Free Material Optimization with Fundamental Eigenfrequency Constraints
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Publication:5189571
DOI10.1137/080717122zbMath1239.74011OpenAlexW2058495661MaRDI QIDQ5189571
Michael Stingl, Michal Kočvara, Günter R. Leugering
Publication date: 17 March 2010
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/6cfad04c3fef74da3d981c645a1bdb933e58edf1
Semidefinite programming (90C22) Applications of mathematical programming (90C90) Classical linear elasticity (74B05) Compliance or weight optimization in solid mechanics (74P05)
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Sufficient optimality conditions hold for almost all nonlinear semidefinite programs ⋮ Optimal design of multiphase composites under elastodynamic loading ⋮ Gradient-based concurrent topology and anisotropy optimization for mechanical structures ⋮ A new branch and bound method for a discrete truss topology design problem ⋮ Macro-microscale topological design for compliant mechanisms with special mechanical properties ⋮ Shape and topology optimization involving the eigenvalues of an elastic structure: a multi-phase-field approach ⋮ Integrated design of cellular composites using a level-set topology optimization method ⋮ A Subgradient Method for Free Material Design ⋮ A primal-dual interior point method for large-scale free material optimization
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