Optimal geometrical parameters of trihedral steel support’s cross section

Badertdinov, I. R.; Kuznetsov, I. L.; Кашапов, Н. Ф.; Gilmanshin, I. R.; Sabitov, Linar

doi:10.1088/1757-899x/412/1/012005

Cited by 3 publications

(2 citation statements)

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“…В [14][15][16] показывается, что экономическая эффективность башенных сооружений существенно зависит от их геометрии, а также формы и размеров поперечного сечения элементов. В [17] выполняется оптимизация таких геометрических параметров башни, как угол наклона решетки и ее ширина. При этом ширина башни по высоте остается постоянной, однако целесообразно ее уменьшение к вершине.…”

Section: Introductionunclassified

Trihedral lattice supports geometry optimization according to the stability criterion

Akhtyamova

Yazyev

Чепурненко

et al. 2022

Struct. Mech. of Eng. Const. and Build

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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.

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Section: Introductionunclassified

Trihedral lattice supports geometry optimization according to the stability criterion

Akhtyamova

Yazyev

Чепурненко

et al. 2022

Struct. Mech. of Eng. Const. and Build

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“…Currently, in the practice of building tower structures, lattice structures are mainly used in the form of spatial trusses of three-and tetrahedral, in some cases, polyhedral sections. The most rational of these are the triangular lattice structures, the advantages of which are the lowest metal consumption, due to the absence of the need to use a stiffness diaphragm in their design, as well as the least flexibility to uneven foundation settlement [1].…”

Section: Introductionmentioning

confidence: 99%

Trihedral lattice towers geometry optimization

et al. 2021

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The problem of trihedral lattice towers geometry optimization, the width of which varies linearly with height, has been considered. The variable parameters were the support width at the base and top point, as well as the cross-sectional areas of the lattice and chords. A restriction was introduced on the mass constancy. The objective function was the potential strain energy, the maximum displacement and the first frequency of natural vibrations. In the first and second cases the optimum corresponds to the minimum of the objective function, and in the third - to the maximum. The solution was performed by the finite element method in combination with four nonlinear optimization methods: the interior point method, surrogate optimization method, genetic algorithm and pattern search method. The efficiency of each of the listed optimization methods has been compared by the authors.

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Trihedral Lattice Towers Optimization with a Limitation on the Resonant Vortex Excitation Occurrence

Чепурненко

Akhtyamova

Ivashchenko

et al. 2023

Designs

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Trihedral lattice towers are widely used as transmission line supports, wind turbine supports, cell towers, and floodlight towers. The aim of this work is to develop a technique for optimizing trihedral lattice supports to reduce their weight, taking into account the limitation on resonant vortex excitation. At the same time, restrictions are also introduced on the maximum stress, as well as the ultimate slenderness of the elements. Thus, with a minimum weight, the tower must meet all the requirements of the design codes. A lattice tower used as a floodlight mast is considered. The tower consists of two sections, the upper of which is of constant width, and the width of the lower section varies according to a linear law. The elements of the tower are made from pipes with an annular cross section. The sections’ widths and heights, the dimensions of elements’ cross-sections, and the number of panels are the variable parameters. The solution of the nonlinear optimization problem is implemented in MATLAB software. Internal forces in the tower and natural frequencies are calculated by the finite element method. The tower is subjected to the action of ice and wind loads, dead weight and the weight of the equipment. The wind load is considered as the sum of the average and pulsation components. To solve the problem of nonlinear optimization, the surrogate optimization method and the genetic algorithm are used. One of the serially used designs was chosen as the initial approximation. The design obtained as a result of optimization compared to the initial approximation has a mass more than two times less and at the same time satisfies all design requirements.

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Optimal geometrical parameters of trihedral steel support’s cross section

Cited by 3 publications

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Trihedral lattice supports geometry optimization according to the stability criterion

Trihedral lattice supports geometry optimization according to the stability criterion

Trihedral lattice towers geometry optimization

Trihedral Lattice Towers Optimization with a Limitation on the Resonant Vortex Excitation Occurrence

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