LEADER 05759nam 2200733Ia 450 001 9910819752103321 005 20200520144314.0 010 $a1-282-76006-8 010 $a9786612760068 010 $a1-84816-478-5 035 $a(CKB)2490000000001838 035 $a(EBL)731256 035 $a(OCoLC)670429484 035 $a(SSID)ssj0000424604 035 $a(PQKBManifestationID)11321888 035 $a(PQKBTitleCode)TC0000424604 035 $a(PQKBWorkID)10474254 035 $a(PQKB)10483920 035 $a(MiAaPQ)EBC731256 035 $a(WSP)0000P678 035 $a(Au-PeEL)EBL731256 035 $a(CaPaEBR)ebr10422498 035 $a(CaONFJC)MIL276006 035 $a(EXLCZ)992490000000001838 100 $a20090603d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOptimization and anti-optimization of structures under uncertainty /$fIsaac Elishakoff, Makoto Ohsaki 205 $a1st ed. 210 $aLondon $cImperial College Press$dc2010 215 $a1 online resource (424 p.) 300 $aDescription based upon print version of record. 311 $a1-84816-477-7 320 $aIncludes bibliographical references and index. 327 $aPreface; Contents; 1. Introduction; 1.1 Probabilistic Analysis: Bad News; 1.2 Probabilistic Analysis: Good News; 1.3 Convergence of Probability and Anti-Optimization; 2. Optimization or Making the Best in the Presence of Certainty/Uncertainty; 2.1 Introduction; 2.2 What Can We Get from Structural Optimization?; 2.3 Definition of the Structural Optimization Problem; 2.4 Various Formulations of Optimization Problems; 2.4.1 Overview of optimization problems; 2.4.2 Classification of optimization problems; 2.4.3 Parametric programming; 2.4.4 Multiobjective programming 327 $a2.5 Approximation by Metamodels2.6 Heuristics; 2.6.1 Overview of heuristics; 2.6.2 Basic approaches of single-point search heuristics; 2.6.2.1 Neighborhood solutions; 2.6.2.2 Basic algorithm of single-point search heuristics; 2.6.2.3 Greedy method; 2.6.3 Simulated annealing; 2.7 Classification of Structural Optimization Problems; 2.8 Probabilistic Optimization; 2.9 Fuzzy Optimization; 3. General Formulation of Anti-Optimization; 3.1 Introduction; 3.2 Models of Uncertainty; 3.3 Interval Analysis; 3.3.1 Introduction; 3.3.2 A simple example; 3.3.3 General procedure; 3.4 Ellipsoidal Model 327 $a3.4.1 Definition of the ellipsoidal model3.4.2 Properties of the ellipsoidal model; 3.5 Anti-Optimization Problem; 3.6 Linearization by Sensitivity Analysis; 3.6.1 Roles of sensitivity analysis in anti-optimization; 3.6.2 Sensitivity analysis of static responses; 3.6.3 Sensitivity analysis of free vibration; 3.6.4 Shape sensitivity analysis of trusses; 3.7 Exact Reanalysis of Static Response; 3.7.1 Overview of exact reanalysis; 3.7.2 Mathematical formulation based on the inverse of the modi ed matrix; 3.7.3 Mechanical formulation based on virtual load; 4. Anti-Optimization in Static Problems 327 $a4.1 A Simple Example4.2 Boley's Pioneering Problem; 4.3 Anti-Optimization Problem for Static Responses; 4.4 Matrix Perturbation Methods for Static Problems; 4.5 Stress Concentration at a Nearly Circular Hole with Uncertain Irregularities; 4.5.1 Introduction; 4.5.2 An asymptotic solution; 4.5.3 A worst-case investigation; 4.6 Anti-Optimization of Prestresses of Tensegrity Structures; 4.6.1 Introduction; 4.6.2 Basic equations; 4.6.2.1 Equilibrium equations; 4.6.2.2 Self-equilibrium forces; 4.6.2.3 Tangent stiffness matrix; 4.6.2.4 Lowest eigenvalue of tangent stiffness matrix 327 $a4.6.2.5 Compliance against external load4.6.3 Anti-optimization problem; 4.6.4 Numerical examples; 5. Anti-Optimization in Buckling; 5.1 Introduction; 5.2 A Simple Example; 5.3 Buckling Analysis; 5.4 Anti-Optimization Problem; 5.5 Worst Imperfection of Braced Frame with Multiple Buckling Loads; 5.5.1 Definition of frame model; 5.5.2 Worst imperfection of optimized frame; 5.5.3 Mode interaction; 5.5.4 Worst-case design and worst imperfection under stress constraints; 5.6 Anti-Optimization Based on Convexity of Stability Region 327 $a5.7 Worst Imperfection of an Arch-type Truss with Multiple Member Buckling at Limit Point 330 $aThe volume presents a collaboration between internationally recognized experts on anti-optimization and structural optimization, and summarizes various novel ideas, methodologies and results studied over 20 years. The book vividly demonstrates how the concept of uncertainty should be incorporated in a rigorous manner during the process of designing real-world structures. The necessity of anti-optimization approach is first demonstrated, then the anti-optimization techniques are applied to static, dynamic and buckling problems, thus covering the broadest possible set of applications. Finally, a 606 $aStructural optimization$xMathematics 606 $aStructural analysis (Engineering)$xMathematics 606 $aStructural stability$xMathematics 606 $aComputer-aided engineering 615 0$aStructural optimization$xMathematics. 615 0$aStructural analysis (Engineering)$xMathematics. 615 0$aStructural stability$xMathematics. 615 0$aComputer-aided engineering. 676 $a624.177130151 686 $a90-02$a90C47$a74P99$2msc 686 $aMTA 090f$2stub 700 $aElishakoff$b Isaac$031244 701 $aOhsaki$b Makoto$f1960-$0517286 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819752103321 996 $aOptimization and anti-optimization of structures under uncertainty$9850335 997 $aUNINA