S. Freitag, P. Edler, Stefanie Schoen, Gunther Meschke
{"title":"Artificial neural network surrogate modeling for uncertainty quantification and structural optimization of reinforced concrete structures","authors":"S. Freitag, P. Edler, Stefanie Schoen, Gunther Meschke","doi":"10.1002/pamm.202300286","DOIUrl":null,"url":null,"abstract":"Optimization approaches are important to design sustainable structures. In structural mechanics, different design objectives can be defined, for example, to minimize the required construction material or to maximize the structural durability. In this paper, the durability of a reinforced concrete (RC) structure is assessed by advanced finite element (FE) models to simulate the cracking behavior and the chloride transport process. The corrosion initiation time is used as durability measure to be maximized within an optimization approach, where the concrete cover is defined as design variable. The variability of structural loads and material parameters and unavoidable construction imprecision leads to a probabilistic reliability and durability assessment, where aleatory as well as epistemic uncertainties are quantified by random variables, intervals and probability‐boxes. The FE simulation models cannot directly be applied to structural analyses and optimizations with polymorphic uncertain parameters and design variables because of the high computational demand of the multi‐loop algorithm (Monte Carlo simulation, interval analysis, global optimization). In this paper, a new surrogate modeling strategy is presented, where artificial neural networks are trained sequentially to speed‐up the coupled mechanical and transport simulation FE models. The new approach is applied to the uncertainty quantification and the structural durability optimization of a RC structure.","PeriodicalId":510616,"journal":{"name":"PAMM","volume":"24 12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"PAMM","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/pamm.202300286","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Optimization approaches are important to design sustainable structures. In structural mechanics, different design objectives can be defined, for example, to minimize the required construction material or to maximize the structural durability. In this paper, the durability of a reinforced concrete (RC) structure is assessed by advanced finite element (FE) models to simulate the cracking behavior and the chloride transport process. The corrosion initiation time is used as durability measure to be maximized within an optimization approach, where the concrete cover is defined as design variable. The variability of structural loads and material parameters and unavoidable construction imprecision leads to a probabilistic reliability and durability assessment, where aleatory as well as epistemic uncertainties are quantified by random variables, intervals and probability‐boxes. The FE simulation models cannot directly be applied to structural analyses and optimizations with polymorphic uncertain parameters and design variables because of the high computational demand of the multi‐loop algorithm (Monte Carlo simulation, interval analysis, global optimization). In this paper, a new surrogate modeling strategy is presented, where artificial neural networks are trained sequentially to speed‐up the coupled mechanical and transport simulation FE models. The new approach is applied to the uncertainty quantification and the structural durability optimization of a RC structure.
优化方法对于设计可持续结构非常重要。在结构力学中,可以定义不同的设计目标,例如,最小化所需的建筑材料或最大化结构耐久性。本文通过先进的有限元(FE)模型模拟开裂行为和氯离子迁移过程,对钢筋混凝土(RC)结构的耐久性进行了评估。在优化方法中,腐蚀起始时间被用作最大化耐久性的衡量标准,混凝土覆盖层被定义为设计变量。结构荷载和材料参数的可变性以及不可避免的施工不精确性导致了可靠性和耐久性评估的概率性,在这种情况下,通过随机变量、区间和概率框量化了可知的和可认识的不确定性。由于多环算法(蒙特卡罗模拟、区间分析、全局优化)对计算量的要求很高,因此 FE 仿真模型无法直接应用于具有多态不确定参数和设计变量的结构分析和优化。本文提出了一种新的代用建模策略,即按顺序训练人工神经网络,以加快耦合机械和运输模拟 FE 模型的速度。新方法被应用于 RC 结构的不确定性量化和结构耐久性优化。