رسالة دكتوراة بعنوان Updating Structural Dynamics Models
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 رسالة دكتوراة بعنوان Updating Structural Dynamics Models

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تاريخ التسجيل : 01/07/2009
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رسالة دكتوراة بعنوان Updating Structural Dynamics Models  Empty
مُساهمةموضوع: رسالة دكتوراة بعنوان Updating Structural Dynamics Models    رسالة دكتوراة بعنوان Updating Structural Dynamics Models  Emptyالأحد 28 أبريل 2013, 7:42 pm

أخوانى فى الله
أحضرت لكم
رسالة دكتوراة بعنوان
Updating Structural Dynamics Models
By Wilhehnina Josefine Visser
A thesis submitted to the University of London
for the degree of Doctor of Philosophy
Department of Mechanical Engineering
Imperial College of Science, Technology and Medicine

رسالة دكتوراة بعنوان Updating Structural Dynamics Models  U_s_d_10
ويتناول الموضوعات الأتية :


TABLE OF CONTENTS
ABSTRACT I
ACKNOWLEDGEMENTS II
NOMENCLATURE III
CHAPTER 1 - INTRODUCTION
1.1 BACKGROUND
1.2 THE ANALYTICAL APPROACH
1.3 THE EXPERIMENTAL APPROACH
1.4 CORRELATION AND UPDATING
1.5 SCOPE OF THESIS
CHAPTER 2 - LITERATURE REVIEW
INTRODUCTION
TECHNIQUES FOR COMPARISON AND CORRELATION
2.2.1 Direct comparisons
2.2.2 The modal assurance criterion (MAC)
2.2.3 The coordinate modal assurance criterion (COMAC)
2.2.4 Ortbogonality methods
2.2.5 Energy comparisons and force balance
SIZE AND MESH INCOMPATIBILITY
2.3.1 Model reduction
2.3.2 Coordinate expansion
MODEL UPDATING METHODS USING MODAL DATA
2.4.1 Methods using Lagrange multipliers
2.4.2 Direct method based on matrix perturbation
2.4.3 Error matrix methods
2.4.4 Matrix mixing methods
2.4.5 Methods based on force balance
2.4.6 Methods based on orthogonality
2.4.7 Statistics and sensitivity methods
2.4.8 Energy methods
2.4.9 Updating based on control methods
MODEL UPDATING METHODS USING RESPONSE DATA
2.5.1 A direct updating technique using FRF data
2.5.2 Techniques based on minimising response equation errors
2.5.3 Updating methods using time domain data
CONCLUDING REMARKS
CHAPTER 34JPDATING USING MODAL DATA, THE EMM
INTRODUCTION 30
THE ERROR MATRIX METHOD 31
3.2.1 Theory 31
3.2.2 Case studies on a 10 DOF system 31
AN IMPROVED PROCEDURE FOR THE EMM 34
3.3.1 Theory 34
3.3.2 Case studies on a 10 DOF system 35
THE GARTEUR III EXERCISE 37
CONCLUDING REMARKS  
CHAPTER 4 - EXPANDING MEASURED MODE SHAPES
4.1 INTRODUCTION 41
4.2 THEORETICAL BACKGROUND 41
4.2.1 The Inverse Reduction Method 41
4.2.2 The Modal Transformation Expansion Method 42
4.3 CASE STUDIES 44
4.3.1 Test cases 44
4.3.2 Summary of results 49
4.4 MODEL UPDATING USING EXPANDED MODES 52
4.4.1 The GARTEUR III exercise 52
4.4.2 Discussion on expanded data and the orthogonality condition 56
4.5 CONCLUDING REMARKS 58
CHAPTER 5 - UPDATING USING FRF DATA; THE RFM
INTRODUCTION 59
THEORY 59
COORDINATE INCOMPLETENESS 61
UNIQUENESS OF THE SOLUTION 62
CASE STUDIES ON AN 8 DOF SYSTEM 63
5.5.1 The 8 DOF system 63
5.5.2 Updating using complete data from the experimental model 64
5.5.3 Incomplete experimental data 65
5.5.4 Frequency points selection 68
