Preliminary optimization technique in the design of steel girders according to Eurocode 3

Archives of civil engineering

article

Paweł Szeptyński¹  Leszek Mikulski¹ 

[1] Cracow University of Technology, Faculty of Civil Engineering

关键词: Eurocode;    imperfections;    Pontryagin’    s Maximum Principle;    second order effects;    steel structure;    structural optimization;   

DOI  :  10.24425/ace.2023.144160

学科分类：建筑学

来源: Polska Akademia Nauk * Instytut Podstawowych Problemow Techniki / Polish Academy of Sciences, Institute of Fundamental Technological Research

【 摘 要 】

The problem of optimal design of a steel plated girder according to the Eurocode 3 is considered. Code regulations admit the Finite Element Analysis (FEA) in designing plated structures with variable cross-sections. A technique of determining an approximate solution to the optimization problem is presented. It is determined a solution of a control theory optimization task, in which Eurocode requirements regarding the Ultimate Limit State (bearing capacity, local and global stability) as well as Serviceability Limit State (flexural rigidity) are used as appropriate inequality constraints. Static analysis is performed within the framework of linear elasticity and Bernoulli-Euler beam theory making an account for second-order effects due to prescribed imperfections. Obtained solutions, after regularization, may be used for direct verification with the use of FEA or as the first guess for iterative topology optimization algorithms. Code requirements governing the determination of optimal shape are visualized in the constraint activity diagram, which is a proposed tool for analysis of optimization process.

【 授权许可】

Unknown