Genetic algorithm-based RV speed reducer tooth profile optimizing and modifying method

Abstract

The invention discloses a genetic algorithm-based RV speed reducer tooth profile optimizing and modifying method. The tooth profile equation of a cycloidal gear after modifying and the contact range during actual work are determined according to the traditional three modifying methods of the cycloidal gear; the corresponding target function and the constraint condition are determined by the engaged nominal clearance of the tooth profile after modifying; the optimal modifying quantity is compensated into the tooth profile of the cycloidal gear of an RV speed reducer, so that the genetic algorithm optimization model of the tooth profile of the cycloidal gear is obtained. The optimal equidistant modifying quantity and the shift modifying quantity serve as target variables, the minimal tooth profile clearance after two kinds of optimal modifying serves as the target function, the engaged clearance between the node of the cycloidal gear and the engaged point serves as the constraint condition during optimization, the mixed penalty function of two-point heterodyning is introduced, so that the iteration speed of the optimization algorithm is increased, and finally the optimal equidistantand shift modifying quantity is obtained. By the method, optimal computation parameters can be determined rapidly and effectively, and the computation efficiency and the optimization precision are greatly improved.

Description

technical field [0001] The invention relates to the technical field of design and manufacture of RV reducer cycloidal wheels, in particular to a method for optimizing and modifying the tooth profile of RV reducer based on genetic algorithm. Background technique [0002] The RV reducer is mainly composed of planetary carrier, center wheel, cycloidal wheel and other components. It has high fatigue strength, rigidity and life, and the return difference accuracy is stable. Therefore, RV reducers are often used in high-precision robot transmissions in many countries in the world. At the same time, because the cycloidal pinwheel transmission used in the RV reducer has the advantages of small size, large transmission ratio range, high efficiency, reliable operation, and low noise, this transmission method has also been widely used in many industries. [0003] The theoretical standard cycloid transmission belongs to backlash-free meshing, and there is no meshing gap between the tee...

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Problems solved by technology

Literature [1] proposed a combined positive displacement and positive equidistant modification method. Although this method can obtain a tooth profile close to the conjugated tooth profile, it is difficult to achieve the requirement of small backlash difference.

And if this method guarantees the radial clearance, it will increase the new side clearance

Literature [2] adopts the matlab GUI method to find the best equidistant displacement modification amount by maximizing efficiency, but does not take into account the force and deformation during the meshing process after modification

The existing Chinese registered patent No. 201710537335.0 "Cycloid gear tooth profile modification method and cycloid gear, RV reducer", this patent uses a high-order parabolic processing method to modify the cycloid gear tooth profile, but the The method will introduce a large machining error, and it does not take into account the wear between the tooth surfaces in the working area

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