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Date of download: 10/21/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Schematic diagram of strips of a floating body

2 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Schematic diagram of a floating body with sign convention

3 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Comparison of sway, roll and yaw exciting force/moments at time t = 7.85 (s) and at frequency, w = 0.8 (rad/s)

4 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Real part, imaginary part, and norm of transfer functions for uncoupled (1DOF) and coupled (3DOF) sway, roll and yaw motions

5 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Roll amplitude for case C with and without damping: (a) w = 0.3 (IC-1), (b) w = 0.56 (IC-1), (c) w = 0.74 (IC-1), (d) w = 1.2 (IC-1) (linear damping), (e) w = 0.74 (IC-1), and (f) w = 1.2 (IC-1) (unbounded damping)

6 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Comparison of roll amplitude of case C with the full form and approximation of Hill and Mathieu equations: (a) w = 0.3 (IC-1), (b) w = 0.56 (IC-1), (c) w = 0.74 (IC-1), (d) w = 1.2 (IC-1), (e) w = 0.56 (IC-2) Eq. (73), and (f) w = 0.74 (IC-2) Eq. (76)

7 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Comparison plots of ɛ in δ–t plane indicating parametric excitation

8 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Plots of X·4 with time for the frequencies ω = 0.56 (where b44 = 0) and 0.74 Eq. (80)

9 Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Modeling of Response Amplitude Operator for Coupled Sway, Roll and Yaw Motions of a Floating Body in Sinusoidal Waves Using Frequency Based Analysis J. Offshore Mech. Arct. Eng. 2015;137(3): doi: / Figure Legend: Sway and yaw amplitude for case C new: (a) w = 0.3 (IC-1), (b) w = 0.30 (IC-1), (c) w = 0.56 (IC-1), (d) w = 56 (IC-1), (e) w = 0.74 (IC-1), and (f) w = 0.74 (IC-1)


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