Reliability based design optimization

• Grant number: 17/01243-5
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2017
• End date: May 31, 2019
• Field of knowledge: Engineering - Civil Engineering - Structural Engineering
• Principal Investigator: André Teófilo Beck
• Grantee: André Teófilo Beck
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated researchers: Gustavo Assis da Silva ; Henrique Machado Kroetz ; Rodolfo Krul Tessari ; Rúbia Mara Bosse ; Túlio Raunyr Cândido Felipe

Abstract

Structural engineering design should be robust w.r.t. the uncertainties inherently present in loads, material strengths and engineering models. This perception has led to the concept of Reliability Based Design Optimization or RBDO, where design constraints are written in terms of minimal reliability levels. A literature review reveals that most papers addressing this subject replace deterministic limit state constraints by reliability constraints involving single failure modes. This is a direct inheritance from deterministic design. There are, however, two more consistent ways of tackling this problem, which have not been much explored in the literature: the first consists in using a single system reliability constraints; the second involves quantifying the consequences of failure and moving reliability constraints to the objective function. The later have been called life-cycle cost and risk optimization problems. Both formulations allow one to find the optimal compromise between competing failure modes. Risk optimization also allows one to find the proper balance between the conflicting goals of economy and safety in structural design. This project has six main research lines: A. Strategies for solving RBDO problems with system reliability constraints; B. Strategies for solving life-cycle cost and risk optimization problems; C. Use of meta-models to speed solution of system RBDO and risk optimization problems; D. Application to robust design, considering progressive collapse of hyper-static structures; E. Applications to performance based engineering design; F. Applications to the probabilistic design of well casings. Lines A. to C. above are theoretical research lines. Lines D. to F. are applications to real structural engineering problems. All research lines present technological challenges to be addressed. (AU)

Scientific publications

(10)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CARDOSO, E. L.; DA SILVA, G. A.; BECK, A. T.. Robust topology optimization of compliant mechanisms with uncertainties in output stiffness. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v. 119, n. 6, p. 532-547, AUG 10 2019. (17/01243-5)

FELIPE, TULIO R. C.; HAACH, VLADIMIR G.; BECK, ANDRE T.. Systematic Reliability-Based Approach to Progressive Collapse. ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART A-CIVIL ENGINEERING, v. 4, n. 4, DEC 2018. (17/01243-5)

FELIPE, TULIO R. C.; LEONEL, EDSON D.; HAACH, VLADIMIR G.; BECK, ANDRE T.. A comprehensive ductile damage model for 3D truss structures. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, v. 112, p. 13-24, JUN 2019. (17/01243-5)

BECK, ANDRE T.; TESSARI, RODOLFO K.; KROETZ, HENRIQUE M.. System reliability-based design optimization and risk-based optimization: a benchmark example considering progressive collapse. ENGINEERING OPTIMIZATION, v. 51, n. 6, p. 1000-1012, JUN 3 2019. (17/01243-5)

TÚLIO RAUNYR CÂNDIDO FELIPE; EDSON DENNER LEONEL; VLADIMIR GUILHERME HAACH; ANDRÉ TEÓFILO BECK. Análise de confiabilidade de treliças considerando caminhos de falha e utilizando o modelo FLHB. Rev. IBRACON Estrut. Mater., v. 14, n. 4, 2021-05-05. (17/01243-5)

KROETZ, H. M.; MOUSTAPHA, M.; BECK, A. T.; SUDRET, B.. A Two-Level Kriging-Based Approach with Active Learning for Solving Time-Variant Risk Optimization Problems. RELIABILITY ENGINEERING & SYSTEM SAFETY, v. 203, NOV 2020. (17/01243-5)

PELLIZZER, GIOVANNI PAIS; KROETZ, HENRIQUE MACHADO; LEONEL, EDSON DENNER; BECK, ANDRE TEOFILO. Time-Dependent Reliability of Reinforced Concrete Considering Chloride Penetration via Boundary Element Method. LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, v. 17, n. 8, SI, 2020. (17/01243-5)

BECK, ANDRE T.. Optimal design of redundant structural systems: fundamentals. ENGINEERING STRUCTURES, v. 219, SEP 15 2020. (17/01243-5)

BAZAN, JOSE A. V.; BECK, ANDRE T.; FLOREZ-LOPEZ, JULIO. Random fatigue of plane frames via lumped damage mechanics. ENGINEERING STRUCTURES, v. 182, p. 301-315, MAR 1 2019. (17/01243-5)

FELIPE, TULIO R. C.; BECK, ANDRE T.. Dynamic analysis of failure paths of truss structures: Benchmark examples including material degradation. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 158, SEP 2021. (17/01243-5)