Abstract
Water entry problems represent complex multiphase flows involving air, water, and structure interaction, occurring rapidly in rough seas, and potentially effecting structural integrity of floating structures. This paper experimentally investigates asymmetric slamming loads acting on a 3-D elastic wedge section. The specimen, featuring two different bottom plates (stiffened and unstiffened), each 4 mm thick, aims to assess the effect of structural stiffness on dynamic loads. The experiments are conducted at different drop heights of 25 cm and 50 cm and varying heel angles from 5° to 25°. The paper describes the experimental conditions, including wedge geometry, material properties, and the test plan. The study explores the influence of heel angle on impact acceleration, revealing an increase in peak acceleration with a higher inclination angle, particularly in the vertical direction. Additionally, the hydrodynamic pressure resulting from asymmetric slamming is presented. The pressure results analyzed and compared at different locations along the length of the wedge. The experimental findings indicate that, despite the leeward side (stiffened) experiencing a smaller hydrodynamic load, the heel angle significantly affects pressure results on the windward side (unstiffened), leading to a more pronounced dynamic response. The time history of pressure results emphasizes the effect of elastic vibrations, particularly noticeable on the unstiffened bottom plate. This study contributes to a deeper understanding of asymmetric slamming on aluminum structures, facilitating the enhancement of mathematical models and the validation of numerical simulations.
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References
von Karman Th. The impact on seaplane floats during landing [R]. NACA Technical Note NACA-TN-32, Washington DC, USA, 1929.
Wagner H. Über Stoß- und Gleitvorgänge an der Oberfläche von Flüssigkeiten [J]. Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 1932, 12(4): 193–215.
Vorus W. S. A flat cylinder theory for vessel impact and steady planing resistance [J]. Journal of Ship Research, 1996, 40(2): 89–106.
Mei X., Liu Y., Yue D. K. On the water impact of general two-dimensional sections [J]. Applied Ocean Research, 1999, 21(1): 1–5.
Korobkin A. A., Iafrati A. Hydrodynamic loads during initial stage of floating body impact [J]. Journal of Fluids and Structures, 2005, 21(4): 413–27.
Yettou E. M., Desrochers A., Champoux Y. A new analytical model for pressure estimation of symmetrical water impact of a rigid wedge at variable velocities [J]. Journal of Fluids and Structures, 2007, 23(3): 501–22.
Hosseinzadeh S., Khorasanchi M., Seif M. S. Investigation of planing vessels motion using nonlinear strip theory–An experimental and numerical study [J]. Ships and Offshore Structures, 2019, 14(7): 684–97.
Tassin A., Korobkin A. A., Cooker M. J. On analytical models of vertical water entry of a symmetric body with separation and cavity initiation [J]. Applied Ocean Research, 2014, 48: 33–41.
Zhao R., Faltinsen O. Water entry of two-dimensional bodies [J]. Journal of Fluid Mechanics, 1993, 246: 593–612.
Khabakhpasheva T. I., Korobkin A. A. Elastic wedge impact onto a liquid surface: Wagner’s solution and approximate models [J]. Journal of Fluids and Structures, 2013, 36: 32–49.
Shams A., Porfiri M. Treatment of hydroelastic impact of flexible wedges [J]. Journal of Fluids and Structures, 2015, 57: 229–46.
Sun Z., Korobkin A., Sui X. P. et al. A semi-analytical model of hydroelastic slamming [J]. Journal of Fluids and Structures, 2021, 101: 103200.
Shams A., Zhao S., Porfiri M. Hydroelastic slamming of flexible wedges: Modeling and experiments from water entry to exit [J]. Physics of Fluids, 2017, 29(3): 03107.
Jalalisendi M., Porfiri M. Water entry of cylindrical shells: Theory and experiments [J]. AIAA Journal, 2018, 56(11): 4500–4514.
Sengupta D., Show T. K., Hirdaris S. et al. A semi analytic method for the analysis of the symmetric hydroelastic response of a container ship under slamming and green water loads [J]. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 2023, 17: 14750902231165808.
