Approximation Method for Flare Slamming Analysis of Large Container Ships in Parametric Rolling Conditions

Abstract

Since the research of flare slamming prediction is seldom when parametric rolling happens, we present an efficient approximation method for flare slamming analysis of large container ships in parametric rolling conditions. We adopt a 6-DOF weakly nonlinear time domain model to predict the ship motions of parametric rolling conditions. Unlike previous flare slamming analysis, our proposed method takes roll motion into account to calculate the impact angle and relative vertical velocity between ship sections on the bow flare and wave surface. We use the Wagner model to analyze the slamming impact forces and the slamming occurrence probability. Through numerical simulations, we investigate the maximum flare slamming pressures of a container ship for different speeds and wave conditions. To further clarify the mechanism of flare slamming phenomena in parametric rolling conditions, we also conduct real-time simulations to determine the relationship between slamming pressure and 3-DOF motions, namely roll, pitch, and heave.

Keywords

Flare slamming / Approximation method / Parametric rolling / Asymmetric effects / Container ship

References

[1] Bulian Gabriele. Nonlinear parametric rolling in regular waves—a general procedure for the analytical approximation of the GZ curve and its use in time domain simulations. Ocean Engineering, 2005, 32(3-4): 309-330

[2] Chen SN. Study on the slamming loads of large container vessels, 2012, Harbin, China: Master thesis, Harbin Engineering University, 68-82

[3] Cummins WE. The impulse response function and ship motions. Schiffstechnik, 1962, 47(9): 101-109

[4] Dai Y, Shen J, Song J. Ship wave loads, 2007, Beijing, China: National Defense Industry Press

[5] Hong SY, Kim KH, Kim BW (2015) An experimental investigation on bow slamming loads on an ultra-large container ship. 7th International Conference on Hydroelasticity in Marine Technology, Split, Croatia, 229–244

[6] Journee JMJ. Theoretical manual of SEAWAY, 2001, Delft, the Netherlands: Delft University of Technology Ship hydromechanics Laboratory

[7] Kim Yonghwan, Kim Jung-Hyun. Benchmark study on motions and loads of a 6750-TEU containership. Ocean Engineering, 2016, 119: 262-273

[8] Lin Y, Ma N, Wang D, Gu X (2018) Numerical prediction and experimental validation of slamming load for large container ship undergoing parametric rolling motion. International Conference on Ocean, Offshore and Arctic Engineering, Madrid, Spain

[9] Neves M.A.S., Pérez N.A., Valerio L. Stability of small fishing vessels in longitudinal waves. Ocean Engineering, 1999, 26(12): 1389-1419

[10] Ogawa A, Kasai H. On the mathematical model of manoeuvring motion of ships. Int Shipbuild Prog, 1978, 25(292): 306-319

[11] Rajendran Suresh, Guedes Soares C. Numerical investigation of the vertical response of a containership in large amplitude waves. Ocean Engineering, 2016, 123: 440-451

[12] Rajendran Suresh, Fonseca Nuno, Guedes Soares C. A numerical investigation of the flexible vertical response of an ultra large containership in high seas compared with experiments. Ocean Engineering, 2016, 122: 293-310

[13] Shin YS, Belenky VL, Pauling JR, Weems KM, Lin WM. Criteria for parametric roll of large container ships in longitudinal seas, 2004, Washington DC., USA: SNAME Annual Meeting

[14] Skejic Renato, Faltinsen Odd M. A unified seakeeping and maneuvering analysis of ships in regular waves. Journal of Marine Science and Technology, 2008, 13(4): 371-394

[15] Spanos D, Papanikolaou A. Numerical simulation of parametric roll in head seas. Int Shipbuild Prog, 2007, 54: 249-267

[16] Stavovy AB, Chuang SL (1976) Analytical determination of slamming pressures for high-speed vehicles in waves. J Ship Res 20(4):190–198.

[17] Wagner H (1932) The phenomena of impact and planning on water. National Advisory Committee for Aeronautics, Translation 1366, Washington, D.C. ZAMM, 12 (4): 193–215

[18] Wang Shan, Guedes Soares C. Experimental and numerical study of the slamming load on the bow of a chemical tanker in irregular waves. Ocean Engineering, 2016, 111: 369-383

[19] Wang Shan, Zhang Hui Dong, Guedes Soares C. Slamming occurrence for a chemical tanker advancing in extreme waves modelled with the nonlinear Schrödinger equation. Ocean Engineering, 2016, 119: 135-142

[20] Yu L, Ma N, Gu X. Study on parametric roll and its rudder stabilization based on unified seakeeping and maneuvering model, 2012, Athens, Greece: 11th Internationalconference on the Stability of Ships and Ocean Vehicles, 173-193