Algorithm-Driven Truss Topology Optimization for Additive Manufacturing:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Wiesbaden
Vieweg
[2022]
|
| Subjects: | |
| Online Access: | Inhaltstext http://www.springer.com/ Inhaltsverzeichnis |
| Physical Description: | 21 cm x 14.8 cm |
| ISBN: | 9783658362102 3658362103 |
Staff View
MARC
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| 264 | 1 | |a Wiesbaden |b Vieweg |c [2022] | |
| 264 | 4 | |c © 2022 | |
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| 653 | |a Generative Design | ||
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| 653 | |a Operations Research | ||
| 653 | |a Engineering Optimization | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
1
INTRODUCTION
...................................................................................................
1
1.1
MOTIVATION
........................................................................................
1
1.2
STRUCTURE
OF
THE
THESIS
...................................................................
3
1.3
OWN
CONTRIBUTION
TO
KNOWLEDGE
................................................
..
5
2
PHYSICAL
AND
TECHNICAL
BACKGROUND
.........................................................
9
2.1
STRUCTURAL
MECHANICS
.......................................................................
9
2.1.1
THREE-DIMENSIONAL
CONTINUUM
MECHANICS
.......................
10
2.1.2
ONE-DIMENSIONAL
LINEAR
THEORY
OF
STRUCTURAL
MEMBERS
...............................................................................
17
2.1.3
TRUSS
STRUCTURES
...................................................................
20
2.2
ADDITIVE
MANUFACTURING
...................................................................
27
2.2.1
BASICS
.....................................................................................
27
2.2.2
TECHNOLOGIES
.........................................................................
30
2.2.3
SUPPORT
STRUCTURES
...............................................................
35
2.3
MATHEMATICAL
PROGRAMMING
............................................................
37
2.3.1
GRAPH
THEORY
AND
FLOW
IN
NETWORKS
...............................
38
2.3.2
MIXED-INTEGER
LINEAR
PROGRAMMING
...................................
40
2.3.3
THE
OPTIMALITY
GAP
............................................................
41
3
OPTIMIZATION
OF
TRUSS
STRUCTURES
..............................................................
45
3.1
THE
PROBLEM
STATEMENT
....................................................................
45
3.1.1
THEORETICAL
BASICS
...............................................................
45
3.1.2
THE
GROUND
STRUCTURE
APPROACH
........................................
51
3.1.3
TRUSS
TOPOLOGY
OPTIMIZATION
............................................
54
XI
XII
CONTENTS
3.2
RELATED
WORK
.....................................................................................
59
3.2.1
LITERATURE
REVIEW
................................................................
59
3.2.2
THE
GLOBAL
OPTIMIZATION
PERSPECTIVE
...............................
61
3.2.3
THE
ENGINEERING
PERSPECTIVE
...............................................
67
4
BRIDGING
ALGORITHM-DRIVEN
TRUSS
OPTIMIZATION
AND
ADDITIVE
MANUFACTURING
..................................................................................................
71
4.1
ALGORITHM-DRIVEN
DESIGN
METHODOLOGY
FOR
ADDITIVE
MANUFACTURING
...................................................................................
71
4.1.1
A
TECHNICAL
OPERATIONS
RESEARCH
APPROACH
.....................
71
4.1.2
AN
ALGORITHM-DRIVEN
PRODUCT
DESIGN
PROCESS
...................
73
4.2
BASIC
PROBLEM
STATEMENTS
AND
KINEMATIC
INDETERMINACY
............
76
4.2.1
BASIC
PROBLEM
STATEMENTS
..................................................
76
4.2.2
KINEMATIC
COMPATIBILITY
....................................................
78
4.3
PREPARATIONS
TOWARDS
A
TRUSS
DESIGN
PROBLEM
.............................
80
4.3.1
STRUCTURAL
MEMBER
................................................................
80
4.3.2
FORCE
EQUILIBRIUM
................................................................
81
4.3.3
MOMENT
EQUILIBRIUM
............................................................
83
4.4
DESIGN
SPACE
.....................................................................................
83
4.4.1
ADDITIVE
MANUFACTURING
CONSTRAINTS
...................................
83
4.4.2
ASSEMBLY
SPACE
....................................................................
85
4.4.3
GROUND
STRUCTURE
..................................................................
86
4.5
SUPPORT
STRUCTURE
OPTIMIZATION
......................................................
