Minimization of the expected compliance as an alternative approach to multiload truss optimization

DOI10.1007/s00158-004-0488-7zbMath1243.74133OpenAlexW2042016018MaRDI QIDQ438496

Felipe Alvarez, Miguel Carrasco

Publication date: 31 July 2012

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

Full work available at URL: http://hdl.handle.net/10533/175916

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)

Related Items (11)

Robust topology optimization of continuum structures with loading uncertainty using a perturbation method ⋮ Application of the sequential parametric convex approximation method to the design of robust trusses ⋮ Discrete multi-load truss sizing optimization: model analysis and computational experiments ⋮ Robust optimal shape design for an elliptic PDE with uncertainty in its input data ⋮ On Shape Optimization with Stochastic Loadings ⋮ A variance-expected compliance model for structural optimization ⋮ Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices ⋮ Stochastic topology design optimization for continuous elastic materials ⋮ Robust compliance-based topology optimization: a discussion on physical consistency ⋮ Robust topology optimization for multi-material structures under interval uncertainty ⋮ A general framework for robust topology optimization under load-uncertainty including stress constraints

Cites Work

• Multiple-load truss topology and sizing optimization: Some properties of minimax compliance
• Equivalent displacement based formulations for maximum strength truss topology design
• Optimal Truss Design by Interior-Point Methods
• Penalty/Barrier Multiplier Methods for Convex Programming Problems
• Robust Truss Topology Design via Semidefinite Programming
• Stochastic structural topology optimization: existence of solutions and sensitivity analyses
• A New Method for Optimal Truss Topology Design
• Optimal design of trusses under a nonconvex global buckling constraint

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