Optimización metaheurística de conjuntos estructurales de hormigón armado

Abstract

This paper presents the economic structural optimization of the Casa Síndico project using an algorithm programmed through the CSi API functions SAP2000v19-MATLAB R2015a, applying metaheuristic techniques: Genetic Algorithms (GA) and Particle Swarm Optimization (PSO), in addition to hybridization between them. The results show that PSO has a better performance than GA for this type of optimization, although both, working with their simple methodologies, are not completely efficient, which is verified when creating and applying a hybridization between the two, using GA to create an initial swarm for PSO to carry out the optimization process, obtaining results of up to 10% better. Regarding the structural results, a direct cost of construction is obtained by 13% more economical when applying the proposed methodology, leaving, for the beams, heights of relation L / h between 15 and 17.5, for the columns, the use of sections with rectangularities of up to 1.35, in the direction that more flexion occurs, something similar to what happens for the foundations, where the rectangularity of these follows the previous criterion, obtaining values of up to 1.4.

Parameter tuning in the process of optimization of reinforced concrete structures

“…The practical objective function is the total direct cost of the structure (beams, columns and foundations), taking into account the formwork, the elaboration and placement of steel (longitudinal and stirrups) and concrete, and the cost of excavation and refill in foundations [4,5]. For more information, check the previous references.…”

“…The results of the real case study optimization process (with soil 1) using BBO with its tuned parameters is compared to simple GA and simple PSO, just as had previously been used in [4]. In Figure 9 it can be seen the superiority of BBO, and the dynamism mentioned above because this method constantly improves its solutions.…”

“…For this reason, the analysis of structural results will be focused on the importance of taking into account static-SSI (SSSI), and the differences when it is not introduced. In our investigations, SSSI is integrated using the Winkler hypothesis and the methodology proposed by [3], adapted to our conditions [4,5].…”

Optimización metaheurística de conjuntos estructurales de hormigón armado

“…An essential part of the mathematical formulation of the whole optimization process are the constraints imposed to the problem, consistently with the minimum cost requirement. It is known that design variables depend on constraints, which limit their free circulation in the optimization process (Negrin,. 2014).…”

“…Furthermore, it is essential to understand the structural optimization as the result of optimizing the whole set, since it has been demonstrated that the optimization of individual elements omits a key aspect of the concept of structure, which is the influence of each individual element on the whole, where load distributions are strongly influenced by this aspect (Negrin, 2014) (Negrin, 2016) (Negrin, 2019). obtaining the minimum structure weight, where the process starts with small sections and progressively increases the dimensions, until the strength and stiffness criteria are met, although poor results are obtained, such as beams with square sections (Mejía and Orozco, 2019).…”