Reliability-based topology optimization using inverse optimum safety factor approaches

Kharmanda, Ghias; Gowid, Samer; Shokry, Abdallah

doi:10.1016/j.aej.2020.08.013

Cited by 7 publications

(2 citation statements)

References 24 publications

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“…In industrial applications, the structure reliability is normally affected by lots of parameters [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] . The coupled effects could be crucial for the safe operation.…”

Section: Introductionmentioning

confidence: 99%

Approach for the structural reliability analysis by the modified sensitivity model based on response surface function - Kriging model

Zhu

Qiu

Chen

et al. 2022

Heliyon

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Section: Introductionmentioning

confidence: 99%

Approach for the structural reliability analysis by the modified sensitivity model based on response surface function - Kriging model

Zhu

Qiu

Chen

et al. 2022

Heliyon

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“…In more recent applications, several works can be cited on structural analysis, using the RBTO method, such as in [27][28][29] wherein plane stress analysis is performed by different approaches. Even construction process [30], dynamic or seismic aspects and effects with structural analysis on wind farm, brick and reinforced concrete structures are evaluated in the works [31][32][33][34] by optimization methods.…”

Section: Introductionmentioning

confidence: 99%

Reliability-Based Topology Optimization: An Extension of the SESO and SERA Methods for Three-Dimensional Structures

et al. 2022

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This study takes an approach to reliability-based topology optimization (RBTO) for 3D structures by applying an expansion of smoothing evolutionary structural optimization (SESO) and sequential element rejection and admission (SERA) for three-dimensional optimization. In the search for the stable optimal solution, and a more reliable structure, we present a performance index with the ability to monitor the evolutionary optimization procedure and adopt the filtering scheme usually applied in solid isotropic material with penalization (SIMP). The limit state functions are the maximum displacement constraints imposed in the topology optimization procedure and a structure’s performance control; a comparative analysis of the deterministic topology optimization (DTO) with the RBTO models is also explored. The obtained results suggest the importance of using the RBTO concept in 3D structures as part of the design analysis process.

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An improved evolutionary structure optimization method considering stress minimization and smooth design

Wang,

Tang,

Zhu

et al. 2024

Numerical Meth Engineering

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The design of continuum structures often presents challenges related to stress concentration, which can cause significant structural damage. To address this issue, the current study presents a new stress minimization method that utilizes the Windowed Evolutionary Structural Optimization (WESO) framework. The method aims to improve algorithm stability by optimizing design variables with an intermediate density. The use of a P‐norm stress aggregation method improves the assessment of global stress levels and enhances computational efficiency. Furthermore, a stable element sensitivity formulation, derived from the adjoint sensitivity analysis of the global stress measure, effectively handles the nonlinear stress behavior. Mesh filtering techniques are utilized to convert sensitivity from elements to nodes, and the structural topological solution is represented using the level set function (LSF) based on element‐node sensitivity. This method addresses the singularity issue commonly found in density‐based optimization methods and facilitates the achievement of smooth topological solutions. Through 2D and 3D benchmark designs, the proposed method's feasibility, stability, and superiority are thoroughly demonstrated. A parametric study is conducted to identify the optimal parameter range for the algorithm, leading to the development of a rational method for parameter selection. The optimized topology, with its smooth boundaries, can guide the design of structures without the need for redesign or post‐processing, helping to drive innovation and development in engineering.

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Reliability-based topology optimization using inverse optimum safety factor approaches

Cited by 7 publications

References 24 publications

Approach for the structural reliability analysis by the modified sensitivity model based on response surface function - Kriging model

Approach for the structural reliability analysis by the modified sensitivity model based on response surface function - Kriging model

Reliability-Based Topology Optimization: An Extension of the SESO and SERA Methods for Three-Dimensional Structures

An improved evolutionary structure optimization method considering stress minimization and smooth design

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