Dynamic Substructuring & Transfer Path Analysis,Vol. 4

Front Cover	1
Conference Proceedings of the Society for Experimental Mechanics Series	2
Dynamic Substructuring & Transfer Path Analysis, Vol. 4	4
Preface	6
Contents	8
Modal Vibration Testing of a Frame and Wing Structure	10
Introduction	10
Testing Procedure	11
Frequency Response	12
Mode Frequencies and Shapes	12
Hilbert Transform and Nonlinear Analysis	17
Conclusion	18
Toward 3D Experimental Impulse-Based Substructuring Using the Virtual Point Transformation	20
Introduction	20
Theory of Impulse-Based Substructuring	21
Virtual Point Transformation for IBS	21
Experimental Setup	26
Experimental Results	27
Conclusion	29
A Look at Overfitting in Source Estimation Problems	44
Introduction	44
Theoretical Model for Overfitting in Source Estimation	45
Cross Validation as a Method to Identify Overfitting	46
Regularization as a Method to Mitigate overfitting	46
Example Problem for the Overfitting Study	47
Testing The Hypothesis For Overfitting	52
Evaluating How Regularization Mitigates Overfitting	57
Testing the CV Hypothesis	58
Conclusion	61
A Numerical Decoupling of a Wing Together with Two Nonlinear Radius-pylons, from the Technical Division's Substructuring Four-unit Frame Structure	64
Introduction	65
Testing	65
Modal Analysis	65
Conclusion	67
Finite Element Modeling and Substructuring to Simulate Shock Plate Testing	68
Introduction	68
Methods	69
Developing the Abaqus Model	69
Response of Plate to Impulsive Loading	70
Results	74
Conclusion	76
Introduction	78
Method	78
Transfer Path Analysis	79
Equivalent force for transfer function estimation	79
Towards condition monitoring of joints	80
Estimation of joint dynamics connected to a rigid wall	81
Numerical case study	81
Simulation setup	81
Results	82
Conclusion and Outlook	84
Appendix: Results for high correlation of equivalent forces	85
Frequency Response Function Expansion using a Symmetry Preserving Gysin Expansion Technique	88
Introduction	88
FRF Expansion Methodologies	88
Gysin Expansion	89
Symmetry Constrained Gysin Expansion	89
Numerical Case Study	90
Conclusion	93
Cutting Force Estimation in Sensor-Equipped Metal Cutting Tools Using Strain-Force Transfer Function	94
Introduction	94
Method	96
Experimental Verification and Results	99
Conclusion	102
Enhanced Mode Selection in Modal Domain Substructuring on the Round Robin Structure	104
Introduction	104
Primal Formulation of Modal Substructuring	105
Modal Domain Virtual Point Transformation	106
Mode Selection Framework	106
Round Robin Structure Case Study	107
Conclusion	108
Investigation of the Use of Commercial Robotic Arms for Real-Time Hybrid Substructuring	110
Introduction	110
RTHS Test Setup	112
Simulative Investigation	114
Experimental Results	116
Conclusion	120
Model Initialization in Real Time Hybrid Testing for Experimental Detection of Isolated Branches	122
Introduction	122
Analytical Model and Coupled Simulation	125
Variable System Configuration	126
Experimental Results	127
Conclusion	129
Extrapolating Dynamic Transfer Functions from Multi-Input Multi-Output Vibration Testing and Simulation	132
Introduction	132
Analysis	135
Conclusion	141
Revisiting the Dual Admittance-Based Quasi-Static Formulation for the Identification of Linear Joint Dynamics with Dynamic Substructuring	144
Introduction	144
Quasi-static Substructuring Identification	145
Quasi-static primal formulation with impedances: Inverse Substructuring	146
Quasi-static dual formulation with admittances: LM-FBS with weakened interface	146
On the equivalence between primal and dual quasi-static formulations	147
Admittance-based primal derivation	148
Admittance-based dual derivation	148
Conclusion	150
Some Matrix Inversion Properties	151
On the Use of Frequency-Dependent Modal Basis for Interface Modeling in Frequency-Based Substructuring	152
Introduction	152
Theoretical Background and Notation	153
Case Study	154
Assessing the Importance of Contact Joints Relative to Other Sources of Uncertainty in Dynamic Substructuring	156
Introduction	156
Background	157
Methodology	158
Conclusion	161
Acknowledgments	162
High-frequency Dynamic Characterization of Rubber Mounts through an Enhanced Virtual Point Transformation	164
Introduction	164
Dynamic mount characterization through the virtual point transformation	165
Enhanced Virtual Point Transformation to Account for Fixture Flexibility	167
Numerical Validation of the Enhanced VPT	168
Experimental Validation: High-Frequency Dynamic Mount Stiffness Identification	169
Conclusion	172

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