Abstract
In order to assess the influence of ship-bank interaction on ship manoeuvring motion, planar motion mechanism (PMM) tests on a scale model of the KRISO very large crude carrier (KVLCC2) are conducted in different water depths in circulating water channel (CWC). The asymmetric hydrodynamic derivatives are defined to characterize the bank effect, and they are measured through the straight towing test with varying lateral displacements. The linear and nonlinear hydrodynamic derivatives are determined from the test data of the Fourier integral and mathematical regression model. The rudder and heading angles required at equilibrium conditions in different ship-bank distances are calculated by the manoeuvring model. The directional stability with varying ship-bank distances is studied in terms of eigenvalue analysis. Analysis based on the test results shows that the KVLCC2 model ship appears inherently unstable for keeping course in deep and shallow water conditions. When the ship-bank distance decreases, the increasing ship-bank interaction can dramatically affect some parameters of the criteria for course keeping.
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Abbreviations
- B :
-
Ship breath
- B R :
-
Biased limit
- B x :
-
Elemental error source of biased limit
- D 0, D 1, D 2, D 3, D 4, D 5 :
-
Coefficients of the ship manoeuvring characteristic equation
- F r :
-
Froude number
- h :
-
Water depth
- I z :
-
Moment of inertia of ship
- L PP :
-
Ship length between perpendiculars
- m :
-
Ship mass
- M :
-
Number of repeated measurements
- N :
-
Yaw moment around midship acting on ship hull
- P R̄ :
-
Random precision limit in measurement
- r :
-
Yaw rate
- S R :
-
Rudder area
- S R̄ :
-
Standard deviation of measured forces
- t :
-
Time
- T :
-
Ship draft
- T 0 :
-
Oscillation period of dynamic PMM test
- u :
-
Surge velocity of ship
- U :
-
Ship speed in the direction of ξ axis
- U RSS :
-
Root sum square of the uncertainty of measurements
- v :
-
Lateral velocity of ship
- W :
-
Width of the measuring section of circulating water channel
- x G :
-
Longitudinal coordinate of center of gravity of ship
- Y :
-
Lateral force acting on ship hull
- y bank :
-
Separation distance between ship and bank
- β :
-
Ship drift angle
- Δ :
-
Ship displacement
- δ :
-
Rudder angle
- η :
-
Off-centerline displacement of the ship
- θ x :
-
Sensitivity coefficients
- ρ :
-
Water density
- ψ :
-
Ship heading angle
- ω :
-
Circular frequency of dynamic PMM test
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Acknowledgement
The authors are grateful to Mr. DAI Yi and Dr. WANG Fei for their great help in the model tests.
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Foundation item: the National Key Basic Research Program of China (No. 2014CB046804), and the China Ministry of Education Key Research Project “Knowledge-based Ship Design Hyper-Integrated Platform-II Project” (No. GKZY010004)
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Liu, H., Ma, N. & Gu, X. Experimental Study on Ship-Bank Interaction of Very Large Crude Carrier in Shallow Water. J. Shanghai Jiaotong Univ. (Sci.) 23, 730–739 (2018). https://doi.org/10.1007/s12204-018-1999-5
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DOI: https://doi.org/10.1007/s12204-018-1999-5