Robust topology optimization under material and loading uncertainties using an evolutionary structural extended finite element method

Rostami, Seyyed Ali Latifi; Kolahdooz, Amin; Zhang, Jian

doi:10.1016/j.enganabound.2021.08.023

Cited by 21 publications

(3 citation statements)

References 44 publications

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“…The BESO approach has been recently developed to provide the optimal topologies for a wide range of engineering applications, incorporating multi-materials [41,42], additional displacement constraints [43], stiffness and frequency optimization [44,45], nonlinear materials and large deformation [46][47][48] and uncertainties in load directions [49,50]. In this study, we have developed the BESO algorithm for the determination of the optimal layout of two external plate stiffeners welded directly onto the SHS/RHS column faces at the top and bottom flange locations of an I-section beam.…”

Section: External Stiffeners Designed Via Topology Optimizationmentioning

confidence: 99%

An BESO Approach for Optimal Retrofit Design of Steel Rectangular-Hollow-Section Columns Supporting Crane Loads

Tangaramvong

Van

2023

Buildings

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In this paper, we propose a cost-effective optimal-topology retrofitting technique for hollow-steel-section columns to sufficiently support industrial running cranes. A so-called bi-directional evolutionary structural optimization (BESO) method was encoded within the MATLAB modeling framework, with a direct interface with an ANSYS commercial finite-element analysis program, to determine the optimal topology of double external steel plates connected to columns in a 3D space. For the initial ground structure, we have adopted standard uniform double U-shaped external stiffener plates located at the top and bottom flange layers of an I-beam to box-column connection (IBBC) area. The influences of inelastic materials and the incorporated nonlinear geometry can effectively describe the premature (local buckling) failures of the columns in an IBBC area. The applications of the proposed optimal-topology BESO-based stiffening method are illustrated through the retrofitting of three hollow-steel-section columns, characterized by non-slender and slender compression sections. Some concluding remarks are provided on the pre- and post-retrofitted responses of the columns, with the results showing both the accuracy and robustness of the proposed external stiffening schemes.

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Section: External Stiffeners Designed Via Topology Optimizationmentioning

confidence: 99%

An BESO Approach for Optimal Retrofit Design of Steel Rectangular-Hollow-Section Columns Supporting Crane Loads

Tangaramvong

Van

2023

Buildings

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“…RTO under uncertainty is usually investigated according to the types of uncertain variables, e.g., the load, material property and geometry, respectively. Most of research in this field only considered one source of uncertainty such as Elishakoff et al [11], Dunning et al [12], Cai et al [13], Latifi Rostami et al [14], Guest and Igusa [15], Lógó [16,17], and Lógó et al [18] did research on load uncertainty. For RTO under uncertainty in material property, we can referred the following works: Tootkaboni et al [19], da Silva and Cardoso [20], Agrawal et al [21].…”

Section: Introductionmentioning

confidence: 99%

Robust Topology Optimization of Continuum Structures under the Hybrid Uncertainties: A Comparative Study

Rostami

Kolahdooz

et al. 2023

Period. Polytech. Civil Eng.

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Due to the inevitable involvement of multisource uncertainties related to the load, material property and geometry in practical engineering designs, robust topology optimization (RTO) has recently attracted increasing attention to account for these uncertain effects. However, the majority of the existing RTO works are concerned with single source uncertainty, and very few studies have considered the multisource (hybrid) uncertainties simultaneously. To this end, a comparative study on the hybrid uncertainties (HU), i.e., material-loading, geometric-loading, material-geometric, and material-geometric-loading uncertainties, for RTO of continuum structures is presented in this paper. A truncated Karhunen-Loeve expansion is adopted for uncertainty representation and a sparse grid collocation method for uncertainty propagation of the objective function and constraints. Effects of the various HU on the compliance and robust design are comprehensively investigated and compared with the RTO models under individual component uncertainty using two continuum benchmarks. An important observation from the results is that the hybrid uncertainty model is a conservative state, and the resulting RTO designs tend towards those with loading uncertainty only.

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“…Moreover, their random response is not well predicted by the deterministic tools of traditional analysis. To clearly understand the uncertain propagation and response of the mechanics-mathematical model during design and optimization, formally incorporating uncertainty into the design framework started to be taken into account in the topology optimization community (Latifi Rostami, et al, 2022;Latifi Rostami, et al, 2021;Rostami, et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Non‑intrusive polynomial chaos expansion for robust topology optimization of truss-like continua under random loads

Guo,

Zhou

2023

Preprint

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This paper dedicates to presenting an uncertain analysis framework for robust topology optimization (RTO) based on truss-like material model that integrates non-intrusive polynomial chaos expansion (PCE) approach. In this framework, the RTO problem is formulated as a bi-objective optimization one to simultaneously minimize the expectancy and its standard deviation of structural compliance with volume constraints. The magnitude and direction of load uncertainty are assumed to follow a Gaussian distribution independently. A standard non-intrusive PCE requires a large number of multivariate integrals to calculate the expansion coefficient. Therefore, response metrics such as structural compliance are efficiently characterized using the decoupling techniques based on the expansions of the uncertain parameters. The mechanical analysis and uncertainty analysis are separated, so that the number of simulations in the original PCE procedure is greatly reduced for linear structures by means of superposition. The optimization is achieved by gradient-based methods. The appreciable accuracy and efficiency are validated by the brutal Monte Carlo simulation. Three numerical examples are provided to demonstrate that the proposed method can lead to designs with completely different topologies and superior robustness.

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Robust topology optimization under material and loading uncertainties using an evolutionary structural extended finite element method

Cited by 21 publications

References 44 publications

An BESO Approach for Optimal Retrofit Design of Steel Rectangular-Hollow-Section Columns Supporting Crane Loads

An BESO Approach for Optimal Retrofit Design of Steel Rectangular-Hollow-Section Columns Supporting Crane Loads

Robust Topology Optimization of Continuum Structures under the Hybrid Uncertainties: A Comparative Study

Non‑intrusive polynomial chaos expansion for robust topology optimization of truss-like continua under random loads

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