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Optimization and anti-optimization of structures under uncertainty [[electronic resource] /] / Isaac Elishakoff, Makoto Ohsaki
| Optimization and anti-optimization of structures under uncertainty [[electronic resource] /] / Isaac Elishakoff, Makoto Ohsaki |
| Autore | Elishakoff Isaac |
| Pubbl/distr/stampa | London, : Imperial College Press, c2010 |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 624.177130151 |
| Altri autori (Persone) | ŌsakiMakoto <1960-> |
| Soggetto topico |
Structural optimization - Mathematics
Structural analysis (Engineering) - Mathematics Structural stability - Mathematics Computer-aided engineering |
| ISBN |
1-282-76006-8
9786612760068 1-84816-478-5 |
| Classificazione |
90-0290C4774P99
MTA 090f |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; 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
2.5 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 3.4.1 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 4.1 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 4.6.2.5 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 5.7 Worst Imperfection of an Arch-type Truss with Multiple Member Buckling at Limit Point |
| Record Nr. | UNINA-9910780883803321 |
Elishakoff Isaac
|
||
| London, : Imperial College Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimization and anti-optimization of structures under uncertainty / / Isaac Elishakoff, Makoto Ohsaki
| Optimization and anti-optimization of structures under uncertainty / / Isaac Elishakoff, Makoto Ohsaki |
| Autore | Elishakoff Isaac |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, : Imperial College Press, c2010 |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 624.177130151 |
| Altri autori (Persone) | OhsakiMakoto <1960-> |
| Soggetto topico |
Structural optimization - Mathematics
Structural analysis (Engineering) - Mathematics Structural stability - Mathematics Computer-aided engineering |
| ISBN |
1-282-76006-8
9786612760068 1-84816-478-5 |
| Classificazione |
90-0290C4774P99
MTA 090f |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; 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
2.5 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 3.4.1 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 4.1 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 4.6.2.5 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 5.7 Worst Imperfection of an Arch-type Truss with Multiple Member Buckling at Limit Point |
| Record Nr. | UNINA-9910819752103321 |
|
Elishakoff Isaac
|
||
| London, : Imperial College Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||