Inverse analyses with model reduction: proper orthogonal decomposition in structural mechanics
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2012
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIV, 204 S. graph. Darst. |
| ISBN: | 3642227023 9783642227028 9783642227035 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV039906320 | ||
| 003 | DE-604 | ||
| 005 | 20120224 | ||
| 007 | t | ||
| 008 | 120222s2012 d||| |||| 00||| eng d | ||
| 016 | 7 | |a 1012996263 |2 DE-101 | |
| 020 | |a 3642227023 |9 3-642-22702-3 | ||
| 020 | |a 9783642227028 |9 978-3-642-22702-8 | ||
| 020 | |a 9783642227035 |9 978-3-642-22703-5 | ||
| 035 | |a (OCoLC)794503907 | ||
| 035 | |a (DE-599)DNB1012996263 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-11 | ||
| 082 | 0 | |a 518.2 |2 22/ger | |
| 084 | |a ST 237 |0 (DE-625)143623: |2 rvk | ||
| 084 | |a 620 |2 sdnb | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Buljak, Vladimir |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Inverse analyses with model reduction |b proper orthogonal decomposition in structural mechanics |c Vladimir Buljak |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2012 | |
| 300 | |a XIV, 204 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben | ||
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Orthogonale Zerlegung |0 (DE-588)4361361-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Strukturmechanik |0 (DE-588)4126904-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ordnungsreduktion |0 (DE-588)4136085-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 0 | 1 | |a Ordnungsreduktion |0 (DE-588)4136085-0 |D s |
| 689 | 0 | 2 | |a Orthogonale Zerlegung |0 (DE-588)4361361-5 |D s |
| 689 | 0 | 3 | |a Strukturmechanik |0 (DE-588)4126904-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3845084&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-024765065 | |
Record in the Search Index
| _version_ | 1805146147040264192 |
|---|---|
| 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
XLLL
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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV039906320</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120224</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">120222s2012 d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1012996263</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3642227023</subfield><subfield code="9">3-642-22702-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642227028</subfield><subfield code="9">978-3-642-22702-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642227035</subfield><subfield code="9">978-3-642-22703-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)794503907</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1012996263</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">518.2</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ST 237</subfield><subfield code="0">(DE-625)143623:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">620</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Buljak, Vladimir</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Inverse analyses with model reduction</subfield><subfield code="b">proper orthogonal decomposition in structural mechanics</subfield><subfield code="c">Vladimir Buljak</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 204 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturangaben</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Orthogonale Zerlegung</subfield><subfield code="0">(DE-588)4361361-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Strukturmechanik</subfield><subfield code="0">(DE-588)4126904-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ordnungsreduktion</subfield><subfield code="0">(DE-588)4136085-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Ordnungsreduktion</subfield><subfield code="0">(DE-588)4136085-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Orthogonale Zerlegung</subfield><subfield code="0">(DE-588)4361361-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Strukturmechanik</subfield><subfield code="0">(DE-588)4126904-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=3845084&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024765065</subfield></datafield></record></collection> |
| id | DE-604.BV039906320 |
| illustrated | Illustrated |
| indexdate | 2024-07-21T00:25:17Z |
| institution | BVB |
| isbn | 3642227023 9783642227028 9783642227035 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024765065 |
| oclc_num | 794503907 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | XIV, 204 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT buljakvladimir inverseanalyseswithmodelreductionproperorthogonaldecompositioninstructuralmechanics |