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Parametric and Autoparametric Dynamics of Ships with Liquid Sloshing Interaction

  • Raouf A. IbrahimEmail author
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 228)

Abstract

Two mechanisms of parametric roll resonance of navigating ships together with roll-pitch autoparametric interaction of ship dynamics are outlined. Deterministic and stochastic parametric roll ship’s stability are outlined. Sloshing flow in liquid ship cargo adds additional problem in the vessel stability and dynamics. A liquid cargo tank is excited by the ship motion and the subsequent liquid sloshing flow itself affects the ship dynamics. The problem of ship interaction with liquefied natural gas (LNG) sloshing dynamics is discussed. Ship designers have been motivated to develop passive and active controls of ships roll instability. This includes free surface anti-roll tanks and U-tube anti-roll tanks. The basic principle of the two anti-roll tank types is to transfer the liquid from starboard to port side and vice versa, with a certain phase lag with respect to the ship’s rolling motion. This provides a counteracting moment to stabilize the ship roll oscillations. This article is dedicated in memory of two outstanding leaders in the field of nonlinear dynamics: the late Professor Ali H. Nayfeh and the late Professor Allan D. S. Barr.

References

  1. 1.
    B. Abeil, Experimental prediction of anti-roll tanks on the rolling of ships, in Proceedings of 13th International Symposium on PRActical Design of Ships and Other Floating Structures (PRADS 2016) (Copenhagen, Denmark, 2016), Paper ID 146Google Scholar
  2. 2.
    H.N. Abramson, R.L. Bass, O. Faltinsen, H.A. Olsen, Liquid slosh in LNG carriers, in 10th Symposium on Naval Hydrodynamics (Boston, 1974), pp. 371–388Google Scholar
  3. 3.
    ABS, Assessment, of Parametric Roll Resonance in the Design of Container Carriers (American Bureau of Shipping (, Houston, Texas, USA, 2004)Google Scholar
  4. 4.
    ABS, Strength Assessment of Membrane-type LNG Containment Systems under Sloshing Loads (Amer Bureau of Shipping, Houston, Texas, 2006)Google Scholar
  5. 5.
    ABS, Guidance Notes on Strength Assessment of Membrane-Type LNG Containment Systems Under Sloshing Loads (Amer Bureau of Shipping, Houston, Texas, 2009), p. 90Google Scholar
  6. 6.
    B. Arndt, S. Roden, Stabilitiit bei vor- und achterlichem Seegang (Stability in fore and aft seas). Schiffstechnik 5(29), 192–199 (1958)Google Scholar
  7. 7.
    D.W. Bass, Roll stabilization for small fishing vessels using paravanes and anti-roll tanks. Mar. Technol. 35(2), 74–84 (1998)Google Scholar
  8. 8.
    V.L. Belenky, Probabilistic approach for intact stability standards: State of the art review and related problems. Trans. Soc. Nav. Archit. Mar. Eng. 108, 123–146 (2000)Google Scholar
  9. 9.
    V.L. Belenky, A.B. Degtyarev, A.V. Boukhanovsky, Probabilistic qualities of severe ship motions, in Proceedings of 6th International Conference on Stability of Ships and Ocean Vehicles, vol. 1 (Varna, Bulgaria, 1997), pp. 163Google Scholar
  10. 10.
    V.L. Belenky, A.B. Degtyarev, A.V. Boukhanovsky, Probabilistic qualities of nonlinear stochastic rolling. Ocean Eng. 25(1), 1–25 (1998)CrossRefGoogle Scholar
  11. 11.
    V.L. Belenky, N.B. Sevastianov, Stability and Safety of Ships: Risk of Capsizing, vol. 2 (Elseveir, Amsterdam, 2003)Google Scholar
  12. 12.
    V.L. Belenky, K.M. Weems, W.M. Lin, J.R. Paulling, Probabilistic analysis of roll parametric resonance in head sea, in Proceedings of 8th International Conference on Stability of Ships and Ocean Vehicles, Escuela Técnica Superior de Ingenieros Navales (Madrid, 2003), pp. 337–339Google Scholar
  13. 13.
    V.L. Belenky, H.C. Yu, K. Weems, Numerical Procedures and practical experience of assessment of parametric roll of container carriers, in Proceedings of 9th International Conference on Stability of Ships and Ocean Vehicle, vol. 1 (Rio de Janiro, Brazil, 2006), pp. 119–130Google Scholar
  14. 14.
    V. Belenky, H.C. Yu, K. Weems, Numerical procedures and practical experience of assessment of parametric roll of container carriers, in Contemporary Ideas on Ship Stability and Capsizing in Waves (Springer, Berlin, 2011), pp. 295–305Google Scholar
  15. 15.
    V.L. Belenky, K.M. Weems, Probabilistic analysis of roll parametric resonance in head seas, Parametric Resonance in Dynamical Systems (Springer, Berlin, 2011), pp. 555–569Google Scholar
  16. 16.
    V. Belenky, C.G. Bassler, K.J. Spyrou, Development of second generation intact stability criteria, Naval Surface Warfare Center Carderock Div., Bethesda, MD. Hydromechanics Directorate, Report: NSWCCD-50-TR-2011/065 (2011), p. 175Google Scholar
  17. 17.
    J. Bell, W.P. Walker, Activated and passive controlled fluid tank system for ship stabilization. SNAME Trans. 74, 150–193 (1966)Google Scholar
  18. 18.
    W. Blocki, Ship safety in connection with parametric resonance of the roll. Int. Shipbuild. Prog. 27(306), 36–53 (1980)CrossRefGoogle Scholar
  19. 19.
    J.J. van den Bosch, J.H. Vugts, Roll damping by free surface tanks, Report No 83S (Shipbuilding Laboratory of the Technical University of Delft, 1966)Google Scholar
  20. 20.
    G. Bulian, Development of analytical nonlinear models for parametric roll and hydrostatic restoring variations in regular and irregular waves. Ph.D. Thesis, University of Trieste, Trieste, Italy, 2006Google Scholar
  21. 21.
    G. Bulian, A. Francescutto, C. Lugni, On the nonlinear modeling of parametric rolling in regular and irregular waves, in Proceedings of 8th International Stability of Ships and Ocean Vehicles, Escuela Técnica Superior de Ingenieros Navales (2003), pp. 305–323Google Scholar
  22. 22.
    G. Bulian, A. Francescutto, On the effect of stochastic variations of restoring moment in long-crested irregular longitudinal sea. Int. Shipbuid. Prog. 54(4), 227–248 (2007)Google Scholar
  23. 23.
    G. Bulian, A. Francescutto, C. Lugni, Theoretical, numerical and experimental study on the problem of ergodicity and ‘practical ergodicity’ with an application to parametric roll in longitudinal long crested irregular sea. Ocean Eng. 33(8–9), 1007–1043 (2006)CrossRefGoogle Scholar
  24. 24.
