Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models

By Zhan Kang, Yangjun Luo. 2009

233 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/57cf3c6de4be4f046739aa9073baf92052886299

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In Civil and Structural Engineering

In Computational Theory and Mathematics

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Citations in the corpus

Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions (2013, methodology): “Amongst non-probabilistic methods, the convex modeling technique [17, 18], including the ellipsoid [19] and interval models [20], has been widely used to take into account the uncertainties for uncertain-but-bounded parameters.”
Interval dynamic response analysis of vehicle-bridge interaction system with uncertainty (2013, background): “[20,21] investigated reliability-based optimization of structures with uncertain-but-bounded variations based on convex models.”
A new interval uncertain optimization method for structures using Chebyshev surrogate models (2015, background): “The uncertainties induced by the bounded parameters can be treated with convex models or intervalmodels [6,8–10].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Finally, Kang and Luo (2009) proposed a non-probabilistic reliability-based topology optimization method using convex models for cases where probability distribution data is unavailable.”
Reliability-based Topology Optimization of Trusses with Stochastic Stiffness (2013, methodology): “Kang and Luo [17] have implemented a non-probabilistic method to perform reliability-based design on geometric nonlinear continuum structures using a convex model that encompasses all the possible values for basic random vari ables.”
Discussions on non-probabilistic convex modelling for uncertain problems (2017, methodology): “Recently, some variants of the traditional convex models were also developed, including the multi-ellipsoid model [20, 21], the multidimensional parallelepiped model [22, 23], the super-ellipsoidal model [24], the convex model process [25], etc.”
Current and future trends in topology optimization for additive manufacturing (2018, background): “The important ones include internal nodal forces exclusion scheme by Buhl et al. (2000) and Pedersen et al. (2001), element removal and reintroduction scheme by Bruns and Tortorelli (1998), connectivity parametrization by Yoon and Kim (2005), improved nonlinear solver via Levenberg-Marquardt method ”
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].”