Structural optimization:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Kit Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Springer
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XV, 301 S. 46 schw.-w. Ill., 1 schw.-w. Fotos, 88 schw.-w. graph. Darst., 18 schw.-w. Tab. 235 mm x 155 mm |
| ISBN: | 9780387958651 9780387958644 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
1.
Introduction
.......................................................................................................1
1.1 Problem Statement.......................................................................................1
1.2 An
Optimization
Problem............................................................................2
1.3
Elementary Calculus....................................................................................
5
1.4 Optimal
Slope for Truss Bars......................................................................
6
1.5
An Arch Problem
.........................................................................................7
1.6
The Gradient of a Function
..........................................................................8
1.7
The
Lagrange
Multiplier Rule
...................................................................11
1.8
Newton s Method
......................................................................................12
1.9
Solving Linear Equations
...........................................................................14
1.10
Linear Systems Versus Optimization
.......................................................14
1.11
Equations of Structures
............................................................................15
1.12
Plastic Analysis
........................................................................................18
1.13
A Beam Problem
......................................................................................19
1.14
Quadratic Programming
...........................................................................20
1.15
Embedding
...............................................................................................21
1.16
Geometric Programming
..........................................................................21
1.17
Plastic Design of Plane Frames
...............................................................22
1.18
Problems
..................................................................................................24
2.
Some Tools of Optimization
...........................................................................29
2.1
TheLagrange Multiplier Rule
...................................................................29
2.2
The Kuhn-Tucker Conditions
....................................................................31
2.3
Calculus of Variations
...............................................................................34
2.4
Newton s Method
......................................................................................36
2.4.1
An Example of Newton s Method
......................................................37
2.5
Linear Programming
..................................................................................40
2.5.1
An Example of the Simplex Method
..................................................41
2.5.2
Interior Point Methods
.......................................................................43
2.6
Sequential Linear Programming
................................................................44
2.7
Other Methods of Mathematical Programming
.........................................46
2.8
Genetic Algorithms
....................................................................................47
2.9
Problems
....................................................................................................48
3.
Sequential Linear Programming and the Incremental Equations
of Structures
.........................................................................................................49
3.1
Introduction
...............................................................................................49
3.2
The Incremental Equations of Structures
...................................................49
3.3
Application to Structural Optimization
......................................................51
3.4
An Example with a Displacement Constraint
............................................52
3.5
Adding Stress Constraints
..........................................................................56
3.6
The 25-Bar Truss
.......................................................................................57
χ
Contents
3.7
A Frame Example
......................................................................................60
3.8
A Buckling Example
.................................................................................63
3.9
The Incremental Equations when Shape Change is Allowed
.....................67
3.10
A Beam Example
.....................................................................................72
3.11
A Plate Bending Problem
.........................................................................74
3.12
Problems
..................................................................................................76
4.
Optimality Criteria Methods
..........................................................................77
4.1
Introduction
................................................................................................77
4.2
The Most Simple Optimality Criteria Problem
..........................................78
4.3
Monotone Behavior
...................................................................................79
4.4
An Application
...........................................................................................80
4.5
Sandwich Beams
........................................................................................84
4.6
A Generalization of the Truss problem
......................................................84
4.7
Plastic Design of Frames
...........................................................................86
4.8
Sandwich Plate Design
..............................................................................88
4.9
Truss Design
..............................................................................................89
4.10
A Plane Stress Problem
............................................................................91
4.11 Prager
and His Co-workers
......................................................................95
4.11.1
The Axisymmetric Circular Plate
.....................................................95
4.12
A Plate Problem
.......................................................................................97
4.13
Problems
................................................................................................100
5.
