DI-014_REV_2_SEAKEEPING_PREFORMANCE_REPORT.pdf

DI-014 Seakeeping Performance Report Contract 6913G623P800007

Preliminary/Contract Design of Motor Vessel Ranger IV

Submitted by:

Loch Harbour Group 3060 Williams Drive, Suite 510

Fairfax, Virginia 22031

Contract No.: 6913G623P800007

CLIN-0010

DI-014 SEAKEEPING PERFORMANCE

REPORT

Revision (2)

Submittal Date: 06-21-2024

DISTRIBUTION Statement C: Distribution authorized to the U.S. Government agencies and their Contractors. Other request for this document shall be referred to US Department of Transportation Volpe Center.

The Government is granted unlimited rights unless distributed to recipient directly by the U.S. Government. This drawing, design, concept, and specification are the intellectual property of TAI Engineers LLC. and contain information which is proprietary to TAI Engineers LLC. This information is furnished with the express understanding that the recipient recognizes the proprietary nature of this information and will not copy or alter it in any manner, nor transfer it, use it for manufacture, sell it, or use it in any way to detriment of TAI Engineers LLC. without the express written consent of this firm. The recipient further agrees not to disclose the information herein to any other party except for the purpose contracted for with TAI Engineers LLC.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 2

TABLE OF CONTENTS

LIST OF TABLES

LIST OF FIGURES

ACRONYMS AND ABBREVIATIONS

REVISION TABLE

SUBMISSION SUMMARY

A. INTRODUCTION

B. BACKGROUND

C. METHODOLOGY

D. RESULTS

E. DEPARTURE OPERATING CONDITION (VCG= 15.381)

E.1 Sea State 3:

E.2 Sea State 4:

E.3 Sea State 5:

E.4 Sea State 6:

E.5 Sea State 7:

F. ARRIVAL OPERATING CONDITION (VCG= 16.931)

F.1 Sea State 3:

F.2 Sea State 4:

F.3 Sea State 5:

F.4 Sea State 6:

F.5 Sea State 7:

G. MOTION SICKNESS INDEX

G.1 Sea State 7 Departure Operating Condition Polar Plot:

G.2 Sea State 7 Arrival Operating Condition Polar Plot:

H. CONCLUSION

I. REFERENCES

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 3

LIST OF TABLES

Table 1: Examined Sea State Time Percentage Table 2: Sea State Occurrences for Lake Superior Table 3: Operability Limiting Criteria for the RANGER IV Table 4: Principal dimensions of the RANGER IV Table 5: Examined loading conditions Table 6: Radius of Gyration values Table 7: Vessel Roll RMS motion values in SS3 (Departure) Table 8: Vessel Pitch RMS motion values in SS3 (Departure) Table 9: Pilot House MSI for 120 min. values in SS3 [%] (Departure) Table 10: Pilot House: Abs. vert. accel RMS motion values in SS3 [RMS g] (Departure) Table 11: Pilot House: Lat. (due to roll) accel RMS motion values in SS3 [RMS g] (Departure) Table 12: Vessel Roll RMS motion values in SS4 (Departure) Table 13: Vessel Pitch RMS motion values in SS4 (Departure) Table 14: Pilot House MSI for 120 min. values in SS4 [%] (Departure) Table 15: Pilot House: Abs. vert. accel RMS motion values in SS4 [RMS g] (Departure) Table 16: Pilot House: Lat. (due to roll) accel RMS motion values in SS4 [RMS g] (Departure) Table 17: Vessel Roll RMS motion values in SS5 (Departure) Table 18: Vessel Pitch RMS motion values in SS5 (Departure) Table 19: Pilot House MSI for 120 min. values in SS5 [%] (Departure) Table 20: Pilot House: Abs. vert. accel RMS motion values in SS5 [RMS g] (Departure) Table 21: Pilot House: Lat. (due to roll) accel RMS motion values in SS5 [RMS g] (Departure) Table 22: Vessel Roll RMS motion values in SS6 (Departure) Table 23: Vessel Pitch RMS motion values in SS6 (Departure) Table 24: Pilot House MSI for 120 min. values in SS6 [%] (Departure) Table 25: Pilot House: Abs. vert. accel RMS motion values in SS6 [RMS g] (Departure) Table 26: Pilot House: Lat. (due to roll) accel RMS motion values in SS6 [RMS g] (Departure) Table 27: Vessel Roll RMS motion values in SS7 (Departure) Table 28: Vessel Pitch RMS motion values in SS7 (Departure) Table 29: Pilot House MSI for 120 min. values in SS7 [%] (Departure) Table 30: Pilot House: Abs. vert. accel RMS motion values in SS7 [RMS g] (Departure) Table 31: Pilot House: Lat. (due to roll) accel RMS motion values in SS7 [RMS g] (Departure) Table 32 : Table 7: Vessel Roll RMS motion values in SS3 (Arrival) Table 33: Vessel Pitch RMS motion values in SS3 (Arrival) Table 34: Pilot House MSI for 120 min. values in SS3 [%] (Arrival) Table 35: Pilot House: Abs. vert. accel RMS motion values in SS3 [RMS g] (Arrival) Table 36: Pilot House: Lat. (due to roll) accel RMS motion values in SS3 [RMS g] (Arrival) Table 37: Vessel Roll RMS motion values in SS4 (Arrival) Table 38: Vessel Pitch RMS motion values in SS4 (Arrival) Table 39: Pilot House MSI for 120 min. values in SS4 [%] (Arrival) Table 40: Pilot House: Abs. vert. accel RMS motion values in SS4 [RMS g] (Arrival) Table 41: Pilot House: Lat. (due to roll) accel RMS motion values in SS4 [RMS g] (Arrival) Table 42: Vessel Roll RMS motion values in SS5 (Arrival) Table 43: Vessel Pitch RMS motion values in SS5 (Arrival) Table 44: Pilot House MSI for 120 min. values in SS5 [%] (Arrival) Table 45: Pilot House: Abs. vert. accel RMS motion values in SS5 [RMS g] (Arrival) Table 46: Pilot House: Lat. (due to roll) accel RMS motion values in SS5 [RMS g] (Arrival) Table 47: Vessel Roll RMS motion values in SS6 (Arrival) Table 48: Vessel Pitch RMS motion values in SS6 (Arrival) Table 49: Pilot House MSI for 120 min. values in SS6 [%] (Arrival) Table 50: Pilot House: Abs. vert. accel RMS motion values in SS6 [RMS g] (Arrival) Table 51: Pilot House: Lat. (due to roll) accel RMS motion values in SS6 [RMS g] (Arrival)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 4

Table 52: Vessel Roll RMS motion values in SS7 (Arrival) Table 53: Vessel Pitch RMS motion values in SS7 (Arrival) Table 54: Pilot House MSI for 120 min. values in SS7 [%] (Arrival) Table 55: Pilot House: Abs. vert. accel RMS motion values in SS7 [RMS g] (Arrival) Table 56: Pilot House: Lat. (due to roll) accel RMS motion values in SS7 [RMS g] (Arrival) Table 57: Summary of maximum RMS motion values in SS3 Table 58: Summary of maximum RMS motion values in SS4 Table 59: Summary of maximum RMS motion values in SS5 Table 60: Summary of maximum RMS motion values in SS6 Table 61: Summary of maximum RMS motion values in SS7

