Abstract
Roll motion of a planing hull can be easily triggered at high speeds, causing a significant change in hydrodynamic pressure pattern, which can threaten the stability of the vessel. Modeling and investigating roll motion of a planing vessel may require a strong coupling between motions in vertical and transverse planes. In the present paper, we have used a mathematical model to analyze the roll of a planing hull by coupling surge, heave, pitch, and roll motions using 2D + T theory to study the effects of roll-induced vertical motions on roll coefficients and response. Mathematically computed forces and moments as well as roll dynamic response of the vessel are seen to be in fair quantitative agreement with experimentally measured values of previously published data. Using the 2D + T method, it has been shown that to model the roll of a planing hull at high speeds, we need to consider the effects of heave, pitch, and surge motions. Through our mathematical modeling, it is found that freedom in vertical motions increases time-dependent roll damping and added mass coefficients, especially at early planing speeds. The results of dynamic response simulations suggest that freedom in the vertical plane can decrease the roll response.
Issue Section:
Offshore Technology
References
1.
Tavakoli
, S.
, and Dashtimanesh
, A.
, 2018
, “Running Attitudes of Yawed Planing Hull in Calm Water: Development of an Oblique 2d+t Theory
,” Ships and Offshore Struct.
, 12
(8
), pp. 1086
–1099
. 10.1080/17445302.2017.13165552.
Katayama
, T.
, and Ikeda
, Y.
, 1996
, “A Study on Unstable Rolling Induced by Pitching of Planing Crafts at High Advance Speeds
,” J. Kansai Soc. Nav. Archit.
, 225
(228
), pp. 141
–148
.3.
Ikeda
, Y.
, and Katayama
, T.
, 2000
, “Roll Damping Prediction Method for Ahigh-Speed Planing Craft
,” Proceeding of the 7th Stability of Ships and Ocean Vehicles Conference
, Launceston, Australia
, Feb. 7–11
.4.
Zarnick
, E. E.
, 1978
, “A Non-Linear Mathematical Model of Motions of Planing Boat in Regular Waves
,” Technical Report DTNSRDC-78/032, David W. Taylor Naval Ship Research and Development
, Bethesda, MD
.5.
Tavakoli
, S.
, and Dashtimanesh
, A.
, 2018
, “Mathematical Simulation for Planar Motion Mechanism Test for Planing Hulls by Using 2d+t Theory
,” Ocean Eng.
, 169
, pp. 651
–672
. 10.1016/j.oceaneng.2018.09.0456.
Savitsky
, D.
, 1964
, “Hydrodynamic Design of Planing Hulls
,” Mar. Technol.
, 1
(04
), pp. 71
–95
.7.
Ghadimi
, P.
, Tavakoli
, S.
, Feizi-Chekab
, M. A.
, and Dashtimanesh
, A.
, 2015
, “Introducing a Particular Mathematical Model for Predicting the Resistance and Performance of Prismatic Planing Hulls in Calm Water by Means of Total Pressure Distribution
,” J. Nav. Archit. Mar. Eng.
, 12
(2
), pp. 73
–94
. 10.3329/jname.v12i2.223518.
Broglia
, R.
, and Iafrati
, A.
, 2010
, “Hydrodynamic of Planing Hulls in Asymmetric Conditions
,” Proceeding of the 28th Symposium in Naval Hydro-Dynamics
, Arlington, VA
, Sept. 12–17
.9.
Begovic
, E.
, Bertorello
, C.
, and Orscic
, J.
, 2013
, “Roll Damping Coefficient of Round Bildge and Hard-Chine Hullforms
,” Proceedings of the 32nd International Conference on Ocean, Offshore and Arctic Engineering, Odd. M. Faltinsen Honoring Symposium on Marine Hydrodynamics
, Nantes, France
, June 9–14
.10.
Judge
, C.
, and Judge
, J.
, 2013
, “Measurements of Hydrodynamic Coefficients on a Planing Hull Using Forced Roll Oscillations
,” J. Ship Res.
, 57
(2
), pp. 112
–124
. 10.5957/JOSR.57.2.12002011.
Tavakoli
, S.
, Najafi
, S.
, Amini
, E.
, and Dashtimanesh
, A.
, 2018
, “Performance of High-Speed Planing Hulls Accelerating From Rest Under the Action of a Surface Piercing Propeller and an Outboard Engine
,” Appl. Ocean Res.
, 77
. 10.1016/j.apor.2018.05.00412.
Mancini
, S.
, Begovic
, E.
, Day
, A. H.
, and Incecik
, A.
, 2018
, “Verification and Validation of Numerical Modelling of DTMB 5415 Roll Decay
,” Ocean Eng.
, 162
, pp. 209
–223
. 10.1016/j.oceaneng.2018.05.03113.
Ghadimi
, P.
, Tavakoli
, S.
, and Dashtimanesh
, A.
, 2016
, “An Analytical Procedure for Time Domain Simulation of Roll Motion of the Warped Planing Hulls
,” Proc. Inst. Mech. Eng. Part M J. Eng. Marit. Environ.
, 230
(4
), pp. 600
–615
. 10.1177/147509021561353614.
Tavakoli
, S.
