Abstract
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.
Highlights
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
It can be seen from the presented table that the potential strain energy and the greatest displacement of the structure reach their minimum at the upper boundaries of the parameters B0 and B1
It was found that the interior point method is the most effective for the considered problem
Summary
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 main recommendations for the creation of the lattice tower structures’ rational structural forms have been developed as well as the methods for their calculation. Some topical aspects have not been fully investigated; they include, in particular, the optimization of the triangular lattice tower structures’ geometric parameters. There are some publications on these structures’ cross-sectional shape optimization [2,3], the issues of finding the optimal relationship between the geometric parameters of the structure as a whole have not been properly reflected in the literature
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