The article proposes a technique for optimizing trihedral lattice tower structures according to the criterion of minimum mass, taking into account limitations in strength, ultimate slenderness of elements, stability, and the absence of resonant vortex excitation. A lattice tower with a cross section of elements in the form of round pipes, consisting of two sections, is considered. The variable parameters are the width of the tower, the height of the lower section, the outer diameters of the cross-section of the chords and gratings, the number of panels in the lower and upper sections. The solution of the nonlinear optimization problem is performed in the MATLAB environment using the Global Optimization Toolbox package. Determination of forces in the tower and frequencies of natural oscillations is performed by the finite element method using the subroutine for MATLAB developed by the authors. The influences on the tower are ice and wind loads, the dead weight of the tower, as well as the weight of the equipment. When calculating the effect of wind, the pulsation component is taken into account. The surrogate optimization method is used to solve the nonlinear optimization problem. In the initial approximation, the mass of the tower was 2 tons. As a result of optimization, the mass was reduced by more than 2 times.
Keywords: lattice towers, finite element method, surrogate optimization, resonant vortex excitation