Comparative analysis of deterministic and reliability-based structural optimization methods

Authors

DOI:

https://doi.org/10.5902/2179460X74335

Keywords:

Optimization, Reliability, DDO, RBDO

Abstract

Optimization is the act of obtaining the best possible result under established conditions. Usually, the optimization of a structural design is done considering the structure's dimensions, the materials' properties, and the loads as deterministic values. This way, the optimization process can lead to a more economical design without guaranteeing that this structure is safe. In practice, there are always uncertainties about the final dimensions of the built structure, material properties, and loads. Then, the need arises to use design optimization techniques based on reliability to guarantee a project that is both economical and safe. This objective is achieved by including uncertainties in the optimization process. This article evaluates the parameters that determine the global minimum of the optimization methods DDO (Deterministic Design Optimization) and RBDO (Reliability-Based Design Optimization). This work aims to compare the structural optimization methods of DDO and RBDO through an example. The results are obtained through the codes of the methods implemented in the Python language and show that when comparing the two optimization methods, the presence of uncertainties alters the optimal solution.

Downloads

Download data is not yet available.

Author Biographies

Carla Simone de Albuquerque, Universidade Federal do Rio Grande

PhD student and master's degree of the Postgraduate program in Computational Modeling at the Federal University of Rio Grande (FURG). She has a degree in Civil Engineering, Mathematics, Pedagogy and Specialization in Mathematics Teaching from Universidade Estadual Vale do Acaraú (UVA).

Mauro de Vasconcelos Real, Universidade Federal do Rio Grande

He has a degree in Civil Engineering from the Catholic University of Pelotas, a master's degree and a doctorate in Civil Engineering from the Federal University of Rio Grande do Sul (UFRGS). He is currently a Full Professor at the School of Engineering at the Federal University of Rio Grande-FURG. He works in the Postgraduate Programs in Ocean Engineering and Computational Modeling at FURG and as co-supervisor in the Postgraduate Program in Civil Engineering at UFRGS.

References

ARORA, J. S. Introduction to Optimum Design. 4 th edition. Academic Press, 2016.

BECK, A. T. Confiabilidade e Segurança das Estruturas, 1ª ed., Elsevier, Rio de janeiro, 2019.

BECK, A. T.; Gomes, W. J. S. A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty. Probabilistic Engineering Mechanics, v. 28, p. 18-29, 2012.

BEN-TAL, A.; GHAOUI, L. E.; NEMIROVSKI A. Robust Optimization. Princeton University Press, 2009.

CHOI, S. K.; GRANDHI, R. V.; CANFIELD, R. A. Reliability-based Structural Design. Springer-Verlag London Limited, 2007.

FAES, M. G. R.; VALDEBENITO, M. A. Fully decoupled reliability-based optimization of linear structures subject to Gaussian dynamic loading considering discrete design variables. Mechanical Systems and Signal Processing, v. 156, 2020.

GUO, X.; BAI, W.; ZHANG, W.; GAO, X. Confidence structural robust design and optimization under stiffness and load uncertainties. Computer Methods in Applied Mechanics and Engineering, v.198, n.41-44, p. 3378-3399, 2009.

KHARMANDA, G.; SHARABATEY, S.; IBRAHIM, H. MAKHLOUFI, A. ELHAMI, A. Reliability-Based Design Optimization using Semi-Numerical Strategies for Structural Engineering Applications. International Journal of CAD/CAM, v. 9, n. 1, p. 1-16, 2009.

KROETZ, H. M. Otimização Estrutural sob incertezas: Métodos e Aplicações. Tese de Doutorado, São Carlos, SP. Escola de Engenharia de São Carlos da Universidade de São Paulo, 2019.

MELCHERS, R. E.; BECK, A. T. Structural reliability analysis and prediction. 3rd Ed, John Wiley and Sons, 2018.

SHEN, W.; OHSAKI, M.; YAMAKAWA, M. Quantile-base3d sequential optimization and Reliability assessment for shape and topology optimization of plane frames using L-moments. Structural Safety, v. 94, 2022.

ZHANG, Y.; XU, X; SUN, G.; LAI, X.; LI, Q. Nondeterministic optimization of tapered sandwich column for crashworthiness. Thin-Walled Structures, v. 122, p. 193-207, 2018.

ZHAO, Q.; CHEN, X.; MA, Z.; LIN, Y. A Comparison of Deterministic, Reliability-Based Topology Optimization underUncertainties. Acta Mechanica Solida Sinica, v. 29, 2016.

Downloads

Published

2023-12-01

How to Cite

Albuquerque, C. S. de, & Real, M. de V. (2023). Comparative analysis of deterministic and reliability-based structural optimization methods. Ciência E Natura, 45(esp. 3), e74335. https://doi.org/10.5902/2179460X74335