Dynamic Analysis of Suction Stabilized Floating Platforms
Abstract
:1. Introduction
- Attempt to showcase the similarities between the Floquet theory for time periodic systems and Poincare theory of Normal Forms technique.
- Formulate the mathematical expression for suction stabilization effect for a symmetrically shaped float/platform.
- Derive the equations of motion for the SSF platform by comparing its behavior to ship dynamics.
- Determine the stability bounds from the reduced order heave-roll SSF platform dynamical equations
- Verify and validate the dynamical characteristics of the reduced system by comparing the results with numerical techniques.
2. Mathematical Background
2.1. Floquet Theory
2.2. State Augmentation
2.3. Normal Forms
2.4. Direct Application of the Normal Forms Approach
3. Suction Stabilized Floating Platform
3.1. Dynamical Model for SSF
3.2. Analysis of SSF Model Dynamics
4. Materials
5. Simulation Results
5.1. SSF with Negligible Linear Damping ()
5.2. SSF with Significant Linear Damping ()
6. Discussion
7. Conclusions
8. Patents
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Abbreviations
SSF | Suction Stabilized Float |
TW | Tera Watt |
LF | Lyapunov-Floquet |
TLP | Tension Leg Platform |
STM | State Transition Matrix |
FTM | Floquet Transition Matrix |
CPU | Central Processing Unit |
GHz | GigaHertz |
GB | GigaByte |
RAM | Random Access Memory |
Appendix A
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C. Subramanian, S.; Dye, M.; Redkar, S. Dynamic Analysis of Suction Stabilized Floating Platforms. J. Mar. Sci. Eng. 2020, 8, 587. https://doi.org/10.3390/jmse8080587
C. Subramanian S, Dye M, Redkar S. Dynamic Analysis of Suction Stabilized Floating Platforms. Journal of Marine Science and Engineering. 2020; 8(8):587. https://doi.org/10.3390/jmse8080587
Chicago/Turabian StyleC. Subramanian, Susheelkumar, Michaela Dye, and Sangram Redkar. 2020. "Dynamic Analysis of Suction Stabilized Floating Platforms" Journal of Marine Science and Engineering 8, no. 8: 587. https://doi.org/10.3390/jmse8080587