Topology optimization considering material and geometric uncertainties using stochastic collocation methods

DOI10.1007/s00158-012-0791-7zbMath1274.74360OpenAlexW2067977245MaRDI QIDQ381875

Mattias Schevenels, Ole Sigmund, Boyan Stefanov Lazarov

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-012-0791-7

zbMATH Keywords

sparse gridstopology optimizationrobust designstochastic collocationgeometric uncertaintiesmaterial uncertainties

Mathematics Subject Classification ID

Stochastic programming (90C15) Topological methods for optimization problems in solid mechanics (74P15) Sensitivity analysis for optimization problems on manifolds (49Q12)

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Cites Work

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• Volume preserving nonlinear density filter based on Heaviside functions
• Level set based robust shape and topology optimization under random field uncertainties
• On projection methods, convergence and robust formulations in topology optimization
• A new level-set based approach to shape and topology optimization under geometric uncertainty
• Heaviside projection based topology optimization by a PDE-filtered scalar function
• Robust topology optimization accounting for spatially varying manufacturing errors
• The stochastic finite element method: past, present and future
• Robust optimization - a comprehensive survey
• Quasi-Monte Carlo integration
• Computational methods in optimization considering uncertainties - An overview
• Structural optimization under uncertain loads and nodal locations
• Filters in topology optimization
• Filters in topology optimization based on Helmholtz-type differential equations
• Topology optimization with geometric uncertainties by perturbation techniques
• Robust Truss Topology Design via Semidefinite Programming
• Achieving minimum length scale in topology optimization using nodal design variables and projection functions
• High-Order Collocation Methods for Differential Equations with Random Inputs
• The Homogeneous Chaos
• Topology optimization of nonlinear elastic structures and compliant mechanisms

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