Multi objective Optimization of Reinforced Concrete Buildings

Estevão Alencar Bandeira, Yuri Farias da Silva, Valério Silva Almeida
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Abstract

The application of parametric and topological optimization in the conception of buildings is a problem of high complexity due mainly to the large number of variables of interest to be optimized and to its nature intrinsically multiobjective. Due to the computational development occurred in the last decades, it has arisen the opportunity for a broader study and development of numeric models in this field. For the conception of structural designs, it counts on vary computational software that automate great part of the structural desgin conception process. However, in the stage of definition of the structural elements position, such as columns and beams, there is still a high level of dependency of the designer because it is long the time spent in the conception and not always the solution found is the most viable in economic and executive terms. With that, the current work is the initial development of a computational model of structural optimization of reinforced concrete buildings to decrease the designer dependency with the objective of minimizing the costs – such as concrete volume and steel weight – through the search of columns positions and its dimensions, restricted to an imposed architecture. It must be employed the evolutionary computation philosophy using the heuristic method of genetic algorithms, in the generation of the various feasible solutions, which are obtained by the results of the model of analysis by spatial framed structures, based on the finite element method. For the generation of the cost function, it will be considered the determination of the section area of the column and the steel needed that attends the equilibrium of each reinforced concrete section subjected to biaxial (oblique) bending with axial force state. Lastly, it will be performed a qualitative and quantitative comparative analysis between structural conceptions with and without the optimization technique in order to verify the consequences of its use.
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钢筋混凝土建筑的多目标优化
参数优化和拓扑优化在建筑概念中的应用是一个高度复杂的问题,这主要是因为需要优化的变量数量众多,而且其本质上是多目标的。由于近几十年来计算的发展,这为该领域数值模型的更广泛研究和发展提供了机会。对于结构设计的构思,它依靠各种计算软件,使大部分结构设计构思过程自动化。然而,在结构元素位置的定义阶段,如柱和梁,仍然是设计师的高度依赖,因为它在概念上花费了很长时间,并不总是找到最可行的解决方案,在经济和执行方面。因此,目前的工作是钢筋混凝土建筑结构优化计算模型的初步开发,以减少设计师的依赖,通过搜索柱的位置和尺寸,限制在一个强加的建筑中,以最小化成本(如混凝土体积和钢重量)。在基于有限元法的空间框架结构分析模型的结果生成各种可行解时,必须采用遗传算法的启发式进化计算哲学。对于成本函数的生成,将考虑柱的截面面积和所需钢材的确定,这些都是在轴力状态下参加双轴(斜)弯曲的每个钢筋混凝土截面的平衡。最后,将对采用和不采用优化技术的结构概念进行定性和定量比较分析,以验证其使用的后果。
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