LIST OF FIGURES

Figure 1: The mapped section view of Ranger IV Figure 2 : Defined locations in Maxsurf

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ACRONYMS AND ABBREVIATIONS

ACRONYM DESCRIPTION

TAI TAI Engineers, LLC

LHG Loch Harbour Group

DRL Data Requirements List

SOW Statement of Work

DI Data Item

SS Sea State

RMS Root Mean Square

OPI Operability Index g Acceleration Due to Gravity

SLA Service Life Allowance

ITTC International Towing Tank Conference

MSI Motion Sickness Incidence

USCG United States Coast Guard

VCG Vertical Center of Gravity

GM Metacentric Height

GMT Transverse Metacentric Height

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 6

REVISION TABLE

REVISION DESCRIPTION DATE AUTHOR

0 Initial submission 09-07-2023 TAI 1 Updated due to design changes 01-18-2024 TAI 2 Updated due to CDWE Rev. 2 06-21-2024 TAI

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 7

SUBMISSION SUMMARY

This report contains an overview of seakeeping analysis, including roll motions, pitch motions, vertical and lateral acceleration, and motion sickness index (MSI). Lake Superior Sea conditions were analyzed and defined as per historical data over the last 5 years. Seakeeping analysis has been carried out using Maxsurf software based on strip theory. Two critical loading conditions are taken into consideration at defined speed and heading angles. The effect of different heading angles and sea conditions on the seakeeping performance of the RANGER IV were analyzed.

The results demonstrate the RANGER IV’s seakeeping performance meets the demand of residential comfort. In addition, the dangerous navigation heading angles are also listed, to improve vessel and operator safety.

A. INTRODUCTION

This document has been submitted by Loch Harbour Group, 3060 Williams Drive, Suite 510 Fairfax, Virginia 22031 to satisfy DI-014 “Seakeeping Performance Report” Contract No.

6913G623P800007. The purpose of this report is to document and discuss the methodology and results obtained from the Seakeeping analysis of the RANGER IV. The contents of this report consist of the following:

Background/overview of vessel’s seakeeping characteristics and sea conditions.

Discussion of the methodology used for the analysis.

Analysis of the vessel’s operability limiting criteria.

Summary of the vessel’s seakeeping performance.

The LHG team recognizes all requirements presented by the government in the Data Item Description under Contract No. 6913G623P800007 - Statement of Work and Basis of Design.

B. BACKGROUND

Seakeeping characteristics of the RANGER IV were analyzed at Sea States 3, 4, 5, 6 and 7. Wave heights and modal periods for each sea state are in accordance with ITTC (2 Param. Pierson Moskowitz\ Bretschneider) and Lake Superior historical wave data. Due to the unique wave profiles of Lake Superior, TAI developed the sea states spectrum based on historical data from NOAA buoys 45006,45001, and 45180 located in Lake Superior along the transit routes.

Table 1 below summarizes the bouy data recording the sea states based on average wind speed, wave height and percentage of time that sea state is most likely to occur over the last 5 years. In

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 8 order to review a realistic operational profile and worst-case scenario, sea states 3, 4, 5, 6 and 7 were chosen to be analyzed.

Table 1: Examined Sea State Time Percentage

Beaufort

Sea State

Wind

Speed (kts)

Wave

Height

(FT)

% Time

May-Oct

% Time

May-Oct

% Time

May-Oct

% Time

May-Oct

% Time

May-Oct

0&1 0-3 <.5 15 10 3 13 14

2 4-6 .5-1 20 17 9 21 23

3 7-10 1-3 46 50 51 45 50

4 11-16 3-5 14 16 25 13 10

5 17-21 5-8 5 6 10 7 3

6 22-27 8-12 1 0 2 1 0

7 28-33 12-19 0 0 0 0 0

8 34-40 19-25 0 0 0 0 0

9 41-47 25-35 0 0 0 0 0

Considering the navigation area of the vessel, the typical sea conditions in Lake Superior were acquired from Table 1 to calculate the motion response of the vessel at the defined speeds. The ITTC two-parameter wave spectrum is selected for calculation, and sea state parameters are shown in Table 2.

Table 2: Sea State Occurrences for Lake Superior

Sea State (SS) Wave Height Modal Period

[-] [ft] [s]

3 1 1.367

4 3 2.388

5 5 3.082

6 8 3.899

7 12 4.770

To assess the effect of seakeeping performance on the mission capability of the vessel, the mission requirements need to be translated into seakeeping performance requirements. However, there is no distinct universal set of criteria for seakeeping performance. The criteria can vary vastly from ship to ship depending on the missions of the ship. The RANGER IV’s operability limits are defined in Table 3. These limits were determined by considering USCG operability limiting criteria as well as expected operational environment and mission of the vessel.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 9

Table 3: Operability Limiting Criteria for the RANGER IV

SHIP TRANSIT MOTION CRITERIA (all limit values RMS) Response Location Limit Roll - 8.0 deg Pitch - 3.0 deg Vertical Acceleration Pilot House 0.2g Lateral Acceleration Pilot House 0.2g Motion Sickness Incidence (Best 60°) Pilot House <15% for 2 Hours

The seakeeping criteria included limits to roll motion, pitch motion, vertical and lateral acceleration. The purpose of imposing restrictive criteria on the behavior of ships when operating at sea is to avoid the occurrence of sea sickness on crew and/or passengers as well as maintain the securement of equipment and cargo. Motion sickness incidence index (MSI) is the percentage of subjects who experience sea sickness in the specified time that subjects are exposed to the motions.

It was assumed that the MSI criterion will be evaluated for the best 60-degree range of vessel heading, the most critical location, the pilot house, and for 2 hours of exposure.

C. METHODOLOGY

Using Maxsurf Motions software, a virtual model of the RANGER IV was developed and analyzed to predict seakeeping behavior considering the wave spectrum.

Maxsurf motions software provides two analysis methods which are strip theory method and panel method to perform motion analysis. The Strip theory method provides fast calculation of heave, pitch, and roll response for hull shapes with L/B (length-beam ratio) greater than 4. The panel method can be used for any vessel shape and provides a full six degrees of freedom response calculations. The linear strip theory method is based on the work of Salvesen et al, and it is used to calculate the coupled heave and pitch response of the vessel. The roll response is calculated using linear roll damping theory.

