Structural optimization under uncertainty in loading directions: Benchmark results

Csébfalvi, Anikó

doi:10.1016/j.advengsoft.2016.02.006

Cited by 21 publications

(13 citation statements)

References 25 publications

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“…A new functionC R is defined using the adjoint vector 0 ∼ N+M+1 and Equations (18), (27), (28), and (34), which are the constraints that correspond, respectively, to variables d, d∕ p i , d∕ i , and , as follows:…”

Section: Derivation Of Design Sensitivitymentioning

confidence: 99%

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Robust topology optimization based on finite strain considering uncertain loading conditions

Nishino

Kato

2020

Numerical Meth Engineering

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The present study proposes a method of robust topology optimization assuming uncertainties in the magnitude and direction of loads applied to a geometrically nonlinear structure. The objective function is the sum of the expected value and the standard deviation of end-compliance of a structure with a compressible Neo-Hookean hyperelasticity. In this study, quadratic approximation of the end-compliance with respect to random variables is employed to reduce computational cost. To ensure its accuracy, a complete analytical formulation is derived, and the performance and limitation of the proposed method are deeply discussed. The performance of the proposed method is verified and its numerical examples emphasize the importance of considering geometrical nonlinearity to obtain robust structures with respect to uncertainties of loading conditions. Finally, we have obtained a finding that the optimized network system consisting of thin members plays a significant role in the improvement of robustness of structures.

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Section: Derivation Of Design Sensitivitymentioning

confidence: 99%

“…The gradient of Equations (18), (27), (28), and (34) with respect to design variable s e is as follows:…”

Section: Derivation Of Design Sensitivitymentioning

confidence: 99%

Robust topology optimization based on finite strain considering uncertain loading conditions

Nishino

Kato

2020

Numerical Meth Engineering

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“…Csébfalvi [2] presented a new theoretical model and a problem-specific metaheuristic approach when the only source of uncertainty was the variability of the applied load directions; The varying load directions were handled as uncertain-but-bounded parameters. Benchmark results for this worst-load-direction oriented approach can be found in his other works [26,27]. By extending and revising their previous work [28], Lógó et al [29,30] proposed a new type of plastic limit design procedures and carried out reliability analysis of steel frames with limited residual strain energy capacity; where the influence of the limited load carrying capacity of the beam-to-column connections of elastoplastic frames multi-parameter static loading and probabilistically given conditions were taken into consideration.…”

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confidence: 99%

System Reliability Based Design Optimization of Truss Structures with Interval Variables

Zaeimi

Ghoddosain

2019

Period. Polytech. Civil Eng.

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New products ranging from simple components to complex structures should be designed to be optimal and reliable. In this paper, for the first time, a hybrid uncertain model is applied to system reliability based design optimization (RBDO) of trusses. All uncertain variables are described by random distributions but those lack information are defined by variation intervals. For system RBDO of trusses, the first order reliability method, as well as an equivalent model and the branch and bound method, are utilized to determine the system failure probability; and Improved (μ + λ) constrained differential evolution (ICDE) is employed for the optimization process. Reliability assessment of some engineering examples is proposed to verify our results. Moreover, the effect interval variables on the optimum weight of the truss structures are investigated. The results indicate that the optimal weight depends not only on the uncertainty level but also on the equivalent standard deviation; and a falling-rising behavior is observed.

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“…The problem can be formulated as a semi-infinite optimization problem, which can be replaced by a non-linear semi-definite problem. A worst-load-direction oriented unified common framework was presented by Csébfalvi [7] for robust optimization of both continuum and truss structures with uncertain load directions, which can be used for volume minimization of continuum structures with compliance constraints and weight minimization of truss structures with displacement and stress constraints.…”

Section: Introductionmentioning

confidence: 99%

A New Compliance-function-shapeoriented Robust Approach for Volume-constrained Continuous Topology Optimization with Uncertain Loading Directions

Csébfalvi

2017

Period. Polytech. Civil Eng.

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Structural optimization under uncertainty in loading directions: Benchmark results

Cited by 21 publications

References 25 publications

Robust topology optimization based on finite strain considering uncertain loading conditions

Robust topology optimization based on finite strain considering uncertain loading conditions

System Reliability Based Design Optimization of Truss Structures with Interval Variables

A New Compliance-function-shapeoriented Robust Approach for Volume-constrained Continuous Topology Optimization with Uncertain Loading Directions

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