Singularity theory, rod theory, and symmetry-breaking loads:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1989
|
| Series: | Lecture notes in mathematics
1377 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IV, 177 S. |
| ISBN: | 3540513043 0387513043 |
Staff View
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| 245 | 1 | 0 | |a Singularity theory, rod theory, and symmetry-breaking loads |c John F. Pierce |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
I. Introduction 1
II. The Spaces of Configurations 7
1. The Spaces of Classical Configurations for a Rod 7
2. The Spaces of Infinitesimal Displacements 13
3. The Manifolds of Generalized and Constrained
Configurations 24
III. The Spaces of Loads 3 2
1. Loads in the Special Cosserat Theory 32
2. The Space of Loads for the Kirchhoff Theory 52
3. The Co-Adjoint Group Action on the Space of Loads 58
4. The Generalization of the Load Spaces 62
IV. The Rod Equilibrium Problem 66
1. The Variational Functions 66
2. The Euler Field for the Kirchhoff Problem 72
3. The Constrained Equilibrium Problem 76
4. The Bifurcation Problem for the Kirchhoff Rod 82
V. The Reduction of the Bifurcation Problem 90
1. The Decomposition of the Spaces 90
2. The Liapunov-Schmidt Reduction 101
VI. The Analysis of the Reduced Problem 117
1. The Symmetrically Perturbed Problem 117
2. The Critical Manifolds for the
Symmetry-Breaking Loads 120
3. The Classification of the Critical Manifolds 125
IV
VII. The Results of the Bifurcation Problem 140
1. The Reduction of I and its Analysis 140
2. Perturbations of Class a 144
3. Nondegenerate Perturbations of Classes (3 and y 149
VIII. Conclusions and Additional Problems 163
References 167
Index 172
|
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| discipline | Mathematik |
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| indexdate | 2024-07-09T15:36:04Z |
| institution | BVB |
| isbn | 3540513043 0387513043 |
| language | English |
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| physical | IV, 177 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Pierce, John F. Verfasser aut Singularity theory, rod theory, and symmetry-breaking loads John F. Pierce Berlin [u.a.] Springer 1989 IV, 177 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1377 Stab (DE-588)4056679-1 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Stab (DE-588)4056679-1 s Singularität Mathematik (DE-588)4077459-4 s Verzweigung Mathematik (DE-588)4078889-1 s DE-604 Lecture notes in mathematics 1377 (DE-604)BV000676446 1377 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001207120&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pierce, John F. Singularity theory, rod theory, and symmetry-breaking loads Lecture notes in mathematics Stab (DE-588)4056679-1 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| subject_GND | (DE-588)4056679-1 (DE-588)4078889-1 (DE-588)4077459-4 |
| title | Singularity theory, rod theory, and symmetry-breaking loads |
| title_auth | Singularity theory, rod theory, and symmetry-breaking loads |
| title_exact_search | Singularity theory, rod theory, and symmetry-breaking loads |
| title_full | Singularity theory, rod theory, and symmetry-breaking loads John F. Pierce |
| title_fullStr | Singularity theory, rod theory, and symmetry-breaking loads John F. Pierce |
| title_full_unstemmed | Singularity theory, rod theory, and symmetry-breaking loads John F. Pierce |
| title_short | Singularity theory, rod theory, and symmetry-breaking loads |
| title_sort | singularity theory rod theory and symmetry breaking loads |
| topic | Stab (DE-588)4056679-1 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| topic_facet | Stab Verzweigung Mathematik Singularität Mathematik |
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