Aeroelastic vibrations and stability of plates and shells:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2015
|
| Schriftenreihe: | De Gruyter studies in mathematical physics
25 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. [189] - 220 |
| Beschreibung: | XI, 220 S. Ill., graph. Darst. |
| ISBN: | 9783110338362 9783110404913 |
Internformat
MARC
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| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 2015 | |
| 300 | |a XI, 220 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a De Gruyter studies in mathematical physics |v 25 | |
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Datensatz im Suchindex
| _version_ | 1809770708402700288 |
|---|---|
| adam_text |
CONTENTS
PREFACE VII
INTRODUCTION 1
PART I FLUTTER OF PLATES
1 STATEMENT OF THE PROBLEM 5
2 DETERMINATION OF AERODYNAMIC PRESSURE 6
3 MATHEMATICAL STATEMENT OF PROBLEMS 11
4 REDUCTION TO A PROBLEM ON A DISK 14
5 TEST PROBLEMS 20
6 RECTANGULAR PLATE 36
6.1 PROBLEM STATEMENT AND ANALYTICAL SOLUTION 36
6.2 NUMERICAL-ANALYTICAL SOLUTION 38
6.3 RESULTS 41
6.4 BUBNOV-GALERKIN (B-G) METHOD 42
6.5 DEPENDENCE OF CRITICAL FLUTTER VELOCITY ON PLATE THICKNESS -
6.6 DEPENDENCE OF CRITICAL FLUTTER VELOCITY ON ALTITUDE 46
7 FLUTTER OF A RECTANGULAR PLATE OF VARIABLE STIFFNESS OR THICKNESS
7.1 STRIP WITH VARIABLE CROSS SECTION 48
7.2 RECTANGULAR PLATES 52
8 VISCOELASTIC PLATES 57
PART II FLUTTER OF SHALLOW SHELLS
9 GENERAL FORMULATION 63
10 DETERMINATION OF AERODYNAMIC PRESSURE 66
11 THE SHALLOW SHELL AS PART OF AN AIRFOIL 71
12 THE SHALLOW SHELL OF REVOLUTION 74
HTTP://D-NB.INFO/1049599780
X * CONTENTS
13 THE CONICAL SHELL: EXTERNAL FLOW 78
14 THE CONICAL SHELL: INTERNAL FLOW 82
14.1 STATEMENT OF THE PROBLEM 82
14.2 DETERMINATION OF DYNAMIC PRESSURE 87
15 EXAMPLE CALCULATIONS 91
PART III NUMERICAL METHODS FOR NON-SELF-ADJOINT EIGENVALUE PROBLEMS
16 DISCRETIZATION OF THE LAPLACE OPERATOR 99
16.1 THE STURM-LIOUVILLE PROBLEM 99
16.2 INTERPOLATION FORMULA FOR A FUNCTION OF TWO VARIABLES ON A DISK,
AND ITS PROPERTIES 104
16.3 DISCRETIZATION OF THE LAPLACE OPERATOR 108
16.4 THEOREM OF/J-MATRICES 109
16.5 CONSTRUCTION OF/ -MATRIX CELLS BY DISCRETIZATION OF
BESSEL EQUATIONS 112
16.6 FAST MULTIPLICATION OF/I-MATRICES BY VECTORS USING THE FAST FOURIER
TRANSFORM 114
16.7 SYMMETRIZATION OF THE H-MATRIX 116
17 DISCRETIZATION OF LINEAR EQUATIONS IN MATHEMATICAL PHYSICS WITH
SEPARABLE
VARIABLES 118
17.1 GENERAL FORM OF EQUATIONS WITH SEPARABLE VARIABLES 118
17.2 FURTHER GENERALIZATION 119
18 EIGENVALUES AND EIGENFUNCTIONS OF THE LAPLACE OPERATOR 122
18.1 THE DIRICHLET PROBLEM 123
18.2 MIXED PROBLEM 135
18.3 THE NEUMANN PROBLEM 136
18.4 NUMERICAL EXPERIMENTS 140
19 EIGENVALUES AND EIGENFUNCTIONS OF A BIHARMONIC OPERATOR 142
19.1 BOUNDARY-VALUE PROBLEM OF THE FIRST KIND 145
19.2 BOUNDARY-VALUE PROBLEM OF THE SECOND KIND 145
19.3 NUMERICAL EXPERIMENTS 148
20 EIGENVALUES AND EIGENFUNCTIONS OF THE LAPLACE OPERATOR ON AN
ARBITRARY
DOMAIN 151
20.1 EIGENVALUES AND EIGENVECTORS OF THE LAPLACE OPERATOR 151
20.1.1 THE DIRICHLET PROBLEM 158
CONTENTS
* XI
20.1.2 MIXED PROBLEM 158
20.1.3 THE NEUMANN PROBLEM 159
20.1.4
DESCRIPTION OF THE PROGRAM
LAP123C 159
20.2 PROGRAM FOR CONFORMAL MAPPING 164
20.3 NUMERICAL EXPERIMENTS 166
21 EIGENVALUES AND EIGENFUNCTIONS OF A BIHARMONIC OPERATOR ON AN
ARBITRARY DOMAIN 168
21.1 EIGENVALUES AND EIGENFUNCTIONS OF A BIHARMONIC OPERATOR 168
21.1.1 BOUNDARY-VALUE PROBLEM OF THE FIRST KIND 173
21.1.2 BOUNDARY-VALUE PROBLEM OF THE SECOND KIND 173
21
.1
.3
DESCRIPTION OF THE PROGRAM
BIG12AG
173
21.2 PROGRAM FOR CONFORMAL MAPPING 177
21.3 NUMERICAL EXPERIMENTS 179
22 ERROR ESTIMATES FOR EIGENVALUE PROBLEMS 180
22.1 LOCALIZATION THEOREMS 180
22.2 A PRIORI ERROR ESTIMATE IN EIGENVALUE PROBLEMS 183
22.3 A POSTERIORI ERROR ESTIMATE FOR EIGENVALUE PROBLEMS 185
22.4 GENERALIZATION FOR OPERATOR PENCIL 185
CONCLUSION 187
BIBLIOGRAPHY 189 |
| any_adam_object | 1 |
| author | Algazin, Sergeĭ D. 1949- Kiĭko, Igor A. |
| author_GND | (DE-588)1066403112 (DE-588)1066403546 |
| author_facet | Algazin, Sergeĭ D. 1949- Kiĭko, Igor A. |
| author_role | aut aut |
| author_sort | Algazin, Sergeĭ D. 1949- |
