Determination of the optimal values of the parameters of a three-chain farm using a method of nonlinear mathematical programming

The work considers the possibility of using the method of non-linear mathematical programming to calculate the optimal, according to the criterion of weight, the values of the parameters of a symmetrical three-tire farm. The proposed method allows you to choose the area of the transverse sections of the farm rods so that their weight would be minimal, with given loads and restrictions imposed on the area of the rods. The work also considers the effect of changing the angle of inclination of the edge rods to the abscissa axis on the structure and values of the optimal parameters of the farm. To find the global minimum of target functions, a random search method is used. A set of programs for finding numerical values of the optimal parameters of the farms has also been developed.

Authors

Publication Details

Journal
Works of Georgian Technical University
Published
2024-12-25
DOI
https://doi.org/10.36073/1512-0996-2024-4-155-166
Primary Topic
Mechanical Systems and Engineering
Type
article
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article

Determination of the optimal values of the parameters of a three-chain farm using a method of nonlinear mathematical programming

Badri Gvasalia, Tamar Kvachadze
Works of Georgian Technical University
Mechanical Systems and Engineering
article

Determination of the optimal values of the parameters of a three-chain farm using a method of nonlinear mathematical programming

Badri Gvasalia, Tamar Kvachadze
article en

Abstract

The work considers the possibility of using the method of non-linear mathematical programming to calculate the optimal, according to the criterion of weight, the values of the parameters of a symmetrical three-tire farm. The proposed method allows you to choose the area of the transverse sections of the farm rods so that their weight would be minimal, with given loads and restrictions imposed on the area of the rods. The work also considers the effect of changing the angle of inclination of the edge rods to the abscissa axis on the structure and values of the optimal parameters of the farm. To find the global minimum of target functions, a random search method is used. A set of programs for finding numerical values of the optimal parameters of the farms has also been developed.

Works of Georgian Technical University(4(534))
Openalex Percentile: Top 85%
Mechanical Systems and Engineering
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