The panel method is a first-order diffraction/radiation hydrodynamic analysis in which a constant panel-based boundary element method (BEM) is used. The panel method generates its analysis elements based on the MAXSURF NURBS surface model. The panel method generates Response Amplitude Operators (RAOs) for all six degrees of freedom: surge, sway, heave, roll, pitch and yaw. The panel method is valid for a very large range of geometry but is restricted to zero forward speed. Since motions should be examined at different operating speeds, usage of panel method is not convenient for RANGER IV seakeeping analysis. To decide implementation of strip theory method L/B ratio is calculated as per parameters of the RANGER IV are listed in Table 4. The L / B is 5.06, which meets the calculation conditions of strip theory.

Preliminary/Contract Design of Motor Vessel Ranger IV

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 10

Table 4: Principal dimensions of the RANGER IV

Parameters Value Units Length Overall (LOA) 182’ 5 3/8” ft Length of Waterline (LWL) 175’ ft Beam Overall 36’-0” ft Depth 18’-0” ft Speed (@ 90% MCR) 14 knot Loadline Displacement 827.5 LT Loadline Draft 9’-0” ft

The Ranger IV has different loading conditions described in Basis of Design and DI-019 Intact and Damage Stability Report. In accordance with the DRL requirements, the analysis was performed to examine the seakeeping behavior of the vessel when operating under loading conditions that have the highest and lowest VCG, corresponding to the lowest and highest GMT respectively. Two extreme metacentric heights are considered as metacentric height is critical with respect to the pitch and roll motions. Highest VCG was found to be 16.931 ft for arrival operating loading condition denoted as condition KCC-(LLC) which is described as “Light Load Condition @ Keweenaw Canal Cruises.” The lowest VCG was found to be 15.381 ft for departure operating loading condition denoted as LST-(FLC) which is described as “Full Load Condition at Late Season Transport without Ice Load.”. Examined loading conditions are given in Table 5. For a comprehensive breakdown of loading conditions and hydrostatic characteristics refer to DI-019.

Table 5: Examined loading conditions

Departure Operating Condition - Late Season Transport without Ice Load Displacement with SLA 747.4 LT Draft at FP 8.409 ft Draft at AP 8.427 ft Draft Amidship 8.418 ft Vertical Centre of Gravity (VCG) 15.381 ft Transverse metacenter (KMT) 20.256 ft Transverse Metacentric Height (GMT) 4.88 ft

Arrival Operating Condition - Light Load Condition @ Keweenaw Canal Cruises Displacement SLA 687.3 LT Draft at FP 8.301 ft Draft at AP 7.724 ft Draft Amidship 8.012 ft Vertical Centre of Gravity (VCG) 16.931 ft Transverse metacenter (KMT) 19.966 ft Transverse Metacentric Height (GMT) 3.04 ft

The Maxsurf input parameters for mass distribution are given in Table 6 for both load cases. When the established ship model is imported into Maxsurf software, strip amounts can be set and then

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 11 hull be measured. The number of strips is in the range of 1/3 to 2/3 of the ship length value. After the model is built and all parameters are set, the resulting striped ship is shown as an example in Figure 1 for departure operating condition. A similar image will be for arrival operating condition at load draft.

Table 6: Radius of Gyration values

Radius of Gyration for Roll (40% BOA) 14.409 ft Radius of Gyration for Pitch (25% LOA) 45.613 ft Radius of Gyration for Pitch Yaw (25% LOA) 45.613 ft

Figure 1: The mapped section view of Ranger IV

The basic idea of the strip theory is dividing the hull into several slices along the longitudinal direction as shown in Figure 1. Under given loading conditions and speed conditions, for any combination of wave frequency and wave direction, the hydrodynamic coefficients such as additional mass, additional damping, Froude-Krylov wave force and diffraction wave force was calculated on each slice by applying a unit amplitude regular wave to the hull. Finally, the force of each slice is integrated longitudinally to obtain the force of the entire hull.

Seakeeping analysis was performed using strip theory method to evaluate the motion and response of the RANGER IV in range of sea states at defined headings (0-360 degree) and speeds (0-14 knots). Locations were defined as shown in figure 2, accelerations and MSI results were considered for Pilot house location.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 12

Figure 2 : Defined locations in Maxsurf

D. RESULTS

Results obtained from analysis are described in below tables as per loading conditions and sea states.

E. Departure Operating Condition (VCG= 15.381)

E.1 Sea State 3:

Table 7: Vessel Roll RMS motion values in SS3 (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.120 0.210 0.240 0.210 0.120 0.000 2 0.000 5.390 6.960 0.240 0.120 0.047 0.000 4 0.000 5.400 9.950 0.240 0.071 0.021 0.000 6 0.000 2.250 10.390 0.240 0.045 0.010 0.000 8 0.000 0.620 7.550 0.240 0.029 0.004 0.000 10 0.000 0.150 4.390 0.240 0.018 0.002 0.000 12 0.000 0.060 2.260 0.240 0.011 0.001 0.000 14 0.000 0.031 1.010 0.240 0.007 0.000 0.000

OPI=100%

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 13

Table 8: Vessel Pitch RMS motion values in SS3 (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.003 0.002 0.001 0.000 0.001 0.002 0.003 2 0.020 0.010 0.001 0.000 0.000 0.000 0.000 4 0.043 0.059 0.008 0.000 0.000 0.000 0.000 6 0.021 0.004 0.017 0.000 0.000 0.000 0.000 8 0.030 0.019 0.024 0.000 0.000 0.000 0.000 10 0.006 0.013 0.003 0.000 0.000 0.000 0.000 12 0.002 0.004 0.010 0.000 0.000 0.000 0.000 14 0.001 0.001 0.011 0.000 0.000 0.000 0.000

Table 9: Pilot House MSI for 120 min. values in SS3 [%] (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 4 0.000 0.033 0.000 0.000 0.000 0.000 0.000 6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 8 0.000 0.000 0.000 0.000 0.000 0.000 0.000 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 12 0.000 0.000 0.000 0.000 0.000 0.000 0.000 14 0.000 0.000 0.000 0.000 0.000 0.000 0.000

OPI=100%

Table 10: Pilot House: Abs. vert. accel RMS motion values in SS3 [RMS g] (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.002 0.002 0.000 0.002 0.000 0.002 0.002 2 0.001 0.001 0.000 0.002 0.000 0.000 0.000 4 0.003 0.010 0.000 0.002 0.000 0.000 0.000 6 0.003 0.001 0.002 0.002 0.000 0.000 0.000 8 0.003 0.002 0.003 0.002 0.000 0.000 0.000 10 0.001 0.001 0.000 0.002 0.000 0.000 0.000 12 0.001 0.001 0.001 0.002 0.000 0.000 0.000 14 0.001 0.001 0.001 0.002 0.000 0.000 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 14

Table 11: Pilot House: Lat. (due to roll) accel RMS motion values in SS3 [RMS g] (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.047 0.081 0.093 0.081 0.047 0.000 2 0.000 0.081 0.163 0.093 0.054 0.024 0.000 4 0.000 0.058 0.134 0.093 0.037 0.012 0.000 6 0.000 0.046 0.110 0.093 0.025 0.006 0.000 8 0.000 0.035 0.092 0.093 0.017 0.003 0.000 10 0.000 0.026 0.082 0.093 0.011 0.001 0.000 12 0.000 0.019 0.071 0.093 0.007 0.001 0.000 14 0.000 0.014 0.060 0.093 0.005 0.000 0.000

