Chaos in structural mechanics: with 45 tables
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2008
|
| Series: | Understanding complex systems, Springer : complexity
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 424 S. Ill., graph. Darst. |
| ISBN: | 9783540776765 9783540776758 |
Staff View
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Record in the Search Index
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| adam_text | GESCANNT DURCH CONTENTS INTRODUCTION 1 THEORY OF NON-HOMOGENEOUS SHELLS
15 1.1 PRELIMINARY REMARKS 15 1.2 FUNDAMENTAL RELATIONS AND ASSUMPTIONS
16 1.3 NON-HOMOGENEITY OF A SHELL 19 1.4 VARIATIONAL EQUATIONS 20 1.5
EQUATIONS OF MOTION 26 1.6 BOUNDARY AND INITIAL CONDITIONS 28 1.7
NON-DIMENSIONAL FORM OF EQUATIONS 29 1.8 VARIABLE PARAMETERS OF
STIFFNESS 30 1.9 FLEXURAL STIFFNESS COEFFICIENT OF A SHELL ELEMENT 34
1.10 GENERALIZED FUNCTIONS 36 2 STATIC INSTABILITY OF RECTANGULAR PLATES
41 2.1 FUNDAMENTAL CONCEPTS OF THE THEORY OF ELASTIC STABILITY 41 2.2
TWO FUNDAMENTAL FORMS OF THE ENERGETIC CRITERION OF BIFURCATIONAL
STABILITY LOSS 49 2.3 BUBNOV-GALERKIN METHODS DEVOTED TO SHELL STABILITY
INVESTIGATIONS 54 2.3.1 SUBDOMAINS METHOD 60 2.3.2 COLOCATION METHOD 60
2.3.3 LEAST-SQUARES METHOD 61 2.3.4 METHOD OF MOMENTS 61 2.3.5 GALERKIN
METHOD 62 2.3.6 A COMPARISON OF THE WEIGHTING ERROR METHODS 63 2.3.7
RELATIONS TO OTHER METHODS 66 2.3.8 THEORETICAL PROPERTIES 70 2.3.9
COMPUTATIONAL ADVANTAGES OF GALERKIN METHODS 73 2.3.10 SUMMARY 74 2.4
BUBNOV-GALERKIN METHOD OF HIGH-ORDER APPROXIMATIONS AND THE NUMERICAL
ALGORITHM 76 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989665496
DIGITALISIERT DURCH * * * * * * * * * * CONTENTS XIII 13.4 STRUCTURALLY
NONLINEAR PROBJEMS 305 13.5 STRUCTURALLY AND PHYSICALLY NONLINEAR
PROBLEMS 313 13.6 SPECIAL CASE 316 13.7 CONCLUSIONS 317 14 BIFURCATION
AND CHAOS OF SANDWICH BEAMS 319 14.1 INTRODUCTION 319 14.2 PROBLEM
FORMULATION AND COMPUTATIONAL ALGORITHM 320 14.3 NUMERICAL RESULTS 323
14.4 ALL THREE BEAMS ARE LINEARLY ELASTIC 325 14.5 ALL THREE BEAMS ARE
NONLINEARLY ELASTIC 349 14.6 CONCLUSIONS 355 15 NONLINEAR VIBRATIONS OF
THE EULER-BERNOULLI BEAM 357 15.1 INTRODUCTION 357 15.2 PROBLEM
FORMULATION 358 15.3 FINITE DIFFERENCES METHOD 360 15.4 INFLUENCE OF
DAMPING COEFFICIENTS ON THE FREQUENCY CHARACTERISTICS 361 15.4.1 POWER
SPECTRA 362 15.5 WAVES GENERATED BY A LONGITUDINAL IMPACT 369 15.6
CONCLUSIONS 372 BIBLIOGRAPHY 375 INDEX 391
|
| adam_txt |
GESCANNT DURCH CONTENTS INTRODUCTION 1 THEORY OF NON-HOMOGENEOUS SHELLS
15 1.1 PRELIMINARY REMARKS 15 1.2 FUNDAMENTAL RELATIONS AND ASSUMPTIONS
16 1.3 NON-HOMOGENEITY OF A SHELL 19 1.4 VARIATIONAL EQUATIONS 20 1.5
EQUATIONS OF MOTION 26 1.6 BOUNDARY AND INITIAL CONDITIONS 28 1.7
NON-DIMENSIONAL FORM OF EQUATIONS 29 1.8 VARIABLE PARAMETERS OF
STIFFNESS 30 1.9 FLEXURAL STIFFNESS COEFFICIENT OF A SHELL ELEMENT 34
1.10 GENERALIZED FUNCTIONS 36 2 STATIC INSTABILITY OF RECTANGULAR PLATES
41 2.1 FUNDAMENTAL CONCEPTS OF THE THEORY OF ELASTIC STABILITY 41 2.2
TWO FUNDAMENTAL FORMS OF THE ENERGETIC CRITERION OF BIFURCATIONAL
STABILITY LOSS 49 2.3 BUBNOV-GALERKIN METHODS DEVOTED TO SHELL STABILITY
INVESTIGATIONS 54 2.3.1 SUBDOMAINS METHOD 60 2.3.2 COLOCATION METHOD 60
2.3.3 LEAST-SQUARES METHOD 61 2.3.4 METHOD OF MOMENTS 61 2.3.5 GALERKIN
METHOD 62 2.3.6 A COMPARISON OF THE WEIGHTING ERROR METHODS 63 2.3.7
RELATIONS TO OTHER METHODS 66 2.3.8 THEORETICAL PROPERTIES 70 2.3.9
COMPUTATIONAL ADVANTAGES OF GALERKIN METHODS 73 2.3.10 SUMMARY 74 2.4
BUBNOV-GALERKIN METHOD OF HIGH-ORDER APPROXIMATIONS AND THE NUMERICAL
ALGORITHM 76 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989665496
DIGITALISIERT DURCH * * * * * * * * * * CONTENTS XIII 13.4 STRUCTURALLY