87
5
MIXED-INTEGER
LINEAR
PROGRAMMING
FOR
TRUSS
OPTIMIZATION
..........
91
5.1
PRELIMINARIES
.....................................................................................
91
5.2
THE
MILP
TTOI;
P
FOR
POWDER-BASED
ADDITIVE
MANUFACTURING
...................................................................................
94
5.3
THE
MILP
TTO]
;S
FOR
SUPPORT-FREE
TRUSS-LIKE
STRUCTURES
..........
99
5.4
THE
MILP
TTOI
;M
FOR
MANUFACTURABLE
CROSS-SECTIONAL
AREAS
...................................................................................................
104
5.5
THE
QMIP
TTOI
;
Q
FOR
ROBUST
TRUSS
TOPOLOGY
OPTIMIZATION
....
107
6
CAD-BASED
MATHEMATICAL
OPTIMIZATION
..................................................
115
6.1
MOTIVATION
.........................................................................................
115
6.2
IMPLEMENTATION
DETAILS
....................................................................
117
6.3
PERFORMANCE
STUDY
............................................................................
134
6.4
USER
INTERFACE
...................................................................................
143
CONTENTS
XIII
7
COMPUTATIONAL
STUDY
...................................................................................
147
7.1
OPTIMIZATION
FOR
POWDER-BASED
ADDITIVE
MANUFACTURING
SYSTEMS:
MILP
TTOHP
....................................................................
148
7.2
OPTIMIZATION
OF
SUPPORT-FREE
TRUSS-LIKE
STRUCTURES:
MILP
TTOI
;S
.................................................................................................
152
7.3
SEGMENTED
BLANK
HOLDER:
MILP
TTOI
:M
...........................
156
7.4
ROBUST
TRUSS
OPTIMIZATION:
QMIP
TTOI
;Q
.....................................
165
8
CONCLUSION
AND
OUTLOOK
...............................................................................
179
8.1
CONCLUSION
.........................................................................................
179
8.2
OUTLOOK
...............................................................................................
181
BIBLIOGRAPHY
............................................................................................................
183
|
| adam_txt |
CONTENTS
1
INTRODUCTION
.
1
1.1
MOTIVATION
.
1
1.2
STRUCTURE
OF
THE
THESIS
.
3
1.3
OWN
CONTRIBUTION
TO
KNOWLEDGE
.
'.
5
2
PHYSICAL
AND
TECHNICAL
BACKGROUND
.
9
2.1
STRUCTURAL
MECHANICS
.
9
2.1.1
THREE-DIMENSIONAL
CONTINUUM
MECHANICS
.
10
2.1.2
ONE-DIMENSIONAL
LINEAR
THEORY
OF
STRUCTURAL
MEMBERS
.
17
2.1.3
TRUSS
STRUCTURES
.
20
2.2
ADDITIVE
MANUFACTURING
.
27
2.2.1
BASICS
.
27
2.2.2
TECHNOLOGIES
.
30
2.2.3
SUPPORT
STRUCTURES
.
35
2.3
MATHEMATICAL
PROGRAMMING
.
37
2.3.1
GRAPH
THEORY
AND
FLOW
IN
NETWORKS
.
38
2.3.2
MIXED-INTEGER
LINEAR
PROGRAMMING
.
40
2.3.3
THE
OPTIMALITY
GAP
.
41
3
OPTIMIZATION
OF
TRUSS
STRUCTURES
.
45
3.1
THE
PROBLEM
STATEMENT
.
45
3.1.1
THEORETICAL
BASICS
.
45
3.1.2
THE
GROUND
STRUCTURE
APPROACH
.
51
3.1.3
TRUSS
TOPOLOGY
OPTIMIZATION
.
54
XI
XII
CONTENTS
3.2
RELATED
WORK
.
59
3.2.1
LITERATURE
REVIEW
.
59
3.2.2
THE
GLOBAL
OPTIMIZATION
PERSPECTIVE
.
61
3.2.3
THE
ENGINEERING
PERSPECTIVE
.
67
4
BRIDGING
ALGORITHM-DRIVEN
TRUSS
OPTIMIZATION
AND
ADDITIVE
MANUFACTURING
.
71
4.1
ALGORITHM-DRIVEN
DESIGN
METHODOLOGY
FOR
ADDITIVE
MANUFACTURING
.