E.2 Sea State 4:

Table 12: Vessel Roll RMS motion values in SS4 (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.390 0.680 0.790 0.680 0.390 0.000 2 0.000 5.480 6.940 0.790 0.490 0.230 0.000 4 0.000 7.900 10.290 0.790 0.380 0.160 0.000 6 0.000 7.450 12.840 0.790 0.300 0.110 0.000 8 0.000 5.180 14.170 0.790 0.240 0.082 0.000 10 0.000 3.530 13.310 0.790 0.200 0.062 0.000 12 0.000 2.250 10.980 0.790 0.170 0.048 0.000 14 0.000 1.310 8.830 0.790 0.140 0.038 0.000

OPI=100%

Table 13: Vessel Pitch RMS motion values in SS4 (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.027 0.023 0.011 0.006 0.011 0.023 0.027 2 0.043 0.029 0.009 0.006 0.009 0.015 0.017 4 0.077 0.082 0.017 0.006 0.007 0.011 0.012 6 0.054 0.034 0.029 0.006 0.006 0.009 0.010 8 0.200 0.069 0.038 0.005 0.005 0.008 0.009 10 0.250 0.180 0.020 0.006 0.005 0.007 0.008 12 0.430 0.250 0.029 0.006 0.004 0.006 0.007 14 0.330 0.250 0.051 0.006 0.004 0.006 0.006

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 15

Table 14: Pilot House MSI for 120 min. values in SS4 [%] (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 4 0.002 0.000 0.000 0.000 0.000 0.000 0.000 6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 8 0.000 0.000 0.000 0.000 0.000 0.000 0.000 10 0.581 0.000 0.000 0.000 0.000 0.000 0.000 12 0.000 0.531 0.000 0.000 0.000 0.000 0.000 14 1.629 0.732 0.000 0.000 0.000 0.000 0.000

OPI=100%

Table 15: Pilot House: Abs. vert. accel RMS motion values in SS4 [RMS g] (Departure)

V Heading [deg]

[Kts] 0.005 0.004 0.001 0.004 0.001 0.004 0.005 0 0.004 0.003 0.001 0.004 0.001 0.003 0.004 2 0.005 0.011 0.001 0.004 0.001 0.003 0.004 4 0.004 0.002 0.002 0.004 0.001 0.003 0.005 6 0.017 0.006 0.003 0.004 0.001 0.004 0.005 8 0.021 0.013 0.001 0.004 0.001 0.004 0.006 10 0.037 0.020 0.002 0.004 0.001 0.004 0.006 12 0.031 0.023 0.003 0.004 0.001 0.004 0.006 14 0.005 0.004 0.001 0.004 0.001 0.004 0.005

OPI=100%

Table 16: Pilot House: Lat. (due to roll) accel RMS motion values in SS4 [RMS g] (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.071 0.124 0.143 0.124 0.071 0.000 2 0.000 0.099 0.188 0.143 0.104 0.054 0.000 4 0.000 0.084 0.167 0.143 0.091 0.044 0.000 6 0.000 0.066 0.152 0.143 0.081 0.037 0.000 8 0.000 0.060 0.135 0.143 0.072 0.031 0.000 10 0.000 0.057 0.116 0.143 0.065 0.026 0.000 12 0.000 0.052 0.107 0.143 0.059 0.022 0.000 14 0.000 0.047 0.105 0.143 0.053 0.018 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 16

E.3 Sea State 5:

Table 17: Vessel Roll RMS motion values in SS5 (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.680 1.180 1.360 1.180 0.680 0.000 2 0.000 5.560 7.020 1.360 0.910 0.440 0.000 4 0.000 8.360 10.460 1.360 0.730 0.320 0.000 6 0.000 9.380 13.320 1.360 0.600 0.240 0.000 8 0.000 7.560 15.580 1.360 0.500 0.190 0.000 10 0.000 5.850 16.340 1.360 0.430 0.150 0.000 12 0.000 4.610 15.070 1.360 0.370 0.120 0.000 14 0.000 3.530 12.940 1.360 0.320 0.100 0.000

OPI=88.9%

Table 18: Vessel Pitch RMS motion values in SS5 (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.140 0.120 0.061 0.049 0.061 0.120 0.150 2 0.160 0.130 0.061 0.044 0.050 0.084 0.094 4 0.180 0.170 0.071 0.039 0.040 0.059 0.064 6 0.120 0.120 0.081 0.036 0.033 0.044 0.046 8 0.240 0.100 0.080 0.034 0.028 0.034 0.035 10 0.370 0.230 0.062 0.033 0.023 0.027 0.028 12 0.780 0.400 0.055 0.034 0.020 0.023 0.024 14 0.840 0.530 0.067 0.035 0.017 0.020 0.022

OPI=100%

Table 19: Pilot House MSI for 120 min. values in SS5 [%] (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.090 0.045 0.006 0.047 0.006 0.045 0.091 2 0.079 0.036 0.005 0.042 0.005 0.015 0.023 4 0.027 0.134 0.003 0.037 0.003 0.003 0.004 6 0.003 0.000 0.002 0.033 0.001 0.001 0.001 8 0.408 0.007 0.035 0.017 0.000 0.000 0.000 10 0.581 0.253 0.000 0.027 0.000 0.000 0.000 12 8.611 1.425 0.000 0.025 0.000 0.000 0.000 14 10.005 3.046 0.001 0.024 0.000 0.000 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 17

Table 20: Pilot House: Abs. vert. accel RMS motion values in SS5 [RMS g] (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.015 0.012 0.007 0.012 0.007 0.012 0.015 2 0.012 0.010 0.006 0.012 0.007 0.011 0.013 4 0.008 0.013 0.005 0.012 0.007 0.010 0.011 6 0.005 0.004 0.004 0.012 0.006 0.009 0.011 8 0.014 0.007 0.004 0.011 0.007 0.009 0.005 10 0.028 0.016 0.002 0.011 0.005 0.009 0.012 12 0.061 0.028 0.002 0.011 0.005 0.010 0.013 14 0.066 0.038 0.004 0.011 0.005 0.010 0.013

OPI=100%

Table 21: Pilot House: Lat. (due to roll) accel RMS motion values in SS5 [RMS g] (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.081 0.141 0.163 0.141 0.081 0.000 2 0.000 0.107 0.191 0.163 0.123 0.066 0.000 4 0.000 0.095 0.182 0.163 0.112 0.057 0.000 6 0.000 0.077 0.170 0.163 0.102 0.051 0.000 8 0.000 0.066 0.156 0.163 0.095 0.046 0.000 10 0.000 0.064 0.137 0.163 0.089 0.041 0.000 12 0.000 0.063 0.121 0.163 0.084 0.037 0.000 14 0.000 0.060 0.114 0.163 0.079 0.034 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 18

E.4 Sea State 6:

