Special Topics in Structural Dynamics & Experimental Techniques, Volume 5

Preface 6
Contents 7
1 A Comparative Study of Joint Modeling Methods and Analysis of Fasteners 8
Nomenclature 8
1.1 Introduction 8
1.2 Modeling Methods for Fastener Joints 9
1.2.1 Tied Surfaces at Joint: Tied Contact Method 9
1.2.2 Spring Model of Fastener: Spring Method 9
1.2.3 Beam Model of Fastener: Beam Method 10
1.2.4 Solid Model of Fastener: Plug Method 11
1.2.5 Cylinder of Solid Elements: Ring Method 11
1.2.6 Including Preload and Fastener Properties: Ring-Beam Method 11
1.2.7 Frustrum Calculation 12
1.3 Example Problem 13
1.4 Results 14
1.4.1 Modal Comparisons 14
1.4.2 Random Vibration Comparisons 15
1.5 Conclusion 16
References 20
2 Historical Perspective of the Development of Digital Twins 21
2.1 Background 21
2.2 Pre-delivery Usage 22
2.2.1 Design Usage 22
2.2.2 Manufacturing Usage 22
2.3 Asset Management Usage 22
2.3.1 Life-Cycle Determination 23
2.3.2 VVUQ 23
2.4 Digital Twin Hierarchy 23
2.5 Conclusions 24
References 25
3 Distributed Home Labs at the Time of the Covid 27
3.1 Introduction 27
3.2 Experimental Laboratories as a Tool for Practitioner Engineering 28
3.3 The New Revolution Offered by Microelectronics 29
3.4 The Smartphone: A Complete Measurement Lab 29
3.5 Some Preliminary Attempts with Small Groups on Research Projects 31
3.6 Some of the Most Interesting Projects 31
3.7 Final Remarks and Conclusions 33
References 34
4 Closed-Form Solutions for the Equations of Motion of the Heavy Symmetrical Top with One Point Fixed 35
4.1 Background 35
4.2 Derivation of the EOM 36
4.3 The Cubic Polynomial f(u) 37
4.4 General Closed-Form Solution of the EOM 38
4.5 Closed-Form Solution for h == 1 40
4.6 Closed-Form Solution for h == 2 41
4.7 Conclusion 43
References 44
5 Equations of Motion for the Vertical Rigid-Body Rotor: Linear and Nonlinear Cases 45
5.1 Definition of the Equations of Motion 45
5.2 Kinetic Energy of a Rigid-Body Rotor 46
5.3 Nonlinear Generalized Forces 48
5.4 Linear Form of the EOM 48
5.5 Results from the Linear Example 49
5.6 Procedure for Solving of the Nonlinear EOM 50
5.7 Results for the Nonlinear Example 53
5.8 Example That Exhibits Chaotic Behavior 55
5.9 Duffing Equation 56
5.10 Conclusions 58
A.1 Appendix A 59
References 60
6 Vibration Control in Meta-Structures Using Reinforcement Learning 61
6.1 Introduction 61
6.2 Q-Learning Algorithm Framework 62
6.3 Conclusion 63
References 64
7 Using Steady-State Ultrasonic Direct-Part Measurements for Defect Detection in Additively Manufactured Metal Parts 65
7.1 Introduction 65
7.1.1 Defects in Additively Manufactured Parts 66
7.1.2 Quality Control and Non-destructive Evaluation 67
7.1.3 Acoustic Wavenumber Spectroscopy 67
7.2 Background 68
7.2.1 Materials 68
7.2.2 In Situ Data Acquisition Process 69
7.3 Analysis 70
7.3.1 Post-build Data Processing 70
7.3.2 Defect-Indicative Features 71
7.3.3 X-Ray Computed Tomography Labeling 73
7.3.4 Results 74
7.3.5 Future Work 75
7.4 Conclusion 76
A.1 Appendix A: Montage of Figures 76
References 78
8 Toward Developing Arrays of Active Artificial Hair Cells 80
8.1 Introduction 80
8.2 Array of Self-Sensing Artificial Hair Cells 81
8.3 AHC Array Simulation Results 82
8.4 AHC Array Simulation Results 82
8.5 Conclusion 84
References 85
9 Challenges Associated with In Situ Calibration of Load Cells in Force-Limited Vibration Testing 86
9.1 Introduction 86
9.2 Test Setup 88
9.3 Apparent Mass Calculation 88
9.4 Load Cell Summing Implications on In Situ Calibration 90
9.5 Conclusion 92
References 93

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