Stochastic optimization of reinforced concrete elements' design

2018 International Joint Conference on Materials Science and Mechanical Engineering

Venclovský, J.^1 ; Venclovský, J.^1 ; Štpánek, P.^1 ; Laniková, I.^1

Institute of Concrete and Masonry Structures, Faculty of Civil Engineering, Brno University of Technology, Vevei 331/95, Brno

602 00, Czech Republic^1

关键词: Bisection method;    Deterministic optimization;    Deterministic problems;    Orthogonal grid;    Reduced gradient method;    Reinforced concrete elements;    Steel reinforced concrete;    Stochastic optimizations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/383/1/012033/pdf
DOI  :  10.1088/1757-899X/383/1/012033

来源: IOP

【 摘 要 】

Main goal of the paper is to present an algorithm for stochastic optimization of design of steel-reinforced concrete element's cross section. Firstly, the deterministic problem is introduced and described, followed by the description of uncertainties involved in the process and stochastic reformulation of the problem. Afterwards, the algorithm itself is introduced. This algorithm is based on internal cycle of deterministic optimization using reduced gradient method and external cycle of stochastic optimization using regression analysis. The probability is assessed on orthogonal grid via modified bisection method. The paper concludes with presentation of the performed calculations and their results.