    Bureau Veritas, Sloshing on Board Ship-Partial filling Study, Guidance Note N.I. 171 ARD.1 (Paris, France, 1984)Google Scholar
  25. 25.
    Bureau Veritas, Sloshing Assessment–Partial Fillings of Membrane Type LNG Carriers and Offshore Floating Units, Preliminary Guidelines, Rev. 1, (Paris, France, 2005)Google Scholar
  26. 26.
    W. Burger, A.G. Corbet, Ship Stabilizers: A Handbook for Merchant Navy Officers (Pergamon Press/Elsevier, New York, 1966)Google Scholar
  27. 27.
    Z.H. Cai, D.Y. Wang, Z. Li, Numerical simulation and experimental study of sloshing in a liquefied natural gas tank (in Chinese). J. Shanghai Jiaotong Univ. 43(10), 1559–1563 (2009)Google Scholar
  28. 28.
    N. Carette, A study of the response to sway motions of free surface anti-roll tanks, in Proceedings of World Maritime Conference (WMTC) (Providence, Rohde Island, 2015), Paper #133Google Scholar
  29. 29.
    N. Carette, R.P. Dallinga, G.K. Kapsenberg, On the design of anti-roll tanks, in Proceedings of 13th International Symposium on PRActical Design of Ships and Other Floating Structures (PRADS 2016) (Copenhagen, Denmark, 2016), Paper ID030Google Scholar
  30. 30.
    S.M. Carmel, Study of parametric rolling event on a panamax container vessel. J. Transp. Res. Board 1963, 56–63 (2006)CrossRefGoogle Scholar
  31. 31.
    J.L. Cercos-Pita, G. Bulian, L. Pérex-Rojas, A. Francescutto, Coupled simulation of nonlinear ship motions and free surface tanks, in Proceedings of 12th International Conference on Stability of Ships and Ocean Vehicles (Glasgow, U.K., 2015), pp. 1050–1061. Also, Ocean Eng. 120, 281–288 (2016)Google Scholar
  32. 32.
    J.H. Chadwick, Anti-roll stabilization of ships by means of activated tanks. Part C. Synthesis of high performance systems, Report TR-15 (Div of Engineering Mechanics, Stanford University, CA, 1951), p. 90Google Scholar
  33. 33.
    J.H. Chadwick, K. Klotter, On the dynamics of anti-roll tanks. Schiffstechnik 2, 23–45 (1954)Google Scholar
  34. 34.
    S.L. Chen, S.W. Shaw, H.K. Khalil, A.W. Troesch, Robust stabilization of large amplitude ship rolling in beam seas. ASME J. Dyn. Syst. Meas. Control 122(1), 108–113 (2000)CrossRefGoogle Scholar
  35. 35.
    X.B. Chen, Hydrodynamics in offshore and naval applications, in Proceedings of 6th International Conference on Hydrodynamics (Perth, Australia, 2004)Google Scholar
  36. 36.
    X.B. Chen, Hydrodynamic analysis for offshore LNG terminals, in Proceedings of 2nd International Workshop on Applied Offshore Hydrodynamics (Rio de Janeiro, Brazil, 2005)Google Scholar
  37. 37.
    G.F. Clauss, D. Testa, F. Sprenger, Coupling effects between tank sloshing and motions of a LNG carrier, in Proceedings of 29th ASME International Conference on Offshore Mechanics and Arctic Engineering (OMAE), vol. 1 (Shanghai, China, 2010), pp. 75–82Google Scholar
  38. 38.
    P.A. Cox, E.B. Bowles, R.L. Bass, Evaluation of Liquid Dynamic Loads in Slack LNG Cargo Tanks, Ship Structure Committee SSC-297 (Southwest Research Institute, San Antonio, Texas, 1980)Google Scholar
  39. 39.
    C.R. Crockett, Passive anti-roll tanks, Report: DDS-9290-4; DDS-565-1 (Bureau of Ships, Washington, DC, 1962), p. 21Google Scholar
  40. 40.
    R.P. Dallinga, J.J. Blok, H.R. Luth, Excessive rolling of cruise ships in head and following waves, in Proceedings of RINA International Conference on Ship Motions and Manoeuvrability (Royal Institute of Naval Architects, London, UK, 1998)Google Scholar
  41. 41.
    J.F. Dalzell, W.H. Chu, J.E. Modisette, Studies of ship roll stabilization tanks, SWRI, Technical Report 1 (San Antonio, Texas, 1964)Google Scholar
  42. 42.
    J. Delaunay, Numerical simulation of motion stabilization by U-tube anti-roll tanks using CFD. Master’s thesis, Universite de Bretagne Occidentale, Brest, Brittany, France, 2012Google Scholar
  43. 43.
    J.P. Den Hartog, Mechanical Vibrations (Dover Publications Inc, New York, 1985)zbMATHGoogle Scholar
  44. 44.
    L. Dostal, E. Kreuzer, Probabilistic approach to large amplitude ship rolling in random seas. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 225(C10), 2464–2476 (2011)CrossRefGoogle Scholar
  45. 45.
    L. Dostal, E. Kreuzer, Non-stationary probability of parametric roll of ships in random seas, in Proceedings of 5th International Conference on Computational Methods in Marine Engineering (Hamburg, Germany, 2013), pp. 772–780Google Scholar
  46. 46.
    A.B. Dunwoody, Roll of a ship in Astern Seas—Metacentric height spectra. J. Ship Res. 33, 221–228 (1989)Google Scholar
  47. 47.
    A.B. Dunwoody, Roll of a ship in Astern Seas—Response to GM fluctuations. J. Ship Res. 33, 284–290 (1989)Google Scholar
  48. 48.
    O.M. Faltinsen, H.A. Olsen, H.N. Abramson, R.L. Bass, Liquid Slosh in LNG Carriers (Det Norske Veritas, Norway, 1974). Publication No 85Google Scholar
  49. 49.
    O.M. Faltinsen, A.N. Timokha, Sloshing (Cambridge University Press, Cambridge, U.K., 2009)zbMATHGoogle Scholar
  50. 50.
    S.B. Field, J.P. Martin, Comparative effects of U-tube and free surface type passive roll stabilization systems. R. Inst. Nav. Arch. 2, 73–92 (1976)Google Scholar
  51. 51.
    C.G. Filstead Jr., The design and operation of LNG ships with regard to safety. Shipp. World Shipbuild. 165(3866), 259–262 (1972)Google Scholar
  52. 52.
    H. Frahm, Results of trials of the anti-rolling tanks at sea. Transact. Inst. Nav. Archit. 53, 183–197 (1911)Google Scholar
  53. 53.