71
4.1.1
A
TECHNICAL
OPERATIONS
RESEARCH
APPROACH
.
71
4.1.2
AN
ALGORITHM-DRIVEN
PRODUCT
DESIGN
PROCESS
.
73
4.2
BASIC
PROBLEM
STATEMENTS
AND
KINEMATIC
INDETERMINACY
.
76
4.2.1
BASIC
PROBLEM
STATEMENTS
.
76
4.2.2
KINEMATIC
COMPATIBILITY
.
78
4.3
PREPARATIONS
TOWARDS
A
TRUSS
DESIGN
PROBLEM
.
80
4.3.1
STRUCTURAL
MEMBER
.
80
4.3.2
FORCE
EQUILIBRIUM
.
81
4.3.3
MOMENT
EQUILIBRIUM
.
83
4.4
DESIGN
SPACE
.
83
4.4.1
ADDITIVE
MANUFACTURING
CONSTRAINTS
.
83
4.4.2
ASSEMBLY
SPACE
.
85
4.4.3
GROUND
STRUCTURE
.
86
4.5
SUPPORT
STRUCTURE
OPTIMIZATION
.
87
5
MIXED-INTEGER
LINEAR
PROGRAMMING
FOR
TRUSS
OPTIMIZATION
.
91
5.1
PRELIMINARIES
.
91
5.2
THE
MILP
TTOI;
P
FOR
POWDER-BASED
ADDITIVE
MANUFACTURING
.
94
5.3
THE
MILP
TTO]
;S
FOR
SUPPORT-FREE
TRUSS-LIKE
STRUCTURES
.
99
5.4
THE
MILP
TTOI
;M
FOR
MANUFACTURABLE
CROSS-SECTIONAL
AREAS
.
104
5.5
THE
QMIP
TTOI
;
Q
FOR
ROBUST
TRUSS
TOPOLOGY
OPTIMIZATION
.
107
6
CAD-BASED
MATHEMATICAL
OPTIMIZATION
.
115
6.1
MOTIVATION
.
115
6.2
IMPLEMENTATION
DETAILS
.
117
6.3
PERFORMANCE
STUDY
.
134
6.4
USER
INTERFACE
.
143
CONTENTS
XIII
7
COMPUTATIONAL
STUDY
.
147
7.1
OPTIMIZATION
FOR
POWDER-BASED
ADDITIVE
MANUFACTURING
SYSTEMS:
MILP
TTOHP
.
148
7.2
OPTIMIZATION
OF
SUPPORT-FREE
TRUSS-LIKE
STRUCTURES:
MILP
TTOI
;S
.
152
7.3
SEGMENTED
BLANK
HOLDER:
MILP
TTOI
:M
.
156
7.4
ROBUST
TRUSS
OPTIMIZATION:
QMIP
TTOI
;Q
.
165
8
CONCLUSION
AND
OUTLOOK
.
179
8.1
CONCLUSION
.
179
8.2
OUTLOOK
.
181
BIBLIOGRAPHY
.
183 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Reintjes, Christian |
| author_GND | (DE-588)1252627211 |
| author_facet | Reintjes, Christian |
| author_role | aut |
| author_sort | Reintjes, Christian |
| author_variant | c r cr |
| building | Verbundindex |
| bvnumber | BV047865359 |
| classification_rvk | ZM 9045 |
| ctrlnum | (OCoLC)1282190611 (DE-599)DNB1244535419 |
| discipline | Werkstoffwissenschaften / Fertigungstechnik |
| discipline_str_mv | Werkstoffwissenschaften / Fertigungstechnik |
| format | Book |
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| id | DE-604.BV047865359 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T19:18:55Z |
| indexdate | 2024-07-10T09:23:30Z |
| institution | BVB |
| institution_GND | (DE-588)1043386068 |
| isbn | 9783658362102 3658362103 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033247909 |
| oclc_num | 1282190611 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 21 cm x 14.8 cm |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Vieweg |
| record_format | marc |
| spelling | Reintjes, Christian Verfasser (DE-588)1252627211 aut Algorithm-Driven Truss Topology Optimization for Additive Manufacturing Christian Reintjes Wiesbaden Vieweg [2022] © 2022 21 cm x 14.8 cm txt rdacontent n rdamedia nc rdacarrier Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Fachwerk (DE-588)4139209-7 gnd rswk-swf Strukturoptimierung (DE-588)4183811-7 gnd rswk-swf Rapid Prototyping Fertigung (DE-588)4389159-7 gnd rswk-swf Topologieoptimierung (DE-588)7662388-9 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Gestaltoptimierung (DE-588)4329076-0 gnd rswk-swf CAD (DE-588)4069794-0 gnd rswk-swf Heuristik (DE-588)4024772-7 gnd rswk-swf Rapid Prototyping (DE-588)4592693-1 gnd rswk-swf CAM CAD Additive Manufacturing Generative Design Linear Programming Operations Research Engineering Optimization Rapid Prototyping (DE-588)4592693-1 s CAD (DE-588)4069794-0 