Regularizing constraints for mesh and shape optimization problems: = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Erlangen
Lehrstuhl für Techn. Mechanik, Univ. Erlangen-Nürnberg
2011
|
| Series: | Schriftenreihe technische Mechanik
5 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 172 S. Ill., graph. Darst. 21 cm |
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MARC
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| 100 | 1 | |a Scherer, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Regularizing constraints for mesh and shape optimization problems |b = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme |c von Michael Scherer |
| 246 | 1 | 1 | |a Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme |
| 264 | 1 | |a Erlangen |b Lehrstuhl für Techn. Mechanik, Univ. Erlangen-Nürnberg |c 2011 | |
| 300 | |a VII, 172 S. |b Ill., graph. Darst. |c 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Schriftenreihe technische Mechanik |v 5 | |
| 502 | |a Zugl.: Erlangen, Nürnberg, Univ., Diss., 2011 | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 830 | 0 | |a Schriftenreihe technische Mechanik |v 5 |w (DE-604)BV036421927 |9 5 | |
| 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=024485082&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-024485082 | |
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| _version_ | 1807319614496964608 |
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CONTENTS
1.
INTRODUCTION
1
1.1.
R-ADAPTIVE
MESH
OPTIMIZATION
.
1
1.2.
NODE-BASED
SHAPE
OPTIMIZATION
.
3
1.3.
OUTLINE
.
6
2.
ELASTOSTATICS
8
2.1.
GEOMETRICALLY
NONLINEAR
MODELING
.
8
2.1.1.
MECHANICAL
PROBLEM
.
8
2.1.2.
FINITE
ELEMENT
ANALYSIS
.
11
2.2.
GEOMETRICALLY
LINEAR
MODELING
.
16
2.2.1.
MECHANICAL
PROBLEM
.
16
2.2.2.
FINITE
ELEMENT
ANALYSIS
.
18
3.
R-ADAPTIVE
MESH
OPTIMIZATION
20
3.1.
BASIC
PRINCIPLE
.
20
3.2.
DEGREES
OF
FREEDOM
.
21
3.3.
(MESH)
OPTIMIZATION
PROBLEMS
.
24
3.4.
SENSITIVITY
ANALYSIS
.
25
4.
DISTORTION
CONSTRAINTS
28
4.1.
BASIC
FORM
.
29
4.2.
A
LOCAL
DEFORMATION
MEASURE
.
31
4.2.1.
PROPERTIES
.
31
4.2.2.
KINEMATICS
.
32
4.2.3.
DEFINITION
(AND
PROOF
OF
THE
PROPERTIES
PL
AND
P3)
.
34
4.3.
LINEAR
TRIANGULAR
AND
TETRAHEDRAL
ELEMENTS
.
37
4.4.
BILINEAR
QUADRILATERAL
ELEMENTS
.
38
4.5.
SHAPE
MEASURES
.
40
4.5.1.
THE
MEAN
RATIO
.
40
4.5.2.
A
SHAPE
MEASURE
FOR
QUADRILATERAL
ELEMENTS
.
42
4.6.
SENSITIVITY
ANALYSIS
.
42
5.
NUMERICAL
EXAMPLES
48
5.1.
PLATE
WITH
A
HOLE
-
2D
.
48
5.1.1.
REGULAR
INITIAL
MESHES
.
49
5.1.2.
IRREGULAR
INITIAL
MESHES
.
59
5.1.3.
COMPUTATIONAL
EFFORT
.
63
5.2.
PLATE
WITH
A
CRACK
.
67
V
5.3.
PLATE
WITH
A
HOLE
-
3D
.
68
5.3.1.
GEOMETRICALLY
LINEAR
ANALYSIS
.
71
5.3.2.
GEOMETRICALLY
NONLINEAR
ANALYSIS
.
73
6.
NODE-BASED
SHAPE
OPTIMIZATION
80
6.1.
A
STRUCTURAL
SHAPE
OPTIMIZATION
PROBLEM
.
80
6.1.1.
CONTINUOUS
PROBLEM
.
80
6.1.2.
DISCRETIZED
PROBLEM
.
82
7.
AN
ENERGY
CONSTRAINT
FOR
SHAPE
OPTIMIZATION
87
7.1.
FICTITIOUS
ENERGY
FUNCTIONAL
.
87
7.2.
DISCRETIZED
FICTITIOUS
ENERGY
.
90
7.3.
MESH
MOTION
TECHNIQUE
.
91
7.4.
THE
ENERGY
CONSTRAINT
.
93
7.4.1.
LARGE
SHAPE
CHANGES
.
96
7.5.
CONTINUOUS
REGULARIZED
SHAPE
OPTIMIZATION
PROBLEM
.
