Isogeometric analysis and shape optimal design of shell structures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2011
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| Schlagworte: | |
| Online-Zugang: | kostenfrei https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20110321-1002634-1-5 Inhaltsverzeichnis |
| Beschreibung: | VII, 130 Bl. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Kiendl, Josef M. |d 1980- |e Verfasser |0 (DE-588)1011400863 |4 aut | |
| 245 | 1 | 0 | |a Isogeometric analysis and shape optimal design of shell structures |c Josef M. Kiendl |
| 264 | 1 | |c 2011 | |
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Datensatz im Suchindex
| _version_ | 1804145659768471552 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
2 GEOMETRIC FUNDAMENTALS 7
2.1 MATHEMATICAL DESCRIPTION OF CURVES AND SURFACES 7
2.1.1 EXPLICIT REPRESENTATION 7
2.1.2 IMPLICIT REPRESENTATION 8
2.1.3 PARAMETRIC REPRESENTATION 9
2.2 NURBS CURVES AND SURFACES 10
2.2.1 BEZIER CURVES 10
2.2.2 B-SPLINES 12
2.2.2.1 KNOT VECTOR 12
2.2.2.2 BASIS FUNCTIONS 13
2.2.2.3 B-SPLINE CURVES 15
2.2.2.4 B-SPLINE SURFACES 17
2.2.2.5 B-SPLINE SOLIDS 18
2.2.3 NURBS 19
2.2.4 REFINEMENT 22
2.3 CONTINUITY 23
2.3.1 GEOMETRIC VS. PARAMETRIC CONTINUITY 23
2.3.2 G 1 CONTINUITY FOR B-SPLINE CURVES 23
2.3.3 G 1 CONTINUITY FOR B-SPLINE SURFACES 24
2.3.4 G 1 CONTINUITY FOR NURBS SURFACES 25
2.4 DIFFERENTIAL GEOMETRY OF SURFACES 26
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1012734366
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
3 STRUCTURAL MECHANICS OF SHELLS 29
3.1 FUNDAMENTALS OF CONTINUUM MECHANICS 29
3.1.1 KINEMATICS 29
3.1.2 CONSTITUTIVE EQUATIONS 30
3.1.3 EQUILIBRIUM 31
3.2 KIRCHHOFF-LOVE SHELL THEORY 33
3.3 LAMINATED PLATE THEORY 37
3.4 STRESS RECOVERY 38
4 ISOGEOMETRIC ANALYSIS 43
4.1 MOTIVATION 43
4.2 NURBS-BASED ISOGEOMETRIC ANALYSIS 44
4.2.1 ELEMENTS 44
4.2.2 MESH REFINEMENT 46
5 THE NURBS-BASED KIRCHHOFF-LOVE SHELL 49
5.1 ELEMENT FORMULATION 49
5.2 TREATMENT OF ROTATIONAL BOUNDARY CONDITIONS 55
6 BENCHMARKING 57
6.1 CANTILEVER PLATE 57
6.2 SHELL OBSTACLE COURSE 58
6.2.1 SCORDELIS-LO ROOF 58
6.2.2 PINCHED CYLINDER 59
6.2.3 HEMISPHERICAL SHELL 60
6.2.4 STRESS RECOVERY 61
6.3 BENCHMARKS FOR LARGE DEFORMATIONS 63
6.3.1 PLATE BENT TO A CIRCLE 64
6.3.2 TWISTED PLATE 65
7 MULTIPATCHES 67
7.1 SMOOTH MULTIPATCHES 67
7.1.1 CANTILEVER PLATE 68
VI
IMAGE 3
CONTENTS
7.1.2 FREE FORM SHELL 69
7.1.3 AUTOMATED COUPLING OF MULTIPLE PATCHES 70
7.2 THE BENDING STRIP METHOD FOR ARBITRARY MULTIPATCHES 73 7.2.1
CHOOSING A RELIABLE BENDING STRIP STIFFNESS 75 7.2.1.1 L-BEAM 75
7.2.1.2 CANTILEVER PLATE 76
7.2.1.3 HEMISPHERICAL SHELL 77
7.2.2 AUTOMATED COUPLING OF MULTIPLE PATCHES WITH BENDING STRIPS 79
7.2.3 NUMERICAL BENCHMARKS USING BENDING STRIPS 80
7.2.3.1 SHELL OBSTACLE COURSE 80
7.2.3.2 BENDING STRIPS FOR LARGE DEFORMATIONS 83 7.2.4 BENDING STRIPS
FOR COUPLING OF SHELLS AND SOLIDS 85
8 INTEGRATION OF DESIGN AND ANALYSIS 89
8.1 INTEGRATING ISOGEOMETRIC SHELL ANALYSIS INTO CAD 89 8.2
ANALYSIS-AWARE MODELING 92
8.2.1 ALTERNATIVE PARAMETRIZATIONS 92
8.2.2 TRIMMED SURFACES 95
9 ISOGEOMETRIC SHAPE OPTIMIZATION 99
9.1 MATHEMATICAL FORMULATION OF A STRUCTURAL OPTIMIZATION PROBLEM 100
9.1.1 OBJECTIVE FUNCTION 100
9.1.2 DESIGN VARIABLES 100
9.1.3 CONSTRAINTS 101
9.1.4 LAGRANGIAN FUNCTION AND KUHN-TUCKER CONDITIONS 102
9.2 OPTIMIZATION ALGORITHMS 102