    W.N. France, M. Levadou, T.W. Treakle, J.R. Paulling, R.K. Michel, C. Moore, An investigation of head-sea parametric rolling and its influence on container lashing systems, in Proceedings of SNAME Annual Meeting (Orlando, FL, 2003), p. 24. Also Mar. Technol. 40(1), 1–19 (2003)Google Scholar
  54. 54.
    A. Francescutto, An experimental investigation of parametric rolling in head waves. ASME J. Offshore Mech. Arct. Eng. 123(2), 65–69 (2001)CrossRefGoogle Scholar
  55. 55.
    A. Francescutto, G. Contento, An experimental study of the coupling between roll motion and sloshing in a compartment, in Proceedings of International Society of Offshore and Polar Engineers Conference, vol. 3 (Osaka, Japan, 1994), pp. 283–288Google Scholar
  56. 56.
    A. Francescutto, G. Bulian, C. Lugni, Nonlinear and stochastic aspects of parametric rolling modeling. Mar. Technol. 41(2), 74–81 (2004)Google Scholar
  57. 57.
    W. Froude, On the rolling of ships. Trans. Inst. Nav. Arch. 2, 180–227 (1861)Google Scholar
  58. 58.
    W. Froude, Remarks on Mr. Scott Russel’s paper on rolling. Trans. Inst. Nav. Archit. 4, 232–275 (1862)Google Scholar
  59. 59.
    D.D. Gao, T.L. Li, J.M. Hu, D. Guo, Research on numerical simulation of sloshing motions for anti-rolling tank (in Chinese). J. Dalian Univ. Technol. 54(5), 537–542 (2014)Google Scholar
  60. 60.
    A.F. Gawad, S. Ragab, A.H. Nayfeh, D.T. Mook, Roll stabilization by anti-roll passive tanks. Ocean Eng. 28, 457–469 (2001)CrossRefGoogle Scholar
  61. 61.
    S.J. Gong, Design of anti-roll tanks and study of sloshing phenomenon by meshes method. Navig. China 36(4), 147–151 (2013)Google Scholar
  62. 62.
    Y. Gou, Y. Kim, T.Y. Kim, A numerical study on coupling between ship motions and sloshing in frequency and time domains, in Proceedings of 21st International Ocean and Polar Engineering (ISOPE) Conference, vol. 8 (Maui, Hawaii, 2011), pp. 158–164Google Scholar
  63. 63.
    W. Graff, E. Heckscher, Widerstand und Stabilität Versuche mit Drei Fischdampfer Modellen (Resistance and Stability Tests with Three Fish Steamer Models). Werft Reederei Hafen 22, 115–120 (1941)Google Scholar
  64. 64.
    O. Grim, Das Schiff in von achtern mitlaufender Sea (The ship in astern of the lake), Hamburg. Trans. STG 45, 264–287 (1951)Google Scholar
  65. 65.
    O. Grim, Rollschwingungen, Stabilitiit und Sicherheit im Seegang (Roll vibration, stability and safety in the sea) Schiffahrts-Verlag Hansa, Schiffstechnik 1(1), 10–21 (1952)Google Scholar
  66. 66.
    O. Grim, Beitrag zu dem Problem der Sicherheit des Schiffes im Seegang (Contribution to the problem of the safety of the ship in the sea). Schiff und Hafen, Helft 6, 490–491 (1961)Google Scholar
  67. 67.
    M. Gunsing, N. Carette, G. Kapsenberg, Experimental data on the systematic variation of the internal damping inside a U-shaped anti-roll tank, in Proceedings of 33rd International Conference on Offshore Mechanical and Arctic Engineering, vol. 7 (San Francisco, California, 2014), p. 10Google Scholar
  68. 68.
    A.G. Haddow, A.D.S. Barr, D.T. Mook, Theoretical and experimental study of modal interaction in a two-degree-of-freedom structure. J. Sound Vibr. 97, 451–473 (1984)ADSMathSciNetCrossRefGoogle Scholar
  69. 69.
    P.A. Hamill, A note on the rolling of ships and stabilizing systems, particularly anti-roll tanks, Ship Section, Division of Mechanical Engineering, Technical University of Delft (1965), p. 9. http://mararchief.tudelft.nl/file/22534
  70. 70.
    N.A. Hamlin, Liquid Slosh Loading in Slack Ship Tanks: Forces on Internal Structure & Pressures, Ship Structure Committee SSC-336, 1990: Liquid Sloshing in Cargo Tanks (Washington, D.C, 1986), p. 123Google Scholar
  71. 71.
    M. Haro, R. Ferreiro, F.J. Velasco, Ship’s roll stabilization by anti-roll active tanks, in Proceedings of OCEANS 2011 Conference (Santander, Spain, 2011), p. 10Google Scholar
  72. 72.
    H. Hashimoto, N. Umeda, A. Matsuda, S. Nakamura, Experimental and numerical study on parametric roll of a post-panamax containership in irregular waves, in Proceedings of 9th International Stability of Ships and Ocean Vehicles, vol. 1 (2006), pp. 181–190Google Scholar
  73. 73.
    H. Hashimoto, N. Umeda, Y. Ogawa, H. Taguchi, T. Iseki, G. Bulian, N. Toki, S. Ishida, A. Matsuda, Prediction methods for parametric rolling with forward velocity and their validation: final report of SCAPE Committee (Part 2), in Proceedings of 6th Osaka Colloquium on Seakeeping and Stability of Ships (2008), pp. 265–275Google Scholar
  74. 74.
    R.S. Haxton, A.D.S. Barr, Autoparametric vibration absorber. ASME J. Eng. Indust. Ser. B 94, 119–125 (1972)CrossRefGoogle Scholar
  75. 75.
    C. Holden, R. Galeazzi, T. Perez, T.I. Fossen, Stabilization of parametric roll resonance with active U-tanks via lyapunov control design, in Proceedings of the 10th European Control Conference (Budapest, Hungary, 2009)Google Scholar
  76. 76.
    C. Holden, T. Perez, T.I. Fossen, A lagrangian approach to nonlinear modeling of anti-roll tanks. Ocean Eng. 38(2–3), 341–359 (2011)CrossRefGoogle Scholar
  77. 77.
    C. Holden, T.I. Fossen, A nonlinear 7-DOF model for U-tanks of arbitrary shape. Ocean Eng. 45, 22–37 (2012)CrossRefGoogle Scholar
  78. 78.
    C. Holden, T.L. Fossen, A U-tank control system for ships in parametric roll resonance, Parametric Resonance in Dynamical Systems (Springer, Berlin, 2012), pp. 239–263CrossRefGoogle Scholar
  79. 79.
    M. Honkanen, Tests and design data of tank stabilizers of the free-surface type. Technical Report 6 (Helsinki University of Technology, Helsinki, Finland, 1971)Google Scholar
  80. 80.
