Non-intrusive finite element reliability analysis methods:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Schlagworte: | |
| Online-Zugang: | kostenfrei https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120618-1096697-1-2 Inhaltsverzeichnis |
| Beschreibung: | X, 148 S. graph. Darst. |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804149348958732288 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
ABSTRACT V
ACKNOWLEDGEMENTS VII
CONTENTS IX
1 INTRODUCTION 1
1.1 MOTIVATION AND SCOPE 1
1.2 OUTLINE 3
2 MODELING OF UNCERTAINTIES 5
2.1 BASIC NOTIONS O F PROBABILITY 5
2.2 RANDOM VARIABLES 7
2.2.1 BASIC DEFINITIONS 7
2.2.2 COMMONLY USED DISTRIBUTIONS 9
2.3 RANDOM VECTORS 16
2.3.1 THE JOINT PROBABILITY DENSITY FUNCTION 16
2.3.2 TRANSFORMATION O F RANDOM VECTORS 18
2.3.3 THE GAUSSIAN JOINT PROBABILITY DENSITY FUNCTION 19
2.3.4 THE NATAF MODEL 20
2.4 RANDOM PROCESSES AND RANDOM FIELDS 21
2.4.1 BASIC DEFINITIONS 21
2.4.2 HOMOGENEOUS RANDOM FIELDS 22
2.4.3 DERIVATIVES O F RANDOM FIELDS 2 6
2.4.4 INTEGRALS O F RANDOM FIELDS 2 9
2.4.5 GAUSSIAN RANDOM FIELDS 30
2.4.6 NON-GAUSSIAN RANDOM FIELDS 31
2.5 DISCRETIZATION O F RANDOM FIELDS 3 2
2.5.1 POINT DI SCRETIZATI ON METHODS 33
2.5.2 AVERAGE DISCRETIZATION METHODS 36
2.5.3 SERIES EXPANSION METHODS 38
2.5.4 COMPARISON O F THE DISCRETIZATION METHODS 4 3
IX
HTTP://D-NB.INFO/1026739322
IMAGE 2
2.5.5 EMBEDDED-DOMAIN DISCRETIZATION O F RANDOM FIELDS 48
3 FUNDAMENTAL CONCEPTS OF RELIABILITY ANALYSIS 55
3.1 EVOLUTION O F DESIGN CONCEPTS 55
3.2 THE ELEMENTARY RELIABILITY PROBLEM 57
3.3 THE GENERALIZED RELIABILITY PROBLEM 59
3.3.1 GENERALIZATION O F THE PROBABILITY O F FAILURE 60
3.3.2 RELIABILITY MEASURES 61
3.4 THE SYSTEM RELIABILITY PROBLEM 61
4 FINITE ELEMENT RELIABILITY ASSESSMENT 65
4.1 INTRODUCTORY COMMENTS 65
4.2 ISOPROBABILISTIC TRANSFORMATION 66
4.3 THE FIRST ORDER RELIABILITY METHOD 68
4.3.1 OPTIMIZATION ALGORITHMS 71
4.3.2 COMPARISON O F THE OPTIMIZATION ALGORITHMS 75
4.3.3 SENSITIVITY MEASURES 77
4.4 THE INVERSE FIRST ORDER RELIABILITY METHOD 78
4.5 THE SECOND ORDER RELIABILITY METHOD 79
4.6 SYSTEM RELIABILITY USING FORM 81
4.7 SIMULATION METHODS 82
4.7.1 GENERATION O F RANDOM SAMPLES 83
4.7.2 THE MONTE CARLO METHOD 84
4.7.3 DIRECTIONAL SIMULATION 87
4.7.4 IMPORTANCE SAMPLING METHODS 90
4.7.5 COMPARISON O F THE SIMULATION METHODS 99
4.8 SIMULATION IN HIGH DIMENSIONS 103
4.8.1 THE SUBSET SIMULATION 104
4.9 RESPONSE SURFACE METHODS 107
5 BAYESIAN UPDATING OF RELIABILITY ESTIMATES I L L
5.1 INTRODUCTION I L L
5.2 UPDATING WITH EQUALITY INFORMATION 112
5.2.1 FIRST- AND SECOND-ORDER METHODS 112
5.2.2 A GENERAL APPROACH 113
6 NUMERICAL EXAMPLES 117
6.1 RELIABILITY ANALYSIS O F A DEEP CIRCULAR TUNNEL 117
6.1.1 FINITE ELEMENT SOLUTION O F TUNNEL DEFORMATION ANALYSIS 117
6.1.2 RESULTS WITHOUT SPATIAL VARIABILITY CONSIDERATIONS 119
6.1.3 FINITE ELEMENT MODEL INCLUDING SPATIAL VARIABILITY 120
6.1.4 RESULTS ACCOUNTING FOR SPATIAL VARIABILITY O F SOIL 121
