Optimization methods: from theory to scientific design and technological aspects in mechanics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
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| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XVIII, 262 S. Ill., graph. Darst. |
| ISBN: | 9783642311871 9783642311864 3642311865 |
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| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2013 | |
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Datensatz im Suchindex
| _version_ | 1807954072733483008 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 FIRST STEPS IN OPTIMIZATION 1
1.2 TERMINOLOGY AND AIM IN OPTIMIZATION 1
1.3 DIFFERENT FACETS IN OPTIMIZATION 6
1.3.1 DESIGN OF EXPERIMENTS AND RESPONSE SURFACE MODELLING 6
1.3.2 OPTIMIZATION ALGORITHMS 7
1.3.3 ROBUST DESIGN ANALYSIS 8
1.4 LAYOUT O F THE BOOK 10
PART I OPTIMIZATION THEORY
2 DESIGN O F EXPERIMENTS 13
2.1 INTRODUCTION TO DOE 13
2.2 TERMINOLOGY IN DOE 14
2.3 DOE TECHNIQUES 15
2.3.1 RANDOMIZED COMPLETE BLOCK DESIGN 15
2.3.2 LATIN SQUARE 15
2.3.3 FULL FACTORIAL 17
2.3.4 FRACTIONAL FACTORIAL 21
2.3.5 CENTRAL COMPOSITE 24
2.3.6 BOX-BEHNKEN 25
2.3.7 PLACKETT-BURMAN 26
2.3.8 TAGUCHI 27
2.3.9 RANDOM 30
2.3.10 HALTON, FAURE, AND SOBOL SEQUENCES 32
2.3.11 LATIN HYPERCUBE 33
2.3.12 OPTIMAL DESIGN 36
2.4 CONCLUSIONS 41
X V
HTTP://D-NB.INFO/1022534181
IMAGE 2
XVI CONTENTS
3 RESPONSE SURFACE MODELLING 43
3.1 INTRODUCTION TO RSM 43
3.2 RSM TECHNIQUES 44
3.2.1 LEAST SQUARES METHOD 44
3.2.2 OPTIMAL RSM 4 9
3.2.3 SHEPARD AND K-NEAREST 50
3.2.4 KRIGING 50
3.2.5 GAUSSIAN PROCESSES 59
3.2.6 RADIAL BASIS FUNCTIONS 61
3.2.7 NEURAL NETWORKS 65
3.3 CONCLUSIONS 7 0
4 DETERMINISTIC OPTIMIZATION 77
4.1 INTRODUCTION TO DETERMINISTIC OPTIMIZATION 77
4.2 INTRODUCTION TO UNCONSTRAINED OPTIMIZATION 78
4.2.1 TERMINOLOGY 78
4.2.2 LINE-SEARCH APPROACH 80
4.2.3 TRUST REGION APPROACH 81
4.3 METHODS FOR UNCONSTRAINED OPTIMIZATION 82
4.3.1 SIMPLEX METHOD 82
4.3.2 NEWTON'S METHOD 85
4.3.3 QUASI-NEWTON METHODS 85
4.3.4 CONJUGATE DIRECTION METHODS 87
4.3.5 LEVENBERG-MARQUARDT METHODS 89
4.4 INTRODUCTION TO CONSTRAINED OPTIMIZATION 90
4.4.1 TERMINOLOGY 90
4.4.2 MINIMALITY CONDITIONS 92
4.5 METHODS FOR CONSTRAINED OPTIMIZATION 93
4.5.1 ELIMINATION METHODS 93
4.5.2 LAGRANGIAN METHODS 9 4
4.5.3 ACTIVE SET METHODS 95
4.5.4 PENALTY AND BARRIER FUNCTION METHODS 96
4.5.5 SEQUENTIAL QUADRATIC PROGRAMMING 97
4.5.6 MIXED INTEGER PROGRAMMING 97
4.5.7 NLPQLP 98
4.6 CONCLUSIONS 98
5 STOCHASTIC OPTIMIZATION 103
5.1 INTRODUCTION TO STOCHASTIC OPTIMIZATION 103
5.1.1 MULTI-OBJECTIVE OPTIMIZATION 105
5.2 METHODS FOR STOCHASTIC OPTIMIZATION 107
5.2.1 SIMULATED ANNEALING 107
5.2.2 PARTICLE SWARM OPTIMIZATION 110
5.2.3 GAME THEORY OPTIMIZATION 113
IMAGE 3
CONTENTS
XVII
5.2.4 EVOLUTIONARY ALGORITHMS 116
5.2.5 GENETIC ALGORITHMS 121
5.3 CONCLUSIONS 128
6 ROBUST DESIGN ANALYSIS 131
6.1 INTRODUCTION TO RDA 131
6.1.1 MORDO 132
6.1.2 RA 133
6.2 METHODS FOR RA 135
6.2.1 MONTE CARLO SIMULATION 135
6.2.2 FIRST ORDER RELIABILITY METHOD 136
6.2.3 SECOND ORDER RELIABILITY METHOD 137
6.2.4 IMPORTANCE SAMPLING 137
6.2.5 TRANSFORMED IMPORTANCE AND AXIS ORTHOGONAL SAMPLING 139
6.3 CONCLUSIONS 141
PART II APPLICATIONS
7 GENERAL GUIDELINES: HOW TO PROCEED IN AN OPTIMIZATION EXERCISE 147
7.1 INTRODUCTION 147
7.2 OPTIMIZATION METHODS 147
7.2.1 DESIGN OF EXPERIMENTS 149
7.2.2 RESPONSE SURFACE MODELLING 149
7.2.3 STOCHASTIC OPTIMIZATION 150
7.2.4 DETERMINISTIC OPTIMIZATION 151
7.2.5 ROBUST DESIGN ANALYSIS 152
8 A FORCED CONVECTION APPLICATION: SURFACE OPTIMIZATION FOR ENHANCED
HEAT TRANSFER 153
