Vibrations of elastic plates: linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon
Springer
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIII, 228 S. graph. Darst. |
| ISBN: | 0387945148 |
Staff View
MARC
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| 100 | 1 | |a Yu, Yi-Yuan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Vibrations of elastic plates |b linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers |c Yi-Yuan Yu |
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon |b Springer |c 1996 | |
| 300 | |a XIII, 228 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Composite construction |x Vibration |x Mathematical models | |
| 650 | 4 | |a Plates (Engineering) |x Vibration |x Mathematical models | |
| 650 | 4 | |a Sandwich construction |x Vibration |x Mathematical models | |
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| 650 | 0 | 7 | |a Schichtverbundwerkstoff |0 (DE-588)4311269-9 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Dünnwandiges Bauelement |0 (DE-588)4210413-0 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1807594262840213504 |
|---|---|
| adam_text |
CONTENTS
PREFACE
VII
CHAPTER
1
NONLINEAR
ELASTICITY
THEORY
1
1.1
STRAINS
2
1.2
STRESSES
6
1.3
STRAIN
ENERGY
FUNCTION
AND
PRINCIPLE
OF
VIRTUAL
WORK
12
1.4
HAMILTON
'
S
PRINCIPLE
AND
VARIATIONAL
EQUATIONS
OF
MOTION
15
1.5
PSEUDO-VARIATIONAL
EQUATIONS
OF
MOTION
19
1.6
GENERALIZED
HAMILTON
'
S
PRINCIPLE
AND
VARIATIONAL
EQUATION
OF
MOTION
22
1.7
STRESS-STRAIN
RELATIONS
IN
NONLINEAR
ELASTICITY
24
REFERENCES
29
CHAPTER
2
LINEAR
VIBRATIONS
OF
PLATES
BASED
ON
ELASTICITY
THEORY
31
2.1
EQUATIONS
OF
LINEAR
ELASTICITY
THEORY
32
2.2
RAYLEIGH-LAMB
SOLUTION
FOR
PLANE-STRAIN
MODES
OF
VIBRATION
IN
AN
INFINITE
PLATE
33
2.3
SIMPLE
THICKNESS
MODES
IN
AN
INFINITE
PLATE
39
2.4
HORIZONTAL
SHEAR
MODES
IN
AN
INFINITE
PLATE
42
2.5
MODES
IN
AN
INFINITE
PLATE
INVOLVING
PHASE
REVERSALS
IN
BOTH
X
AND
Y-DIRECTIONS
44
2.6
PLANE-STRAIN
MODES
IN
AN
INFINITE
SANDWICH
PLATE
45
2.7
SIMPLE
THICKNESS
MODES
IN
AN
INFINITE
SANDWICH
PLATE
48
REFERENCES
54
XII
CONTENTS
CHAPTER
3
LINEAR
MODELING
OF
HOMOGENEOUS
PLATES
57
3.1
CLASSICAL
EQUATIONS
FOR
FLEXURE
OF
A
HOMOGENEOUS
PLATE
58
3.2
REFINED
EQUATIONS
FOR
FLEXURE
OF
AN
ISOTROPIC
PLATE:
MINDLIN
PLATE
EQUATIONS
AND
TIMOSHENKO
BEAM
EQUATIONS
67
3.3
CLASSICAL
EQUATIONS
FOR
EXTENSION
OF
AN
ISOTROPIC
PLATE
73
3.4
REFINED
EQUATIONS
FOR
EXTENSION
OF
AN
ISOTROPIC
PLATE
75
3.5
VIBRATIONS
OF
AN
INFINITE
PLATE:
USEFUL
RANGES
OF
PLATE
EQUATIONS
78
3.6
GENERAL
EQUATIONS
OF
AN
ANISOTROPIC
PLATE
85
REFERENCES
88
CHAPTER
4
LINEAR
MODELING
OF
SANDWICH
PLATES
91
4.1
REFINED
EQUATIONS
FOR
FLEXURE
OF
A
SANDWICH
PLATE
INCLUDING
TRANSVERSE
SHEAR
EFFECTS
IN
ALL
LAYERS
92
4.2
SIMPLIFIED
REFINED
EQUATIONS
FOR
FLEXURE
OF
A
SANDWICH
PLATE
WITH
MEMBRANE
FACINGS
99
4.3
CLASSICAL
EQUATIONS
FOR
FLEXURE
OF
A
SANDWICH
PLATE
103
4.4
FLEXURAL
VIBRATION
OF
AN
INFINITE
SANDWICH
PLATE:
USEFUL
RANGES
OF
SANDWICH
PLATE
EQUATIONS
104
4.5
EXTENSIONAL
VIBRATION
OF
AN
INFINITE
SANDWICH
PLATE
BASED
ON
CLASSICAL
EQUATIONS
110
REFERENCES
113
CHAPTER
5
LINEAR
MODELING
OF
LAMINATED
COMPOSITE
PLATES
115
5.1
CLASSICAL
EQUATIONS
OF
A
LAMINATED
COMPOSITE
PLATE
116
5.2
REFINED
EQUATIONS
OF
A
LAMINATED
COMPOSITE
PLATE
121
5.3
FLEXURAL
VIBRATION
OF
A
SYMMETRIC
LAMINATE:
USEFUL
RANGES
OF
EQUATIONS
124
5.4
EXTENSIONAL
VIBRATION
OF
A
SYMMETRIC
LAMINATE:
USEFUL
RANGES
OF
EQUATIONS
126
REFERENCES
128
CHAPTER
6
LINEAR
VIBRATIONS
