Practical inverse analysis in engineering:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
1997
|
| Series: | CRC mechanical engineering series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 235 S. graph. Darst. 1 Diskette ; 9 cm |
| ISBN: | 084939659X |
Staff View
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Record in the Search Index
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| adam_text | IMAGE 1
PRACTICAI
INVERSE ANALYSIS IN ENGINEERING
DAVID M.TRUJILLO HENRY R. BUSBY
(G) CRC PRESS BOCA RATON NEW YORK
IMAGE 2
CONTENTS
CHAPTER 1 DYNAMIC PROGRAMMING 1
1.1 INTRODUCTION 1
1.2 THE SIMPLEST EXAMPLE 1
1.3 BELLMAN S PRINCIPLE OF OPLIMALITY 5
1.4 FIRST-ORDER DYNAMIC SYSTEM 6
1.5 GENERAL MULTIDIMENSIONAL SYSTEM 13
1.5.1 OPTIMAL INITIAL CONDITIONS 19
1.5.2 SIMPLE MULTIDIMENSIONAL SYSTEM 20
1.5.3 PRINCIPLE OF SUPERPOSITION 23
1.6 OPTIMAL CONTROL AS A MULTISTAGE DECISION PROCESS 25
CHAPTER 2 MATRICES AND DIFFERENTIAL EQUATIONS 31
2.1 INTRODUCTION 31
2.2 VECTOR-MATRIX CALCULUS 31
2.2.1 EIGENVECTORS AND EIGENVALUES 38
2.3 THE EXPONENTIAL MATRIX 42
2.3.1 FIRST-ORDER SYSTEM 42
2.3.2 MULTI-DEGREE-OF-FREEDOM SYSTEM 47
2.3.3 REDUCTION OF HIGHER-ORDER SYSTEMS 50
2.3.4 NUMERICAL EXAMPLE 53
2.4 APPROXIMATIONS TO THE EXPONENTIAL MATRIX 56
2.4.1 PADE APPROXIMATIONS 56
2.4.2 STRUCTURAL DYNAMICS 61
2.5 EIGENVALUE REDUCTION 64
CHAPTER 3 THE GENERAL INVERSE PROBLEM 67
3.1 INTRODUCTION 67
3.2 GENERALIZED CROSS VALIDATION 68
3.3 DYNAMIC PROGRAMMING AND GENERALIZED CROSS VALIDATION.... 75 3.4
CHANDRASEKHAR EQUATIONS 81
IMAGE 3
CHAPTER 4 THE INVERSE HEAT CONDUCTION PROBLEM 87
4.1 INTRODUCTION 87
4.2 ONE-DIMENSIONAL EXAMPLE 88
4.2.1 QUENCHING CURVES 92
4.2.2 GENERALIZED CROSS VALIDATION EXAMPLE 94
4.3 TWO-DIMENSIONAL EXAMPLE 96
4.3.1 CHEBYSHEV POLYNOMIALS 101
4.4 EIGENVALUE REDUCTION TECHNIQUE 102
4.5 L-CURVE ANALYSIS 104
CHAPTER 5 THE INVERSE STRUCTURAL DYNAMICS PROBLEM 111
5.1 INTRODUCTION 111
5.2 SINGLE-DEGREE-OF-FREEDOM 112
5.3 CANTILEVER BEAM PROBLEM 118
5.4 TWO-DIMENSIONAL PLATE PROBLEM 128
CHAPTER 6 SMOOTHING AND DIFFERENTIATING NOISY DATA 139
6.1 INTRODUCTION 139
6.2 POLYNOMIAL APPROXIMATION 140
6.3 FILTERING A 60 HZ SIGNAL 144
6.4 FREQUENCY ANALYSIS 148
6.5 TWO-DIMENSIONAL SMOOTHING 154
CHAPTER 7 NONLINEAR SYSTEMS 163
7.1 INTRODUCTION 163
7.2 LINEARIZATION METHODS 164
7.3 NONLINEAR INVERSE HEAT CONDUCTION 167
7.3.1 ONE-DIMENSIONAL EXAMPLE 168
7.3.2 TWO-DIMENSIONAL EXAMPLES 169
7.4 NONLINEAR SPRING EXAMPLE 174
7.5 SUCCESSIVE APPROXIMATION IN POLICY SPACE 176
7.5.1 FORMULATION 177
7.5.2 APPLICATION TO NONLINEAR SYSTEMS 179
7.5.3 NONLINEAR SPRING EXAMPLE 180
CHAPTER 8 SEQUENTIAL ESTIMATION AND SYSTEM IDENTIFICATION 183 8.1
INTRODUCTION 183
8.2 SEQUENTIAL ESTIMATION 184
8.2.1 SIMPLEST CASE 184
8.2.2 GENERAL SCALAR CASE 187
8.2.3 EXAMPLE 191
8.3 MULTIDIMENSIONAL SEQUENTIAL ESTIMATION 193
8.3.1 APPLICATION TO NONLINEAR SYSTEMS 198
8.3.2 EXAMPLE 199
