Reliability-based topology optimization with stochastic heterogeneous microstructure properties

Gao, Yi; Liu, Yongming

doi:10.1016/j.matdes.2021.109713

Cited by 11 publications

(6 citation statements)

References 47 publications

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“…For static loading cases, the OC is used by default for performing compliance minimization problems, while the SCP is used for the volume minimization ones [30,31] . Recently, other methods can be found in literature considering different objective and constraint functions such as stress functions [32,33] and others dealing with microstructural levels [34,35] . However, in this work, we focus on the most used strategies (Problems 1 and 2).…”

Section: Resultsmentioning

confidence: 99%

Reverse Versus Inverse Optimum Safety Factor Approaches for Reliability-based Topology Optimization

2022

Int J Addit Manuf Struct

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Objective:The purpose of this study is to develop new reliability-based topology optimization (RBTO) approaches in order to develop new topology layouts, which will improve the structure rigidity and improve reliability levels as compared to previous RBTO layouts (or approaches).Methods: There are two ways in which deterministic topology optimization problems can be categorized: objective-based approach (OBA) and performance-based approach (PBA). The RBTO problems consist of performing the OBA and PBA under reliability constraints. In addition, the different developments of RBTO in literature can be divided into two groups. Developments from a topology optimization standpoint are considered to be the first group, while developments from a reliability analysis standpoint are considered to be the second group. Considering these two topology optimization methods (OBA and PBA) and both RBTO perspectives, reverse optimal safety factor (ROSF) approaches are established in this study with the objective of producing several layouts with increasing rigidity levels. Additionally, these developed approaches combine the advantages of both perspectives. As part of the development of ROSF approaches, optimality conditions are used to demonstrate the robustness of expanded formulations in obtaining local optima. Results:In this paper, the proposed RBTO approaches are applied to a 2D bicycle frame structure. Despite both ROSF and inverse optimum safety factor (IOSF) methodologies leading to several layouts, ROSF approaches always yield layouts with higher rigidity (or lower compliance) levels. In other words, the proposed approaches result in more rigid structures than previous approaches. A sensitivity study demonstrates that geometrical parameters have a significant impact on structural compliance (rigidity). Lastly, it should be noted that ignoring the geometry variability has no significant effect on the layouts. Conclusion:With the proposed methods, the designer is able to produce more layouts with increasing rigidity levels as the reliability level increases. By doing so, it is possible to collect the advantages of the different existing methods described in the literature.

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Section: Resultsmentioning

confidence: 99%

Reverse Versus Inverse Optimum Safety Factor Approaches for Reliability-based Topology Optimization

2022

Int J Addit Manuf Struct

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“…Topology optimization based on stress constraint needs to provide a sensitivity analysis of stress to design variables. According to the chain derivative rule, the first derivative of the P-norm stress to the jth design variable can be represented by equation (20).…”

Section: Stress Constraintmentioning

confidence: 99%

Reliability-based topology optimization of large-tonnage crane boom head with stress constraint

Yang,

Cai

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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This study proposes a reliability-based topology optimization model reconstruction method considering stress constraints to solve the problem of high stress on the crane boom head in the working process. Firstly, the empty area of the crane boom head model is filled as the design region. Next, random variables and reliability indexes are set, and the reliability-based topology optimization considering stress constraints is performed for the design region. Finally, the filled boom head model is reconstructed in professional software. The irregular uplift and entity parts are designed as ribbed plates and support structures to obtain the regular optimized boom head model. Meanwhile, finite element analysis is performed on the reconstructed model to determine its maximum equivalent stress during the working process. The results show that the optimized boom head has better mechanical properties than the original.

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“…And Sato et al (2019) studied the RBTO model under shape uncertainty modeled in Eulerian description. Recently, Gao and Liu (2021) applied the RBTO considering stochastic heterogeneous microstructure properties. They developed a novel framework of reliability-based topology optimization called RBTO-AIS to deal with microscale uncertainties.…”

Section: Classification According To Rbto Formulationsmentioning

confidence: 99%

“…Here, the microscale uncertainties of material properties and microstructures can affect the overall structure performances. So, classical deterministic topology optimization in which material properties and loadings are assumed to be deterministic would be insufficient (Gao and Liu 2021). When dealing with several disciplines, the RBTO model leads to several layouts taking several objectives into account.…”

Section: Future Research Directionsmentioning

confidence: 99%

Two decades review of reliability-based topology optimization developments

Kharmanda¹,

Mulki²

2022

IncertFia

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This review seeks to classify the different developments of the Reliability-Based Topology Optimization (RBTO) according to their formulations and methods. According to the RBTO formulations, two standpoints (topology and reliability standpoints) are generally treated, while according to methods, they are divided into loop and mixed methods. The different trends and gaps are discussed later. The selected publications over the last two decades (from December 2001 to December 2021) contain the term RBTO in their title and restricted to English language. There are several other publications, which have been written in other languages and some others containing the integration of the reliability analysis into topology optimization, but the RBTO was not included in their titles. These two types of publications are unfortunately not included in this review since it is the objective to provide the readers (especially the new researchers) a good guide (map) to the different RBTO developments and applications. Some additional publications considering other objective and constraint functions and dealing the RBTO with microstructural levels are also included since they were realized under the same period and containing the term of RBTO in their title. The first publication of the Reliability-Based Topology Optimization model was a technical report at Aalborg University in Denmark, published in December 2001. It was a new model where many critical discussions appeared between the topology optimization community and the reliability one during 2002 and 2003 (in several meetings and conferences). That led to delay the appearance of the first journal articles until 2004. According to the author's knowledge, more than 70 journal papers and more than 25 other publications (conference papers, chapters, reports... etc.) have been found during the last two decades. Almost 50% of journal papers have been published during the last four years which means that there is a strong interest to implement this model.

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Reliability-based topology optimization with stochastic heterogeneous microstructure properties

Cited by 11 publications

References 47 publications

Reverse Versus Inverse Optimum Safety Factor Approaches for Reliability-based Topology Optimization

Reverse Versus Inverse Optimum Safety Factor Approaches for Reliability-based Topology Optimization

Reliability-based topology optimization of large-tonnage crane boom head with stress constraint

Two decades review of reliability-based topology optimization developments

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