Table 22: Vessel Roll RMS motion values in SS6 (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.000 1.130 1.970 2.270 1.970 1.130 0.000 2 0.000 5.730 2.640 2.270 1.590 0.800 0.000 4 0.000 8.770 10.780 2.270 1.320 0.600 0.000 6 0.000 10.750 13.830 2.270 1.110 0.470 0.000 8 0.000 9.690 16.620 2.270 0.960 0.380 0.000 10 0.000 7.870 18.470 2.270 0.830 0.310 0.000 12 0.000 6.630 18.350 2.270 0.730 0.260 0.000 14 0.000 5.670 16.640 2.270 0.650 0.220 0.000

OPI=83.3%

Table 23: Vessel Pitch RMS motion values in SS6 (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.480 0.410 0.210 0.180 0.210 0.410 0.480 2 0.480 0.400 0.210 0.160 0.200 0.350 0.400 4 0.450 0.400 0.220 0.140 0.180 0.310 0.350 6 0.350 0.330 0.220 0.120 0.170 0.260 0.290 8 0.360 0.260 0.200 0.110 0.150 0.220 0.230 10 0.500 0.330 0.170 0.100 0.140 0.180 0.180 12 1.070 0.540 0.150 0.100 0.130 0.150 0.140 14 1.390 0.870 0.140 0.110 0.120 0.120 0.110

OPI=100%

Table 24: Pilot House MSI for 120 min. values in SS6 [%] (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 2.843 1.942 0.831 2.187 0.831 1.942 2.860 2 1.624 1.112 0.389 1.947 0.904 1.764 2.426 4 0.416 0.665 0.253 1.708 0.437 0.452 0.566 6 0.004 0.036 0.124 0.917 0.681 1.169 1.484 8 0.605 0.029 0.033 1.287 0.540 0.820 0.911 10 1.884 0.384 0.005 1.120 0.421 0.509 0.470 12 12.108 1.994 0.001 0.985 0.326 0.281 0.205 14 16.455 4.725 0.003 0.881 0.253 0.139 0.077

OPI=94.4%

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 19

Table 25: Pilot House: Abs. vert. accel RMS motion values in SS6 [RMS g] (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.039 0.033 0.024 0.035 0.024 0.033 0.039 2 0.028 0.025 0.013 0.034 0.026 0.034 0.039 4 0.017 0.020 0.015 0.028 0.022 0.023 0.024 6 0.009 0.009 0.011 0.031 0.026 0.033 0.037 8 0.021 0.008 0.008 0.029 0.025 0.031 0.035 10 0.031 0.017 0.005 0.028 0.024 0.029 0.033 12 0.072 0.032 0.004 0.027 0.023 0.028 0.031 14 0.086 0.045 0.005 0.026 0.022 0.027 0.030

OPI=100%

Table 26: Pilot House: Lat. (due to roll) accel RMS motion values in SS6 [RMS g] (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.090 0.156 0.180 0.156 0.090 0.000 2 0.000 0.114 0.193 0.180 0.140 0.076 0.000 4 0.000 0.105 0.195 0.180 0.129 0.068 0.000 6 0.000 0.089 0.186 0.180 0.121 0.062 0.000 8 0.000 0.072 0.175 0.180 0.115 0.058 0.000 10 0.000 0.068 0.158 0.180 0.109 0.054 0.000 12 0.000 0.068 0.137 0.180 0.104 0.050 0.000 14 0.000 0.067 0.123 0.180 0.099 0.047 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 20

E.5 Sea State 7:

Table 27: Vessel Roll RMS motion values in SS7 (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.000 1.790 3.100 3.580 3.100 1.790 0.000 2 0.000 6.050 3.890 3.580 2.590 1.330 0.000 4 0.000 9.240 11.350 3.580 2.210 1.030 0.000 6 0.000 11.810 14.540 3.580 1.910 0.830 0.000 8 0.000 11.400 17.660 3.580 1.670 0.680 0.000 10 0.000 9.580 20.150 3.580 1.470 0.570 0.000 12 0.000 8.250 20.850 3.580 1.310 0.490 0.000 14 0.000 7.310 19.620 3.580 1.180 0.420 0.000

OPI=72.2%

Table 28: Vessel Pitch RMS motion values in SS7 (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 1.400 1.200 0.670 0.350 0.670 1.200 1.400 2 1.310 1.130 0.650 0.300 0.670 1.200 1.410 4 1.190 1.050 0.630 0.250 0.670 1.190 1.380 6 1.030 0.930 0.590 0.210 0.660 1.140 1.290 8 0.940 0.830 0.550 0.190 0.640 1.060 1.160 10 0.970 0.790 0.510 0.170 0.620 0.960 1.020 12 1.480 0.920 0.470 0.170 0.600 0.870 0.890 14 2.040 1.320 0.430 0.180 0.580 0.780 0.770

OPI=100%

Table 29: Pilot House MSI for 120 min. values in SS7 [%] (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 15.605 12.129 5.791 8.382 5.791 12.129 15.645 2 9.094 7.261 3.292 7.589 7.081 15.810 20.369 4 3.478 3.771 2.295 6.760 7.933 19.080 24.493 6 0.700 0.884 1.217 4.080 8.525 10.026 26.441 8 1.431 0.244 0.560 5.172 8.990 21.916 26.100 10 2.821 0.767 0.208 4.487 9.385 21.379 24.193 12 13.925 2.763 0.078 3.905 9.727 20.008 21.398 14 19.686 5.818 0.037 3.433 10.019 18.128 18.202

OPI=88.9%

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 21

Table 30: Pilot House: Abs. vert. accel RMS motion values in SS7 [RMS g] (Departure)

[Kts] 0 30 60 90 120 150 180 0 0.079 0.068 0.048 0.060 0.048 0.068 0.079 2 0.056 0.050 0.036 0.057 0.054 0.082 0.097 4 0.036 0.037 0.030 0.054 0.058 0.095 0.114 6 0.022 0.023 0.024 0.051 0.061 0.106 0.126 8 0.025 0.016 0.019 0.048 0.064 0.112 0.131 10 0.034 0.021 0.014 0.046 0.067 0.115 0.129 12 0.077 0.034 0.011 0.043 0.069 0.114 0.125 14 0.095 0.048 0.010 0.042 0.072 0.112 0.118

OPI=100%

Table 31: Pilot House: Lat. (due to roll) accel RMS motion values in SS7 [RMS g] (Departure)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.098 0.170 0.196 0.170 0.098 0.000 2 0.000 0.116 0.196 0.196 0.154 0.085 0.000 4 0.000 0.113 0.203 0.196 0.144 0.077 0.000 6 0.000 0.099 0.200 0.196 0.137 0.072 0.000 8 0.000 0.078 0.191 0.196 0.130 0.067 0.000 10 0.000 0.071 0.175 0.196 0.125 0.064 0.000 12 0.000 0.070 0.153 0.196 0.120 0.060 0.000 14 0.000 0.071 0.134 0.196 0.116 0.057 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 22