| author_variant | s d a sd sda i a k ia iak |
| building | Verbundindex |
| bvnumber | BV042210579 |
| classification_rvk | UF 4700 |
| classification_tum | MTA 140f VER 520f MTA 420f |
| ctrlnum | (OCoLC)876384201 (DE-599)DNB1049599780 |
| dewey-full | 530.15535 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15535 |
| dewey-search | 530.15535 |
| dewey-sort | 3530.15535 |
| dewey-tens | 530 - Physics |
| discipline | Physik Verkehrstechnik |
| format | Book |
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| id | DE-604.BV042210579 |
| illustrated | Illustrated |
| indexdate | 2024-09-10T01:30:42Z |
| institution | BVB |
| isbn | 9783110338362 9783110404913 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027649285 |
| oclc_num | 876384201 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-11 DE-29T DE-91G DE-BY-TUM |
| owner_facet | DE-19 DE-BY-UBM DE-11 DE-29T DE-91G DE-BY-TUM |
| physical | XI, 220 S. Ill., graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematical physics |
| series2 | De Gruyter studies in mathematical physics |
| spelling | Algazin, Sergeĭ D. 1949- Verfasser (DE-588)1066403112 aut Aeroelastic vibrations and stability of plates and shells Sergey D. Algazin ; Igor A. Kijko Berlin [u.a.] De Gruyter 2015 XI, 220 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematical physics 25 Literaturverz. S. [189] - 220 Flächentragwerk (DE-588)4017399-9 gnd rswk-swf Schale (DE-588)4052003-1 gnd rswk-swf Platte (DE-588)4046304-7 gnd rswk-swf Flattern Technik (DE-588)4204298-7 gnd rswk-swf Aeroelastizität (DE-588)4202469-9 gnd rswk-swf Dünnwandiges Bauelement (DE-588)4210413-0 gnd rswk-swf Aeroelastizität (DE-588)4202469-9 s Dünnwandiges Bauelement (DE-588)4210413-0 s Platte (DE-588)4046304-7 s DE-604 Schale (DE-588)4052003-1 s Flächentragwerk (DE-588)4017399-9 s Flattern Technik (DE-588)4204298-7 s Kiĭko, Igor A. Verfasser (DE-588)1066403546 aut Erscheint auch als Online-Ausgabe, EPUB 978-3-11-038945-6 Erscheint auch als Online-Ausgabe, PDF 978-3-11-033837-9 De Gruyter studies in mathematical physics 25 (DE-604)BV040141722 25 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4625880&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027649285&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Algazin, Sergeĭ D. 1949- Kiĭko, Igor A. Aeroelastic vibrations and stability of plates and shells De Gruyter studies in mathematical physics Flächentragwerk (DE-588)4017399-9 gnd Schale (DE-588)4052003-1 gnd Platte (DE-588)4046304-7 gnd Flattern Technik (DE-588)4204298-7 gnd Aeroelastizität (DE-588)4202469-9 gnd Dünnwandiges Bauelement (DE-588)4210413-0 gnd |
| subject_GND | (DE-588)4017399-9 (DE-588)4052003-1 (DE-588)4046304-7 (DE-588)4204298-7 (DE-588)4202469-9 (DE-588)4210413-0 |
| title | Aeroelastic vibrations and stability of plates and shells |
| title_auth | Aeroelastic vibrations and stability of plates and shells |
| title_exact_search | Aeroelastic vibrations and stability of plates and shells |
| title_full | Aeroelastic vibrations and stability of plates and shells Sergey D. Algazin ; Igor A. Kijko |
| title_fullStr | Aeroelastic vibrations and stability of plates and shells Sergey D. Algazin ; Igor A. Kijko |
| title_full_unstemmed | Aeroelastic vibrations and stability of plates and shells Sergey D. Algazin ; Igor A. Kijko |
| title_short | Aeroelastic vibrations and stability of plates and shells |
| title_sort | aeroelastic vibrations and stability of plates and shells |
| topic | Flächentragwerk (DE-588)4017399-9 gnd Schale (DE-588)4052003-1 gnd Platte (DE-588)4046304-7 gnd Flattern Technik (DE-588)4204298-7 gnd Aeroelastizität (DE-588)4202469-9 gnd Dünnwandiges Bauelement (DE-588)4210413-0 gnd |
| topic_facet | Flächentragwerk Schale Platte Flattern Technik Aeroelastizität Dünnwandiges Bauelement |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4625880&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027649285&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV040141722 |
| work_keys_str_mv | AT algazinsergeid aeroelasticvibrationsandstabilityofplatesandshells AT kiikoigora aeroelasticvibrationsandstabilityofplatesandshells |