Vibration of discrete and continuous systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
New York [u.a.]
Springer
1997
|
| Edition: | 2. ed. |
| Series: | Mechanical engineering series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Früher mehrbd. begr. Werk u.d.T.: Shabana, Ahmed A.: Theory of vibration |
| Physical Description: | XV, 393 S. graph. Darst. |
| ISBN: | 0387947442 |
Staff View
MARC
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| 100 | 1 | |a Shabana, Ahmed A. |d 1951- |e Verfasser |0 (DE-588)114968594 |4 aut | |
| 245 | 1 | 0 | |a Vibration of discrete and continuous systems |c A. A. Shabana |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
| 300 | |a XV, 393 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Mechanical engineering series | |
| 500 | |a Früher mehrbd. begr. Werk u.d.T.: Shabana, Ahmed A.: Theory of vibration | ||
| 650 | 4 | |a Vibration | |
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Record in the Search Index
| _version_ | 1807773544459796480 |
|---|---|
| adam_text |
CONTENTS
SERIES
PREFACE
VII
PREFACE
IX
CHAPTER
1
INTRODUCTION
1
1.1
KINEMATICS
OF
RIGID
BODIES
1
1.2
DYNAMIC
EQUATIONS
7
1.3
SINGLE
DEGREE
OF
FREEDOM
SYSTEMS
11
1.4
OSCILLATORY
AND
NONOSCILLATORY
MOTION
16
1.5
OTHER
TYPES
OF
DAMPING
24
1.6
FORCED
VIBRATION
29
1.7
IMPULSE
RESPONSE
38
1.8
RESPONSE
TO
AN
ARBITRARY
FORCING
FUNCTION
41
PROBLEMS
44
CHAPTER
2
LAGRANGIAN
DYNAMICS
53
2.1
GENERALIZED
COORDINATES
53
2.2
VIRTUAL
WORK
AND
GENERALIZED
FORCES
57
2.3
LAGRANGE
'
S
EQUATION
62
2.4
KINETIC
ENERGY
71
2.5
STRAIN
ENERGY
79
2.6
HAMILTON
'
S
PRINCIPLE
82
2.7
CONSERVATION
THEOREMS
86
2.8
CONCLUDING
REMARKS
90
PROBLEMS
93
CHAPTER
3
MULTI-DEGREE
OF
FREEDOM
SYSTEMS
98
3.1
EQUATIONS
OF
MOTION
99
3.2
UNDAMPED
FREE
VIBRATION
111
3.3
ORTHOGONALITY
OF
THE
MODE
SHAPES
116
3.4
RIGID-BODY
MODES
126
3.5
CONSERVATION
OF
ENERGY
133
XIV
CONTENTS
3.6
FORCED
VIBRATION
OF
THE
UNDAMPED
SYSTEMS
137
3.7
VISCOUSLY
DAMPED
SYSTEMS
139
3.8
GENERAL
VISCOUS
DAMPING
145
3.9
APPROXIMATION
AND
NUMERICAL
METHODS
155
3.10
MATRIX-ITERATION
METHODS
159
3.11
METHOD
OF
TRANSFER MATRICES
173
PROBLEMS
182
CHAPTER
4
VIBRATION
OF
CONTINUOUS
SYSTEMS
188
4.1
FREE
LONGITUDINAL VIBRATIONS
189
4.2
FREE
TORSIONAL
VIBRATIONS
201
4.3
FREE
TRANSVERSE
VIBRATIONS
OF
BEAMS
206
4.4
ORTHOGONALITY
OF
THE
EIGENFUNCTIONS
220
4.5
FORCED
VIBRATIONS
227
4.6
INHOMOGENEOUS
BOUNDARY
CONDITIONS
235
4.7
VISCOELASTIC
MATERIALS
238
4.8
ENERGY
METHODS
241
4.9
APPROXIMATION
METHODS
245
4.10
GALERKIN
'
S
METHOD
256
4.11
ASSUMED-MODES
METHOD
259
PROBLEMS
262
CHAPTER
5
THE
FINITE-ELEMENT
METHOD
268
5.1
ASSUMED
DISPLACEMENT
FIELD
270
5.2
COMMENTS
ON
THE
ELEMENT
SHAPE
FUNCTIONS
276
5.3
CONNECTIVITY
BETWEEN
ELEMENTS
280
5.4
FORMULATION
OF
THE
MASS
MATRIX
286
5.5
FORMULATION
OF
THE
STIFFNESS
MATRIX
290
5.6
EQUATIONS
OF
MOTION
300
5.7
CONVERGENCE
OF
THE
FINITE-ELEMENT
SOLUTION
303
5.8
HIGHER-ORDER
ELEMENTS
310
5.9
SPATIAL
ELEMENTS
314
5.10
LARGE
ROTATIONS
AND
DEFORMATIONS
323
PROBLEMS
328
CHAPTER
6
METHODS
FOR THE
EIGENVALUE
ANALYSIS
332
6.1
SIMILARITY
TRANSFORMATION