8.4 EXTENDED LEVENBERG-MARQUARDT S METHOD 201
IMAGE 4
8.4.1 SEQUENTIAL ESTIMATION 205
8.4.2 CALCULATION OF THE JACOBIAN 206
BIBLIOGRAPHY 209
APPENDIX A DYNAVAL - A COMPUTER PROGRAM FOR THE SOLUTION OF THE GENERAL
INVERSE PROBLEM USING DYNAMIC PROGRAMMING AND GENERALIZED CROSS
VALIDATION 219
INDEX 231
|
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| isbn | 084939659X |
| language | English |
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| physical | 235 S. graph. Darst. 1 Diskette ; 9 cm |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | CRC Press |
| record_format | marc |
| series2 | CRC mechanical engineering series |
| spelling | Trujillo, David M. Verfasser aut Practical inverse analysis in engineering David M. Trujillo ; Henry R. Busby Boca Raton [u.a.] CRC Press 1997 235 S. graph. Darst. 1 Diskette ; 9 cm txt rdacontent n rdamedia nc rdacarrier CRC mechanical engineering series Engenharia (modelos matemáticos;processamento de dados) larpcal Datenverarbeitung Ingenieurwissenschaften Mathematisches Modell Dynamic programming Engineering Mathematical models Data processing Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Busby, Henry R. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007944748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Trujillo, David M. Busby, Henry R. Practical inverse analysis in engineering Engenharia (modelos matemáticos;processamento de dados) larpcal Datenverarbeitung Ingenieurwissenschaften Mathematisches Modell Dynamic programming Engineering Mathematical models Data processing Mathematisches Modell (DE-588)4114528-8 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4137304-2 |
| title | Practical inverse analysis in engineering |
| title_auth | Practical inverse analysis in engineering |
| title_exact_search | Practical inverse analysis in engineering |
| title_full | Practical inverse analysis in engineering David M. Trujillo ; Henry R. Busby |
| title_fullStr | Practical inverse analysis in engineering David M. Trujillo ; Henry R. Busby |
| title_full_unstemmed | Practical inverse analysis in engineering David M. Trujillo ; Henry R. Busby |
| title_short | Practical inverse analysis in engineering |
| title_sort | practical inverse analysis in engineering |
| topic | Engenharia (modelos matemáticos;processamento de dados) larpcal Datenverarbeitung Ingenieurwissenschaften Mathematisches Modell Dynamic programming Engineering Mathematical models Data processing Mathematisches Modell (DE-588)4114528-8 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| topic_facet | Engenharia (modelos matemáticos;processamento de dados) Datenverarbeitung Ingenieurwissenschaften Mathematisches Modell Dynamic programming Engineering Mathematical models Data processing |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007944748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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