5.5.5 Noisy experimental data 69
CASE STUDIES ON A FREE-FREE BEAM 71
5.6.1 The free-free beam 71
5.6.2 Noise-free experimental FRF data 72
5.6.3 Noisy experimental FRF data 75
5.6.4 The effect of excitation direction 77
5.6.5 The effect of reduced number of coordinates 78
5.6.6 The effect of coordinate mismatch 80
THE GARTEUR III EXERCISE 81
CONVERGENCE CRITERIA 84
CONCLUDING REMARKS 86
CHAPTER 6 - UPDATING USING COMPLEX FRF DATA
6.1 INTRODUCTION 88
6.2 THEORETICAL BACKGROUND 88
6.3 CASE STUDIES ON A FREE-FREE BEAM 90
6.4 USING MEASURED FRF DATA 92
6.5. CONCLUDING REMARKS 95VII
CHAPTER 7 - COMPUTATIONAL ASPECTS OF THE RFM
7.1 INTRODUCTION 96
7.2 RFM SOLUTION IMPROVEMENTS 96
7.2.1 Iterative refinement %
7.2.2 Balancing the solution matrices 97
7.2.3. Recommendations 101
7.3 FREQUENCY POINT SELECTION FOR THE RFM 101
7.3.1 Basic Equations 101
7.3.2 Noise-free 2 DOF test cases 104
7.3.3 2 DOF test cases with noise 107
7.3.4 Substitution of unmeasured data with analytical counterparts 109
7.3.5 Recommendations 111
7.4 COMPUTATIONAL CONSIDERATIONS 112
7.4.1 Least-squares solution 112
7.4.2 Receptance matrix calculations 113
7.4.3 The uniqueness of the updated model 114
7.4.4 Recommendations 124
7.5 CONCLUDING REMARKS 124
CHAPTER 8 - COORDINATE INCOMPATIBILITY
8.1 INTRODUCTION 126
8.2 RECEPTANCE COLUMN COORDINATE EXPANSION METHODS 127
8.2.1 The inverse-reduction method 127
8.2.2 Using analytical mode shapes 127
8.3 COMPARISON OF COORDINATE EXPANSION METHODS 129
8.4 EXPANDED EXPERIMENTAL COORDINATES IN THE RFM 132
8.4.1 2 DOF test case 132
8.4.2 Beam test cases 134
8.5 REDUCED ANALYTICAL COORDINATES IN THE RFM 136
8.6 CONCLUDING REMARKS 139
CHAPTER 9 - UPDATING OF STRUCTURAL JOINTS
INTRODUCTION 141
PROPOSED JOINT UPDATING PROCEDURE 143
CASE STUDIES ON A FRAME STRUCTURE 145
9.3.1 The 2D frame models 145
9.3.2 Joint discontinuity 146
9.3.3 Joint stiffness modelling errors 150
9.3.4 Discussion 154
APPLICATION OF THE JOINT UPDATING PROCEDURE 154
9.4.1 The analytical frame model 154
9.4.2 Joint discontinuity 155
9.4.3 Joint stiffness modelling errors 158
9.4.4 Discussion 162
CONCLUDING REMARKS 163VlIl
CHAPTER 10 - EXPERIMENTAL CASE STUDY
10.1 THE 3-BAY TRUSS STRUCTURE
10.2 EXPERIMENTAL DATA
10.3 THE FINITE ELEMENT MODEL
10.4 CORRELATION BETWEEN EXPERIMENTAL AND FE DATA
10.5 SIMULATED UPDATING CASE STUDIES
10.6 MODEL UPDATING USING MEASURED FRF DATA
10.6.1 Direct use of the experimental data
10.6.2 Employing regenerated experimental data
10.6.3 Error location using the RFM
10.6.4 Updating the FE model
10.6.4 Discussion
10.7. CONCLUDING REMARKS
CHAPTER 11 - CONCLUSIONS AND SUGGESTIONS
CONCLUSIONS 183
11.1.1 Intmduction 183
11.1.2 Updating using modal data 183
11.1.3 Updating using frequency response data 184
RECOMMENDED UPDATING STRATEGY 186
SUMMARY OF CONTRIBUTIONS OF PRESENT WORK 189
SUGGESTIONS FOR FURTHER STUDIES 190
CLOSURE 191
APPENDICES
A THE RESPONSE FUNCTION METHOD 192
B ILLUSTRATIONS OF REDUCED COORDINATES IN THE RFM 196
C THE 3-BAY TRUSS STRUCTURE 204
D 3-BAY TRUSS STRUCTURE - RFM RESULTS 208
REFERENCES


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