An iterative method for finite dimensional structural optimization problems with repeated eigenvalues

DOI10.1002/nme.1620190110zbMath0497.73098OpenAlexW2086721317MaRDI QIDQ3962618

Hwal G. Seong, Kyung Kook Choi, E. J. jun. Haug

Publication date: 1983

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.1620190110

zbMATH Keywords

algorithmcolumnsgeneralized gradient projection methodportal framesconstraints on natural frequency and on bucklingdirectional derivative formulafinite dimensional structural optimizationnondifferentiable repeated eigenvaluestwenty-five-member transmission tower

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Optimization problems in solid mechanics (74P99) Mathematical programming (90C99) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items

Calculation of eigenpair derivatives for asymmetric damped systems with distinct and repeated eigenvalues ⋮ A review of optimization of structures subjected to transient loads ⋮ Optimal inertia lumping from modal mass matrices for structural dynamics ⋮ Review of options for structural design sensitivity analysis. I: Linear systems ⋮ Localization of multi-constrained optima and avoidance of local optima in structural optimization problems

Uses Software

• EISPACK

Cites Work

• Problems of Optimal Structural Design

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