    J. Hua, M. Palmquist, G. Lindgren, An analysis of the parametric roll events measured onboard the PCTC AIDA, in Proceedings of 9th International Stability of Ships and Ocean Vehicles (2006), pp. 109–118Google Scholar
  81. 81.
    R.A. Ibrahim, Parametric Random Vibration (Wiley, New York, 1985)zbMATHGoogle Scholar
  82. 82.
    R.A. Ibrahim, Liquid Sloshing Dynamics: Theory and Applications (Cambridge University Press, Cambridge, U.K., 2005)zbMATHCrossRefGoogle Scholar
  83. 83.
    R.A. Ibrahim, Recent advances in physics of fluid parametric sloshing and related problems. ASME J. Fluids Eng. 137(9), 090801, 52 (2015)CrossRefGoogle Scholar
  84. 84.
    R.A. Ibrahim, Handbook of Structural Life Assessment (John Wiley, London, U.K., 2017)CrossRefGoogle Scholar
  85. 85.
    R.A. Ibrahim, I.M. Grace, Modeling of ship roll dynamics and its coupling with heave and pitch. Math. Prob. Eng. 2010, 934714, 32 (2010)Google Scholar
  86. 86.
    A.S. Iglesias, L.P. Rojas, R.Z. Rodriguez, Simulation of anti-roll tanks and sloshing type problems with smoothed particle hydrodynamics. Ocean Eng. 31(8–9), 1169–1192 (2004)CrossRefGoogle Scholar
  87. 87.
    S.C. Jiang, B. Ting, W. Bai, Y. Gou, Numerical simulation of coupling effect between ship motion and liquid sloshing under wave action. Ocean Eng. 108, 140–154 (2015)CrossRefGoogle Scholar
  88. 88.
    H.Z. Jin, H.H. Zhang, C.H. Ben, Improved dual tank anti-rolling system for ships (in Chinese). J. Harbin Eng. Univ. 29(3), 242–246, 250 (2008)Google Scholar
  89. 89.
    J.M.J. Journée, Liquid cargo and its effect on ship motions, in Proceedings of 6th International Conference on Stability of Ships and Ocean Structures (Stab’97) (Varna, Bulgaria, 1997), pp. 22–27Google Scholar
  90. 90.
    G. Kempf, Die Stabilität Beanspruchung der Schiffe Durch Wellen und Schwingungen (The stability stress of the ships by waves and vibrations). Werft Reederei Hafen 19, 200–202 (1938)Google Scholar
  91. 91.
    M. Kerkvliet, G. Vaz, N. Carette, M. Gunsing, Analysis of U-type anti-roll tank using RANS, sensitivity and validation, in Proceedings of ASME 33rd International Conference on Ocean, Offshore and Artic Engineering, OMAE2014-23483 (San Francisco, CA, 2014), p. 10Google Scholar
  92. 92.
    M. Kerkvliet, N. Carette, O. Van Straten, Analysis of free surface anti-roll tank using URANS, verification and validation, in Proceedings of 13th International Symposium on PRActical Design of Ships and Other Floating Structures (Copenhagen, Denmark, 2016), Paper ID055Google Scholar
  93. 93.
    J.E. Kerwin, Notes on rolling in longitudinal waves. Int. Shipbuild. Prog. 2(16), 597–614 (1955)CrossRefGoogle Scholar
  94. 94.
    K.S. Kim, B.H. Lee, M.H. Kim, J.C. Park, H.S. Choi, A study of anti-rolling tank on floating vessel, in Proceedings of 35th ASME International Conference on Offshore Mechanics and Arctic Engineering, vol. 7 (Busan, Korea, 2016), p. 6Google Scholar
  95. 95.
    Y. Kim, A numerical study on sloshing flows coupled with ship motion: the anti-rolling tank problem. J. Ship Res. 46(1), 56–62 (2002)Google Scholar
  96. 96.
    Y. Kim, B.W. Nam, D.W. Kim, Y.S. Kim, Study on coupling effects of ship motion and sloshing. Ocean Eng. 34(16), 2176–2187 (2007)CrossRefGoogle Scholar
  97. 97.
    Y.H. Kim, H.G. Sung, S.K. Cho, H.S. Choi, The sloshing effect on the roll motion and 2-DoF motions of a 2D rectangular cylinder. J. Soc. Nav. Archit. Korea 50(2), 69–78 (2013)CrossRefGoogle Scholar
  98. 98.
    W.D. Kinney, On the Unstable Rolling Motions of Ships Resulting from Nonlinear Coupling with Pitch Including the Effect of Damping in Roll, Series 173, Issue 3 (Institute of Engineering Research, University of California, Berkeley, California, 1961)Google Scholar
  99. 99.
    K.S. Kula, An overview of roll stabilizers and systems for their control. Trans. Nav. Int. J. Mar. Navig. Saf. Sea Transp. 9(3), 405–414 (2015)CrossRefGoogle Scholar
  100. 100.
    B.S. Lee, D. Vassalos, An investigation into the stabilization effects of anti-roll tanks with flow obstructions. Int. Shipbuild. Prog. 43(433), 70–88 (1996)Google Scholar
  101. 101.
    D.Y. Lee, H.S. Choi, Study on sloshing in cargo tanks including hydroelastic effects. J. Mar. Sci. Technol. 4, 27–34 (1999)CrossRefGoogle Scholar
  102. 102.
    S.J. Lee, M.H. Kim, D.H. Lee, Y.S. Shin, Y.H. Kim, The effects of LNG-tank sloshing on the roll responses of LNG-carriers, in Proceedings of 16th International Conference on Offshore and Polar Engineering (ISOPE) (California, San Francisco, 2006), pp. 212–218Google Scholar
  103. 103.
    S.J. Lee, M.H. Kim, D.H. Lee, Y.S. Shin, The effects of tank sloshing on LNG-ship responses, in Proceedings of 26th ASME International Offshore Mechanical and Arctic Engineering Conference (San Diego, USA, 2007)Google Scholar
  104. 104.
    S.J. Lee, M.H. Kim, D.H. Lee, J.W. Kim, Y.H. Kim, The effects of LNG-tank sloshing on the global motions of LNG carriers. Ocean Eng. 34(1), 10–20 (2007)CrossRefGoogle Scholar
  105. 105.
    S.J. Lee, M.H. Kim, The Effects of inner-liquid motion on LNG vessel responses. ASME J. Offshore Mech. Arct. Eng. 132(2), 021101-8 (2010)CrossRefGoogle Scholar
  106. 106.
    M.L. Levadou, R. Van’t Veer, Parametric roll and ship design, in Proceedings of 9th International Conference on Stability of Ships and Ocean Vehicles, vol. 1 (Rio de Janeiro, Brazil, 2006), pp. 191–206Google Scholar
  107. 107.