F. Arrival Operating Condition (VCG= 16.931)

F.1 Sea State 3:

Table 32 : Table 7: Vessel Roll RMS motion values in SS3 (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.072 0.130 0.140 0.130 0.072 0.000 2 0.000 4.650 6.000 0.140 0.070 0.028 0.000 4 0.000 4.840 8.600 0.140 0.043 0.013 0.000 6 0.000 1.910 9.140 0.140 0.027 0.006 0.000 8 0.000 0.420 6.870 0.140 0.017 0.003 0.000 10 0.000 0.090 3.800 0.140 0.011 0.001 0.000 12 0.000 0.036 1.750 0.140 0.007 0.000 0.000 14 0.000 0.019 0.680 0.140 0.004 0.000 0.000

OPI=100%

Table 33: Vessel Pitch RMS motion values in SS3 (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.003 0.003 0.001 0.001 0.001 0.003 0.003 2 0.031 0.017 0.002 0.001 0.000 0.000 0.000 4 0.027 0.290 0.012 0.001 0.000 0.000 0.000 6 0.004 0.004 0.013 0.001 0.000 0.000 0.000 8 0.010 0.010 0.031 0.001 0.000 0.000 0.000 10 0.006 0.008 0.003 0.001 0.000 0.000 0.000 12 0.001 0.005 0.003 0.001 0.000 0.000 0.000 14 0.000 0.001 0.006 0.001 0.000 0.000 0.000

OPI=100%

Table 34: Pilot House MSI for 120 min. values in SS3 [%] (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 4 0.000 0.407 0.000 0.000 0.000 0.000 0.000 6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 8 0.000 0.000 0.000 0.000 0.000 0.000 0.000 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 12 0.000 0.000 0.000 0.000 0.000 0.000 0.000 14 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 23

Table 35: Pilot House: Abs. vert. accel RMS motion values in SS3 [RMS g] (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.003 0.002 0.000 0.003 0.000 0.002 0.003 2 0.003 0.002 0.000 0.003 0.000 0.000 0.000 4 0.004 0.027 0.000 0.003 0.000 0.000 0.000 6 0.003 0.002 0.001 0.003 0.000 0.000 0.000 8 0.001 0.001 0.003 0.003 0.000 0.000 0.000 10 0.001 0.001 0.000 0.003 0.000 0.000 0.000 12 0.000 0.001 0.000 0.003 0.000 0.000 0.000 14 0.000 0.000 0.001 0.003 0.000 0.000 0.000

OPI=100%

Table 36: Pilot House: Lat. (due to roll) accel RMS motion values in SS3 [RMS g] (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.026 0.045 0.052 0.045 0.026 0.000 2 0.000 0.045 0.090 0.052 0.030 0.013 0.000 4 0.000 0.033 0.074 0.052 0.021 0.007 0.000 6 0.000 0.026 0.062 0.052 0.014 0.003 0.000 8 0.000 0.020 0.052 0.052 0.010 0.002 0.000 10 0.000 0.015 0.046 0.052 0.006 0.001 0.000 12 0.000 0.011 0.039 0.052 0.004 0.000 0.000 14 0.000 0.008 0.034 0.052 0.003 0.000 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 24

F.2 Sea State 4:

Table 37: Vessel Roll RMS motion values in SS4 (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.230 0.400 0.470 0.400 0.230 0.000 2 0.000 4.700 5.940 0.470 0.290 0.140 0.000 4 0.000 6.740 8.810 0.470 0.220 0.093 0.000 6 0.000 6.810 10.940 0.470 0.180 0.066 0.000 8 0.000 4.790 12.200 0.470 0.140 0.049 0.000 10 0.000 3.040 12.020 0.470 0.120 0.038 0.000 12 0.000 1.780 10.320 0.470 0.084 0.029 0.000 14 0.000 0.930 8.150 0.470 0.084 0.023 0.000

OPI=100%

Table 38: Vessel Pitch RMS motion values in SS4 (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.017 0.014 0.007 0.004 0.007 0.014 0.017 2 0.042 0.026 0.007 0.004 0.005 0.009 0.010 4 0.045 0.300 0.017 0.004 0.004 0.006 0.007 6 0.018 0.018 0.020 0.003 0.004 0.005 0.006 8 0.078 0.039 0.039 0.003 0.003 0.004 0.005 10 0.180 0.100 0.010 0.003 0.003 0.004 0.004 12 0.290 0.240 0.011 0.003 0.002 0.004 0.004 14 0.380 0.270 0.031 0.004 0.002 0.003 0.004

Table 39: Pilot House MSI for 120 min. values in SS4 [%] (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 4 0.000 1.130 0.000 0.000 0.000 0.000 0.000 6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 8 0.004 0.000 0.001 0.000 0.000 0.000 0.000 10 0.281 0.024 0.000 0.000 0.000 0.000 0.000 12 1.109 0.653 0.000 0.000 0.000 0.000 0.000 14 2.379 0.920 0.000 0.000 0.000 0.000 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 25

Table 40: Pilot House: Abs. vert. accel RMS motion values in SS4 [RMS g] (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.004 0.003 0.001 0.004 0.001 0.003 0.004 2 0.004 0.003 0.001 0.004 0.001 0.002 0.002 4 0.004 0.028 0.001 0.004 0.001 0.002 0.002 6 0.004 0.002 0.001 0.004 0.001 0.002 0.002 8 0.006 0.003 0.004 0.004 0.001 0.002 0.003 10 0.018 0.009 0.001 0.004 0.001 0.002 0.003 12 0.028 0.023 0.001 0.004 0.001 0.002 0.003 14 0.037 0.026 0.002 0.004 0.001 0.003 0.003

OPI=100%

Table 41: Pilot House: Lat. (due to roll) accel RMS motion values in SS4 [RMS g] (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.040 0.069 0.079 0.069 0.040 0.000 2 0.000 0.054 0.104 0.079 0.058 0.030 0.000 4 0.000 0.046 0.092 0.079 0.050 0.025 0.000 6 0.000 0.038 0.084 0.079 0.045 0.021 0.000 8 0.000 0.034 0.076 0.079 0.040 0.017 0.000 10 0.000 0.032 0.068 0.079 0.036 0.015 0.000 12 0.000 0.029 0.062 0.079 0.033 0.012 0.000 14 0.000 0.026 0.059 0.079 0.030 0.010 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 26

F.3 Sea State 5:

Table 42: Vessel Roll RMS motion values in SS5 (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.400 0.690 0.800 0.690 0.400 0.000 2 0.000 4.730 5.970 0.800 0.530 0.260 0.000 4 0.000 7.000 8.890 0.800 0.430 0.190 0.000 6 0.000 8.190 11.200 0.800 0.350 0.140 0.000 8 0.000 7.230 13.050 0.800 0.300 0.110 0.000 10 0.000 5.430 14.110 0.800 0.250 0.090 0.000 12 0.000 4.070 13.880 0.800 0.220 0.073 0.000 14 0.000 2.960 12.390 0.800 0.190 0.061 0.000

