Dual methods for optimizing finite element flexural systems

DOI10.1016/0045-7825(83)90078-6zbMath0493.73084OpenAlexW1972176634MaRDI QIDQ1168818

Claude Fleury, Guy Sander

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90078-6

zbMATH Keywords

numerical examplesdual methodsbehavior constraintsexplicit approximationscomplex algebraic formcomponents subject simultaneously to bending and extension loadscorrect up to first orderextended to general beam and flat shell elementsgeneralized optimality criterion GOC

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15) Optimization problems in solid mechanics (74P99)

Related Items (4)

Shape optimal design using B-splines ⋮ A finite element method with mesh-separation-based approximation technique and its application in modeling crack propagation with adaptive mesh refinement ⋮ Sizing optimization of truss structures by method of centers and force formulation ⋮ An optimization design method for large scale structures

Cites Work

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• An algorithm for optimal structural design with frequency constraints
• A mixed method in structural optimization
• Minimum Weight Design of Beams With Inequality Constraints on Stress and Deflection
• A computational method for optimal structural design. I. Piecewise uniform structures

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