Method for solving problems of optimization of lattice building structures

[摘要] Spatial rod (mesh) structures are widely used in development. The first who used steel wadded structures in architecture was V G Shukhov. Variability of wireframe frames (geodesic dome, hyperboloid shell and other) allows using them for various architectural solutions. Optimization calculations are used to increase the efficiency and profitability of such structures at the stage of search design. Since these constructions have complex geometry, the designer can have difficulties. They are caused by a large number of considered constraints for each element of the construction. Present methods and software of optimal design do not always correspond to the dimension of the problem and the requirements of designers. To solve these problems when designing structures, the authors propose to use a modified simplex search method. The modification consists in the fact that the set of piecewise smooth boundaries of the domain of admissible solutions is replaced by a single convex R-predicate. In addition, a simplex is considered bound to the nearest boundaries by means of elastic bonds, the reactions of which affect the direction of the search. In this paper, the algorithm of this method is presented and the solution of the problem of optimal design of a mesh cylindrical structure is given.

[发布机构] Novokuznetsk Branch, Kemerovo State University, 23, Tsiolkovsky str., Novokuznetsk; 654041, Russia^1

[关键词] Architectural solutions;Building structure;Complex geometries;Cylindrical structure;Designing structures;Optimization calculation;Piecewise smooth boundary;Simplex search method