Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Düsseldorf
VDI-Verl.
2013
|
| Edition: | Als Ms. gedr. |
| Series: | Fortschritt-Berichte VDI
Reihe 20, Rechnerunterstützte Verfahren ; 446 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 122 S. Ill., graph. Darst. |
| ISBN: | 9783183446209 |
Staff View
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Record in the Search Index
| _version_ | 1804150309424988160 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
LIST OF ABBREVIATIONS VIM
LIST OF MATHEMATICAL OPERATIONS IX
LIST OF SYMBOLS X
ABSTRACT XIII
ZUSAMMENFASSUNG XIV
1 INTRODUCTION 1
1.1 PRINCIPLE OF STRUCTURAL HEALTH MONITORING AND ITS MOTIVATION 1
1.2 STATE OF THE ART 2
1.2.1 STRATEGIES OF SHM 3
1.2.2 PREVIOUS WORK 4
1.3 OBJECTIVE AND OUTLINE OF THE THESIS 6
2 THEORETICAL BACKGROUND 9
2.1 INTRODUCTION 9
2.2 LAMB WAVES 9
2.2.1 ISOTROPIC 3D WAVE EQUATION 10
2.2.2 DERIVATION OF THE LAMB WAVE EQUATIONS FOR A PLATE 11
2.3 LAMB WAVE EXCITATION 16
2.3.1 PIEZOELECTRIC MATERIAL 16
2.3.2 CONSTITUTIVE EQUATIONS OF PIEZOELECTRIC MATERIAL 18
2.4 FINITE ELEMENT METHOD 21
2.4.1 VARIATIONAL PRINCIPLE 21
2.4.2 FINITE ELEMENT EQUATIONS 22
2.5 NON-UNIFORM RATIONAL B-SPLINES (NURBS) 24
2.5.1 ONE-DIMENSIONAL B-SPLINE 24
2.5.2 GEOMETRIC APPROXIMATION WITH B-SPLINES 25
2.5.3 DERIVATIVES OF A B-SPLINE BASIS FUNCTION AND B-SPLINE CURVE 28
2.5.4 SURFACE OR VOLUME APPROXIMATIONS USING B-SPLINES 28
2.5.5 RATIONAL B-SPLINE CURVES, SURFACES AND VOLUMES 29
2.5.6 REFINEMENT STRATEGIES 30
2.6 SUMMARY 32
3 DEVELOPMENT OF A 3D PIEZOMECHANICAL ISOGEOMETRIC FINITE ELEMENT 34
3.1 INTRODUCTION 34
3.2 ISOGEOMETRIC ANALYSIS 34
HTTP://D-NB.INFO/1034486888
IMAGE 2
VI CONTENTS
3.3 PATCH TEST 37
3.4 INFLUENCE OF THE GEOMETRICAL MAPPING 0
3.5 NUMERICAL EXAMPLES 42
3.5.1 PIEZOELECTRIC BIMORPH BEAM 42
3.5.2 SHAPE CONTROL OF AN ACTIVE PLATE 45
3.5.3 BIMORPH RING ACTUATOR 46
3.5.4 PIEZOELECTRIC CIRCULAR PLATE 48
3.6 INFLUENCE OF LOCKING 50
3.7 SUMMARY 53
4 COMPARISON AND EVALUATION OF THE NURBS ELEMENT WITH ALTERNATIVE
APPROACHES FOR LAMB WAVE SIMULATION 55
4.1 INTRODUCTION 55
4.2 A BRIEF OVERVIEW OF THE SHAPE FUNCTIONS 56
4.2.1 SPECTRAL FINITE ELEMENT METHOD AND LAGRANGE POLYNOMIALS 56
4.2.2 P-VERSION OF THE FINITE ELEMENT METHOD AND NORMALIZED INTEGRALS OF
THE LEGENDRE POLYNOMIALS 56
4.2.3 COMPARISON OF THE ANSATZ FUNCTIONS 57
4.3 MODEL AND METHODOLOGY OF THE CONVERGENCE STUDY 59
4.3.1 MODEL DEFINITION 59
4.3.2 METHODOLOGY TO EVALUATE THE QUALITY OF THE NUMERICAL RESULTS ....
60
4.3.3 DISCRETIZATION SET UP 61
4.4 RESULTS AND DISCUSSION 63
4.4.1 DISCRETIZATION IN THE DIRECTION OF THE WAVE PROPAGATION 63
4.4.2 P-REFINEMENT OVER THE THICKNESS OF THE PLATE 65
4.4.3 COMPARISON OF THE HIGHER ORDER APPROACHES TO CONVENTIONAL LINEAR
FINITE ELEMENTS 66
4.4.4 INFLUENCE OF THE INTER-ELEMENT-CONTINUITY TO THE CONVERGENCE RATE
. . 68
4.5 LAMB WAVE PROPAGATION IN A THREE-DIMENSIONAL PLATE 70
4.6 SUMMARY 72
5 APPLICATION OF THE NURBS FINITE ELEMENTS TO SHM PROBLEMS 73
*5.1 INTRODUCTION 73
5.2 LASER DOPPLER VIBROMETRY 74
5.3 ACTUATOR BEHAVIOR 75
*5.3.1 VIBRATION OF FREE-FREE PIEZOCERAMIC ACTUATOR 75
5.3.2 BENDING MODES OF THE PIEZOELECTRIC CIRCULAR PLATE 76
5.3.3 RADIAL MODES OF THE PIEZOELECTRIC CIRCULAR PLATE 77
5.3.4 VIBRATION OF THE COUPLED PIEZOCERAMIC ACTUATOR 79
5.3.5 INFLUENCE PARAMETERS TO THE LAMB WAVE EXCITATION 81
*5.4 LAMB WAVE IN COMPOSITES (CONTINUOUS MODE CONVERSION) 88
5.4.1 EXPERIMENTAL SETUP 89
5.4.2 THE DESCRIPTION OF THE PHENOMENON 90
5.4.3 THE IDENTIFICATION OF CMC 92
5.4.4 EXPERIMENTAL AND NUMERICAL INVESTIGATION OF CMC 93
5.4.5 SUMMARY 98
IMAGE 3
CONTENTS
VII
6 CONCLUSION AND OUTLOOK 100
6.1 CONCLUSION 100
6.2 OUTLOOK 102
A MATERIAL DATA 104
B NURBS SURFACE AND VOLUME DESCRIPTION 107
C SOLUTIONS OF THE CONVERGENCE STUDY 109
REFERENCES 110
|
| any_adam_object | 1 |
| author | Willberg, Christian |
| author_facet | Willberg, Christian |
| author_role | aut |
| author_sort | Willberg, Christian |
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| building | Verbundindex |
| bvnumber | BV040987657 |
