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

A genetic algorithm and reducer technology, which is applied in the design and manufacture of RV reducer cycloidal wheels, can solve the problem that it is difficult to achieve small backlash difference, does not take into account the wear between tooth surfaces in the working area, and does not take into account the force deformation, etc. question

Inactive Publication Date: 2018-02-27
BEIJING UNIV OF TECH
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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, b

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

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[0078] In order to further understand the invention content, characteristics and effects of the present invention, the following examples are given hereby, and are described in detail in conjunction with the accompanying drawings:

[0079] A genetic algorithm-based RV reducer tooth profile optimization modification method, the specific steps are as follows:

[0080] Step 1 The parameter equation of the standard tooth profile before the modification of the RV reducer cycloid wheel is

[0081]

[0082] where x c 、y c is the x and y coordinate values ​​of the standard tooth profile in the Cartesian coordinate system; S is the expression of the short-width coefficient, S=(1+k 2 -2k cos θ) -0.5 , k=a·z p / r p , θ∈(0,π)

[0083] where r p ——Radius of pin tooth center circle

[0084] r rp ——pin tooth radius

[0085] i H ——The transmission ratio of the cycloidal wheel and the pin wheel

[0086] k——short-span coefficient

[0087] θ——meshing phase angle

[0088] a - ecc...

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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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Application Information

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IPC IPC(8): G06F17/50G06N3/12
CPCG06F30/17G06N3/126
Inventor 李富平赵祥刘志峰杨聪彬张涛
Owner BEIJING UNIV OF TECH
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