Shape optimization of shell structures based on NURBS description using automatic differentiation

DOI10.1002/nme.3183zbMath1242.74067OpenAlexW2046966497MaRDI QIDQ2894831

L. F. R. Espath, R. V. Linn, Armando M. Awruch

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3183

zbMATH Keywords

finite element methodautomatic differentiationstructural analysisNURBSmathematical optimization

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Optimization of other properties in solid mechanics (74P10) Numerical differentiation (65D25) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (13)

Scaled boundary isogeometric analysis for electrostatic problems ⋮ Structural shape optimization by IGABEM and particle swarm optimization algorithm ⋮ Two-step shape optimization methodology for designing free-form shells ⋮ An explicit time integration method for structural dynamics using septuple B-spline functions ⋮ A NURBS-based finite element model applied to geometrically nonlinear elastodynamics using a corotational approach ⋮ An integrated design approach for simultaneous shape and topology optimization of shell structures ⋮ Automatic differentiation using operator overloading (ADOO) for implicit resolution of hyperbolic single phase and two-phase flow models ⋮ 3D isogeometric boundary element analysis and structural shape optimization for Helmholtz acoustic scattering problems ⋮ Isogeometric structural shape optimization using automatic sensitivity analysis ⋮ Optimal shape of axisymmetric solids using NURBS and automatic differentiation ⋮ Adjoint optimization of pressurized membrane structures using automatic differentiation tools ⋮ Shape optimization by conventional and extended isogeometric boundary element method with PSO for two-dimensional Helmholtz acoustic problems ⋮ Fast and multiscale formation of isogeometric matrices of microstructured geometric models

Uses Software

• TAMC
• TAF

Cites Work

• Unnamed Item
• Optimal shapes of mechanically motivated surfaces
• Shape optimization of truss-stiffened shell structures with variable thickness
• Evaluating Derivatives
• Recipes for adjoint code construction
• A simple and effective element for analysis of general shell structures
• Numerical Optimization

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