9.3 SENSITIVITY ANALYSIS 103
9.3.1 GLOBAL FINITE DIFFERENCES 103
9.3.2 ANALYTICAL SENSITIVITY ANALYSIS 104
9.3.3 SEMI-ANALYTICAL SENSITIVITY ANALYSIS 105
9.3.4 DIRECT VS. ADJOINT SENSITIVITY ANALYSIS 105
9.4 SHAPE PARAMETRIZATION 106
VII
IMAGE 4
CONTENTS
9.4.1 CAD-BASED SHAPE OPTIMIZATION 106
9.4.2 FE-BASED SHAPE OPTIMIZATION 107
9.5 ISOGEOMETRIC SHAPE OPTIMIZATION 109
9.5.1 EXAMPLE: TUBE UNDER INTERNAL PRESSURE 110
10 FSI SIMULATION OF A WIND TURBINE BLADE 115
10.1 GEOMETRY DESCRIPTION 116
10.2 FLUID MECHANICS AND MESH MOTION PART 117
10.3 STRUCTURAL MECHANICS PART 118
10.4 RESULTS 120
11 CONCLUSIONS AND OUTLOOK 127
BIBLIOGRAPHY 137
VIII
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| language | English |
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| spelling | Kiendl, Josef M. 1980- Verfasser (DE-588)1011400863 aut Isogeometric analysis and shape optimal design of shell structures Josef M. Kiendl 2011 VII, 130 Bl. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2011 Schale (DE-588)4052003-1 gnd rswk-swf NURBS (DE-588)4376916-0 gnd rswk-swf Gestaltoptimierung (DE-588)4329076-0 gnd rswk-swf Isogeometrische Analyse (DE-588)7718401-4 gnd rswk-swf CAD (DE-588)4069794-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Schale (DE-588)4052003-1 s Gestaltoptimierung (DE-588)4329076-0 s CAD (DE-588)4069794-0 s NURBS (DE-588)4376916-0 s Isogeometrische Analyse (DE-588)7718401-4 s 1\p DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20110321-1002634-1-5 http://mediatum.ub.tum.de/node?id=1002634 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20110321-1002634-1-5 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022529505&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kiendl, Josef M. 1980- Isogeometric analysis and shape optimal design of shell structures Schale (DE-588)4052003-1 gnd NURBS (DE-588)4376916-0 gnd Gestaltoptimierung (DE-588)4329076-0 gnd Isogeometrische Analyse (DE-588)7718401-4 gnd CAD (DE-588)4069794-0 gnd |
| subject_GND | (DE-588)4052003-1 (DE-588)4376916-0 (DE-588)4329076-0 (DE-588)7718401-4 (DE-588)4069794-0 (DE-588)4113937-9 |
| title | Isogeometric analysis and shape optimal design of shell structures |
| title_auth | Isogeometric analysis and shape optimal design of shell structures |
| title_exact_search | Isogeometric analysis and shape optimal design of shell structures |
| title_full | Isogeometric analysis and shape optimal design of shell structures Josef M. Kiendl |
| title_fullStr | Isogeometric analysis and shape optimal design of shell structures Josef M. Kiendl |
| title_full_unstemmed | Isogeometric analysis and shape optimal design of shell structures Josef M. Kiendl |
| title_short | Isogeometric analysis and shape optimal design of shell structures |
| title_sort | isogeometric analysis and shape optimal design of shell structures |
| topic | Schale (DE-588)4052003-1 gnd NURBS (DE-588)4376916-0 gnd Gestaltoptimierung (DE-588)4329076-0 gnd Isogeometrische Analyse (DE-588)7718401-4 gnd CAD (DE-588)4069794-0 gnd |
| topic_facet | Schale NURBS Gestaltoptimierung Isogeometrische Analyse CAD Hochschulschrift |
| url | http://mediatum.ub.tum.de/node?id=1002634 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20110321-1002634-1-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022529505&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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