Numerical simulations of lamb waves in plates using a semi-analytical finite element method:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Düsseldorf
VDI-Verl.
2011
|
| Edition: | Als Ms. gedr. |
| Series: | Fortschritt-Berichte VDI
Reihe 20, Rechnerunterstützte Verfahren ; 437 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 138 S. graph. Darst. 21 cm |
| ISBN: | 9783183437207 |
Staff View
MARC
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| 245 | 1 | 0 | |a Numerical simulations of lamb waves in plates using a semi-analytical finite element method |c Zair Asrar Bin Ahmad |
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| 264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2011 | |
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
LIST OF ABBREVIATIONS VIII
LIST OF SYMBOLS IX
ABSTRACT XVI
KURZFASSUNG XVII
1 INTRODUCTION 1
1.1 MOTIVATION 1
1.2 OBJECTIVE 2
1.3 SCOPE 3
2 LITERATURE REVIEW 4
2.1 BRIEF HISTORY ON LAMB WAVE 4
2.2 CHARACTERISTICS OF LAMB WAVE 4
2.3 APPLICATION OF LAMB WAVE IN SHM 6
2.4 SIMULATION OF LAMB WAVE 8
2.4.1 DISPERSION CURVES CALCULATIONS 9
2.4.2 LAMB WAVE SCATTERING SIMULATIONS 11
2.4.3 ACTUATOR/SENSOR COUPLED SYSTEM 11
2.5 CONCLUSIONS 12
3 THE SEMI-ANALYTICAL FINITE ELEMENT METHOD 13
3.1 INTRODUCTION 13
3.2 THEORETICAL BACKGROUND 13
3.2.1 PROBLEM DEFINITION 14
3.2.2 EQUATIONS OF MOTION 14
3.2.3 FINITE ELEMENT METHOD 15
3.3 FORMULATION FOR PLATE ANALYSIS 18
3.4 SOLUTION APPROACHES 20
3.4.1 SYMMETRIC MATRICES 20
3.4.2 VARIABLE FIXATION AND REFORMULATION OF EQUATION 20
3.4.3 SEPARATING SYMMETRIC AND ANTI-SYMMETRIC LAMB MODES 22
4 LAMB WAVE DISPERSION CURVES 25
4.1 INTRODUCTION 25
4.2 PHASE AND GROUP VELOCITY CURVES 25
4.3 DISPERSION CURVES VERIFICATIONS 26
4.4 APPLICATION EXAMPLES 34
4.4.1 SYMMETRICAL AND UNSYMMCTRICAL MATERIAL ARRANGEMENTS 34 4.4.2 SKEW
ANGLES 36
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1017765766
DIGITALISIERT DURCH
IMAGE 2
4.4.3 PLATE WITH INITIAL IN-PLANE LOAD 40
LAMB WAVE REFLECTION 44
5.1 INTRODUCTION 44
5.2 REFLECTION BY VERTICAL PLATE EDGE 44
5.2.1 END PLATE BOUNDARY CONDITION 45
5.2.2 ENERGY CONSERVATION AND RECIPROCITY RELATION 46
5.3 SAFE-FE COUPLING FOR REFLECTION BY GENERAL PLATE EDGES 47
5.3.1 VERIFICATION 49
5.3.2 APPLICATION EXAMPLES 49
5.3.2.1 SYMMETRIC PLATE EDGES 49
5.3.2.2 UNSYMMETRIC PLATE EDGES 49
5.4 REFLECTION BY GENERAL OBSTACLES 53
5.4.1 VERIFICATIONS 56
5.4.2 APPLICATION EXAMPLES 56
5.4.2.1 SYMMETRIC AND UNSYMMETRIC OBSTACLES 56
5.4.2.2 TRANSDUCERS 60
5.4.2.3 STIFFENERS 63
LAMB WAVE ACTUATION AND SENSING 65
6.1 INTRODUCTION 65
6.2 2D POINT FORCE RESPONSE 65
6.3 3D POINT FORCE RESPONSE 67
6.4 CONSIDERATION FOR EDGE REFLECTIONS 71
6.5 APPLICATION EXAMPLES 72
6.5.1 MODE TUNING 72
6.5.2 2D FORCE RESPONSE SIMULATION 79
6.5.3 3D FORCE RESPONSE SIMULATION 84
6.5.4 VOLTAGE RESPONSE BY RECTANGULAR STRAIN SENSORS 88
6.5.4.1 HARMONIC VOLTAGE RESPONSE GENERATED BY RECTANGULAR PIEZO-
ELECTRIC SENSOR 88
6.5.4.2 VOLTAGE RESPONSE TO ARBITRARY EXCITATION 91
6.5.5 ACTUATOR/SENSOR COUPLED SYSTEM SIMULATION 96
CONCLUSIONS AND FUTURE RESEARCH 102
7.1 CONCLUSIONS 102
7.2 FUTURE RESEARCH 106
APPENDIX FOR CHAPTER 5 107
A.I VERTICAL PLATE EDGE REFLECTION 107
A.2 UNSYMMETRIC PLATE EDGE REFLECTION 109
A.3 SAFE-FE MIDDLE PLATE REFLECTION 110
A.3.1 WITHOUT DAMAGES 110
VI
IMAGE 3
A.3.2 COMPLEX SYMMETRIC OBSTACLE 113
A.3.3 DIFFERENT MATERIALS 114
B APPENDIX FOR CHAPTER 6 116
B.I CHAUCHY S INTEGRATION CONTOUR FOR POINT FORCE RESPONSE 116 B.2
VERIFICATIONS FOR EDGE REFLECTIONS 118
C WAVE FINITE ELEMENT METHOD 122
BIBLIOGRAPHY 126
VII
|
| any_adam_object | 1 |
| author | Bin Ahmad, Zair Asrar |
| author_facet | Bin Ahmad, Zair Asrar |
| author_role | aut |
| author_sort | Bin Ahmad, Zair Asrar |