333
6.2
POLYNOMIAL
MATRICES
335
6.3
EQUIVALENCE
OF
THE
CHARACTERISTIC
MATRICES
339
6.4
JORDAN
MATRICES
343
6.5
ELEMENTARY
DIVISORS
347
6.6
GENERALIZED
EIGENVECTORS
350
6.7
JACOBI
METHOD
353
6.8
HOUSEHOLDER
TRANSFORMATION
356
CONTENTS
XV
6.9
QR
DECOMPOSITION
360
PROBLEMS
364
APPENDIX
A
LINEAR
ALGEBRA
367
A.L
MATRICES
367
A.2
MATRIX
OPERATIONS
369
A.3
VECTORS
374
A.4
EIGENVALUE
PROBLEM
383
PROBLEMS
384
REFERENCES
387
INDEX
389 |
| any_adam_object | 1 |
| author | Shabana, Ahmed A. 1951- |
| author_GND | (DE-588)114968594 |
| author_facet | Shabana, Ahmed A. 1951- |
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| bvnumber | BV011286981 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | UF 5100 |
| classification_tum | MTA 550f |
| ctrlnum | (OCoLC)34356123 (DE-599)BVBBV011286981 |
| dewey-full | 531/.32 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.32 |
| dewey-search | 531/.32 |
| dewey-sort | 3531 232 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV011286981 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:26:37Z |
| institution | BVB |
| isbn | 0387947442 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007580175 |
| oclc_num | 34356123 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-83 DE-91 DE-BY-TUM |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-83 DE-91 DE-BY-TUM |
| physical | XV, 393 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series2 | Mechanical engineering series |
| spelling | Shabana, Ahmed A. 1951- Verfasser (DE-588)114968594 aut Vibration of discrete and continuous systems A. A. Shabana 2. ed. New York [u.a.] Springer 1997 XV, 393 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mechanical engineering series Früher mehrbd. begr. Werk u.d.T.: Shabana, Ahmed A.: Theory of vibration Vibration Mechanische Schwingung (DE-588)4138305-9 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Mechanische Schwingung (DE-588)4138305-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007580175&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shabana, Ahmed A. 1951- Vibration of discrete and continuous systems Vibration Mechanische Schwingung (DE-588)4138305-9 gnd |
| subject_GND | (DE-588)4138305-9 (DE-588)4123623-3 |
| title | Vibration of discrete and continuous systems |
| title_auth | Vibration of discrete and continuous systems |
| title_exact_search | Vibration of discrete and continuous systems |
| title_full | Vibration of discrete and continuous systems A. A. Shabana |
| title_fullStr | Vibration of discrete and continuous systems A. A. Shabana |
| title_full_unstemmed | Vibration of discrete and continuous systems A. A. Shabana |
| title_short | Vibration of discrete and continuous systems |
| title_sort | vibration of discrete and continuous systems |
| topic | Vibration Mechanische Schwingung (DE-588)4138305-9 gnd |
| topic_facet | Vibration Mechanische Schwingung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007580175&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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