8.1 INTRODUCTION 153
8.2 THE CASE 154
8.3 METHODOLOGICAL ASPECTS 159
8.3.1 EXPERIMENTS VERSUS SIMULATIONS 160
8.3.2 ' OBJECTIVES O F THE OPTIMIZATION 160
8.3.3 INPUT VARIABLES 162
8.3.4 CONSTRAINTS 164
8.3.5 THE CHOSEN OPTIMIZATION PROCESS 165
8.4 RESULTS 166
8.5 CONCLUSIONS 172
IMAGE 4
XVIII
CONTENTS
9 A NATURAL CONVECTION APPLICATION: OPTIMIZATION
O F RIB ROUGHENED CHIMNEYS 175
9.1 INTRODUCTION 175
9.2 THE CASE 176
9.3 METHODOLOGICAL ASPECTS 178
9.3.1 EXPERIMENTS VERSUS SIMULATIONS 179
9.3.2 OBJECTIVES O F THE OPTIMIZATION 179
9.3.3 INPUT VARIABLES 181
9.3.4 CONSTRAINTS 182
9.3.5 THE CHOSEN OPTIMIZATION PROCESS 183
9.4 RESULTS 185
9.5 CONCLUSIONS 190
10 AN ANALYTICAL APPLICATION: OPTIMIZATION O F A STIRLING ENGINE BASED
ON THE SCHMIDT ANALYSIS AND ON THE ADIABATIC ANALYSIS . . . 195 10.1
INTRODUCTION 195
10.1.1 THE STIRLING THERMODYNAMIC CYCLE 196
10.1.2 THE SCHMIDT ANALYSIS 197
10.1.3 THE ADIABATIC ANALYSIS 200
10.2 THE CASE 204
10.3 METHODOLOGICAL ASPECTS 206
10.3.1 EXPERIMENTS VERSUS SIMULATIONS 206
10.3.2 OBJECTIVES OF THE OPTIMIZATION 206
10.3.3 INPUT VARIABLES 208
10.3.4 CONSTRAINTS 209
10.3.5 THE CHOSEN OPTIMIZATION PROCESS 210
10.4 RESULTS 211
10.5 CONCLUSIONS 223
11 CONCLUSIONS 225
11.1 WHAT WOULD BE THE BEST THING TO DO? 225
11.2 DESIGN OF EXPERIMENTS 227
11.3 RESPONSE SURFACE MODELLING 228
11.4 STOCHASTIC OPTIMIZATION 228
11.5 DETERMINISTIC OPTIMIZATION 229
11.6 ROBUST DESIGN ANALYSIS 229
11.7 FINAL CONSIDERATIONS . 230
APENDIX A: SCRIPTS 233
REFERENCES 251
INDEX 257 |
| any_adam_object | 1 |
| author | Cavazzuti, Marco |
| author_facet | Cavazzuti, Marco |
| author_role | aut |
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| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1015196 |
| dewey-search | 620.1015196 |
| dewey-sort | 3620.1015196 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mathematik |
| format | Book |
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| language | English |
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| spelling | Cavazzuti, Marco Verfasser aut Optimization methods from theory to scientific design and technological aspects in mechanics Marco Cavazzuti Berlin [u.a.] Springer 2013 XVIII, 262 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Strukturoptimierung (DE-588)4183811-7 gnd rswk-swf Strukturoptimierung (DE-588)4183811-7 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4043975&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025347072&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | Optimization methods from theory to scientific design and technological aspects in mechanics |
| title_auth | Optimization methods from theory to scientific design and technological aspects in mechanics |
| title_exact_search | Optimization methods from theory to scientific design and technological aspects in mechanics |
| title_full | Optimization methods from theory to scientific design and technological aspects in mechanics Marco Cavazzuti |
| title_fullStr | Optimization methods from theory to scientific design and technological aspects in mechanics Marco Cavazzuti |
| title_full_unstemmed | Optimization methods from theory to scientific design and technological aspects in mechanics Marco Cavazzuti |
| title_short | Optimization methods |
| title_sort | optimization methods from theory to scientific design and technological aspects in mechanics |
| title_sub | from theory to scientific design and technological aspects in mechanics |
| topic | Strukturoptimierung (DE-588)4183811-7 gnd |
| topic_facet | Strukturoptimierung |
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