Roll-induced bifurcation in ship maneuvering under model uncertainty
| Autor: | Vishwanath Nagarajan, Mohammed Kareem Khan, Praveen Perumpulissery Chandran, O.P. Sha, Anil Kumar Dash |
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| Rok vydání: | 2016 |
| Předmět: |
Hopf bifurcation
Mathematical optimization Engineering Polynomial chaos business.industry Mechanical Engineering Monte Carlo method Mathematical analysis 020101 civil engineering Ocean Engineering 02 engineering and technology Rudder Oceanography Bifurcation diagram 01 natural sciences 0201 civil engineering symbols.namesake Mechanics of Materials 0103 physical sciences symbols Curve fitting Probability distribution business 010301 acoustics Bifurcation |
| Zdroj: | Journal of Marine Science and Technology. 21:689-708 |
| ISSN: | 1437-8213 0948-4280 |
| DOI: | 10.1007/s00773-016-0382-1 |
| Popis: | In this paper, a mathematical model is developed for the maneuvering motion of a naval ship and bifurcations of its equilibrium are identified in roll-coupled motion. The subject ship is a high-speed surface combatant with twin-propeller twin-rudder system. Captive model tests are conducted for the ship using planar motion mechanism. Maneuvering coefficients are calculated by polynomial curve fitting of the test data. Uncertainty distribution in the coefficients is assumed same as that of the curve fitting errors. Uncertainty in the model coefficients is propagated to full-scale simulation results by the stochastic response surface method (SRSM). This method is computationally efficient as compared to standard Monte Carlo simulation technique. The SRSM uses polynomial chaos expansion of orthogonal to fit any probability distribution. Bifurcation analysis of the mathematical model is performed by varying the vertical center of gravity as the bifurcation parameter. Hopf bifurcation is identified. It is found that the bifurcations occur due to the coupling of roll motion with sway, yaw motion and rudder angle. In the presence of wind, roll angle response in bifurcation diagram is discussed. |
| Databáze: | OpenAIRE |
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