Stochastic structural topology optimization: discretization and penalty function approach

DOI10.1007/s00158-003-0290-yzbMath1243.74152OpenAlexW2067781909WikidataQ61816446 ScholiaQ61816446MaRDI QIDQ438432

Michael Patriksson, Anton Evgrafov

Publication date: 31 July 2012

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

Full work available at URL: https://doi.org/10.1007/s00158-003-0290-y

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Variational problems in a geometric measure-theoretic setting (49Q20) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)

Related Items (8)

Component and system reliability-based topology optimization using a single-loop method ⋮ Complexity guarantees for an implicit smoothing-enabled method for stochastic MPECs ⋮ On globally stable singular truss topologies ⋮ Review of formulations for structural and mechanical system optimization ⋮ Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices ⋮ On the robustness of global optima and stationary solutions to stochastic mathematical programs with equilibrium constraints. I: Theory ⋮ Risk averse stochastic structural topology optimization ⋮ Asymptotic linear expansion of regularized M-estimators

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