    J.M. Lew, H. Kim, B.J. Choi, Development of passive and active anti-rolling tanks, in Proceedings of 5th International Society of Offshore and Polar Engineers, Pacific/Asia Offshore Mechanics Symposium, ISOPE-P-02-023 (Daejeon, Korea, 2002), p. 6Google Scholar
  108. 108.
    G.R.G. Lewison, Optimum design of passive roll stabilizer tanks, RINA Trans and Annual Report (1976), pp. 31–45Google Scholar
  109. 109.
    Y. Li, Computional fluid dynamics(CFD) study on free surface anti-roll tank and experimental validation. Master Thesis, Aalesund University College, Norway, 2015Google Scholar
  110. 110.
    Y. Li, K.H. Halse, J.F. Xu, Sloshing flows in a free surface anti-roll tank—Numerical simulations and experimental validation, in Proceedings of 13th International Symposium on PRActical Design of Ships and Other Floating Structures (Denmark, Copenhagen, 2016), p. 8Google Scholar
  111. 111.
    A.R.J.M. Lloyd, Sea Keeping-Ship Behavior in Rough Weather (Ellis Horwood Limited, Chichester, U.K., 1989)Google Scholar
  112. 112.
    A.P. Lui, Y.K. Lou, Dynamic coupling of a liquid tank system under transient excitations. Ocean Eng. 17(3), 263–277 (1990)CrossRefGoogle Scholar
  113. 113.
    H.R. Luth, R.P. Dallinga, Prediction of excessive rolling of cruise vessels in head and following waves, in Proceedings of 7th International Symposium on Practical Design of Ships and other Floating Structures Conference, vol. 11 (The Hague, 1999), pp. 625–632Google Scholar
  114. 114.
    Ŝ. Malenica, M. Zalar, X.B. Chen, Dynamic coupling of seakeeping and sloshing, in Proceedings of 13th International Offshore and Polar Engineering Conference (Hawaii, 2003), p. 7Google Scholar
  115. 115.
    O.A. Marzouk, A.H. Nayfeh, Mitigation of ship motion using passive and active anti-roll tanks, in Proceedings of ASME International Design Engineering Technical Conference and Computers and Information in Engineering Conference, DETC2007-35571, vol. 1 (Las Vegas, Nevada, 2007), pp. 215–229Google Scholar
  116. 116.
    O.A. Marzouk, A.H. Nayfeh, Control of ship roll using passive and active anti-roll tanks. Ocean Eng. 36, 661–671 (2009)CrossRefGoogle Scholar
  117. 117.
    N.W. McLachlan, Theory and Applications of Mathieu Functions (Oxford University Press, New York, 1947)zbMATHGoogle Scholar
  118. 118.
    J.J. McMullen, Ship stabilization: The growing demand and the economic case for flume stabilization, in The Motor Ship (1967), pp. 541–542Google Scholar
  119. 119.
    N.E. Mikelis, J.M.J. Journee, Experimental and numerical simulations of sloshing behavior in liquid cargo tanks and its effect on ship motions, in Proceedings of National Conference on Numerical Methods for Transient and Coupled Problems (Venice, Italy, 1984), pp. 9–13Google Scholar
  120. 120.
    N. Minorsky, Problems of anti-rolling stabilization of ships by the activated tank method. Am. Soc. Nav. Eng. 47, 87 (1935)Google Scholar
  121. 121.
    S. Mitra, C.Z. Wang, J.N. Reddy, B.C. Khoo, A 3D fully coupled analysis of nonlinear sloshing and ship motion. Ocean Eng. 39, 1–13 (2011)CrossRefGoogle Scholar
  122. 122.
    S. Mitra, L.V. Hai, L. Jing, B.C. Khoo, A fully coupled ship motion and sloshing analysis in various container geometries. J. Mar. Sci. Technol. 17(2), 139–153 (2012)CrossRefGoogle Scholar
  123. 123.
    R. Moaleji, Adaptive control for ship roll stabilization using anti-roll tanks. Ph.D. Thesis, University College London, Dept Mech Eng, London, UK, 2006Google Scholar
  124. 124.
    R. Moaleji, A.R. Greig, Inverse control for roll stabilization of ships using active tanks, in Proceedings of 7th IFAC Conference on Manoeuvring and Control of Marine Craft (Lisbon, 2006)Google Scholar
  125. 125.
    R. Moaleji, A.R. Greig, Roll reduction of ships using anti-roll n-tanks, in Proceedings of World Maritime Conference (London, 2006)Google Scholar
  126. 126.
    R. Moaleji, A.R. Greig, On the development of anti-roll tanks. Ocean Eng. 34, 103–121 (2007)CrossRefGoogle Scholar
  127. 127.
    B. Molin, F. Remy, S. Rigaud, Ch. de Jouette, LNG FPSO’s: frequency domain, coupled analysis of support and liquid cargo motion, in Proceedings of 10th International Maritime Association of the Mediterranean Conference (Rethymnon, Greece, 2002), p. 8Google Scholar
  128. 128.
    D.T. Mook, L.R. Marshall, A.H. Nayfeh, Subharmonic and superharmonic resonances in the pitch and roll modes of ship motions. J. Hydronaut. 8(1), 32–40 (1974)CrossRefGoogle Scholar
  129. 129.
    B.W. Nam, Y. Kim, Effect of sloshing on the motion response of LNG—FPSO in waves, in Proceedings of 22nd Workshop on Water Waves and Floating Bodies (Plitviz, Croatia, 2007), p. 4Google Scholar
  130. 130.
    B.W. Nam, Y. Kim, D.W. Kim, Y.S. Kim, Experimental and numerical studies on ship motion responses coupled with sloshing in waves. J. Ship Res. 53(2), 68–82 (2009)Google Scholar
  131. 131.
    T. Nasar, S.A. Sannasiraj, V. Sundar, Experimental study of liquid sloshing dynamics in a barge carrying tank. Fluid Dyn. Res. 40, 427–458 (2008)ADSzbMATHCrossRefGoogle Scholar
  132. 132.
    T. Nasar, S.A. Sannasiraj, V. Sundar, Sloshing pressure variation in a barge carrying tank. Ships Offshore Struct. 3(3), 185–203 (2008)zbMATHCrossRefGoogle Scholar
  133. 133.
    T. Nasar, S.A. Sannasiraj, V. Sundar, Wave induced sloshing pressure in a liquid tank under irregular waves. Part M J. Eng. Marit. Environ. 223(2), 145–161 (2008)zbMATHGoogle Scholar
  134. 134.
    T. Nasar, S. Sannasiraj, V. Sundar, Motion responses of barge carrying liquid tank. Ocean Eng. 37, 935–946 (2010)zbMATHCrossRefGoogle Scholar
  135. 135.
