Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm

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 dete...

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Main Authors: Ustynenko Oleksandr, Bondarenko Oleksiy, Serykov Volodymyr
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:MATEC Web of Conferences
Online Access:https://www.matec-conferences.org/articles/matecconf/pdf/2020/13/matecconf_pt2020_01004.pdf
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spelling doaj-140a4d4c69e2436480add5321d1bf9d22021-08-05T13:50:55ZengEDP SciencesMATEC Web of Conferences2261-236X2020-01-013170100410.1051/matecconf/202031701004matecconf_pt2020_01004Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithmUstynenko Oleksandr0Bondarenko Oleksiy1Serykov Volodymyr2National Technical University “Kharkiv Polytechnic Institute”, Department of Theory and Computer-Aided Design of Mechanisms and MachinesNational Technical University “Kharkiv Polytechnic Institute”, Department of Theory and Computer-Aided Design of Mechanisms and MachinesNational Technical University “Kharkiv Polytechnic Institute”, Department of Theory and Computer-Aided Design of Mechanisms and MachinesThe 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.https://www.matec-conferences.org/articles/matecconf/pdf/2020/13/matecconf_pt2020_01004.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Ustynenko Oleksandr
Bondarenko Oleksiy
Serykov Volodymyr
spellingShingle Ustynenko Oleksandr
Bondarenko Oleksiy
Serykov Volodymyr
Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm
MATEC Web of Conferences
author_facet Ustynenko Oleksandr
Bondarenko Oleksiy
Serykov Volodymyr
author_sort Ustynenko Oleksandr
title Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm
title_short Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm
title_full Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm
title_fullStr Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm
title_full_unstemmed Solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm
title_sort solving the problem of optimal design for a two-stage reducer by using a modified evolutionary algorithm
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2020-01-01
description 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.
url https://www.matec-conferences.org/articles/matecconf/pdf/2020/13/matecconf_pt2020_01004.pdf
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