LEADER 05572nam 2200709Ia 450 001 9910138861503321 005 20230420210746.0 010 $a1-118-71190-4 010 $a1-118-71183-1 010 $a1-299-47592-2 010 $a1-118-71180-7 035 $a(CKB)2550000001020375 035 $a(EBL)1168530 035 $a(OCoLC)850221046 035 $a(SSID)ssj0000904915 035 $a(PQKBManifestationID)11476870 035 $a(PQKBTitleCode)TC0000904915 035 $a(PQKBWorkID)10925019 035 $a(PQKB)11437304 035 $a(MiAaPQ)EBC1168530 035 $a(Au-PeEL)EBL1168530 035 $a(CaPaEBR)ebr10687764 035 $a(CaONFJC)MIL478842 035 $a(PPN)185426786 035 $a(EXLCZ)992550000001020375 100 $a20130418d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aUncertainty and optimization in structural mechanics /$fAbdelkhalak El Hami, Radi Bouchaib 210 1$aLondon :$cWiley,$d2013. 215 $a1 online resource (145 pages) 225 1 $aFOCUS Series 300 $aDescription based upon print version of record. 311 0 $a1-84821-517-7 327 $aTitle Page; Contents; Preface; CHAPTER 1. UNCERTAINTY; 1.1. Introduction; 1.2. The optimization problem; 1.3. Sources of uncertainty; 1.4. Dealing with uncertainty; 1.4.1. Reliability optimization; 1.4.2. Robust optimization; 1.4.3. Multi-object optimization; 1.4.4. Stochastic optimization; 1.4.5. Worst-case scenario based optimization; 1.4.6. Non-probabilistic optimization; 1.4.7. Interval modeling; 1.4.8. Fuzzy sets; 1.5. Analyzing sensitivity; 1.5.1. Local sensitivity analysis; 1.5.2. Global sensitivity analysis; CHAPTER 2. RELIABILITY IN MECHANICAL SYSTEMS; 2.1. Introduction 327 $a2.2. A structure reliability problem; 2.3. Modeling a structure reliability problem; 2.3.1. A deterministic mechanical model; 2.3.2. Risks and probabilistic modeling; 2.3.3. Types of failure in a structure; 2.3.4. Probability of failure in a structure; 2.4. Calculating the probability of failure in a structure; 2.4.1. Calculating the probability of failure using the Monte Carlo method; 2.4.2. Calculating the probability of failure using a reliability index; 2.5. Reliability indices; 2.5.1. The Rjanitzyne-Cornell index; 2.5.2. The Hasofer-Lind index; 2.5.3. The FORM method 327 $a2.5.4. The SORM method; 2.6. Overview of the resistance-sollicitation problem; 2.6.1. Probability of failure; 2.6.2. Reliability indices; 2.7. System reliability in mechanics; 2.7.1. Combinations of types of failure; 2.7.2. Assessment of the failure probability of a system; 2.8. The finite element method and structural reliability; 2.8.1. Context and objectives of the problem; 2.8.2. Discretization and modeling random fields; 2.8.3. Mechano-reliability coupling; 2.8.4. Surface response coupling; CHAPTER 3. OPTIMAL STRUCTURAL DESIGN; 3.1. Introduction 327 $a3.2. Historical development of structural optimization; 3.3. Classifying structural optimization problems; 3.3.1. Dimensional optimization; 3.3.2. Topological optimization; 3.3.3. Shape optimization; CHAPTER 4. MULTI-OBJECT OPTIMIZATION WITH UNCERTAINTY; 4.1. Introduction; 4.1.1. Choice of an optimization method; 4.1.2. Classifying optimization methods; 4.2. User classification; 4.3. Design classification; 4.4. Multi-objective genetic algorithms; 4.5. Robust multi-objective optimization; 4.5.1. Robustness criteria in multi-objective optimization; 4.6. Normal boundary intersection method 327 $a4.6.1. Description of the NBI method; 4.7. Multi-objective structural optimization problem; CHAPTER 5. ROBUST OPTIMIZATION; 5.1. Introduction; 5.2. Modeling uncertainty; 5.2.1. Parametric methods; 5.2.2. Non-parametric methods; 5.3. Accounting for robustness in optimum research; 5.4. Robustness criteria; 5.4.1. Defining uncertainty in design parameters; 5.4.2. Robustness criteria in multi-objective optimization; 5.5. Resolution method; 5.6. Examples of mono-objective optimization; CHAPTER 6. RELIABILITY OPTIMIZATION; 6.1. Introduction; 6.2. Overview of reliability optimization; 6.3. Reliability optimization methods 330 $aOptimization is generally a reduction operation of a definite quantity. This process naturally takes place in our environment and through our activities. For example, many natural systems evolve, in order to minimize their potential energy. Modeling these phenomena then largely relies on our capacity to artificially reproduce these processes. In parallel, optimization problems have quickly emerged from human activities, notably from economic concerns. This book includes the most recent ideas coming from research and industry in the field of optimization, reliability and the recognition of a 410 0$aColeccion "FOCUS". 606 $aStructural analysis (Engineering) 606 $aStructural design 606 $aStructural optimization 606 $aUncertainty (Information theory) 615 0$aStructural analysis (Engineering) 615 0$aStructural design. 615 0$aStructural optimization. 615 0$aUncertainty (Information theory) 676 $a624.17 700 $aEl Hami$b Abdelkhalak$0930844 701 $aBouchaib$b Radi$0930845 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910138861503321 996 $aUncertainty and optimization in structural mechanics$92094011 997 $aUNINA