Reliability-based topology optimization

By G. Kharmanda, N. Olhoff, A. Mohamed, Maurice Lemaire. 2004

315 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/ae2a724b1fbe672b9c92b2b2b583cb656269d610

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Statistics and Probability

Citations in the corpus

New Type of Optimality Criteria Method in Case of Probabilistic Loading Conditions (2007, unknown): “Generally, the papers mirror deterministic problems and only recent publications have integrated the reliability analysis into the deterministic topology optimization problem by the introduction of the reliability constraint into the standard SIMP procedure (Kharmada et al, 2004 ; Melchers 2001 ).”
Reliability-based structural optimization of frame structures for multiple failure criteria using topology optimization techniques (2006, background): “Research concerning reliability-based topology optimization based on continuum mechanics has been presented in recent papers (Bae et al. 2002; Kharmanda et al. 2004), and these papers show that the reliability aspect can be successfully applied to topology optimization.”
Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “topology optimization (RBTO) [23], which integrates the probabilistic reliability concept into the topology design of continuum structures, has been investigated by many authors [24–31].”
Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model (2009, methodology): “Moreover, the advantages of RBTO have also been illustrated, for instance, by Kharmanda et al. (2004) using truss design examples.”
Robustness analysis of trusses with separable load and structural uncertainties (2006, methodology): “Based on stochastic uncertainty models of mechanical parameters, various techniques were proposed for evaluation and estimation of failure probability ( Kharmanda et al., 2004; Tsompanakis and Papadrakakis, 2004), that can be utilized in the reliability-based structural design methods.”
An efficient approach to reliability-based topology optimization for continua under material uncertainty (2015, background): “Including reliability in topology optimization algorithms, leads to reliability-based topology optimization (RBTO) (Maute and Frangopol 2003; Jung and Cho 2004; Kharmanda et al. 2004; Kang et al. 2004; Wang et al. 2006; Nguyen et al. 2011; Rozvany and Maute 2011).”
Aerodynamic shape optimization for minimum robust drag and lift reliability constraint (2016, methodology): “First-order reliability methods (FORM) [10,9] are most often used to approximate the resulting multidimensional reliability integrals over the domain in the uncertain parameter case where the performance criteria for the constraint are violated [28,30,21,13].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Both methods account for uncertainties related to material, loading, and geometric dimensions in the topology optimization for minimum compliance (Kharmanda et al. 2004), micro-electromechanical systems (MEMS) (Maute and Frangopol 2003; Wang et al. 2006a), and geometrically nonlinear structures…”
Robust structural topology optimization considering boundary uncertainties (2013, background): “As shown in [12,13], the geometric uncertainties usually result from the manufacturing imperfections, operational wear or degradation of the surface material under erosive environments and may have great impacts on the performances of the structure especially when the considered length scale is smal”