A Numerical Study on Computational Time Reversal for Structural Health Monitoring
Abstract
:1. Introduction
2. Time Reversal Approaches for Structures
2.1. Elastodynamic Reciprocity for Classical Beam Theory
2.2. Time Reversal Refocusing as Outcome of Reciprocity
2.2.1. Switching Time Reversal
2.2.2. Time Reversed Switched Boundary Conditions
3. Computational Time Reversal for Structures
3.1. Standard Forward Step
3.2. The Time Reversal or Backward Step
3.3. Signal-to-Noise Ratio
3.4. Illustrative Comparison
4. Applications with Numerical Examples
4.1. Energy Refocusing
4.2. Source Localization
4.2.1. One-Dimensional Beam
4.2.2. Two-Dimensional Frame Structure
4.3. Optimal Placement of Sensors
4.3.1. One-Dimensional Beam
4.3.2. Two-Dimensional Frame Structure
4.4. Damage Identification
4.4.1. One-Dimensional Beam
4.4.2. Two-Dimensional Frame Structure
4.5. Imaging in Frequency Domain
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Acknowledgments
Conflicts of Interest
Abbreviations
SHM | Structural Health Monitoring |
TR | Tine Reversal |
DOF | Degree of Freedom |
SNR | Signal to Noise Ratio |
FEM | Finite Element Method |
BEM | Boundary Element Method |
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Panagiotopoulos, C.G.; Stavroulakis, G.E. A Numerical Study on Computational Time Reversal for Structural Health Monitoring. Signals 2021, 2, 225-244. https://doi.org/10.3390/signals2020017
Panagiotopoulos CG, Stavroulakis GE. A Numerical Study on Computational Time Reversal for Structural Health Monitoring. Signals. 2021; 2(2):225-244. https://doi.org/10.3390/signals2020017
Chicago/Turabian StylePanagiotopoulos, Christos G., and Georgios E. Stavroulakis. 2021. "A Numerical Study on Computational Time Reversal for Structural Health Monitoring" Signals 2, no. 2: 225-244. https://doi.org/10.3390/signals2020017