Table 43: Vessel Pitch RMS motion values in SS5 (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.12 0.1 0.056 0.042 0.056 0.1 0.12 2 0.14 0.11 0.058 0.037 0.045 0.071 0.08 4 0.13 0.34 0.063 0.032 0.037 0.05 0.053 6 0.082 0.082 0.062 0.028 0.03 0.036 0.037 8 0.11 0.069 0.064 0.025 0.025 0.027 0.027 10 0.3 0.15 0.042 0.024 0.021 0.021 0.021 12 0.54 0.37 0.032 0.024 0.018 0.017 0.017 14 0.92 0.54 0.044 0.026 0.015 0.015 0.015

OPI=100%

Table 44: Pilot House MSI for 120 min. values in SS5 [%] (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.063 0.036 0.007 0.020 0.007 0.036 0.064 2 0.050 0.026 0.006 0.017 0.006 0.013 0.018 4 0.012 1.459 0.003 0.014 0.003 0.003 0.003 6 0.000 0.000 0.001 0.012 0.002 0.001 0.001 8 0.009 0.000 0.002 0.010 0.001 0.000 0.000 10 0.671 0.052 0.000 0.008 0.000 0.000 0.000 12 3.783 1.595 0.000 0.007 0.000 0.000 0.000 14 12.263 3.359 0.000 0.006 0.000 0.000 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 27

Table 45: Pilot House: Abs. vert. accel RMS motion values in SS5 [RMS g] (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.013 0.011 0.007 0.010 0.007 0.011 0.013 2 0.011 0.009 0.007 0.009 0.007 0.010 0.011 4 0.007 0.031 0.005 0.009 0.007 0.008 0.009 6 0.004 0.003 0.004 0.009 0.006 0.007 0.008 8 0.007 0.003 0.005 0.009 0.006 0.007 0.008 10 0.023 0.011 0.002 0.008 0.006 0.007 0.008 12 0.044 0.031 0.001 0.008 0.005 0.007 0.009 14 0.076 0.042 0.002 0.008 0.005 0.007 0.009

OPI=100%

Table 46: Pilot House: Lat. (due to roll) accel RMS motion values in SS5 [RMS g] (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.045 0.078 0.090 0.078 0.045 0.000 2 0.000 0.059 0.105 0.090 0.068 0.037 0.000 4 0.000 0.052 0.099 0.090 0.062 0.032 0.000 6 0.000 0.045 0.093 0.090 0.057 0.028 0.000 8 0.000 0.038 0.087 0.090 0.053 0.025 0.000 10 0.000 0.036 0.080 0.090 0.050 0.023 0.000 12 0.000 0.035 0.072 0.090 0.046 0.021 0.000 14 0.000 0.033 0.066 0.090 0.044 0.019 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 28

F.4 Sea State 6:

Table 47: Vessel Roll RMS motion values in SS6 (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.660 1.140 1.310 1.140 0.660 0.000 2 0.000 4.800 1.520 1.310 0.920 0.460 0.000 4 0.000 7.200 9.030 1.310 0.770 0.350 0.000 6 0.000 8.990 11.430 1.310 0.650 0.280 0.000 8 0.000 9.160 13.580 1.310 0.560 0.220 0.000 10 0.000 7.640 15.320 1.310 0.490 0.180 0.000 12 0.000 6.190 16.190 1.310 0.430 0.150 0.000 14 0.000 5.120 15.790 1.310 0.380 0.130 0.000

OPI=88.9%

Table 48: Vessel Pitch RMS motion values in SS6 (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.460 0.390 0.220 0.160 0.220 0.390 0.460 2 0.440 0.380 0.210 0.140 0.200 0.350 0.400 4 0.390 0.470 0.210 0.120 0.190 0.310 0.360 6 0.310 0.290 0.200 0.099 0.180 0.270 0.300 8 0.270 0.240 0.180 0.086 0.160 0.230 0.240 10 0.450 0.260 0.150 0.078 0.150 0.190 0.190 12 0.840 0.520 0.130 0.077 0.140 0.160 0.150 14 1.470 0.970 0.120 0.082 0.130 0.130 0.120

OPI=100%

Table 49: Pilot House MSI for 120 min. values in SS6 [%] (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 2.633 1.895 0.855 1.455 0.855 1.895 2.647 2 1.353 1.010 0.429 1.267 0.936 1.884 2.519 4 0.293 2.164 0.260 1.080 0.869 1.680 2.228 6 0.029 0.032 0.098 0.904 0.739 1.376 1.718 8 0.023 0.004 0.039 0.750 0.605 1.004 1.116 10 0.938 0.090 0.005 0.620 0.487 0.656 0.626 12 5.536 2.177 0.001 0.516 0.389 0.390 0.309 14 19.258 5.065 0.001 0.437 0.310 0.212 0.136

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 29

Table 50: Pilot House: Abs. vert. accel RMS motion values in SS6 [RMS g] (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.037 0.033 0.024 0.030 0.024 0.033 0.037 2 0.026 0.024 0.019 0.029 0.026 0.034 0.039 4 0.015 0.033 0.015 0.027 0.027 0.034 0.039 6 0.008 0.008 0.011 0.026 0.027 0.034 0.037 8 0.008 0.005 0.009 0.024 0.026 0.032 0.035 10 0.026 0.011 0.005 0.023 0.025 0.030 0.032 12 0.052 0.035 0.004 0.022 0.024 0.028 0.030 14 0.098 0.049 0.003 0.021 0.024 0.027 0.028

Table 51: Pilot House: Lat. (due to roll) accel RMS motion values in SS6 [RMS g] (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.000 0.050 0.086 0.099 0.086 0.050 0.000 2 0.000 0.062 0.106 0.099 0.077 0.042 0.000 4 0.000 0.057 0.106 0.099 0.071 0.038 0.000 6 0.000 0.051 0.101 0.099 0.067 0.034 0.000 8 0.000 0.043 0.096 0.099 0.063 0.032 0.000 10 0.000 0.039 0.090 0.099 0.060 0.030 0.000 12 0.000 0.038 0.083 0.099 0.057 0.028 0.000 14 0.000 0.038 0.075 0.099 0.055 0.026 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 30

F.5 Sea State 7:

Table 52: Vessel Roll RMS motion values in SS7 (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0 1.02 1.76 2.04 1.76 1.02 0 2 0 4.93 2.22 2.04 1.48 0.76 0 4 0 7.4 9.25 2.04 1.27 0.6 0 6 0 9.53 11.72 2.04 1.1 0.48 0 8 0 10.5 14.03 2.04 0.96 0.4 0 10 0 9.49 16.14 2.04 0.85 0.34 0 12 0 7.99 17.7 2.04 0.76 0.29 0 14 0 6.86 18.17 2.04 0.68 0.25 0

