Reliability-based topology optimization of geometrically nonlinear structures with loading and material uncertainties

By H. Jung, Seonho Cho. 2004

173 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/dc13ea06bf10ae4320afaa4c743c2309e4246298

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In Civil and Structural Engineering

In Mechanics of Materials

In Statistics and Probability

Citations in the corpus

Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “Jung and Cho [32] presented the reliability-based topology optimization for three-dimensional geometrical nonlinear structures in presence of uncertainties of the material property and the external loads.”
Manufacturing tolerant topology optimization (2009, unknown): “[19–27]).”
Level set based robust shape and topology optimization under random field uncertainties (2010, background): “Reliability-based topology optimization was further developed in recent years by different research groups [14-19].”
Robust Topology Optimization: Minimization of Expected and Variance of Compliance (2013, methodology): “Following on from this work, there has been a flurry of activity developing RBTO [9–17].”
Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model (2009, background): “Jung and Cho (2004) studied the reliability-based topology optimization problem for three-dimensional structures with geometrical nonlinearities.”
Single-loop system reliability-based topology optimization considering statistical dependence between limit-states (2011, methodology): “Jung and Cho (2004) applied RBTO to geometrically nonlinear structures with uncertain loads and material properties.”
Current and future trends in topology optimization for additive manufacturing (2018, background): “To this end, Jung and Cho (2004) studied reliability-based topology optimization for three-dimensional geometrically nonlinear structures in the presence of uncertainties of material properties and external loads.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “…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 (Jung and Cho 2004) under a probabilistic failure constraint.”
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): “In structural mechanics problems, the formulation has been applied for sizing, shape and topology optimization [30,20,17].”
Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model (2017, background): “Considering the uncertainties related to material properties (Maute and Frangopol 2003; Jung and Cho 2004; Jalalpour et al. 2013; Jalalpour and Tootkaboni 2016), applied loads (Maute and Frangopol 2003; Jung and Cho 2004; Kharmanda et al.”
Fail-safe topology optimization (2016, background): “…to Deaton and Grandhi (2014) for literature survey, and to select papers for further reading: Maute and Frangopol (2003), Kharmanda et al (2004), Jung and Cho (2004), Guest and Igusa (2008), Silva et al (2010), Chen et al (2010), Chen and Chen (2011), Lazarov et al (2012), Nguyen et al (2011),…”