Abstract

This article describes the process of constructing a genetic parametrical-optimization algorithm of trusses with the possibility of account the cost of manufacturing the nodal joints of rods. Accounting nodal joints in the process of parametric design synthesis will allow finding bearing systems with rational cost of their production. Parametric optimization was performed on the basis of modified genetic algorithm with constraints on the strength, stiffness and stability of the bearing system. The multipoint crossover and mutation operators and weakly interacting populations were used. The objective function takes into account the specific manufacturing of nodal joints for trusses with profiles of sections as binary angles. The cost of nodes is calculated on the basis of labor costs and materials used in the design of welded joints. А computational scheme for optimizing steel trusses of rods with profiles as paired angle sections and welded nodal joints is developed. The proposed iterative procedure is based on an efficient evolutionary algorithm for parametric synthesis of bearing systems that takes into account the valuation of materials and labor cost for the production of the structure. The example of optimal designing a secondary truss in frame building is considered. The solutions obtained as a result of optimization, considering the cost of nodes and not considering it, are compared. The above example confirms the efficiency of the proposed computational procedures

Аннотация. Разработка эффективных проектных решений для многих строительных объектов требует учета несущей способности и стоимости изготовления надстройки и фундамента как единой системы. В статье предложен алгоритм комплексного оптимального проектирования стальной плоской рамы каркаса здания и столбчатых фундаментов под ее колонны на естественном основании. Ставится задача минимизации стоимости материалов основных изменяемых частей конструкции. Поиск осуществляется с использованием генетического алгоритма на дискретных множествах типоразмеров поперечных сечений стержней рамы, размеров в плане подошв фундаментов и опорных стальных плит, высот фундаментов и вылетов их ступеней, классов бетона и арматуры, диаметров и шагов установки продольных арматурных стержней. Для рамы используется стержневая расчетная схема. Принимается во внимание влияние продольных сил в стержнях на их изгибные деформации. Учитываются вертикальные и угловые податливости грунтового основания. Приводится пример оптимизации трехпролетной стальной рамы и столбчатых фундаментов здания при строительстве в условиях г. Брянска.

An algorithm has been developed to optimize the reinforced concrete beams in removing the supports based on an adapted genetic algorithm and RBDO approach. Multiple cross-sectional dimensions of elements, concrete class, class and diameter of the reinforcements vary. Avoiding significant changes in the geometry of the structure after emergency actions is considered as the main active constraints. It is believed that this constraints provides the required structural resistibility in an emergency situation. The value terms of material losses risk in case of a possible structure failure as a component of the objective function is considered. The proposed genetic algorithm includes an adapted mutation operator and the elitism strategy for selecting the best solutions. The algorithm presented allows obtaining design solutions of high operational reliability for rectangular reinforced concrete beams, taking into account the optimal ratio of a structure costs and the risks of its failure in an accident.

No abstract