Optimization of Finite Dimensional Structures (Hardcover)

Various Formulations of Structural OptimizationOverview of structural optimizationHistory of structural optimizationStructural optimization problemPlastic designStress constraintsFully-stressed designOptimality criteria approachCompliance constraintFrequency constraintsConfiguration optimization of trussesMultiobjective structural optimizationHeuristic approachSimultaneous analysis and designDesign Sensitivity AnalysisOverview of design sensitivity analysisStatic responsesEigenvalues of free vibrationLinear buckling loadTransient responsesNonlinear responsesShape sensitivity analysis of trussesTopology Optimization of TrussesIntroductionMichell trussTopology optimization problemOptimization methodsStress constraintsMixed integer programming for topology optimization with discrete variablesGenetic algorithm for truss topology optimizationRandom search method using exact reanalysisMultiple eigenvalue constraintsApplication of data miningConfiguration Optimization of TrussesIntroductionGeneral formulation and methodologies of configuration optimizationGeneration of a link mechanismOptimization of Building FramesOverview of optimization of building framesLocal and global searches of approximate optimal designsParametric optimization of framesLocal search for multiobjective optimization of framesMultiobjective seismic design of building framesOptimization of Spatial Trusses and FramesIntroductionSeismic optimization of spatial trussesHeuristic approaches to optimization of a spatial frameShape optimization considering the designer’s preferenceShape optimization of a single-layer latticed shellConfiguration optimization of an arch-type truss with local geometrical constraintsSeismic design for spatially varying ground motionsSubstructure approach to seismic optimizationAppendixMathematical preliminariesRayleigh’s principleSingular value decompositionDirectional derivative and subgradientOptimization methodsSingle-point-search heuristicsMultiobjective programmingConstraint approachLinear weighted sum approachGoal programmingParametric structural optimization problemBezier surfaceAdjoint curveResponse spectrum approachCQC methodDesign response spectrumSensitivity analysis of mean maximum responseList of available standard sections of beams and columns