Insight into Hydrodynamic Damping of a Segmented Barge Using Numerical Free-Decay Tests
Abstract
:1. Introduction
2. Numerical Methods
2.1. Modal Solver for the Structure
2.2. Rayleigh Damping
2.3. Damping Determination
2.4. Flow Solver
3. Modal-Based Coupling
Algorithm 1 Reduced order modal approach to weakly coupled FSI. |
1. Calculate dry vibration natural frequencies and their mass-normalised mode shapes 2. Setup simulation initial conditions (e.g., initial structure displacement and fluid boundary conditions) 3. Build RBF connections fluid face/structural node 4. Simulation loop, for each time-step : (a) Transfer fluid loads to structural nodes (b) Solve set of Equation (10) for all mode shapes (c) Obtain new shape of the structure via Equation (6) (d) Perform RBF mesh interpolation from the old to the new structure shape (e) Solve flow for time , influenced by the deformation of the structure (f) If residuals of fluid solver are too high, go to step 4.(a) |
4. Vertical Vibrations of a Flexible Barge
4.1. Barge Characteristics
4.2. Extraction of Mode Shapes
4.3. Hydroelastic Simulations
4.4. Discussion
5. Conclusions
References
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Mode | Natural Frequency | Average Damping Ratio |
---|---|---|
1 | 1.24 Hz | 7.3% |
2 | 2.40 Hz | 6.2% |
Mode | Timoshenko | FEM, Mass Above Deck | Relative Difference | FEM, Figure 2 | Relative Difference |
---|---|---|---|---|---|
1 | 1.367 Hz | 1.389 Hz | +1.6% | 1.295 Hz | −5.3% |
2 | 3.769 Hz | 3.823 Hz | +1.4% | 3.346 Hz | −11.2% |
3 | 7.389 Hz | 7.487 Hz | +1.3% | 5.900 Hz | −20.1% |
Mode | Experiment | CFD, Segmented | Relative Difference | CFD, Monohull | Relative Difference | FEM, Monohull | Relative Difference |
---|---|---|---|---|---|---|---|
1 | 1.24 Hz | 1.26 Hz | +1.6% | 1.12 Hz | −9.7% | 1.02 Hz | −17.7% |
2 | 2.40 Hz | 2.54 Hz | +5.8% | 2.33 Hz | −2.9% | 2.48 Hz | +3.3% |
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Bašić, J.; Degiuli, N.; Malenica, Š. Insight into Hydrodynamic Damping of a Segmented Barge Using Numerical Free-Decay Tests. J. Mar. Sci. Eng. 2023, 11, 581. https://doi.org/10.3390/jmse11030581
Bašić J, Degiuli N, Malenica Š. Insight into Hydrodynamic Damping of a Segmented Barge Using Numerical Free-Decay Tests. Journal of Marine Science and Engineering. 2023; 11(3):581. https://doi.org/10.3390/jmse11030581
Chicago/Turabian StyleBašić, Josip, Nastia Degiuli, and Šime Malenica. 2023. "Insight into Hydrodynamic Damping of a Segmented Barge Using Numerical Free-Decay Tests" Journal of Marine Science and Engineering 11, no. 3: 581. https://doi.org/10.3390/jmse11030581