    T. Nasar, S. Sannasiraj, V. Sundar, Liquid sloshing dynamics in a barge carrying container subjected to random wave excitation. J. Nav. Archit. Mar. Eng. 9, 43–65 (2012)CrossRefGoogle Scholar
  136. 136.
    A.H. Nayfeh, On the undesirable roll characteristics of ships in regular seas. J. Ship Res. 32(2), 92–100 (1988)Google Scholar
  137. 137.
    A.H. Nayfeh, D.T. Mook, L.R. Marchall, Nonlinear coupling of pitch and roll modes in ship motions. J. Hydronaut. 7(4), 145–152 (1973)CrossRefGoogle Scholar
  138. 138.
    A.H. Nayfeh, D.T. Mook, L.R. Marshall, Perturbation energy approach for the development of the nonlinear equations of ship motion. J. Hydronaut. 8(4), 130–136 (1974)CrossRefGoogle Scholar
  139. 139.
    M.A.S. Neves, N. Pérez, O. Lorca, Experimental analysis on parametric resonance for two fishing vessels in head seas, in Proceedings of 6th International Ship Stability Workshop (Webb Institute, NY, USA, 2002)Google Scholar
  140. 140.
    M.A.S. Neves, C.A. Rodriguez, On unstable ship motions resulting from strong non-linear coupling. Ocean Eng. 33(14–15), 1853–1883 (2006)CrossRefGoogle Scholar
  141. 141.
    M.A.S. Neves, C.A. Rodriguez, Influence of nonlinearities on the limits of stability of ships rolling in head seas. Ocean Eng. 34(11–12), 1618–1630 (2007)CrossRefGoogle Scholar
  142. 142.
    M.A.S. Neves, C.A. Rodriguez, An investigation on roll parametric resonance in regular waves. Int. Shipbuild. Prog. 54(4), 207–225 (2007)Google Scholar
  143. 143.
    M.A.S. Neves, C.A. Rodriguez, Nonlinear aspects of coupled parametric rolling in head seas, in Proceedings of 10th International Symposium on Practical Design of Ships and Other Floating Structures, vol. 2 (Houston, Texas, 2007), pp. 699–706Google Scholar
  144. 144.
    M.A.S. Neves, C.A. Rodriguez, A coupled nonlinear mathematical model of parametric resonance of ships in head seas. Appl. Math. Model. 33(6), 2630–2645 (2009)MathSciNetzbMATHCrossRefGoogle Scholar
  145. 145.
    M.A.S. Neves, J.A. Merino, C.A. Rodriguez, A nonlinear model of parametric rolling stabilization by anti-roll tanks. Ocean Eng. 36(14), 1048–1059 (2009)CrossRefGoogle Scholar
  146. 146.
    J.N. Newman, Wave effects on vessels with internal tanks, in Proceedings of 20th Workshop on Water Waves and Floating Bodies (Spitsbergen, Norway, 2005), p. 4Google Scholar
  147. 147.
    C.S. Nielsen, U.D. Nielsen, Reducing roll motion by passive free surface tanks, in Proceedings of 33rd ASME International Conference on Ocean, Offshore and Arctic Engineering, OMAE2014-23299, vol. 7 (San Francisco, California, 2014), p. 12Google Scholar
  148. 148.
    I.G. Oh, A.H. Nayfeh, D.T. Mook, Theoretical and experimental study of the nonlinearity coupled heave, pitch, and roll motions of a ship in longitudinal waves, in Proceedings of 19th Symposium on Naval Hydrodynamics (Seoul, Korea, 1992), pp. 93–111Google Scholar
  149. 149.
    I.G. Oh, A.H. Nayfeh, D.T. Mook, A theoretical and experimental investigation of indirectly excited roll motion in ships. The nonlinear dynamics of ships. Phil. Trans. Math. Phys. Eng. Sci. 358(1771), 1853–1881 (2000)ADSMathSciNetzbMATHCrossRefGoogle Scholar
  150. 150.
    M. Palmquist, C. Nygren, Recording of head-sea parametric rolling on a PCTC, Technical report, (International Maritime Organization, 2004), Annex in IMO SLF 47/INF.5.2004Google Scholar
  151. 151.
    R. Pan, H. Davies, Responses of a non-linearly coupled pitch-roll ship model under harmonic excitation. Nonlinear Dyn. 9(4), 349–368 (1996)CrossRefGoogle Scholar
  152. 152.
    J.R. Paulling, The transverse stability of a ship in a longitudinal seaway. J. Ship Res. 4(4), 37–49 (1961)Google Scholar
  153. 153.
    J.R. Paulling, R.M. Rosenberg, On unstable ship motions resulting from nonlinear coupling. J. Ship Res. 3(1), 36–46 (1959)Google Scholar
  154. 154.
    M. Peric, T. Zorn, O. Moctar, T.E. Schellin, Y.S. Kim, Simulation of sloshing in LNG-tanks. ASME J. Offshore Mech. Arct. Eng. 131(3), 031101, 11 (2009)CrossRefGoogle Scholar
  155. 155.
    E. Peşman, H. Ölmez, M. Taylan, On the roll motion of a ship with passive anti-roll tank in regular longitudinal waves, in Proceedings of 2nd International Symposium on Naval Architecture and Maritime, pp. 531–554Google Scholar
  156. 156.
    T. Phairoh, J.K. Huang, Modeling and analysis of ship roll tank stimulator. Ocean Eng. 32(8–9), 1037–1053 (2005)CrossRefGoogle Scholar
  157. 157.
    T. Phairoh, J.K. Huang, Adaptive ship roll mitigation by using a U-tube tank. Ocean Eng. 34(3–4), 403–415 (2007)CrossRefGoogle Scholar
  158. 158.
    W.J. Pierson, L. Moscowitz, A proposed spectral form for fully developed wind seas based on the similarity theory of S A Kitaigorodskii. J. Geophys. Res. 69(24), 5181–5190 (1964)ADSCrossRefGoogle Scholar
  159. 159.
    W.S. Plank, G.F. Beardsley Jr., W.V. Burt, Experimental evaluation of a passive anti-roll tank system. Ocean Eng. 2(3), 131–139 (1972)CrossRefGoogle Scholar
  160. 160.
    W.G. Price, R.E.D. Bishop, Probability Theory of Ship Dynamics (Chapman and Hall, London, U.K., 1974)zbMATHGoogle Scholar
  161. 161.
    A.V. Ramana Reddy, V.A. Subramanian, A.S. Ramesh, Performance analysis of U-tube tank for roll stabilization. Int. J. Innov. Res. Dev. 1(10), 288–299 (2012)Google Scholar
  162. 162.