NONLINEAR PROBJEMS 305 13.5 STRUCTURALLY AND PHYSICALLY NONLINEAR
PROBLEMS 313 13.6 SPECIAL CASE 316 13.7 CONCLUSIONS 317 14 BIFURCATION
AND CHAOS OF SANDWICH BEAMS 319 14.1 INTRODUCTION 319 14.2 PROBLEM
FORMULATION AND COMPUTATIONAL ALGORITHM 320 14.3 NUMERICAL RESULTS 323
14.4 ALL THREE BEAMS ARE LINEARLY ELASTIC 325 14.5 ALL THREE BEAMS ARE
NONLINEARLY ELASTIC 349 14.6 CONCLUSIONS 355 15 NONLINEAR VIBRATIONS OF
THE EULER-BERNOULLI BEAM 357 15.1 INTRODUCTION 357 15.2 PROBLEM
FORMULATION 358 15.3 FINITE DIFFERENCES METHOD 360 15.4 INFLUENCE OF
DAMPING COEFFICIENTS ON THE FREQUENCY CHARACTERISTICS 361 15.4.1 POWER
SPECTRA 362 15.5 WAVES GENERATED BY A LONGITUDINAL IMPACT 369 15.6
CONCLUSIONS 372 BIBLIOGRAPHY 375 INDEX 391 |
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| author | Awrejcewicz, Jan 1952- Krysʹko, Vadim A. 1937- |
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| author_role | aut aut |
| author_sort | Awrejcewicz, Jan 1952- |
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| dewey-full | 531 |
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| dewey-search | 531 |
| dewey-sort | 3531 |
| dewey-tens | 530 - Physics |
| discipline | Physik Bauingenieurwesen |
| discipline_str_mv | Physik Bauingenieurwesen |
| format | Book |
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| index_date | 2024-07-02T21:08:51Z |
| indexdate | 2024-07-09T21:16:49Z |
| institution | BVB |
| isbn | 9783540776765 9783540776758 |
| language | English |
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| physical | XIII, 424 S. Ill., graph. Darst. |
| publishDate | 2008 |
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| publisher | Springer |
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| series2 | Understanding complex systems, Springer : complexity |
| spelling | Awrejcewicz, Jan 1952- Verfasser (DE-588)120089122 aut Chaos in structural mechanics with 45 tables J. Awrejcewicz ; V. A. Krysko Berlin [u.a.] Springer 2008 XIII, 424 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Understanding complex systems, Springer : complexity Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Nichtlineares Phänomen (DE-588)4136065-5 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 s Nichtlineares Phänomen (DE-588)4136065-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Krysʹko, Vadim A. 1937- Verfasser (DE-588)124016731 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016543652&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Awrejcewicz, Jan 1952- Krysʹko, Vadim A. 1937- Chaos in structural mechanics with 45 tables Mathematisches Modell (DE-588)4114528-8 gnd Strukturmechanik (DE-588)4126904-4 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4126904-4 (DE-588)4136065-5 |
| title | Chaos in structural mechanics with 45 tables |
| title_auth | Chaos in structural mechanics with 45 tables |
| title_exact_search | Chaos in structural mechanics with 45 tables |
| title_exact_search_txtP | Chaos in structural mechanics with 45 tables |
| title_full | Chaos in structural mechanics with 45 tables J. Awrejcewicz ; V. A. Krysko |
| title_fullStr | Chaos in structural mechanics with 45 tables J. Awrejcewicz ; V. A. Krysko |
| title_full_unstemmed | Chaos in structural mechanics with 45 tables J. Awrejcewicz ; V. A. Krysko |
| title_short | Chaos in structural mechanics |
| title_sort | chaos in structural mechanics with 45 tables |
| title_sub | with 45 tables |
| topic | Mathematisches Modell (DE-588)4114528-8 gnd Strukturmechanik (DE-588)4126904-4 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd |
| topic_facet | Mathematisches Modell Strukturmechanik Nichtlineares Phänomen |
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