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Page 1 of 6 Table of Contents 1. PURPOSE...2 2. PARAMETERS...2 2.1 General Considerations...2 3 DESCRIPTION OF PROCEDURE...2 3.1 Model Design and Construction...2 3.2 Measurements...3 3.5 Execution of Test...5 3.6 Report...5 4 VALIDATION...5 4.1 Uncertainty Analysis...5 4.2 Benchmark tests...6 3.3 Wave Generation...4 3.4 Preparation...4 Prepared by Approved Specialist Committee of 24 th ITTC: Stability in Waves 24 th ITTC Date Date

Page 2 of 6 1. PURPOSE This procedure is for carrying out experiments on an intact ship model in waves to determine its behaviour in extreme conditions and to establish thresholds for extreme motions including capsizing 2. PARAMETERS 2.1 General Considerations The size of the model basin should be appropriate to the size of model and type of tests to be conducted to ensure sufficient run length for identifying dangerous phenomena and avoid blockage, reflection and unwanted bottom effects. For example, it is desirable for realising broaching-related phenomena that the basin length should be about 25 times as large as ship model length or over and the basin width should be larger than the tactical diameter of the model. To accurately reproduce deep water waves, the basin depth should be larger than the half of used wave length. 3. DESCRIPTION OF PROCEDURE 3.1 Model Design and Construction In all cases where there is possibility for capsizing of the vessel or for water on deck or superstructures, the model should be complete up to the upper weather deck including forecastle and bulwarks and be sufficiently rigid with a smooth finish. The whole model should be watertight or at least up to the down-flooding points. If certain tiers of superstructures of the subject ship are watertight with satisfaction of the International Load Line Convention, the superstructure can be modelled only up to the specified tiers. The model should be built to scale and should be large enough to contain the necessary instrumentation for propulsion system, steering system, measurement systems, telemetry, and ballast adjustment. For parametric roll and beam sea tests the model should be of such a scale that viscous roll damping effects are properly modelled and bilge keel effects are accurately accounted for. A minimum length of 2 metres is recommended, scaled according to Froude s law. For small vessels, typically less than 50 m in length, reduced model lengths can be allowed if the above requirements are satisfied. Appendages related to ship motion should be fitted and the report should state which appendages were fitted during the tests. The use of autopilot is in general recommended for free-running model experiments in order to facilitate mutual comparisons among different ships or operational conditions. The characteristics of the autopilot and the steering system (including rate of turn of the rudder(s)) are to be clearly stated in the report.

Page 3 of 6 It is necessary for the free running model to have a main propulsion system, including speed and direction control and a power supply system. Propulsor characteristics and its control law, such as constant revolution or torque, should be stated in the report. Power may be supplied from rechargeable batteries which reside in the model. Alternatively, power may be supplied to the model from a moving carriage via a non-intrusive umbilical cable. The propulsion system should have the capability to cover the full speed range of the ship. The model should be ballasted to the displacement and the longitudinal position of the centre of gravity corresponding to the subject ship. This should be confirmed by draught reading by using draught gauges or draught marks on the outer skin. Weights should be adjusted to achieve the vertical position of the centre of gravity (KG) and radius of gyration in the transverse and longitudinal directions corresponding to these data on the full scale ship. The method of doing this and the values of dry radii of gyration in roll, pitch and yaw should be included in the report. In the absence of more accurate knowledge a value of 0.40B for the roll radius of gyration and 0.25L for both the pitch and yaw radii of gyration are recommended. Inclining test and free roll test should be carried out to confirm that the metacentric height (GM) and the natural roll period of the model are equal to those of the subject ship within 2% error. The model should preferably be unrestrained. When constraints are unavoidable for particular tests, influence of the restraining system on ship behaviour such as roll decay should be examined and reported in detail. 3.2 Measurements For the calibration of the wave generation the wave elevation with modal periods should be measured by wave probes at more than three locations along the length of the basin without a model, spanning the operational range of the model. Variations in wave height and period should be within 5% among the different measured positions but with the same signal. If the wave height variation exceeds this limit, the possibility of a standing wave due to insufficient wave absorption could exist. In case of short-crested irregular waves, more than two wave probes or equivalent should be used for determining a directional wave spectrum. If wave breaking is significant, the above wave calibration may be performed with a wave height reduced from the one used for the model tests keeping the shape of the wave spectrum; the wave height used for model testing should be measured at a short distance from the wave maker. In order to determine the causality for capsizing, the following main items should be recorded, as applicable, at sufficient sampling frequency (Hz), which is at least 20 divided by the model natural roll period: model position relative to basin propeller rate of revolutions model motions in 6 degrees of freedom (surge, sway, heave, roll, pitch and yaw) rudder angle wave elevation.