BASED
ON
PLATE
EQUATIONS
131
6.1
FREE
FLEXURAL
VIBRATION
OF
PLATES
WITH
SIMPLY
SUPPORTED
EDGES
131
6.2
FREE
FLEXURAL
VIBRATION
OF
PLATES
WITH
CLAMPED
EDGES
133
6.3
FORCED
FLEXURAL
VIBRATION
OF
HOMOGENEOUS
AND
SANDWICH
PLATES
IN
PLANE
STRAIN
138
REFERENCES
149
CONTENTS
XIII
CHAPTER
7
NONLINEAR
MODELING
FOR
LARGE
DEFLECTIONS
OF
BEAMS,
PLATES,
AND
SHALLOW
SHELLS
151
7.1
EQUATIONS
FOR
LARGE
DEFLECTIONS
OF
A
BUCKLED
TIMOSHENKO
BEAM
152
7.2
VON
KDRMDN
EQUATIONS
FOR
LARGE
DEFLECTIONS
OF
A
PLATE:
INCORPORATION
OF
TRANSVERSE
SHEAR
EFFECT
155
7.3
MARGUERRE
EQUATIONS
FOR
LARGE
DEFLECTIONS
OF
A
SHALLOW
SHELL:
INCORPORATION
OF
TRANSVERSE
SHEAR
EFFECT
161
7.4
REMARKS
ON
THE
VARIATIONAL
EQUATIONS
OF
MOTION
166
REFERENCES
167
CHAPTER
8
NONLINEAR
MODELING
AND
VIBRATIONS
OF
SANDWICHES
AND
LAMINATED
COMPOSITES
169
8.1
EQUATIONS
FOR
LARGE
DEFLECTIONS
OF
A
SANDWICH
PLATE
170
8.2
NONLINEAR
VIBRATION
OF
A
SANDWICH
PLATE
173
8.3
EQUATIONS
FOR
LARGE
DEFLECTIONS
OF
A
LAMINATED
COMPOSITE
PLATE
176
8.4
NONLINEAR
VIBRATION
OF
AN
ORTHOTROPIC
SYMMETRIC
LAMINATE
183
8.5
EQUATIONS
FOR
LARGE
DEFLECTIONS
OF
A
SANDWICH
BEAM
WITH
LAMINATED
COMPOSITE
FACINGS
AND
AN
ORTHOTROPIC
CORE
186
REFERENCES
191
CHAPTER
9
CHAOTIC
VIBRATIONS
OF
BEAMS
193
9.1
A
NUMERICAL
STUDY
OF
CHAOS
ACCORDING
TO
DUFFING
'
S
EQUATION:
EFFECT
OF
DAMPING
194
9.2
MORE
POINCARS
MAPS
ACCORDING
TO
DUFFING
'
S
EQUATION
FOR
SMALL
DAMPING
196
9.3
SPECTRAL
ANALYSIS
OF
CHAOS
198
9.4
ACOUSTIC
RADIATION
FROM
CHAOTIC
VIBRATIONS
OF
A
BEAM
203
REFERENCES
206
CHAPTER
10
NONLINEAR
MODELING
OF
PIEZOELECTRIC
PLATES
209
10.1
FROM
ELASTICITY
TO
PEIZOELECTRICITY
210
10.2
GENERALIZED
HAMILTON
'
S
PRINCIPLE
AND
VARIATIONAL
EQUATION
OF
MOTION
INCLUDING
PIEZOELECTRIC
EFFECT
211
10.3
CLASSICAL
EQUATIONS
FOR
LARGE
DEFLECTIONS
OF
A
PIEZOELECTRIC
PLATE
213
10.4
REFINED
EQUATIONS
FOR
LARGE
DEFLECTIONS
OF
A
PIEZOELECTRIC
PLATE
218
10.5
FINAL
REMARKS
ON
THE
VARIATIONAL
EQUATIONS
OF
MOTION
223
REFERENCES
224
INDEX
227 |
| any_adam_object | 1 |
| author | Yu, Yi-Yuan |
| author_facet | Yu, Yi-Yuan |
| author_role | aut |
| author_sort | Yu, Yi-Yuan |
| author_variant | y y y yyy |
| building | Verbundindex |
| bvnumber | BV010904458 |
| callnumber-first | T - Technology |
| callnumber-label | TA492 |
| callnumber-raw | TA492.P7 |
| callnumber-search | TA492.P7 |
| callnumber-sort | TA 3492 P7 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | UF 5200 |
| classification_tum | ELT 066f WER 420f MTA 145f MTA 550f |
| ctrlnum | (OCoLC)32240464 (DE-599)BVBBV010904458 |
| dewey-full | 624.1/7765 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 624 - Civil engineering |
| dewey-raw | 624.1/7765 |
| dewey-search | 624.1/7765 |
| dewey-sort | 3624.1 47765 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Werkstoffwissenschaften Bauingenieurwesen Elektrotechnik |
| format | Book |
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| id | DE-604.BV010904458 |
| illustrated | Illustrated |
| indexdate | 2024-08-17T00:57:01Z |
| institution | BVB |
| isbn | 0387945148 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007293469 |
| oclc_num | 32240464 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-83 DE-29T |
| owner_facet | DE-91G DE-BY-TUM DE-83 DE-29T |