| classification_rvk | ZM 3900 |
| ctrlnum | (OCoLC)847063808 (DE-599)BVBBV040987657 |
| discipline | Werkstoffwissenschaften / Fertigungstechnik |
| edition | Als Ms. gedr. |
| format | Thesis Book |
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| id | DE-604.BV040987657 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:36:53Z |
| institution | BVB |
| isbn | 9783183446209 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025965512 |
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| physical | XIV, 122 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | VDI-Verl. |
| record_format | marc |
| series | Fortschritt-Berichte VDI |
| series2 | Fortschritt-Berichte VDI : Reihe 20, Rechnerunterstützte Verfahren |
| spelling | Willberg, Christian Verfasser aut Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring Christian Willberg Als Ms. gedr. Düsseldorf VDI-Verl. 2013 XIV, 122 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fortschritt-Berichte VDI : Reihe 20, Rechnerunterstützte Verfahren 446 Zugl.: Braunschweig, Techn. Univ., Diss., 2012 Schadenfrüherkennung (DE-588)4179292-0 gnd rswk-swf Zustandsüberwachung (DE-588)4369492-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf NURBS (DE-588)4376916-0 gnd rswk-swf Piezokeramik (DE-588)4174675-2 gnd rswk-swf Konstruktionselement (DE-588)4165100-5 gnd rswk-swf Plattenwelle (DE-588)4816879-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Plattenwelle (DE-588)4816879-8 s Wellenausbreitung (DE-588)4121912-0 s Finite-Elemente-Methode (DE-588)4017233-8 s NURBS (DE-588)4376916-0 s DE-604 Konstruktionselement (DE-588)4165100-5 s Piezokeramik (DE-588)4174675-2 s Schadenfrüherkennung (DE-588)4179292-0 s Zustandsüberwachung (DE-588)4369492-5 s Fortschritt-Berichte VDI Reihe 20, Rechnerunterstützte Verfahren ; 446 (DE-604)BV021786833 446 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025965512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Willberg, Christian Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring Fortschritt-Berichte VDI Schadenfrüherkennung (DE-588)4179292-0 gnd Zustandsüberwachung (DE-588)4369492-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Wellenausbreitung (DE-588)4121912-0 gnd NURBS (DE-588)4376916-0 gnd Piezokeramik (DE-588)4174675-2 gnd Konstruktionselement (DE-588)4165100-5 gnd Plattenwelle (DE-588)4816879-8 gnd |
| subject_GND | (DE-588)4179292-0 (DE-588)4369492-5 (DE-588)4017233-8 (DE-588)4121912-0 (DE-588)4376916-0 (DE-588)4174675-2 (DE-588)4165100-5 (DE-588)4816879-8 (DE-588)4113937-9 |
| title | Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring |
| title_auth | Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring |
| title_exact_search | Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring |
| title_full | Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring Christian Willberg |
| title_fullStr | Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring Christian Willberg |
| title_full_unstemmed | Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring Christian Willberg |
| title_short | Development of a new isogeometric finite element and its application for Lamb wave based structural health monitoring |
| title_sort | development of a new isogeometric finite element and its application for lamb wave based structural health monitoring |
| topic | Schadenfrüherkennung (DE-588)4179292-0 gnd Zustandsüberwachung (DE-588)4369492-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Wellenausbreitung (DE-588)4121912-0 gnd NURBS (DE-588)4376916-0 gnd Piezokeramik (DE-588)4174675-2 gnd Konstruktionselement (DE-588)4165100-5 gnd Plattenwelle (DE-588)4816879-8 gnd |
| topic_facet | Schadenfrüherkennung Zustandsüberwachung Finite-Elemente-Methode Wellenausbreitung NURBS Piezokeramik Konstruktionselement Plattenwelle Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025965512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021786833 |
| work_keys_str_mv | AT willbergchristian developmentofanewisogeometricfiniteelementanditsapplicationforlambwavebasedstructuralhealthmonitoring |