s Finite-Elemente-Methode (DE-588)4017233-8 s Strukturoptimierung (DE-588)4183811-7 s DE-604 Fachwerk (DE-588)4139209-7 s Topologieoptimierung (DE-588)7662388-9 s Gestaltoptimierung (DE-588)4329076-0 s Lineare Optimierung (DE-588)4035816-1 s Heuristik (DE-588)4024772-7 s Rapid Prototyping Fertigung (DE-588)4389159-7 s Springer Fachmedien Wiesbaden (DE-588)1043386068 pbl Erscheint auch als Online-Ausgabe 9783658362119 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=345421d80333416fa7ce28331b4ed1f3&prov=M&dok_var=1&dok_ext=htm Inhaltstext X:MVB http://www.springer.com/ DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033247909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20211027 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Reintjes, Christian Algorithm-Driven Truss Topology Optimization for Additive Manufacturing Lineare Optimierung (DE-588)4035816-1 gnd Fachwerk (DE-588)4139209-7 gnd Strukturoptimierung (DE-588)4183811-7 gnd Rapid Prototyping Fertigung (DE-588)4389159-7 gnd Topologieoptimierung (DE-588)7662388-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Gestaltoptimierung (DE-588)4329076-0 gnd CAD (DE-588)4069794-0 gnd Heuristik (DE-588)4024772-7 gnd Rapid Prototyping (DE-588)4592693-1 gnd |
| subject_GND | (DE-588)4035816-1 (DE-588)4139209-7 (DE-588)4183811-7 (DE-588)4389159-7 (DE-588)7662388-9 (DE-588)4017233-8 (DE-588)4329076-0 (DE-588)4069794-0 (DE-588)4024772-7 (DE-588)4592693-1 |
| title | Algorithm-Driven Truss Topology Optimization for Additive Manufacturing |
| title_auth | Algorithm-Driven Truss Topology Optimization for Additive Manufacturing |
| title_exact_search | Algorithm-Driven Truss Topology Optimization for Additive Manufacturing |
| title_exact_search_txtP | Algorithm-Driven Truss Topology Optimization for Additive Manufacturing |
| title_full | Algorithm-Driven Truss Topology Optimization for Additive Manufacturing Christian Reintjes |
| title_fullStr | Algorithm-Driven Truss Topology Optimization for Additive Manufacturing Christian Reintjes |
| title_full_unstemmed | Algorithm-Driven Truss Topology Optimization for Additive Manufacturing Christian Reintjes |
| title_short | Algorithm-Driven Truss Topology Optimization for Additive Manufacturing |
| title_sort | algorithm driven truss topology optimization for additive manufacturing |
| topic | Lineare Optimierung (DE-588)4035816-1 gnd Fachwerk (DE-588)4139209-7 gnd Strukturoptimierung (DE-588)4183811-7 gnd Rapid Prototyping Fertigung (DE-588)4389159-7 gnd Topologieoptimierung (DE-588)7662388-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Gestaltoptimierung (DE-588)4329076-0 gnd CAD (DE-588)4069794-0 gnd Heuristik (DE-588)4024772-7 gnd Rapid Prototyping (DE-588)4592693-1 gnd |
| topic_facet | Lineare Optimierung Fachwerk Strukturoptimierung Rapid Prototyping Fertigung Topologieoptimierung Finite-Elemente-Methode Gestaltoptimierung CAD Heuristik Rapid Prototyping |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=345421d80333416fa7ce28331b4ed1f3&prov=M&dok_var=1&dok_ext=htm http://www.springer.com/ http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033247909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT reintjeschristian algorithmdriventrusstopologyoptimizationforadditivemanufacturing AT springerfachmedienwiesbaden algorithmdriventrusstopologyoptimizationforadditivemanufacturing |