Inverse analyses with model reduction: proper orthogonal decomposition in structural mechanics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2012
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIV, 204 S. graph. Darst. |
| ISBN: | 3642227023 9783642227028 9783642227035 |
Internformat
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| 245 | 1 | 0 | |a Inverse analyses with model reduction |b proper orthogonal decomposition in structural mechanics |c Vladimir Buljak |
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Datensatz im Suchindex
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| adam_text |
IMAGE 1
CONTENTS
1 INVERSE ANALYSIS: INTRODUCTION 1
1.1 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 2
1.2 CLASSIFICATION O F INVERSE PROBLEMS AND THEIR APPLICATION 3
1.3 PARAMETER IDENTIFICATION PROBLEMS IN STRUCTURAL ANALYSES: SETTING UP
THE PROBLEM 6
1.4 SUMMARY 16
REFERENCES 18
2 OPTIMIZATION ALGORITHMS 19
2.1 LEAST SQUARES PROBLEMS 2 0
2.2 LINE SEARCH METHOD 21
2.2.1 LINE SEARCH WITH STEEPEST DESCEND DIRECTION 22
2.2.2 LINE SEARCH WITH NEWTON DIRECTION 29
2.2.3 LINE SEARCH IN LEAST SQUARES PROBLEMS 32
2.3 TRUST REGION 4 5
2.3.1 TRUST REGION ALGORITHM BASED ON CAUCHY POINT 47
2.3.2 DOG-LEG TRUST REGION 54
2.3.3 TWO-DIMENSIONAL SUBSPACE MINIMIZATION 59
2.4 GENETIC ALGORITHMS 71
2.5 SUMMARY 82
REFERENCES 83
3 PROPER ORTHOGONAL DECOMPOSITION AND RADIAL BASIS FUNCTIONS FOR FAST
SIMULATIONS 85
3.1 SHORT HISTORY O F PROPER ORTHOGONAL DECOMPOSITION 85
3.2 APPROXIMATION 86
3.2.1 POD APPROXIMATION 87
3.3 DISCRETE POD THEORY 88
3.3.1 PCA DERIVATION BY MINIMIZING THE ERROR O F APPROXIMATION 90
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HTTP://D-NB.INFO/1012996263
IMAGE 2
X I V
CONTENTS
3.3.2 PCA DERIVATION BASED ON CORRELATION MATRIX 96
3.3.3 CONSTRUCTION OF POD BASIS: SINGULAR VALUE DECOMPOSITION APPROACH
101
3.4 APPROXIMATION OF DISCRETE FIELDS USING POD 105
3.5 RADIAL BASIS FUNCTIONS FOR SCATTERED DATA INTERPOLATION I L L
3.6 POD-RBF PROCEDURE 120
3.7 ON SOURCES OF ERROR IN LOW-DIMENSIONAL POD-RBF APPROXIMATION 127
3.8 EXAMPLES OF THE USE O F POD-RBF PROCEDURE FOR FAST SIMULATION 130
3.8.1 EXAMPLE 1: TWO CYLINDERS IN RADIAL CONTACT 130
3.8.2 EXAMPLE 2: PLATE WITH CIRCULAR WHOLE 132
3.8.3 EXAMPLE 3: INDENTATION TEST 134
3.9 SUMMARY 137
REFERENCES 138
4 INVERSE ANALYSES IN STRUCTURAL PROBLEMS: PUTTING ALL THE PIECES
TOGETHER 141
4.1 CASE STUDY: ASSESSMENT O F TWO ELASTIC PARAMETERS FOR THE SANDWICH
CANTILEVER 142
4.1.1 FE MODEL OF THE EXPERIMENT 143
4.1.2 READING RESULTS FROM "DOT-FIL" FILE 147
4.1.3 BUILDING DISCREPANCY FUNCTION 149
4.1.4 SOLVING THE OPTIMIZATION PROBLEM 154
4.1.5 RESULTS O F INVERSE ANALYSES 159
4.2 CASE STUDY 2: ASSESSMENT OF PLASTIC PARAMETERS O F THIN PLATE 161
4.2.1 FE MODEL OF THE EXPERIMENT 163
4.2.2 READING THE RESULTS FROM "DOT-FIL" FILE 168
4.2.3 BUILDING DISCREPANCY FUNCTION 171
4.2.4 SOLVING THE OPTIMIZATION PROBLEM 175
4.2.5 RESULTS O F INVERSE ANALYSES 180
4.3 SUMMARY 182
REFERENCES 184
5 MODERN APPROACH TO INVERSE ANALYSES 185
5.1 ON-LINE OFF-LINE APPROACH 186
5.2 THE USE OF POD-RBF WITHIN INVERSE ANALYSIS CONTEXT 187
5.3 EXAMPLE OF THE USE OF POD-RBF IN INVERSE ANALYSES 188
5.3.1 DESIGN O F SOFTWARE FOR THE ASSESSMENT OF PARAMETERS 188
5.3.2 DETAILED PSEUDO-EXPERIMENTAL TESTING OF INVERSE ANALYSES PROCEDURE
197
5.4 SUMMARY 200
REFERENCES 201
INDEX 203 |