    F.E. Reed, Dynamic vibration absorbers and auxiliary mass dampers, chapter 6, in Shock and Vibration Handbook, ed. by C.M. Harris, C.E. Crede, vol. 1 (McGraw-Hill, NY, 1961)Google Scholar
  163. 163.
    G.N. Roberts, T.L. Barboza, Analysis of warship roll stabilization by controlled anti-roll tanks with the aid of digital simulation, in Proceedings of International Conference on CONTROL, Publ. No. 285, vol. 88 (Oxford, U.K., 1988), pp. 672–676Google Scholar
  164. 164.
    O.F. Rognebakke, O.M. Faltinsen, Coupling of sloshing and ship motions. J. Ship Res. 47(3), 208–221 (2003)Google Scholar
  165. 165.
    J.R. Saripilli, D. Sen, Numerical studies of coupling effect of sloshing on 3D ship motions. Int. J. Offshore Polar Eng. 27(1), 27–35 (2017)CrossRefGoogle Scholar
  166. 166.
    J.R. Saripilli, D. Sen, Numerical studies on sloshing loads using sloshing coupled ship motion algorithm, in Proceedings of 27th International Ocean and Polar Engineering (ISOPE) Conference (California, San Francisco, 2017), pp. 1093–1102Google Scholar
  167. 167.
    J.R. Saripilli, D. Sen, Numerical studies on effects of slosh coupling on ship motions and derived slosh loads. Appl. Ocean Res. 76, 71–87 (2018)CrossRefGoogle Scholar
  168. 168.
    D. Sen, J.R. Saripilli, Numerical studies on slosh-induced loads using coupled algorithm for sloshing and 3D ship motions, in Proceedings of ASME 36th International Conference on Ocean, Offshore and Arctic Engineering (Trondheim, Norway, 2017), pp. 1–9Google Scholar
  169. 169.
    Y.S. Shin, V.I. Belenky, J.R. Paulling, K.M. Weems, W.M. Lin, Criteria for parametric roll of large containerships in longitudinal seas, in Trans Joint Ship Production Symposium and Society of Naval Architects and Marine Engineers, vol. 112 (Washington, D.C., 2005), pp. 117–147Google Scholar
  170. 170.
    A. Shinkai, S. Monaka, M. Mano, M. Fuji, Numerical analysis of sloshing problems for the middle sized double hull tanker. J. Soc. Nav. Archit. Jpn. 176, 387–396 (1994)CrossRefGoogle Scholar
  171. 171.
    A. Shinkai, S. Tamia, Sloshing impact pressure induced on cargo oil tank walls on the middle-sized double hull tanker. Trans. Soc. Nav. Archit. West Jpn. 90, 91–98 (1995)Google Scholar
  172. 172.
    S.R. Silva, A. Turk, C.G. Soares, J. Prpić-Oršić, On the parametric rolling of container vessels. Brodo Gradnja 61(4), 347–358 (2010)Google Scholar
  173. 173.
    S.R. Silva, G. Vasquez, C.G. Soares, A. Maron, The stabilizing effect of U-tanks as passive anti-rolling devices, in Proceedings of ASME 30th International Conference on Ocean, Offshore and Arctic Engineering (Rio de Janeiro, Brazil, 2012), Paper No. OMAE2012-83501, pp. 479–490, 12Google Scholar
  174. 174.
    C. Stigter, The performance of U-tanks as a passive anti-rolling device, the royal institution of naval architects. Int. Shipbuild. Prog. ISP 13(144), 249–275 (1966)CrossRefGoogle Scholar
  175. 175.
    K.M. Taggart, Modelling of Sloshing in Free Surface Tanks for ShipMo3D Ship Motion Predictions, DRDC Atlantic ECR 2011-084, Defense, Research and Development Canada—Atlantic (2012), p. 64Google Scholar
  176. 176.
    K.M. Taggart, Modelling of U-tube tanks for ShipMo3D ship motion predictions, Canadian Coast Guard Major Crown Projects Directorate, External Client Report, DRDC Atlantic ECR 2011-300 (Ottawa, 2012), p. 40Google Scholar
  177. 177.
    H. Taguchi, H. Sawada, K. Tanizawa, A study on the complicated roll motion of a ship equipped with an anti-rolling tank, in Proceedings of 8th International Conference on Stability of Ships and Ocean Vehicles, Escuela Técnica Superior de Ingenieros Navales (Madrid, 2003), pp. 611–612Google Scholar
  178. 178.
    H. Takemoto, T. Ando, K. Abe, S. Oka, M. Komiya, S. Naito, Experimental study on sloshing impact loads of middle sized tankers with double hull. J. Soc. Nav. Archit. Jpn. 176, 399–410 (1994)CrossRefGoogle Scholar
  179. 179.
    B.U. Taskar, D. Dasgupta, V. Nagarajan, S. Chakraborty, A. Chattejee, O.P. Sha, CFD aided modelling of anti-rolling tanks towards more accurate ship dynamics. Ocean Eng. 92, 296–303 (2014)CrossRefGoogle Scholar
  180. 180.
    W. Thanyamanta, D. Molyneux, Prediction of stabilizing moments and effects of U-tube anti-roll tank geometry using CFD, in Proceedings of 31st ASME International Conference on Offshore Mechanics and Arctic Engineering, vol. 5 (Rio de Janeiro, Brazil, 2012), pp. 503–512Google Scholar
  181. 181.
    N. Themelis, K.J. Spyrou, Probabilistic assessment of resonant instability, in Proceedings of 9th International Stability of Ships and Ocean Vehicles (2006), pp. 37–48Google Scholar
  182. 182.
    K.K. Tikka, J.R. Paulling, Prediction of critical wave conditions for extreme vessel response in random seas, in Proceedings of 4th International Conference on Stability of Ships and Ocean Vehicles (Naples, Italy, 1990)Google Scholar
  183. 183.
    T.W. Treakle, A time domain numerical study of passive and active anti-roll tanks to reduce ship motion. MS Thesis, Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, 1998Google Scholar
  184. 184.
    N. Umeda, Probabilistic study on surf-riding of a ship in irregular following seas, in Proceedings of 4th International Conference on Stability of Ships and Ocean Vehicles, vol. 1 (Naples, Italy, 1990), pp. 336–343Google Scholar
  185. 185.
    N. Umeda, Y. Yamakoshi, Probability of ship capsizing due to pure loss of stability in irregular quartering seas. Nav. Archit. Ocean Eng. 30, 73–85 (1992) Soc. Nav. Arch. JpnGoogle Scholar
  186. 186.
    N. Umeda, M. Hamamoto, Y. Takashi, Y. Chiba, A. Matsuda, W. Sera, S. Suzuki, K. Spyrou, K. Watanabe, Model experiments of ship capsize in astern seas. J. Soc. Nav. Archit. Jpn. 177, 207–218 (1995)CrossRefGoogle Scholar
  187. 187.