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| dewey-full | 620.105 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.105 |
| dewey-search | 620.105 |
| dewey-sort | 3620.105 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Werkstoffwissenschaften / Fertigungstechnik |
| edition | Als Ms. gedr. |
| format | Thesis Book |
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| isbn | 9783183437207 |
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| publishDate | 2011 |
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| spelling | Bin Ahmad, Zair Asrar Verfasser aut Numerical simulations of lamb waves in plates using a semi-analytical finite element method Zair Asrar Bin Ahmad Als Ms. gedr. Düsseldorf VDI-Verl. 2011 XVII, 138 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Fortschritt-Berichte VDI : Reihe 20, Rechnerunterstützte Verfahren 437 Zugl.: Magdeburg, Univ., Diss., 2011 Plattenwelle (DE-588)4816879-8 gnd rswk-swf Zustandsüberwachung (DE-588)4369492-5 gnd rswk-swf Konstruktionselement (DE-588)4165100-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Schadenfrüherkennung (DE-588)4179292-0 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Konstruktionselement (DE-588)4165100-5 s Schadenfrüherkennung (DE-588)4179292-0 s Zustandsüberwachung (DE-588)4369492-5 s Plattenwelle (DE-588)4816879-8 s Wellenausbreitung (DE-588)4121912-0 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Fortschritt-Berichte VDI Reihe 20, Rechnerunterstützte Verfahren ; 437 (DE-604)BV021786833 437 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024593979&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bin Ahmad, Zair Asrar Numerical simulations of lamb waves in plates using a semi-analytical finite element method Fortschritt-Berichte VDI Plattenwelle (DE-588)4816879-8 gnd Zustandsüberwachung (DE-588)4369492-5 gnd Konstruktionselement (DE-588)4165100-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Schadenfrüherkennung (DE-588)4179292-0 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| subject_GND | (DE-588)4816879-8 (DE-588)4369492-5 (DE-588)4165100-5 (DE-588)4017233-8 (DE-588)4179292-0 (DE-588)4121912-0 (DE-588)4113937-9 |
| title | Numerical simulations of lamb waves in plates using a semi-analytical finite element method |
| title_auth | Numerical simulations of lamb waves in plates using a semi-analytical finite element method |
| title_exact_search | Numerical simulations of lamb waves in plates using a semi-analytical finite element method |
| title_full | Numerical simulations of lamb waves in plates using a semi-analytical finite element method Zair Asrar Bin Ahmad |
| title_fullStr | Numerical simulations of lamb waves in plates using a semi-analytical finite element method Zair Asrar Bin Ahmad |
| title_full_unstemmed | Numerical simulations of lamb waves in plates using a semi-analytical finite element method Zair Asrar Bin Ahmad |
| title_short | Numerical simulations of lamb waves in plates using a semi-analytical finite element method |
| title_sort | numerical simulations of lamb waves in plates using a semi analytical finite element method |
| topic | Plattenwelle (DE-588)4816879-8 gnd Zustandsüberwachung (DE-588)4369492-5 gnd Konstruktionselement (DE-588)4165100-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Schadenfrüherkennung (DE-588)4179292-0 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| topic_facet | Plattenwelle Zustandsüberwachung Konstruktionselement Finite-Elemente-Methode Schadenfrüherkennung Wellenausbreitung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024593979&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021786833 |
| work_keys_str_mv | AT binahmadzairasrar numericalsimulationsoflambwavesinplatesusingasemianalyticalfiniteelementmethod |