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Numerical analysis of pitch and rolling motions of trimaran in oblique waves

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Abstract

The coupled motion of roll and pitch is noticeable when trimaran sails in oblique head waves, which will lead to negative influence on the safety and comfort of navigation. In this paper, the numerical simulation of the trimaran's motion in oblique waves was carried out by open source CFD tool OpenFOAM, and the computed motion response was analyzed to study the characteristics of the torsional rolling. The OpenFOAM-based hybrid method used in this paper was briefly introduced first, and the numerical method was validated and verified by both the grid convergence test and the comparison with experimental result. Both the amplitude and the time history of the computed motion are used for analysis, and the influence of wave steepness, wave heading and forward speed of trimaran on the characteristics of torsional rolling was investigated. The result shows that the large wave steepness and the low forward speed will lead to dangerous torsional rolling motion of trimaran in oblique waves, and the dangerous condition is mainly caused by nonlinear rolling motion; the motion state is more sensitive and changing obviously with other factors at large wave steepness wave conditions.

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References

  1. Brizzolara S, Capasso M, Ferrando M, Bonvino CP, Francescutto A (2003) Trimaran hull design for fast ferry application. In: Int. conference on ships design and shipping, NAV2003

  2. Davis MR, Holloway DS (2007) A comparison of the motions of trimarans, catamarans and monohulls. Aust J Mech Eng 4(2):183–195

    Article  Google Scholar 

  3. Bertorello C, Bruzzone D, Cassella P, Zotti I (2001) Trimaran model test results and comparison with different high speed craft. Pract Des Ships Other Float Struct 1:143–149

    Article  Google Scholar 

  4. Ghadimi P, Nazemian A, Ghadimi A (2019) Numerical scrutiny of the influence of side hulls arrangement on the motion of a trimaran vessel in regular waves through CFD analysis. J Braz Soc Mech Sci Eng 41(1):1–10. https://doi.org/10.1007/s40430-018-1505-x

    Article  Google Scholar 

  5. Fang MC, Too GY (2006) The effect of side hull arrangements on the motions of the trimaran ship in waves. Nav Eng J 118(1):27–37

    Article  Google Scholar 

  6. Li A, Li Y (2019) Numerical and experimental study on seakeeping performance of a high-speed trimaran with T-foil in head waves. Polish Maritime Res 26(3):65–77

    Article  Google Scholar 

  7. Vakilabadi KA, Khedmati MR, Seif MS (2014) Experimental study on heave and pitch motion characteristics of a wave-piercing trimaran. Trans FAMENA 38(3):13–26

    Google Scholar 

  8. Wei YF, Duan WY, Ma S (2007) Trimaran motions and hydrodynamic interaction of side hulls. In: 9th international conference on fast sea transportation, FAST, pp 413–421

  9. Ma S, Duan WY, Wang B, Wang RF (2012) Prediction of ship motions of trimaran in oblique regular wave. Chin J Hydrody 2:224–230

    Google Scholar 

  10. Lu XP, Li Y, Dong ZS (2005) A research summary on high speed trimaran. J Naval Univ Eng 2:43–48

    Google Scholar 

  11. Sato Y, Orihara H, Miyata H (2006) Practical application of two CFD codes for ship motions in arbitrary waves. In: 26th symp. Naval Hydro., Rome

  12. Sato Y, Uzawa K, Miyata H (2007) Validation of motion prediction method for trimaran vessels. In: 9th int. conf. numer. Ship Hydro., Ann Arbor

  13. Nowruzi L, Enshaei H, Lavroff J, Kianejad SS, Davis MR (2020) CFD simulation of motion responses of a trimaran in regular head waves. Int J Marit Eng 162:91–106

    Google Scholar 

  14. Wu CS, Zhou DC, Gao L, Miao QM (2011) CFD computation of ship motions and added resistance for a high speed trimaran in regular head waves. Int J Naval Archit Ocean Eng 3(1):105–110

    Article  Google Scholar 

  15. Askarian Khoob A, Ketabdari MJ (2020) Short-term prediction and analysis of wave-induced motion and load responses of a wave-piercing trimaran. Brodogradnja: Teorija i praksa brodogradnje i pomorske tehnike 71(2):123–142

    Article  Google Scholar 

  16. Nayfeh AH, Mook DT, Marshall LR (1973) Nonlinear coupling of pitch and roll modes in ship motions. J Hydronaut 7(4):145–152

    Article  Google Scholar 

  17. Sayed M, Hamed YS (2011) Stability and response of a nonlinear coupled pitch-roll ship model under parametric and harmonic excitations. Nonlinear Dyn 64(3):207–220

    Article  MathSciNet  Google Scholar 

  18. Li W, Tang Y, Wang B, Li Y (2018) Internal resonances for the heave roll and pitch modes of a spar platform considering wave and vortex exciting loads in heave main resonance. J Mar Sci Appl 17(2):265–272

    Article  Google Scholar 

  19. Li W, Tang Y, Liu L, Liu S, Cai R (2017) Heave-roll-pitch coupled nonlinear internal resonance response of a spar platform considering wave and vortex exciting loads. J Ocean Univ China 16(2):209–222

    Article  Google Scholar 

  20. Zhou L, Chen F (2008) Stability and bifurcation analysis for a model of a nonlinear coupled pitch–roll ship. Math Comput Simul 79(2):149–166

    Article  MathSciNet  Google Scholar 

  21. Kamel MM (2007) Bifurcation analysis of a nonlinear coupled pitch–roll ship. Math Comput Simul 73(5):300–308

    Article  MathSciNet  Google Scholar 

  22. Hong Z (2016) Nonlinear dynamics research of the ship pitching and rolling coupled motions. Jiangsu University of Science and Technology. (In Chinese)

  23. Gong J, Yan S, Ma Q, Li Y (2020) Added resistance and seakeeping performance of trimarans in oblique waves. Ocean Eng 216:107721

    Article  Google Scholar 

  24. Ma QW, Yan S (2009) QALE-FEM for numerical modelling of non-linear interaction between 3D moored floating bodies and steep waves. Int J Numer Meth Eng 78(6):713–756

    Article  Google Scholar 

  25. Roache PJ (1997) Quantification of uncertainty in computational fluid dynamics. Ann Rev Fluid Mech 29(29):123–160

    Article  MathSciNet  Google Scholar 

  26. Roache PJ (1997) Quantification of uncertainty in computational fluid dynamics. Annu Rev Fluid Mech 29(1):123–160

    Article  MathSciNet  Google Scholar 

  27. Kim M, Hizir O, Turan O, Incecik A (2017) Numerical studies on added resistance and motions of KVLCC2 in head seas for various ship speeds. Ocean Eng 140:466–476

    Article  Google Scholar 

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Funding

This work was supported by Natural Science Foundation of Shanghai (19ZR1422500) and National Natural Science Foundation of China (CN) (51979157).

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Correspondence to Yunbo Li.

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Fu, Z., Li, Y., Gong, J. et al. Numerical analysis of pitch and rolling motions of trimaran in oblique waves. J Mar Sci Technol 27, 77–91 (2022). https://doi.org/10.1007/s00773-021-00816-y

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  • DOI: https://doi.org/10.1007/s00773-021-00816-y

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