| physical | XIII, 228 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| spelling | Yu, Yi-Yuan Verfasser aut Vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers Yi-Yuan Yu New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon Springer 1996 XIII, 228 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Mathematisches Modell Composite construction Vibration Mathematical models Plates (Engineering) Vibration Mathematical models Sandwich construction Vibration Mathematical models Elastizität (DE-588)4014159-7 gnd rswk-swf Platte (DE-588)4046304-7 gnd rswk-swf Schichtverbundwerkstoff (DE-588)4311269-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Mechanische Schwingung (DE-588)4138305-9 gnd rswk-swf Piezoelektrischer Stoff (DE-588)4127559-7 gnd rswk-swf Dünnwandiges Bauelement (DE-588)4210413-0 gnd rswk-swf Platte (DE-588)4046304-7 s Elastizität (DE-588)4014159-7 s Mechanische Schwingung (DE-588)4138305-9 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Dünnwandiges Bauelement (DE-588)4210413-0 s Schichtverbundwerkstoff (DE-588)4311269-9 s Piezoelektrischer Stoff (DE-588)4127559-7 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007293469&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yu, Yi-Yuan Vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers Mathematisches Modell Composite construction Vibration Mathematical models Plates (Engineering) Vibration Mathematical models Sandwich construction Vibration Mathematical models Elastizität (DE-588)4014159-7 gnd Platte (DE-588)4046304-7 gnd Schichtverbundwerkstoff (DE-588)4311269-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Piezoelektrischer Stoff (DE-588)4127559-7 gnd Dünnwandiges Bauelement (DE-588)4210413-0 gnd |
| subject_GND | (DE-588)4014159-7 (DE-588)4046304-7 (DE-588)4311269-9 (DE-588)4114528-8 (DE-588)4138305-9 (DE-588)4127559-7 (DE-588)4210413-0 |
| title | Vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers |
| title_auth | Vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers |
| title_exact_search | Vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers |
| title_full | Vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers Yi-Yuan Yu |
| title_fullStr | Vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers Yi-Yuan Yu |
| title_full_unstemmed | Vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers Yi-Yuan Yu |
| title_short | Vibrations of elastic plates |
| title_sort | vibrations of elastic plates linear and nonlinear dynamical modeling of sandwiches laminated composites and piezoelectric layers |
| title_sub | linear and nonlinear dynamical modeling of sandwiches, laminated composites, and piezoelectric layers |
| topic | Mathematisches Modell Composite construction Vibration Mathematical models Plates (Engineering) Vibration Mathematical models Sandwich construction Vibration Mathematical models Elastizität (DE-588)4014159-7 gnd Platte (DE-588)4046304-7 gnd Schichtverbundwerkstoff (DE-588)4311269-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Piezoelektrischer Stoff (DE-588)4127559-7 gnd Dünnwandiges Bauelement (DE-588)4210413-0 gnd |
| topic_facet | Mathematisches Modell Composite construction Vibration Mathematical models Plates (Engineering) Vibration Mathematical models Sandwich construction Vibration Mathematical models Elastizität Platte Schichtverbundwerkstoff Mechanische Schwingung Piezoelektrischer Stoff Dünnwandiges Bauelement |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007293469&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT yuyiyuan vibrationsofelasticplateslinearandnonlineardynamicalmodelingofsandwicheslaminatedcompositesandpiezoelectriclayers |