutions and lost solutions, and the length of the common normal is also an approximate value

Patent No. 201410120389.3 introduces a method to optimize the profile modification amount of cycloid gear according to the requirements of oil film thickness and inflection point position, but the optimized and constrained parameters still cannot meet the needs of practical applications

Images