On the maximization of the fundamental eigenvalue in topology optimization

DOI10.1007/s00158-007-0117-3zbMath1273.74408OpenAlexW2123551877MaRDI QIDQ373895

Wolfgang Achtziger, Michal Kočvara

Publication date: 25 October 2013

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

Full work available at URL: https://doi.org/10.1007/s00158-007-0117-3

Mathematics Subject Classification ID

Semidefinite programming (90C22) Optimization problems in solid mechanics (74P99) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (1)

Reliability-based topology optimization of double layer grids using a two-stage optimization method

Uses Software

• PENNON
• YALMIP
• PENBMI
• COMPleib

Cites Work

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• On single and bimodal optimum buckling loads of clamped columns
• Perturbation bounds for the definite generalized eigenvalue problem
• Aspects of semidefinite programming. Interior point algorithms and selected applications
• Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints
• Lectures on Modern Convex Optimization
• Optimization and nonsmooth analysis
• Equivalent displacement based formulations for maximum strength truss topology design
• On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems
• PENNON: A code for convex nonlinear and semidefinite programming
• On perturbations of matrix pencils with real spectra. II

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