A Study on the Effects of Small Bottom Stiffeners on Sloshing Resonance

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Practical Design of Ships and Other Floating Structures (PRADS 2019)

Abstract

Internal structures of the liquid cargo tanks, such as horizontal girders and small longitudinal stiffeners may affect sloshing behaviors in lower filling conditions. Since the assessment of sloshing load in shallow liquid conditions is required by the classification societies for the structural dimensioning, the present study investigates the impact of the tiny bottom stiffeners on the resonance behaviors of the sloshing. For this purpose, sloshing resonant period and dam** in rectangular tanks were obtained from sloshing free oscillation tests using a clean tank and a tank with small bottom stiffeners. Both experimental study and numerical simulations based on Moving Particle Semi-implicit (MPS) method were carried out. Initially, the numerical results are validated. After that, a series of simulations were performed considering different combinations of stiffeners sizes and a range of filling ratio that included very shallow liquid condition. The results show that in clean tanks, the resonant period obtained numerically agreed well with analytical ones. The stiffeners on the bottom increase resonant period, but its value is slightly lower than the analytically obtained considering the filling height as the difference between the real filling height and stiffener height. Finally, two distinct behaviors regarding the dam** were identified.

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References

  1. Arai, M., Cheng, L.-Y., Inoue, Y.: 3D numerical simulation of impact load due to liquid cargo sloshing. J. Soc. Naval Archit. Jpn 171, 177–184 (1992)

    Google Scholar 

  2. Choun, Y.-S., Yun, C.-B.: Sloshing characteristics in rectangular tanks with a submerged block. Comput. Struct. 61(3), 401–413 (1996)

    Article  Google Scholar 

  3. Cho, J.-R., Lee, H.-W.: Numerical study on liquid sloshing in baffled tank by nonlinear finite element method. Comput. Methods Appl. Mech. Eng. 193(23–26), 2581–2598 (2004)

    Google Scholar 

  4. Faltinsen, O.M., Firoozkoohi, R., Timokha, A.N.: Analytical modelling of liquid sloshing in a two-dimensional rectangular tank with a slat screen. J. Eng. Math. 70, 63–109 (2011)

    Article  Google Scholar 

  5. Lu, L., Jiang, S.-C., Zhao, M., Tang, G.-Q.: Two-dimensional viscous numerical simulation of liquid sloshing in rectangular tank with/without baffles and comparison with potential flow solutions. Ocean Eng. 108, 662–677 (2015)

    Article  Google Scholar 

  6. Cheng, L.-Y., Bellezi, C.A., Amaro Junior, R.A., Arai, M., Okada, T.: A numerical study on the effects of the perforated swash bulkheads on sloshing behaviors of liquid cargo tanks. In: The Proceedings of the 26th International Ocean and Polar Engineering Conference (ISOPE-2016), Rhodes, Greece (2016)

    Google Scholar 

  7. Xue, M.-A., Zheng, J., Lin, P., Yuan, X.: Experimental study on vertical baffles of different configurations in suppressing sloshing pressure. Ocean Eng. 136, 178–189 (2017)

    Article  Google Scholar 

  8. Faltinsen, O.M., Timokha, A.N.: Sloshing. Cambridge University Press, Cambridge (2009)

    MATH  Google Scholar 

  9. Koshizuka, S., Tamako, H., Oka, Y.: A particle method for incompressible viscous flow with fluid fragmentation. J. Comput. Fluid Dyn. 4, 29–46 (1995)

    Google Scholar 

  10. Koshizuka, S., Oka, Y.: Moving particles semi-implicit method for fragmentation of incompressible fluid. Nucl. Sci. Eng. 123, 421–434 (1996)

    Article  Google Scholar 

  11. Tsukamoto, M.M., Cheng, L.-Y., Motezuki, F.K.: Fluid interface detection technique based on neighborhood particles centroid deviation (NPCD) for particle methods. Int. J. Numer. Methods Fluids 82(3), 148–168 (2016)

    Article  MathSciNet  Google Scholar 

  12. Cheng, L.-Y., Amaro Junior, R.A., Bellezi, C.A.: Wave impact loads by MPS method with an improved pressure source term. In: Proceedings of the 2018 Autumn Meeting of the Japan Society of Naval Architects and Ocean Engineers, Chiba, Japan (2018)

    Google Scholar 

  13. Wang, L., Jiang, Q., Zhang, C.: Improvement of moving particle semi-implicit method for simulation of progressive water waves. Int. J. Numer. Meth. Fluids 85, 69–89 (2017)

    Article  MathSciNet  Google Scholar 

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Correspondence to Liang-Yee Cheng .

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Cheng, LY. et al. (2021). A Study on the Effects of Small Bottom Stiffeners on Sloshing Resonance. In: Okada, T., Suzuki, K., Kawamura, Y. (eds) Practical Design of Ships and Other Floating Structures. PRADS 2019. Lecture Notes in Civil Engineering, vol 63. Springer, Singapore. https://doi.org/10.1007/978-981-15-4624-2_60

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  • DOI: https://doi.org/10.1007/978-981-15-4624-2_60

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4623-5

  • Online ISBN: 978-981-15-4624-2

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