, Ghadimi
, P.
, Dashtimanesh
, A.
, and Sahoo
, P. K.
, 2015
, “Determination of Hydrodynamic Coefficients in Roll Motion of High-Speed Planing Hulls
,” Proceeding of the 13th International Conference on Fast Sea Transportation
, Washington, DC
, Sept. 1–4
.15.
Sun
, H.
, and Faltinsen
, O. M.
, 2012
, “Hydrodynamic Forces on a Semi-displacement Ship at High Speed
,” Appl. Ocean Res.
, 34
, pp. 68
–77
. 10.1016/j.apor.2011.10.00116.
Payne
, P. R.
, 1995
, “Contributions to Planing Theory
,” Ocean Eng.
, 22
(7
), pp. 699
–729
. 10.1016/0029-8018(94)00033-417.
Xu
, L.
, Trosch
, A. W.
, and Peterson
, R.
, 1999
, “Asymmetric Hydrodynamic Impact and Dynamic Response of the Vessels
,” ASME J. Offshore Mech. Arct. Eng.
, 121
(2
), pp. 83
–89
. 10.1115/1.283008218.
Tavakoli
, S.
, Dashtimanesh
, A.
, and Sahoo
, P. K.
, 2018
, “An Oblique 2D+t Approach for Hydrodynamic Modeling of Yawed Planing Boats in Calm Water
,” J. Ship. Prod. Des.
, 34
(4
), pp. 335
–346
. 10.5957/JSPD.16003219.
Qin
, H.
, Zhao
, L.
, and Sing
, J.
, 2001
, “A Modified Logvinovich Model for Hydrodynamic Loads on an Asymmetric Wedge Entering Water With a Roll Motion
,” J. Mar. Sci. Appl.
, 10
, pp. 184
–189
. 10.1007/s11804-011-1058-120.
Tavakoli
, S.
, Ghadimi
, P.
, and Dashtimanesh
, A.
, 2017
, “A Nonlinear Mathematical Model for Coupled Heave, Pitch and Roll Motions of a High-Speed Planing Hull
,” J. Eng. Math.
, 104
(1
), pp. 157
–194
. 10.1007/s10665-016-9878-221.
Greco
, M.
, Lugni
, C.
, and Faltinsen
, O. M.
, 2015
, “Influence of Motion Coupling and Nonlinear Effects on Parametric Roll for a Floating Production Storage and Offloading Platform
,” Philos. Trans. R. Soc. London, Ser. A
, 373
(2014040110
), pp. 1
–18
. 10.1098/rsta.2014.011022.
Bilandi
, R. N.
, Dashtimanesh
, A.
, and Zamanain
, R.
, 2019
, “Development of a 2D+t Theory for Performance Prediction of Double-Stepped Planing Hulls in Calm Water
,” Proc. Inst. Mech. Eng. Part M J. Eng. Marit. Environ.
, 233
(3
), pp. 886
–904
. 10.1177/147509021879778423.
Dashtimanesh
, A.
, Enshaei
, H.
, and Tavakoli
, S.
, 2019
, “Oblique-Asymmetric 2d+t Model to Compute Hydrodynamic Forces and Moments in Coupled Sway, Roll and Yaw Motions of Planing Hulls
,” J. Ship Res.
, 63
(1
), pp. 1
–15
. 10.5957/JOSR.1217007924.
Ghadimi
, P.
, Tavakoli
, S.
, Dashtimanesh
, A.
, and Pirooz
, A.
, 2014
, “Developing a Computer Program for Detailed Study of Planing Hull’s Spray Based on Morabito’s Approach
,” J. Mar. Sci. Appl.
, 13
(4
), pp. 402
–415
. 10.1007/s11804-014-1280-825.
Garme
, K.
, 2005
, “Improved Time Domain Simulation of Planing Hulls on Waves by Correction of Near Transom Lift
,” Int. Shipbuild. Prog.
, 50
(3
), pp. 177
–208
.26.
Savitsky
, D.
, Prowse
, R. E.
, and Lueders
, H.
, 1958
, “High-Speed Hydrodynamic Characteristics of a Flat Plate and 20 Degrees Dead-Rise Surface in Unsymmetrical Planing Conditions
,” Technical Note 4187, National Advisory Committee for Aeronautics
, Washington DC
.27.
Balsamo
, F. V.
, Milanesi
, S.
, and Pensa
, C.
, 2001
, “Roll Dynamic in Planing and Semi-planing Range
,” Proceeding of the 6th International Conference on Fast Sea Transportation
, Southampton, UK
, Sept. 4–6
.28.
Judge
, C.
, 2014
, “Empirical Methods for Predicting Lift and Heel Moment for a Heeled Planing Hull
,” J. Ship. Prod. Des.
, 30
(4
), pp. 175
–183
. 10.5957/jspd.2014.30.4.17529.
Morabito
, M. G.
, 2015
, “Prediction of Planing Hull Side Force in Yaw Using Slender Body Oblique Impact Theory
,” Ocean Eng.
, 101
, pp. 45
–57
. 10.1016/j.oceaneng.2015.04.014Copyright © 2021 by ASME
You do not currently have access to this content.