Some Basic Optimization Problems
.............................................................103
5.1
Multiple Loading Conditions
...................................................................103
5.1.1
An Example
......................................................................................105
5.1.2
Readability
.....................................................................................106
5.1.3
Three Loading Conditions
................................................................108
5.2
Deflection Constraints
.............................................................................109
5.2.1
Funaro s Example
.............................................................................112
5.2.2
Optimality Criteria Approach
...........................................................117
5.2.3
An Example
......................................................................................121
5.3
Optimal Shape
..........................................................................................122
5.3.1
Frame Problems
................................................................................124
5.3.2
Code Design for a Truss Problem
.....................................................126
5.4
Generating New Designs Automatically
..................................................128
5.4.1
Algebraic Methods
...........................................................................130
5.4.2
Linguistic Methods
...........................................................................135
5.5
Problems
..................................................................................................137
6.
Beams and Plates: The Work of
Rozvány
...................................................139
6.1
Introduction
..............................................................................................139
6.1.1
Examples
..........................................................................................140
6.1.2
Reaction Costs
..................................................................................143
6.1.3
Optimal Segmentation
......................................................................144
Contents xi
6.1.4
A More Realistic Beam Model
.........................................................145
6.2
Design of Plates
.......................................................................................146
6.3
Problems
..................................................................................................149
7.
Some Problems of Dynamic Structural Optimization
................................151
7.1
Introduction
.............................................................................................151
7.2
Optimization for Transient Vibrations
.....................................................152
7.2.1
The Static Case
.................................................................................154
7.2.2
The Dynamic Case
...........................................................................154
7.2.3
The Work of Connor
........................................................................160
7.2.3.1
Tuned Mass Dampers
........................................................................161
7.3
Steady-State Problems
.............................................................................162
7.3.1
A Truss Problem
...............................................................................165
7.3.2
An Algorithm for the Truss Problem
................................................166
7.3.3
An Incremental Solution of the Truss Problem
................................171
8.
Multicriteria Optimization
...........................................................................175
8.1
Introduction
.............................................................................................175
8.2
Solving Multicriteria Optimization Problems
..........................................177
9.
Practical Matters: The Work of
Farkas
and
Jármai
..................................179
9.1
Introduction
.............................................................................................179
9.2
Sizing Member Cross Sections
................................................................179
9.2.1
Effect of Fabrication Costs
...............................................................181
9.3
Tubular Trusses
.......................................................................................182
9.3.1
The Effect of Shape
..........................................................................184
9.4
Problems
..................................................................................................186
10.
On Going Work
...........................................................................................187
10.1
Design of Tall Buildings
........................................................................187
10.1.1
Wind Loads on Tall Buildings
............................................................187
10.1.2
Tuned Mass Dampers
.........................................................................188
10.1.3
Stochastic Processes
.......................................................................189
10.2
Heuristic Algorithms
.............................................................................192
10.3
Extending the Design Process
................................................................193
10.4
Design Theory
.......................................................................................193
10.4.1
Robust Design
................................................................................194
10.4.2
Creativity in Design
.......................................................................194
10.4.3
Design Ontologies
..........................................................................195
10.4.4
Architectural Design
......................................................................195
10.5
Available Computational Algorithms
................................................195
A. Using the Computer
.....................................................................................197
A.I Using Computer Languages and Programs
.............................................197
Al.
1
Fortran
..............................................................................................197
xii Contents
А1.2Рег1
...................................................................................................199
A1.3
Makefiles
..........................................................................................199
A.2
Matlab
.....................................................................................................199
A3
Microsoft Excel
.......................................................................................200
A.3.1 The Solver Routine
..........................................................................200
A.3.2 Visual Basic
.....................................................................................203
A.5 Freeware
..................................................................................................205
A.6
Graphical
Interface Applications
............................................................205
B.
The Node Method for Trusses
.....................................................................207
B.I Introduction
.............................................................................................207
B.2 A Formal Description of the Truss Problem
...........................................208
B.3 A Decomposition
....................................................................................212
C. Convex Sets and Functions: Homogeneous Functions
..............................219
C.I Convex Sets and Functions
.....................................................................219
C.2 Homogeneous Functions
.........................................................................220
D. Structural Optimization Classics
................................................................223
D.I
Micheli
Trusses
.......................................................................................223
D.2 Keller s Optimal Column
........................................................................233
D.3 The Paper of Venkayya, Khot, and
Berke
...............................................245
References
..........................................................................................................289
Index
...................................................................................................................299
William R.