Page 4 of 6 The use of non-contact measurement systems, such as gyroscope or optical tracking sensor, is essential for measuring ship motions. It is recommended to determine the model position relative to incident wave system, including the wave elevation amidships. In order to ensure accurate operation of instrumentation, calibrations should be carried out and reported. Calibration diagrams, where the measured quantities (output values) are plotted versus the calibration units (input units), may be useful to check the calibration itself as well as the linearity and repeatability of the instruments. Calibration should generally be in accordance with ITTC Recommended Procedure 7.6--. The calibration of wave height meters should be carried out by changing their vertical position from calm water level, which should be measured with a calibrated ruler. The calibration of gyroscopes and acceleration meters should be carried out by changing their inclination, which should be measured by a calibrated ruler. The calibration of propeller revolution sensor, rudder angle sensor and optical tracking sensor should be carried out following the advice of the manufacturer. 3.3 Wave Generation The model test may be carried out in regular, irregular, transient waves or especially designed wave packets. Tests in regular waves should provide adequate data for a range of wavelengths, steepness and headings appropriate to the capsize modes being investigated. For efficiently identifying capsizing boundaries in following and quartering waves, higher wave steepness should be used first. Here wave length to ship length ratios from 1.0. to 1.5 are usually considered critical. The actual test conditions should be decided based on the expected environmental conditions and the worst conditions for the relevant dangerous phenomena. To determine wave length from measured wave period, it is essential to use non-linear dispersion relation of water waves. For tests in irregular waves, due attention should be paid to modelling correctly wave group characteristics, which is in principle governed by the shape of the wave spectrum. Deriving from ocean wave measurements, a maximum characteristic wave steepness of H 1/3 /(gt p 2 /(2π)) = 0.05 is recommended as a guide. In the absence of information on specific spectrum data, JONSWAP spectrum and ITTC (1978) spectrum should be used for fetch limited waves and ocean waves, respectively. The wave signal used should not be repeated during a single test. It is important to guarantee uniformity of waves in space and time during the measurement by taking propagation of energy into account. For the signal of short-crested irregular waves, each element wave should have unique wave frequency and direction. Transient waves and wave packets may be generated at predetermined locations in the tank to investigate specific capsize modes (e.g., capsizing due to breaking waves). In case of transient waves or wave packets, their statistical properties should be clearly stated. 3.4 Preparation A roll decay test should be carried out to obtain the natural roll period and the damping characteristics of the model in the test

Page 5 of 6 condition at zero and forward speeds, if appropriate. The model should be released from an initial angle with zero roll angular velocity. An effort should be made to incline the model by a moment with minimum net vertical and horizontal forces. In case of the test at zero forward speed, the mean of the initial roll angle and the next peak angle should be large enough. In case of the test with forward speed, any steering effort including an autopilot should not be used. Full details of the experiment, including time histories, should be included in the report. In case of model with propulsor, the speed should be calibrated for smooth water as a function of propeller revolution. 3.5 Execution of Test Prior to the start of the tests a datum for all instrumentation used should be established. This should be rechecked after completion of the tests. Particular attention has to be paid to start up transients and the details of the start up condition should be reported. It should be noted that in the case of following and quartering seas, the model should be situated near the wave maker first. After the wave train propagates enough in the model basin, the model propeller revolutions should be increased to the specified value to achieve the required speed and the steering system activated. The model should be tested in fully developed wave realisation. In case the model is accelerated by external means, such as a carriage, and then is released, it is necessary to repeat runs starting the model with different initial conditions. 3.6 Report The test results should be presented as critical conditions of capsizing in regular waves or capsizing probability in irregular waves. They should be a function of the main ship characteristics, operational and environmental parameters. 4. VALIDATION 4.1 Uncertainty Analysis Standard uncertainty analysis can be applied to all measured basic quantities and motions. Capsizing could be a different situation due to the extreme phenomenon involved. When considering extreme behaviour in regular waves the test should be repeated once using the same initial conditions as far as practicable. However, it should be noted that capsizing boundary could be indeterminate because of chaotic behaviour due to nonlinearity of restoring moment. Here totally different outcomes could be observed with practically the same initial condition. This indicates that negligibly small error could result in opposite conclusion on safety against capsizing. Thus, it is desirable to carry out numerical simulation also for the systematically varied conditions and compare both experiment and simulation. Considering extreme behaviour in irregular waves the number of model runs and their duration should be noted. The level of confidence of estimated capsizing probability should be calculated by using the formula of binomial probability distribution. Because of

Page 6 of 6 possible non-ergodicity, several realisations of shorter durations are more desirable than one realisation of long duration. 4.2 Benchmark tests 1) Capsizing Experiments associated with parametric rolling, (23rd 2002, pp. 613-616, Table 2.4) A container ship model running in following and quartering waves 2) Capsizing Experiments associated with broaching (23rd 2002, pp. 613-616, Table 2.5) A fishing vessel model running in following and quartering waves