On simultaneous optimization of truss geometry and topology

DOI10.1007/s00158-006-0092-0zbMath1245.90112OpenAlexW1987124035MaRDI QIDQ445503

Wolfgang Achtziger

Publication date: 25 August 2012

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

Full work available at URL: https://doi.org/10.1007/s00158-006-0092-0

zbMATH Keywords

simultaneous optimizationtruss geometrytruss topology

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Multi-objective and goal programming (90C29) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Compliance or weight optimization in solid mechanics (74P05)

Related Items (9)

Inductor shape optimization for electromagnetic casting ⋮ Second-order cone programming formulations for a class of problems in structural optimization ⋮ A 99 line code for discretized Michell truss optimization written in Mathematica ⋮ A method for shape and topology optimization of truss-like structure ⋮ A lower-bound formulation for the geometry and topology optimization of truss structures under multiple loading ⋮ Infill topology and shape optimization of lattice‐skin structures ⋮ Cyclic seesaw process for optimization and identification ⋮ Stiffener layout optimization framework by isogeometric analysis-based stiffness spreading method ⋮ Isogeometric-analysis-based stiffness spreading method for truss layout optimization

Uses Software

• SNOPT

Cites Work

• Optimization of geometry in truss design
• Multiple-load truss topology and sizing optimization: Some properties of minimax compliance
• Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
• Optimization and nonsmooth analysis
• Differential properties of the marginal function in mathematical programming
• Equivalent displacement based formulations for maximum strength truss topology design
• Design of truss structures for minimum weight using genetic algorithms
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