Problems and methods of optimal structural design:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
New York u.a.
Plenum Pr.
1983
|
| Schriftenreihe: | Mathematical concepts and methods in science and engineering.
26. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Bibliogr. S. 287 - 310. - EST: Optimizacija form uprugich tel (engl.) |
| Beschreibung: | XXI, 313 S. graph. Darst. |
| ISBN: | 0306412845 |
Internformat
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| 100 | 1 | |a Baničuk, Nikolai V. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Problems and methods of optimal structural design |
| 264 | 1 | |a New York u.a. |b Plenum Pr. |c 1983 | |
| 300 | |a XXI, 313 S. |b graph. Darst. | ||
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| 490 | 1 | |a Mathematical concepts and methods in science and engineering. |v 26. | |
| 500 | |a Bibliogr. S. 287 - 310. - EST: Optimizacija form uprugich tel (engl.) | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface to the English Edition v
Foreword ix
Introduction xi
1. Formulation of Problems and Research Techniques in Structural
Optimization 1
1.1. Formulation of Some Optimal Design Problems 1
1.2. Basic Functional 5
1.3. Principal and Auxiliary Control Functions 12
1.4. Application of Variational Principles of the Theory of
Elasticity to Eliminating Differential Relations 17
1.5. Reduction to Problems with Integral Functions 22
1.6. Necessary Conditions for Optimality 29
1.7. Extremal Conditions for Problems with Nonadditive
Functionals 36
1.8. Problems with Unknown Boundaries 41
1.9. Dual Problems . 47
1.10. Application of Numerical Techniques in Solving Problems of
Optimal Design 52
2. One Dimensional Optimization Problems 63
2.1. Optimization Problems for Beams Subjected to Bending .... 63
2.2. Optimization of Stability for Elastic Beams 78
2.3. Optimal Configuration of Branched Beams 83
2.4. Design of Optimum Curved Beams 89
2.5. Optimization of Nonuniformly Heated and Prestressed
Beams 100
xix
xx Contents
3. Optimal Design of Elastic Plates: Control by Varying Coefficients of
the Equations 109
3.1. Plates Having the Greatest Rigidity 109
3.2. Numerical Search for Optimal Thickness Distribution of
Homogeneous Plates 115
3.3. Optimal Rigidity of Trilayer Plates 121
3.4. Strongest Plates 127
3.5. Optimum Support Conditions for Thin Plates 131
4. Optimization Problems with Unknown Boundaries in the Theory of
Elasticity: Control by Varying the Boundary of the Domain 135
4.1. Maximizing the Torsional Rigidity of a Bar 136
4.2. Finding Optimum Shapes of Cross Sectional Areas for Bars in
Torsion 140
4.3. Torsion of Piecewise Homogeneous Bars and Problems of
Optimal Reinforcement 148
4.4. Optimization of Stress Concentration for.Elastic Plates with
Holes 157
4.5. Determining the Shape of Uniformly Stressed Holes 164
4.6. Optimization of the Shapes of Holes in Plates Subjected to
Bending 172
5. Optimization of Anisotropic Properties of Elastic Bodies 181
5.1. Optimization Problems for Anisotropic Bodies 181
5.2. An Extremal Problem for Rotation of a Matrix 185
5.3. Optimal Anisotropy for Bars in Torsion 189
5.4. Optimization of Anisotropic Properties of an Elastic Medium
in Two Dimensional Problems of the Theory of Elasticity ... 193
5.5. Computation of Optimum Anisotropic Properties for Elastic
Bodies 200
5.6. Some Comments Concerning the Shapes of Anisotropic Bodies
and Problems of Simultaneous Optimization of the Shape and
of the Orientation of Axes of Anisotropy 204
6. Optimal Design in Problems of Hydroelasticity 209
6.1. State Equations for Plates That Vibrate in an Ideal Fluid .... 209
6.2. Optimizing the Frequency of Vibrations 215
6.3. Determining the Reaction of a Fluid When the Flow Field and
the Motion of the Plate are Two Dimensional and the Flow is
Solenoidal 220
6.4. Finding the Optimum Shape of a Vibrating Plate 223
6.5. Maximizing the Divergence Velocity of a Plate Subjected to
the Flow of an Ideal Fluid 228
6.6. A Scheme in Solenoidal Flow for Investigating Equilibrium
Shapes of Elastic Plates and a Problem of Optimization 232
Contents xxi
7. Optimal Design under Conditions of Incomplete Information
Concerning External Actions and Problems of Multipurpose
Optimization 243
7.1. Formulation of Optimization Problems under Conditions of
Incomplete Information 243
7.2. Design of Beams Having the Smallest Weight for Certain
Classes of Loads and with Constraints of Strength 246
7.3. Optimization of Rigidity for Beams 254
7.4. Design of Plates for Certain Classes of Loads 259
7.5. Optimization of Beams Subjected to Bending and Torsion.
Multiple Criteria Optimization Problems 265
7.6. Design of a Circular Plate Having Minimum Weight with
Constraints on Rigidity and Natural Frequencies of
Vibrations 272
7.7. Construction of Quasi Optimal Solutions to the Multipurpose
Design Problems 277
Bibliography 287
Index 311
|
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| id | DE-604.BV002181162 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:41:40Z |
| institution | BVB |
| isbn | 0306412845 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001432682 |
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| owner_facet | DE-91 DE-BY-TUM |
| physical | XXI, 313 S. graph. Darst. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Plenum Pr. |
| record_format | marc |
| series | Mathematical concepts and methods in science and engineering. |
| series2 | Mathematical concepts and methods in science and engineering. |
| spelling | Baničuk, Nikolai V. Verfasser aut Problems and methods of optimal structural design New York u.a. Plenum Pr. 1983 XXI, 313 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical concepts and methods in science and engineering. 26. Bibliogr. S. 287 - 310. - EST: Optimizacija form uprugich tel (engl.) Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Tragwerk (DE-588)4060592-9 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 s Tragwerk (DE-588)4060592-9 s DE-604 Mathematical concepts and methods in science and engineering. 26. (DE-604)BV000001144 26. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001432682&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baničuk, Nikolai V. Problems and methods of optimal structural design Mathematical concepts and methods in science and engineering. Strukturmechanik (DE-588)4126904-4 gnd Tragwerk (DE-588)4060592-9 gnd |
| subject_GND | (DE-588)4126904-4 (DE-588)4060592-9 |
| title | Problems and methods of optimal structural design |
| title_auth | Problems and methods of optimal structural design |
| title_exact_search | Problems and methods of optimal structural design |
| title_full | Problems and methods of optimal structural design |
| title_fullStr | Problems and methods of optimal structural design |
| title_full_unstemmed | Problems and methods of optimal structural design |
| title_short | Problems and methods of optimal structural design |
| title_sort | problems and methods of optimal structural design |
| topic | Strukturmechanik (DE-588)4126904-4 gnd Tragwerk (DE-588)4060592-9 gnd |
| topic_facet | Strukturmechanik Tragwerk |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001432682&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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