OPI=83.3%

Table 53: Vessel Pitch RMS motion values in SS7 (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 1.42 1.22 0.7 0.32 0.7 1.22 0.777 2 1.31 1.14 0.67 0.28 0.7 1.25 0.973 4 1.17 1.09 0.63 0.23 0.69 1.24 1.16 6 1.03 0.93 0.59 0.19 0.69 1.19 1.289 8 0.93 0.83 0.55 0.15 0.67 1.11 1.342 10 0.98 0.79 0.5 0.13 0.65 1.01 1.339 12 1.36 0.94 0.46 0.13 0.63 0.92 1.298 14 2.22 1.5 0.43 0.14 0.61 0.83 1.237

OPI=100%

Table 54: Pilot House MSI for 120 min. values in SS7 [%] (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 15.721 12.489 6.067 6.445 6.067 12.489 15.753 2 8.831 7.308 3.626 5.752 7.468 16.71 21.236 4 3.28 6.138 2.453 5.023 8.469 20.321 25.745 6 0.69 0.909 1.297 4.301 9.215 22.659 27.913 8 0.16 0.178 0.634 3.626 9.808 23.473 27.767 10 1.688 0.243 0.239 3.028 10.288 23.051 26.03 12 6.975 3.348 0.087 2.523 10.679 21.777 23.364 14 22.715 6.391 0.031 2.116 10.999 19.971 20.24

OPI=88.9%

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 31

Table 55: Pilot House: Abs. vert. accel RMS motion values in SS7 [RMS g] (Arrival)

[Kts] 0 30 60 90 120 150 180 0 0.079 0.069 0.049 0.052 0.049 0.069 0.079 2 0.055 0.050 0.037 0.050 0.055 0.085 0.099 4 0.035 0.046 0.031 0.047 0.060 0.099 0.118 6 0.022 0.023 0.024 0.044 0.064 0.111 0.131 8 0.015 0.015 0.019 0.041 0.067 0.118 0.137 10 0.027 0.015 0.015 0.038 0.070 0.121 0.137 12 0.055 0.038 0.012 0.036 0.073 0.121 0.132 14 0.108 0.053 0.010 0.034 0.076 0.119 0.126

OPI=100%

Table 56: Pilot House: Lat. (due to roll) accel RMS motion values in SS7 [RMS g] (Arrival)

V Heading [deg]

[Kts] 0 30 60 90 120 150 180 0 0.000 0.054 0.093 0.107 0.093 0.054 0.000 2 0.000 0.063 0.107 0.107 0.084 0.046 0.000 4 0.000 0.061 0.110 0.107 0.079 0.042 0.000 6 0.000 0.056 0.108 0.107 0.075 0.039 0.000 8 0.000 0.049 0.104 0.107 0.071 0.037 0.000 10 0.000 0.042 0.099 0.107 0.069 0.035 0.000 12 0.000 0.040 0.092 0.107 0.066 0.033 0.000 14 0.000 0.040 0.084 0.107 0.064 0.032 0.000

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 32

G. Motion Sickness Index

G.1 Sea State 7 Departure Operating Condition Polar Plot:

G.2 Sea State 7 Arrival Operating Condition Polar Plot:

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 33

H. CONCLUSION

Based on strip theory method, this report analyzes the roll, pitch, vertical and lateral accelerations and MSI under Lake Superior’s sea conditions at defined speed and loading conditions. In this report has been carried out a seakeeping performance check for the worst case that may occur under various sea conditions. Summary of maximum motion values are provided below tables as per sea states.

Table 57: Summary of maximum RMS motion values in SS3

Departure Arrival OPI for Departure

OPI for Arrival

Roll, [deg] 10.390 0.290 100 100 Pitch, [deg] 0.059 0.407 100 100 Lateral Acceleration at Pilot house [in g] 0.163 0.090 100 100 Vertical Acceleration at Pilot house [in g] 0.010 0.027 100 100 Motion Sickness Incidence [%] 0.033 0.263 100 100

Table 58: Summary of maximum RMS motion values in SS4

Departure Arrival OPI for Departure

OPI for Arrival

Roll, [deg] 14.170 12.200 100 100 Pitch, [deg] 0.430 0.380 100 100 Lateral Acceleration at Pilot house [in g] 0.188 0.104 100 100 Vertical Acceleration at Pilot house [in g] 0.037 0.037 100 100 Motion Sickness Incidence [%] 1.629 2.379 100 100

Table 59: Summary of maximum RMS motion values in SS5

OPI for Arrival

Roll, [deg] 16.340 14.110 88.9 94.4 Pitch, [deg] 0.840 0.920 100 100 Lateral Acceleration at Pilot house [in g] 0.191 0.105 100 100 Vertical Acceleration at Pilot house [in g] 0.066 0.076 100 100 Motion Sickness Incidence [%] 10.005 12.263 100 100

Table 60: Summary of maximum RMS motion values in SS6

OPI for Arrival

Roll, [deg] 18.470 16.190 83.3 88.9 Pitch, [deg] 1.390 1.470 100 100 Lateral Acceleration at Pilot house [in g] 0.195 0.106 100 100 Vertical Acceleration at Pilot house [in g] 0.086 0.098 100 100 Motion Sickness Incidence [%] 16.455 19.258 100 94.4

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 34

Table 61: Summary of maximum RMS motion values in SS7

OPI for Arrival

Roll, [deg] 20.850 18.170 72.2 83.3 Pitch, [deg] 2.040 2.220 100.0 100 Lateral Acceleration at Pilot house [in g] 0.203 0.110 100 100 Vertical Acceleration at Pilot house [in g] 0.131 0.137 100 100 Motion Sickness Incidence [%] 26.441 27.913 88.9 88.9

The Ranger IV design offers a high Operability Index (OPI) in sea state 3, 4, 5, 6 and 7. The motion response of the vessel generally complies with the vessel operation standards.

The maximum roll motion happens in intervals between the beam waves and the following waves (60 °) while the roll motion is better under other wave directions. At sea state 5, 6 and 7, there is a decrease in OPI for roll motion, which will require further analysis based on bilge keels effects if deemed an obstacle to operational use.

To improve the roll stability of the vessel, the bilge keel height can be increased, however increasing the height too far would decrease maneuverability as well as compromise the vessel’s overall safety. Further analysis will be required to determine if bilge keel height can be increased or not.

Maximum pitch motion happens in the between 0°-30° as well as the value meets the criteria.

The RMS of vertical acceleration in bridge reaches the highest when the heading angle is around 180 °. Although the value meets the criteria, efforts should be made to avoid this condition to ensure the normal working of machines.

When sailing in head seas for up to two hours or more at sea state 6 and sea state 7, the vessel is prone to seasickness. However, when analyzing MSI index, location was considered Pilot House which is the worst-case scenario. It can be expected passenger areas will have less MSI.

Overall, the heading angle should be appropriately adjusted during long voyages to ensure passenger comfort. The Ranger IV has the ability to remain at sea in all conditions and carry out its specified duty.

I. REFERENCES

1. DI-028 Intact and Damage Stability Report

2. USCG Criteria of Operability