Energy methods in dynamics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2011
|
| Series: | Interaction of mechanics and mathematics
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | X, 292 S. graph. Darst. |
| ISBN: | 9783642224041 9783642224034 3642224032 |
Staff View
MARC
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Record in the Search Index
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IMAGE 1
CONTENTS
PART I LINEAR THEORY 1 SINGLE OSCILLATOR 3
1 .1 HARMONIC OSCILLATOR 3
1.2 DAMPED OSCILLATOR 9
1.3 FORCED OSCILLATOR 20
1.4 HARMONIC EXCITATIONS AND RESONANCE 26
2 COUPLED OSCILLATORS 35
2. 1 CONSERVATIVE OSCILLATORS 35
2.2 DISSIPATIVE OSCILLATORS 42
2.3 FORCED OSCILLATORS AND VIBRATION CONTROL 49
2.4 VARIATIONAL PRINCIPLES 55
2.5 OSCILLATORS WITH N DEGREES OF FREEDOM 60
3 CONTINUOUS OSCILLATORS 71
3.1 CHAIN OF OSCILLATORS 71
3.2 STRING 76
3.3 BEAM 82
3.4 MEMBRANE 86
3.5 PLATE 91
3.6 GENERAL CONTINUOUS OSCILLATORS 98
4 LINEAR WAVES 109
4.1 HYPERBOLIC WAVES 109
4.2 DISPERSIVE WAVES 118
4.3 ELASTIC WAVEGUIDE 127
4.4 ENERGY METHOD 137
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1012631133
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
PART II NONLINEAR THEORY
5 AUTONOMOUS SINGLE OSCILLATOR 151
5.1 CONSERVATIVE OSCILLATOR 151
5.2 DISSIPATIVE OSCILLATOR 159
5.3 SELF-EXCITED OSCILLATOR 166
5.4 OSCILLATOR WITH WEAK OR STRONG DISSIPATION 176
6 NON-AUTONOMOUS SINGLE OSCILLATOR 185
6.1 PARAMETRICALLY-EXCITED OSCILLATOR 185
6.2 MATHIEU'S DIFFERENTIAL EQUATION 193
6.3 DUFFING'S FORCED OSCILLATOR 198
6.4 FORCED VIBRATION OF SELF-EXCITED OSCILLATOR 205
7 COUPLED OSCILLATORS 215
7.1 CONSERVATIVE OSCILLATORS 215
7.2 BIFURCATION OF NONLINEAR NORMAL MODES 223
7.3 KAM THEORY 230
7.4 COUPLED SELF-EXCITED OSCILLATORS 238
8 NONLINEAR WAVES 247
8.1 SOLITARY AND PERIODIC WAVES 247
8.2 INVERSE SCATTERING TRANSFORM 254
8.3 ENERGY METHOD 263
8.4 AMPLITUDE MODULATIONS 272
NOTATION 285
REFERENCES 287
INDEX 289 |
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| author | Le, Khanh Chau 1955- |
| author_GND | (DE-588)120947528 |
| author_facet | Le, Khanh Chau 1955- |
| author_role | aut |
| author_sort | Le, Khanh Chau 1955- |
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| building | Verbundindex |
| bvnumber | BV039702916 |
| classification_rvk | SK 950 UF 5100 |
| ctrlnum | (OCoLC)773834712 (DE-599)DNB1012631133 |
| dewey-full | 531.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.11 |
| dewey-search | 531.11 |
| dewey-sort | 3531.11 |
| dewey-tens | 530 - Physics |
| discipline | Maschinenbau / Maschinenwesen Physik Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-21T00:15:55Z |
| institution | BVB |
| isbn | 9783642224041 9783642224034 3642224032 |
| language | English |
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| physical | X, 292 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series2 | Interaction of mechanics and mathematics |
| spelling | Le, Khanh Chau 1955- Verfasser (DE-588)120947528 aut Energy methods in dynamics Khanh Chau Le Berlin [u.a.] Springer 2011 X, 292 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Interaction of mechanics and mathematics Energiemethode (DE-588)4152223-0 gnd rswk-swf Mechanische Welle (DE-588)7582225-8 gnd rswk-swf Mechanische Schwingung (DE-588)4138305-9 gnd rswk-swf Hamiltonsches Prinzip (DE-588)4158958-0 gnd rswk-swf Mechanische Schwingung (DE-588)4138305-9 s Mechanische Welle (DE-588)7582225-8 s Hamiltonsches Prinzip (DE-588)4158958-0 s Energiemethode (DE-588)4152223-0 s DE-604 Erscheint auch als Online-Ausgabe Le, Khanh Chau Energy Methods in Dynamics X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3838661&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=024551413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Le, Khanh Chau 1955- Energy methods in dynamics Energiemethode (DE-588)4152223-0 gnd Mechanische Welle (DE-588)7582225-8 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Hamiltonsches Prinzip (DE-588)4158958-0 gnd |
| subject_GND | (DE-588)4152223-0 (DE-588)7582225-8 (DE-588)4138305-9 (DE-588)4158958-0 |
| title | Energy methods in dynamics |
| title_auth | Energy methods in dynamics |
| title_exact_search | Energy methods in dynamics |
| title_full | Energy methods in dynamics Khanh Chau Le |
| title_fullStr | Energy methods in dynamics Khanh Chau Le |
| title_full_unstemmed | Energy methods in dynamics Khanh Chau Le |
| title_short | Energy methods in dynamics |
| title_sort | energy methods in dynamics |
| topic | Energiemethode (DE-588)4152223-0 gnd Mechanische Welle (DE-588)7582225-8 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Hamiltonsches Prinzip (DE-588)4158958-0 gnd |
| topic_facet | Energiemethode Mechanische Welle Mechanische Schwingung Hamiltonsches Prinzip |
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