Second-order cone programming formulations for a class of problems in structural optimization

DOI10.1007/s00158-009-0376-2zbMath1274.74235OpenAlexW2141651353MaRDI QIDQ381385

Athanasios Makrodimopoulos, Atul Bhaskar, Andy J. Keane

Publication date: 15 November 2013

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

Full work available at URL: https://eprints.soton.ac.uk/69908/1/Makr_2010.pdf

zbMATH Keywords

structural optimizationtruss optimizationsecond-order cone programmingthickness optimization

Mathematics Subject Classification ID

Nonlinear programming (90C30) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Compliance or weight optimization in solid mechanics (74P05)

Related Items (2)

A feasible directions method for nonsmooth convex optimization ⋮ Global optimization of trusses with constraints on number of different cross-sections: a mixed-integer second-order cone programming approach

Uses Software

• SeDuMi
• SDPT3
• PENNON
• Mosek
• GiD
• ESOFRAME

Cites Work

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• Solving semidefinite-quadratic-linear programs using SDPT3
• On simultaneous optimization of truss geometry and topology
• Effective reformulations of the truss topology design problem
• Generating optimal topologies in structural design using a homogenization method
• Optimal topologies of truss structures
• Applications of second-order cone programming
• On implementing a primal-dual interior-point method for conic quadratic optimization
• Performance characteristics of resizing algorithms for thickness optimization of plate structures.
• Lectures on Modern Convex Optimization
• Evolutionary thickness design with stiffness maximization and stress minimization criteria
• An improved approximation technique for the DCOC method of sizing optimization
• Optimal Truss Design by Interior-Point Methods
• Robust Truss Topology Design via Semidefinite Programming
• PENNON: A code for convex nonlinear and semidefinite programming
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Layout optimization of large‐scale pin‐jointed frames
• A New Method for Optimal Truss Topology Design

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