Optimum structural design: concepts, methods, and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York (u.a.)
McGraw-Hill
1981
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 441 S. graph. Darst. |
| ISBN: | 0070348448 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804116523605819392 |
|---|---|
| adam_text | Preface
xi
Part 1 Concepts
1 Introduction 3
References 5
2 General Formulation of Optimal Design 6
2-1 Design Variables 6
2-2 Constraints 9
2-3 Objective Function 15
2-4 Mathematical Formulation 17
Exercises 21
References 22
3 Approaches to Structural Design and
Optimization 23
3-1 Design Approaches 23
3-2 Optimization Approaches 26
Exercises 30
References 30
4 Structural Analysis 31
4-1 Introduction 31
4-2 Elastic Analysis of Framed Structures 32
4-3 Elastic Analysis of Continuum Structures 40
4-4 Plastic Analysis of Framed Structures 47
Exercises 56
References 57
vü
Part 2 Methods
5 Reanalysis Methods 61
5-1 Introduction 61
$-2 Direct Methods 63
5-3 Iterative Methods 67
5-4 Approximate Methods 73
5-5 Summary 78
Exercises 80
References 81
6 Optimality Criteria Methods 82
6-1 Introduction 82
6-2 Fully Stressed Design 88
6-3 Displacement Limited Design 98
6-4 General Iterative Procedures 105
Exercises 113
References 114
7 Linear Programming 116
7-1 Introduction 116
7-2 Problem Formulation 117
7-3 Method of Solution 121
7-4 Further Considerations 131
Exercises 135
References 136
8 Nonlinear Programming 137
8-1 Introduction 137
8-2 Methods for Unconstrained Minimization 143
8-3 Penalty-Function Methods 156
8-4 Methods of Feasible Directions 167
8-5 Methods Based on a Sequence of Linear Programs 174
Exercises 178
References 179
9 Geometric Programming 181
9-1 Introduction 181
9-2 Formulation of Geometric Programming 182
9-3 Solution Methods 186
9-4 Generalized Geometric Programming 191
Exercises 196
References 196
10
Decomposition in Nonlinear Programming 198
10-1 Introduction 198
10-2 Model Coordination Method 200
10-3 Goal Coordination Method 204
10-4 Illustrative Example 210
10-5 Further Considerations 213
Exercise 214
References 215
11 Dynamic Programming 216
11-1 Introduction 216
11-2 Suboptimization and Decomposition of Serial Systems 218
11-3 State and Decision Inversion 230
11-4 Computational Considerations 241
Exercise 245
References 245
Part 3 Applications
12 Optimization of Elements 249
12-1 Introduction 249
12-2 Steel Elements 251
12-3 Reinforced Concrete Elements 258
12-4 Prestressed Concrete Elements 265
Exercises 274
References 276
13 Optimization of Cross Sections in Truss Systems 277
13-1 Introduction 277
13-2 Solution by Nonlinear Programming 279
13-3 Solution by Linear Programming 289
13-4 Solution by Geometric Programming 296
13-5 Plastic Design by Linear Programming 301
Exercises 308
References 310
14 Optimization of Cross Sections in Flexural
Systems 312
14-1 General Formulation 312
14-2 Optimal Design of Elastic Grillages 315
14-3 Optimized Prestressing by Linear Programming 322
14-4 Plastic Design of Frames by Linear Programming 333
Exercises 344
References 345
X CONTENTS
15-1
15-2
15-3
15-4
16-1
16-2
16-3
17-1
17-2
17-3
17-4
17-5
General Considerations in Systems Optimization
Introduction
Design Sensitivity Analysis
Explicit Approximations of the Constraint Functions
The Relationship between Mathematical Programming and
Optimality Criteria
Exercises
References
Large and Continuum Systems
Optimal Design Using Substructures
Optimal Design Using Finite-Element Analysis
Further Applications
Exercises
References
Optimization of Geometry and Topology
Introduction
Simultaneous Optimization of Geometry and Cross Sections
Optimization of Geometry and Cross Sections in Separate
Design Spaces
Optimization by Dynamic Programming
Optimal Topology
Exercises
References
Index
|
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| callnumber-subject | TA - General and Civil Engineering |
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| dewey-full | 624.1/771 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 624 - Civil engineering |
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| dewey-search | 624.1/771 |
| dewey-sort | 3624.1 3771 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Bauingenieurwesen |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:52Z |
| institution | BVB |
| isbn | 0070348448 |
| language | English |
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| publishDate | 1981 |
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| publisher | McGraw-Hill |
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| spelling | Kirsch, Uri Verfasser aut Optimum structural design concepts, methods, and applications New York (u.a.) McGraw-Hill 1981 XIV, 441 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical optimization Structural design HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001356095&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kirsch, Uri Optimum structural design concepts, methods, and applications Mathematical optimization Structural design |
| title | Optimum structural design concepts, methods, and applications |
| title_auth | Optimum structural design concepts, methods, and applications |
| title_exact_search | Optimum structural design concepts, methods, and applications |
| title_full | Optimum structural design concepts, methods, and applications |
| title_fullStr | Optimum structural design concepts, methods, and applications |
| title_full_unstemmed | Optimum structural design concepts, methods, and applications |
| title_short | Optimum structural design |
| title_sort | optimum structural design concepts methods and applications |
| title_sub | concepts, methods, and applications |
| topic | Mathematical optimization Structural design |
| topic_facet | Mathematical optimization Structural design |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001356095&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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