Trihedral lattice supports geometry optimization according to the stability criterion

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Abstract

The study proposes a technique for optimizing trihedral lattice tower structures from the condition of maximum critical load. Towers with a cross section of elements in the form of round pipes are considered. The load is represented by a horizontal concentrated force at the upper end of the tower, simulating the operation of a wind turbine. A constraint on the constancy of the mass of the structure is introduced. The variable parameters are the width of the tower, which varies in height, the height of the panels, the external diameters of the cross-section of the chords and lattice. The solution of the nonlinear optimization problem is performed in the MATLAB environment using the Optimization Toolbox and Global Optimization Toolbox packages. A tower of constant width is taken as the initial approximation. The calculation of the critical load is performed by the finite element method in a linear formulation by solving the eigenvalue problem. To solve the nonlinear optimization problem, the interior point method, the pattern search method and the genetic algorithm are used. The efficiency of the listed methods is compared. It has been found that the interior point method is the most efficient. The critical load for the optimal tower compared to the tower of constant width with the same mass increased by 2.3 times.

About the authors

Leysan Sh. Akhtyamova

Don State Technical University

Email: leisan21@gmail.com
ORCID iD: 0000-0003-0480-9811

postgraduate student, Department of Strength of Materials

1 Ploshchad' Gagarina, Rostov-on-Don, 344000, Russian Federation

Batyr M. Yazyev

Don State Technical University; Kazan Federal University

Email: ps62@yandex.ru
ORCID iD: 0000-0002-5205-1446

Doctor of Technical Sciences, Professor of the Department of Strength of Materials, Don State Technical University; chief researcher, Institute of Design and Spatial Arts, Kazan Federal University

1 Ploshchad' Gagarina, Rostov-on-Don, 344000, Russia Federation; 18 Kremlevskaya St, Kazan, 420008, Russian Federation

Anton S. Chepurnenko

Don State Technical University; Kazan Federal University

Author for correspondence.
Email: anton_chepurnenk@mail.ru
ORCID iD: 0000-0002-9133-8546

Doctor of Technical Sciences, Professor of the Department of Strength of Materials, Don State Technical University; chief researcher, Institute of Design and Spatial Arts, Kazan Federal University

1 Ploshchad' Gagarina, Rostov-on-Don, 344000, Russian Federation; 18 Kremlevskaya St, Kazan, 420008, Russian Federation

Linar S. Sabitov

Kazan Federal University; Kazan State Power Engineering University

Email: sabitov-kgasu@mail.ru
ORCID iD: 0000-0001-7381-9752

Doctor of Technical Sciences, Professor of the Department of Structural Design, Kazan Federal University; Professor of the Department “Energy Supply of Enterprises, Construction of Buildings and Structures,” Kazan State Power Engineering University

18 Kremlevskaya St, Kazan, 420008, Russian Federation; 51 Krasnoselskaya St, Kazan, 420066, Russian Federation

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Copyright (c) 2022 Akhtyamova L.S., Yazyev B.M., Chepurnenko A.S., Sabitov L.S.

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