Spillers
Keith
M. MacBain
Structural
Optimization
Structural Optimization is intended to supplement the
engineers box of analysis and design tools making
optimization as commonplace as the finite element
method in the workplace. This book brings the
methods of structural optimization into common usage
like those of the finite element method. Providing the
structural engineer with the right analysis tools and
optimization tools.
Drawing upon years of practical experience and using
numerous examples and illustrative applications, Keith
MacBain and William
Spillers
discuss:
•
Structural optimization and the methods of nonlinear
programming such as
Lagrange
multipliers, Kuhn-
Tucker conditions, and calculus of variations
•
Solution methods for optimization problems
emphasizing the classic method ot linear
programming and the method of sequential linear
programming
•
Using sequential linear programming together with
the incremental equations of structures as a general
approach tor structural optimization.
)
springer.com
Included is a CD-ROM packed with Microsoft Excel,
MATLAB ,
and FORTRAN (IMSL) routines, and
а
DLL
with linear programming capabilities that will be
invaluable to readers.
Structural Optimization will be of interest to structural
engineers, mechanical engineers, aerospace engineers
and architects, particularly those who use the finite
element method and want to include optimization in
their designs.
EXTR*
extras.springer.com
|
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| author_facet | Spillers, William R. MacBain, Keith M. |
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| author_sort | Spillers, William R. |
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| discipline | Maschinenbau / Maschinenwesen Technik Bauingenieurwesen Maschinenbau |
| format | Kit Book |
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| id | DE-604.BV035625137 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:41:51Z |
| institution | BVB |
| isbn | 9780387958651 9780387958644 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017680198 |
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| owner_facet | DE-91G DE-BY-TUM DE-703 |
| physical | XV, 301 S. 46 schw.-w. Ill., 1 schw.-w. Fotos, 88 schw.-w. graph. Darst., 18 schw.-w. Tab. 235 mm x 155 mm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Spillers, William R. Verfasser aut Structural optimization William R. Spillers ; Keith M. MacBain Dordrecht [u.a.] Springer 2009 XV, 301 S. 46 schw.-w. Ill., 1 schw.-w. Fotos, 88 schw.-w. graph. Darst., 18 schw.-w. Tab. 235 mm x 155 mm Strukturoptimierung (DE-588)4183811-7 gnd rswk-swf FORTRAN (DE-588)4017984-9 gnd rswk-swf Konstruktionselement (DE-588)4165100-5 gnd rswk-swf Strukturoptimierung (DE-588)4183811-7 s DE-604 Konstruktionselement (DE-588)4165100-5 s FORTRAN (DE-588)4017984-9 s MacBain, Keith M. Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017680198&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017680198&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Spillers, William R. MacBain, Keith M. Structural optimization Strukturoptimierung (DE-588)4183811-7 gnd FORTRAN (DE-588)4017984-9 gnd Konstruktionselement (DE-588)4165100-5 gnd |
| subject_GND | (DE-588)4183811-7 (DE-588)4017984-9 (DE-588)4165100-5 |
| title | Structural optimization |
| title_auth | Structural optimization |
| title_exact_search | Structural optimization |
| title_full | Structural optimization William R. Spillers ; Keith M. MacBain |
| title_fullStr | Structural optimization William R. Spillers ; Keith M. MacBain |
| title_full_unstemmed | Structural optimization William R. Spillers ; Keith M. MacBain |
| title_short | Structural optimization |
| title_sort | structural optimization |
| topic | Strukturoptimierung (DE-588)4183811-7 gnd FORTRAN (DE-588)4017984-9 gnd Konstruktionselement (DE-588)4165100-5 gnd |
| topic_facet | Strukturoptimierung FORTRAN Konstruktionselement |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017680198&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017680198&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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