Abstract
The work is devoted to solving the problem of selecting optimal geometric parameters of gears of a two-stage cylindrical reducer using a modified evolutionary algorithm (EA). The statement of the problem is considered, design parameters, objective functions, limitations on design parameters are determined. This allowed us to propose a modification of EA. To generate the initial test points, it was proposed to use the LP-τ sequence, this allowed us to reduce the initial population of test points and bring EA closer to a truly “random” process. The scheme of the proposed algorithm is considered, which gives an idea of the sequence of operations that are carried out with populations of test points at each stage of the evolutionary process. The solution of the specific problem of selecting optimal parameters for a serial reducer is given. The input data, numerical and functional limitations are determined, the objective functions are formed. The results of the solution are shown in several presentation formats: tabular and graphical, which allows to qualitatively interpret and analyze the results. Conclusions are made about testing the proposed algorithm for solving a specific problem of optimal design. Further ways of improving this methodology are proposed.
Highlights
The scheme of the proposed algorithm is considered, which gives an idea of the sequence of operations that are carried out with populations of test points at each stage of the evolutionary process
Automotive engineering requires two- and three-shafts gearboxes [1,2], which for each gears work as a one- and two-stage reducer
The authors see the possible development of this direction and the improvement of similar approaches to solving the problems of optimal design for the specified gear drives [7,8,9]
Summary
General mechanical engineering uses universal and special two-stage coaxial and expanded reducers. Automotive engineering requires two- and three-shafts gearboxes [1,2], which for each (not direct) gears work as a one- and two-stage reducer. One approach to solving problems was used pseudorandom search for LPτ-sequences, both alone and in combination with other methods [4,5]. Possibilities and adaptation of genetic algorithms for optimal design of gearboxes and reducers were considered in [6]. In this work several variations of genetic algorithms are given, where LPτ-uniformly distributed sequences were used to generate the initial populations. The authors see the possible development of this direction and the improvement of similar approaches to solving the problems of optimal design for the specified gear drives [7,8,9]. Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm is actual applied task
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