Elements of structural optimization.

zbMath0702.73047MaRDI QIDQ5905482

Raphael T. Haftka, Zafer Gürdal, Manohar P. Kamat

Publication date: 17 September 1992

Published in: Solid Mechanics and Its Applications (Search for Journal in Brave)

zbMATH Keywords

unconstrained optimizationLagrange multipliersdecompositionlimit analysisgradient methodseigenvalue problemstest problemsmultilevel optimizationstress constraintsminimum weight designfeasible directionlaminated composite materialssensitivity derivativestransient problemsaerospacecivil engineeringstatic displacementpenalty function methodsautomativedual and optimality criteriaFinite difference approximationsFully stressed designLinear and nonlinear static analysislinear mathematical programmingmachine industryone and several variablesoptimization packagessensitivity of discrete systemssequential linear and nonlinear programmingspecialized Quasi- Newton methodsstatic shape sensitivity

Mathematics Subject Classification ID

Newton-type methods (49M15) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Optimization of shapes other than minimal surfaces (49Q10) Optimization problems in solid mechanics (74P99) Sensitivity analysis for optimization problems on manifolds (49Q12)

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