| any_adam_object | 1 |
| author | Buljak, Vladimir |
| author_facet | Buljak, Vladimir |
| author_role | aut |
| author_sort | Buljak, Vladimir |
| author_variant | v b vb |
| building | Verbundindex |
| bvnumber | BV039906320 |
| classification_rvk | ST 237 |
| ctrlnum | (OCoLC)794503907 (DE-599)DNB1012996263 |
| dewey-full | 518.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.2 |
| dewey-search | 518.2 |
| dewey-sort | 3518.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Maschinenbau / Maschinenwesen Informatik Mathematik |
| format | Book |
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| illustrated | Illustrated |
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| institution | BVB |
| isbn | 3642227023 9783642227028 9783642227035 |
| language | English |
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| spelling | Buljak, Vladimir Verfasser aut Inverse analyses with model reduction proper orthogonal decomposition in structural mechanics Vladimir Buljak Berlin [u.a.] Springer 2012 XIV, 204 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Inverses Problem (DE-588)4125161-1 gnd rswk-swf Orthogonale Zerlegung (DE-588)4361361-5 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf Inverses Problem (DE-588)4125161-1 s Ordnungsreduktion (DE-588)4136085-0 s Orthogonale Zerlegung (DE-588)4361361-5 s Strukturmechanik (DE-588)4126904-4 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3845084&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=024765065&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Buljak, Vladimir Inverse analyses with model reduction proper orthogonal decomposition in structural mechanics Inverses Problem (DE-588)4125161-1 gnd Orthogonale Zerlegung (DE-588)4361361-5 gnd Strukturmechanik (DE-588)4126904-4 gnd Ordnungsreduktion (DE-588)4136085-0 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4361361-5 (DE-588)4126904-4 (DE-588)4136085-0 |
| title | Inverse analyses with model reduction proper orthogonal decomposition in structural mechanics |
| title_auth | Inverse analyses with model reduction proper orthogonal decomposition in structural mechanics |
| title_exact_search | Inverse analyses with model reduction proper orthogonal decomposition in structural mechanics |
| title_full | Inverse analyses with model reduction proper orthogonal decomposition in structural mechanics Vladimir Buljak |
| title_fullStr | Inverse analyses with model reduction proper orthogonal decomposition in structural mechanics Vladimir Buljak |
| title_full_unstemmed | Inverse analyses with model reduction proper orthogonal decomposition in structural mechanics Vladimir Buljak |
| title_short | Inverse analyses with model reduction |
| title_sort | inverse analyses with model reduction proper orthogonal decomposition in structural mechanics |
| title_sub | proper orthogonal decomposition in structural mechanics |
| topic | Inverses Problem (DE-588)4125161-1 gnd Orthogonale Zerlegung (DE-588)4361361-5 gnd Strukturmechanik (DE-588)4126904-4 gnd Ordnungsreduktion (DE-588)4136085-0 gnd |
| topic_facet | Inverses Problem Orthogonale Zerlegung Strukturmechanik Ordnungsreduktion |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3845084&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024765065&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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