000			05421cam a22003977a 4500
999			_c6917 _d6917
001			16781020
005			20200917161608.0
008			110516s2010 enka b 001 0 eng d
010			_a 2011377213
020			_a9781848164772
020			_a1848164777
040			_aSINUS _cSINUS _dBWK _dBWX _dBTCTA _erda
050	0	0	_aTA658.8 _b.E53 2010
082	0	4	_221 _a624.1 _bE.I.O
100	1		_aElishakoff, Isaac.
245	1	0	_aOptimization and anti-optimization of structures under uncertainty / _cIsaac Elishakoff, Makoto Ohsaki .
264			_aLondon : _bImperial College Press ; _aHackensack, NJ : _bDistributed by World Scientific, _c2010.
300			_axxii, 402 pages : _billustrations ; _c26 cm.
336			_2rdacontent _atext
337			_2rdamedia _aunmediated
338			_2rdacarrier _avolume
504			_aIncludes bibliographical references (p. 343-385) and indexes.
505	0		_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 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
520			_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, anti-optimization is fully utilized by a combination of structural optimization to produce the optimal design considering the worst-case scenario. This is currently the only book that covers the combination of optimization and anti-optimization. It shows how various optimization techniques are used in the novel anti-optimization technique, and how the structural optimization can be exponentially enhanced by incorporating the concept of worst-case scenario, thereby increasing the safety of the structures designed in various fields of engineering.
650		0	_aStructural optimization _xMathematics.
650		0	_aStructural analysis (Engineering) _xMathematics.
650		0	_aStructural stability _xMathematics.
650		0	_aComputer-aided engineering.
650		7	_aConstructions, Théorie des _xStabilité _xAnalyse mathématique.
650	0	7	_aStrukturelle Stabilität.
650	0	7	_aStrukturoptimierung.
700	1		_aOhsaki, Makoto, _d1960-
942			_cBK _2ddc