6.2 RELIABILITY UPDATING O F A CANTILEVER EMBEDDED WALL 123
6.2.1 FINITE ELEMENT MODEL 123
6.2.2 LIMIT-STATE FUNCTIONS 125
6.2.3 RESULTS 126
6.3 RELIABILITY-BASED DESIGN O F SLOPE ANGLE 128
6.3.1 FINITE ELEMENT SLOPE STABILITY ANALYSIS 129
X
IMAGE 3
6.3.2 RESULTS
7 CONCLUSION
BIBLIOGRAPHY
|
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| discipline | Bauingenieurwesen |
| format | Thesis Book |
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| spelling | Papaioannou, Iason Verfasser (DE-588)102673908X aut Non-intrusive finite element reliability analysis methods Iason Papaioannou 2012 X, 148 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2012 Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Zufälliges Feld (DE-588)4191094-1 gnd rswk-swf Blackbox (DE-588)4539866-5 gnd rswk-swf Reliabilität (DE-588)4213628-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Zufälliges Feld (DE-588)4191094-1 s Reliabilität (DE-588)4213628-3 s Finite-Elemente-Methode (DE-588)4017233-8 s Blackbox (DE-588)4539866-5 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20120618-1096697-1-2 http://mediatum.ub.tum.de/node?id=1096697 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120618-1096697-1-2 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025175953&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Papaioannou, Iason Non-intrusive finite element reliability analysis methods Finite-Elemente-Methode (DE-588)4017233-8 gnd Zufälliges Feld (DE-588)4191094-1 gnd Blackbox (DE-588)4539866-5 gnd Reliabilität (DE-588)4213628-3 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4191094-1 (DE-588)4539866-5 (DE-588)4213628-3 (DE-588)4113937-9 |
| title | Non-intrusive finite element reliability analysis methods |
| title_auth | Non-intrusive finite element reliability analysis methods |
| title_exact_search | Non-intrusive finite element reliability analysis methods |
| title_full | Non-intrusive finite element reliability analysis methods Iason Papaioannou |
| title_fullStr | Non-intrusive finite element reliability analysis methods Iason Papaioannou |
| title_full_unstemmed | Non-intrusive finite element reliability analysis methods Iason Papaioannou |
| title_short | Non-intrusive finite element reliability analysis methods |
| title_sort | non intrusive finite element reliability analysis methods |
| topic | Finite-Elemente-Methode (DE-588)4017233-8 gnd Zufälliges Feld (DE-588)4191094-1 gnd Blackbox (DE-588)4539866-5 gnd Reliabilität (DE-588)4213628-3 gnd |
| topic_facet | Finite-Elemente-Methode Zufälliges Feld Blackbox Reliabilität Hochschulschrift |
| url | http://mediatum.ub.tum.de/node?id=1096697 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120618-1096697-1-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025175953&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT papaioannouiason nonintrusivefiniteelementreliabilityanalysismethods |