97
7.6.
SENSITIVITY
ANALYSIS
(OF
THE
DISCRETIZED
PROBLEM)
.
98
7.7.
OUTLOOK
.
101
7.7.1.
AN
ENERGY
CONSTRAINT
BASED
ON
THE
GEOMETRICALLY
LINEAR
THEORY
.
.
.
101
7.7.2.
FICTITIOUS
PRESSURE
FORCES
AS
DESIGN
VARIABLES
.
104
7.7.3.
MISCELLANEOUS
.
109
8.
NUMERICAL
EXAMPLES
110
8.1.
STRUCTURE
WITH
FOUR
HOLES
-
CONVERGENCE
STUDY
.
110
8.2.
PLATE
WITH
A
HOLE
.
114
8.2.1.
BIAXIAL
LOADING
.
115
8.2.2.
UNIAXIAL
LOADING
.
118
8.3.
BAR
UNDER
TENSION
.
120
8.4.
HOOK
-
2D
.
124
8.5.
HOOK
-
3D
.
127
8.6.
SHEET
METAL
PART
.
130
8.7.
DAM
.
132
8.8.
HEAD
OF
A
PRESSURE
VESSEL
.
136
9.
SUMMARY
AND
CONCLUSIONS
140
A.
NOTATION
142
B.
ON
PRESSURE
LOADS
AND
POTENTIALS
143
B.1.
A
VOLUME
POTENTIAL
FOR
PRESSURE
LOADS
.
144
B.2.
VOLUME-BASED
FINITE
ELEMENT
DISCRETIZATION
OF
PRESSURE
LOADS
.
145
B.2.1.
DISCRETIZATION
OF
THE
VOLUME
POTENTIAL
.
146
B.
2.2.
EXTENSION
TO
ARBITRARY
PRESSURE
FIELDS
.
147
C.
EXPLICIT
SENSITIVITIES
150
VI
D.
IMPLEMENTATION
154
D.1.
PENALTY-BARRIER
METHOD
.
154
D.
2.
STRUCTURE
OF
THE
OPTIMIZATION
CODES
.
158
VII |
| any_adam_object | 1 |
| author | Scherer, Michael |
| author_facet | Scherer, Michael |
| author_role | aut |
| author_sort | Scherer, Michael |
| author_variant | m s ms |
| building | Verbundindex |
| bvnumber | BV039635046 |
| classification_rvk | SK 870 |
| ctrlnum | (OCoLC)918106188 (DE-599)DNB1013086082 |
| dewey-full | 620.00151825 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.00151825 |
| dewey-search | 620.00151825 |
| dewey-sort | 3620.00151825 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mathematik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV039635046 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:11:35Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024485082 |
| oclc_num | 918106188 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | VII, 172 S. Ill., graph. Darst. 21 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Lehrstuhl für Techn. Mechanik, Univ. Erlangen-Nürnberg |
| record_format | marc |
| series | Schriftenreihe technische Mechanik |
| series2 | Schriftenreihe technische Mechanik |
| spelling | Scherer, Michael Verfasser aut Regularizing constraints for mesh and shape optimization problems = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme von Michael Scherer Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme Erlangen Lehrstuhl für Techn. Mechanik, Univ. Erlangen-Nürnberg 2011 VII, 172 S. Ill., graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Schriftenreihe technische Mechanik 5 Zugl.: Erlangen, Nürnberg, Univ., Diss., 2011 (DE-588)4113937-9 Hochschulschrift gnd-content Schriftenreihe technische Mechanik 5 (DE-604)BV036421927 5 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024485082&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Scherer, Michael Regularizing constraints for mesh and shape optimization problems = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme Schriftenreihe technische Mechanik |
| subject_GND | (DE-588)4113937-9 |
| title | Regularizing constraints for mesh and shape optimization problems = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme |
| title_alt | Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme |
| title_auth | Regularizing constraints for mesh and shape optimization problems = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme |
| title_exact_search | Regularizing constraints for mesh and shape optimization problems = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme |
| title_full | Regularizing constraints for mesh and shape optimization problems = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme von Michael Scherer |
| title_fullStr | Regularizing constraints for mesh and shape optimization problems = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme von Michael Scherer |
| title_full_unstemmed | Regularizing constraints for mesh and shape optimization problems = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme von Michael Scherer |
| title_short | Regularizing constraints for mesh and shape optimization problems |
| title_sort | regularizing constraints for mesh and shape optimization problems regularisierende nebenbedingungen fur netz und formoptimierungsprobleme |
| title_sub | = Regularisierende Nebenbedingungen für Netz- und Formoptimierungsprobleme |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024485082&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV036421927 |
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