Open AccessOptimization of the cross-sectional shape of the belts of trihedral lattice supports
Author(s) -
Linar Sabitov,
Ilnar Baderddinov,
Антон Чепурненко
Publication year - 2019
Publication title -
stroitelʹstvo i arhitektura
Language(s) - English
Resource type - Journals
eISSN - 2500-1477
pISSN - 2308-0191
DOI - 10.29039/2308-0191-2019-7-4-5-8
Subject(s) - moment of inertia , lattice (music) , nonlinear system , geometry , pentagon , mathematical analysis , computer science , mathematics , physics , classical mechanics , quantum mechanics , acoustics
The article considers the problem of optimizing the geometric parameters of the cross section of the belts of a trihedral lattice support in the shape of a pentagon. The axial moment of inertia is taken as the objective function. Relations are found between the dimensions of the pentagonal cross section at which the objective function takes the maximum value. We introduce restrictions on the constancy of the consumption of material, as well as the condition of equal stability. The solution is performed using nonlinear optimization methods in the Matlab environment.