    N. Umeda, H. Hashimoto, D. Vassalos, S. Urano, K. Okou, Nonlinear dynamics on parametric roll resonance with realistic numerical modelling. Int. Shipbuild. Prog. 51, 205–220 (2004)Google Scholar
  188. 188.
    N. Umeda, H. Hashimoto, S. Minegaki, A. Matsuda, An investigation of different methods for the prevention of parametric rolling. J Mar. Technol. Soc. 13, 16–23 (2008)CrossRefGoogle Scholar
  189. 189.
    E.F.G. Van Daalen, A.G. Van Doeveren, P.C.M. Driessen, C. Visser, Two-dimensional free surface anti-roll tank simulations with a volume of fluid based Navier-Stokes solver, Report No. 15306-1-OE (Maritime Research Institute, Netherlands, 1999)Google Scholar
  190. 190.
    E.F.G. Van Daalen, K.M.T. Kleefsman, J. Gerrits, H.R. Luth, A.E.P. Veldman, Anti-roll tank simulations with a volume of fluid (VOF) based Navier-Stokes solver, University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science (2001), p. 117Google Scholar
  191. 191.
    E.F.G. Van Daalen, M. Gunsing, J. Grasman, J. Remmert, Roll dynamics of a ship sailing in large amplitude head waves. J. Eng. Math. 89(1), 137–146 (2014)zbMATHCrossRefGoogle Scholar
  192. 192.
    J. Vasta, A.J. Giddings, A. Taplin, J.J. Stilwell, Roll stabilization by means of passive tanks. Trans. Soc. Nav. Archit. Mar. Eng. 69, 411–460 (1961)Google Scholar
  193. 193.
    J.H.G. Verhagen, L. van Wijngaarden, Non-linear oscillations of fluid in a container. J. Fluid Mech. 22, 737–751 (1965)ADSzbMATHCrossRefGoogle Scholar
  194. 194.
    J.H. Vugts, A comparative study on four different passive roll damping tanks—part II. Int. Shipbuild. Prog. 16, 212–223 (1969)CrossRefGoogle Scholar
  195. 195.
    Y. Watanabe, On the dynamic properties of the transverse instability of a ship due to pitching. J. Soc. Nav. Archit. Jpn. 53, 51–70 (1934)Google Scholar
  196. 196.
    P. Watts, On a method of reducing the rolling of ships at sea. Trans. Inst. Nav. Archit. 24, 165–191 (1883)Google Scholar
  197. 197.
    P. Watts, The use of water chambers for reducing the rolling of ships at sea. Trans. Inst. Nav. Archit. 26, 30 (1885)Google Scholar
  198. 198.
    W.S. Webster, Analysis of the control of activated antiroll tanks, in Proceedings of Annual Meeting of the Society of Naval Architects and Marine Engineering (New York, 1967), pp. 296–325Google Scholar
  199. 199.
    A.I. Xiaoyong, G. Li, H. Zhang, L. Liang, Natural period measurement of U-shape anti-roll tank using model experiment, in Proceedings of International Conference on Intelligent Mechatronics and Automation (Chengdu, China, 2004), pp. 704–707Google Scholar
  200. 200.
    A.I. Xiaoyong, L.I. Guobin, H. Zhang, L. Liang, Model experiment of anti-roll tank based on oscillation platform, in Proceedings of Society of Instrument and Control Engineers (SICE) Annual Conf, Article number: FPI-11-1 (Sapporo, Japan, 2004), pp. 2493–2498Google Scholar
  201. 201.
    S. Yamaguchi, A. Shinkai, An advanced adaptive control system for activated anti-rolling tank. ISPOE Int. J. Offshore Polar Eng. 5, 17–22 (1995)Google Scholar
  202. 202.
    S. Yamamoto, F. Kataoka, S. Shioda, Y. Ashitani, Study on impact pressure due to sloshing in midsized LNG carrier. Int. J. Offshore Polar Eng. 5(1), 10–16 (1995)Google Scholar
  203. 203.
    K.S. Youssef, S.A. Ragab, A.H. Nayfeh, D.T. Mook, Design of passive antiroll tanks for roll stabilization in the nonlinear range. Ocean Eng. 29, 177–192 (2002)CrossRefGoogle Scholar
  204. 204.
    K.S. Youssef, D.T. Mook, A.H. Nayfeh, S.S. Ragab, Roll stabilization by passive anti-roll tanks using an improved model of the tank-liquid motion. J. Vib. Control 9(7), 839–862 (2003)CrossRefGoogle Scholar
  205. 205.
    M. Zalar, Operating guidance for membrane type LNG carrier in partial filling condition, in SNAME Maritime Technology Conference (Houston, Texas, USA, 2005)Google Scholar
  206. 206.
    M. Zalar, P. Cambos, P. Besse, B. Le Gallo, Partial filling of membrane type LNG carriers, Bureau Veritas, Marine Division, 92077, Paris—La Défense Cedex, France (2005), p. 22Google Scholar
  207. 207.
    M. Zalar, Š. Malenica, L. Diebold, Selected hydrodynamic issues in design of large LNG carriers (Bureau Veritas, France, 2006), p. 8Google Scholar
  208. 208.
    D. Zhao, Z. Hu, G. Chen, X. Chen, X. Feng, Coupling analysis between vessel motion and internal nonlinear sloshing for FLNG applications. J. Fluids Struct. 76, 431–453 (2018)ADSCrossRefGoogle Scholar
  209. 209.
    W. Zhao, J. Yang, Z. Hu, L. Xiao, L. Tao, Coupling between roll motions of an FLNG vessel and internal sloshing. ASME J. Offshore Mech. Arct. Eng. 136(2), 10 (2014)CrossRefGoogle Scholar
  210. 210.
    W. Zhao, J. Yang, Z. Hu, L. Xiao, L. Tao, Hydrodynamics of a 2D vessel including internal sloshing flows. Ocean Eng. 84, 45–53 (2014)CrossRefGoogle Scholar
  211. 211.
    Z. Zhong, J.M. Falzarano, R.M. Fithen, Numerical study of U-tube passive anti-rolling tanks, in Proceedings of 8th International Offshore and Polar Engineering Conference, vol. 3 (Montreal, Canada, 1998), pp. 504–512Google Scholar
  212. 212.
    P.E. Ziegler, Anti-rolling tank design. MS Thesis, MIT, Cambridge, MA, 1975Google Scholar
  213. 213.
    K. Zou, J. Xu, A method determining ship motion with anti-roll tanks in time domain (in Chinese). Ship Build. China 57(1), 31–37 (2016)Google Scholar

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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringWayne State UniversityDetroitUSA

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