Panciroli R., Abrate S., Minak G. et al. Hydroelasticity in water-entry problems: Comparison between experimental and SPH results [J]. Composite Structures, 2012, 94(2): 532–539.
Wang S., Soares C. G. Numerical study on the water impact of 3D bodies by an explicit finite element method [J]. Ocean Engineering, 2014, 78: 73–88.
Yang L., Sun T. Z., Wei Y. J. et al. Hydroelastic analysis of water entry of deformable spheres [J]. Journal of Hydrodynamics, 2021, 33(4): 821–832.
Yan D., Hosseinzadeh S., Lakshmynarayanana A. et al. Comparative study on numerical hydroelastic analysis of impact-induced loads [C]. Proceedings of the 23rd Numerical Towing Tank Symposium, Mülheim, Germany, 2021.
Hosseinzadeh S., Topa A., Tabri K. A numerical sensitivity analysis of fluid-structure interaction simulations on slamming loads and responses [J]. IOP Conference Series: Materials Science and Engineering, 2023, 1288(1): 012017.
Saincher S., Srivastava K., Vijayakumar R. et al. Application of IITM-RANS3D to free-fall water entry of prismatic and non-prismatic finite wedges [J]. Journal of Hydrodynamics, 2023, 35(3): 417–30.
Maki K. J., Lee D., Troesch A. W. et al. Hydroelastic impact of a wedge-shaped body [J]. Ocean Engineering, 2011, 38(4): 621–629.
Wang S., Guedes Soares C. Hydroelastic analysis of a rectangular plate subjected to slamming loads [J]. Journal of Marine Science and Application, 2017, 16: 405–416.
Truong D. D., Jang B. S., Ju H. B. et al. Prediction of slamming pressure considering fluid-structure interaction. Part I: Numerical simulations [J]. Ships and Offshore Structures, 2022, 17(1): 7–28.
Truong D. D., Jang B. S., Janson C. E. et al. Benchmark study on slamming response of flat-stiffened plates considering fluid-structure interaction [J]. Marine Structures, 2021, 79: 103040.
Hosseinzadeh S., Tabri K. Hydroelastic effects of slamming impact loads during free-fall water entry [J]. Ships and Offshore Structures, 2021, 16(Supp1.): 68–84.
Yan D., Mikkola T., Kujala P. et al. Hydroelastic analysis of slamming induced impact on stiff and flexible structures by two-way CFD-FEA coupling [J]. Ships and Offshore Structures, 2023, 18(9): 1300–1312.
Yan D., Mikkola T., Lakshmynarayanana A. et al. A study into the FSI modelling of flat plate water entry and related uncertainties [J]. Marine Structures, 2022, 86: 103296.
Hosseinzadeh S., Tabri K., Topa A. et al. Slamming loads and responses on a non-prismatic stiffened aluminium wedge: Part II. Numerical simulations [J]. Ocean Engineering, 2023, 279: 114309.
Xu L., Troesch A. W., Peterson R. Asymmetric hydrodynamic impact and dynamic response of vessels [J]. Journal of Offshore Mechanics and Arctic Engineering, 1999, 121(2): 83–89..
Wang S., Soares C. G. Asymmetrical water impact of two-dimensional wedges with roll angle with multi-material Eulerian formulation [J]. International Journal of Maritime Engineering, 2014, 156(2A): A115–A130.
Krastev V. K., Facci A. L., Ubertini S. Asymmetric water impact of a two dimensional wedge: A systematic numerical study with transition to ventilating flow conditions [J]. Ocean Engineering, 2018, 147: 386–98.
Hosseinzadeh S., Izadi M., Tabri K. Free fall water entry of a two-dimensional asymmetric wedge in oblique slamming: A numerical study [C]. The 39th InInternational Conference on Offshore Mechanics and Arctic Engineering, Online/Virtual Conference, 2020.
Mesa J. D., Maki K. J. Hydroelastic assessment of different high-speed-vessel stiffened panel designs [J]. Naval Engineers Journal, 2018, 130(3): 107–116.
Izadi M., Ghadimi P., Fadavi M. et al. Hydroelastic analysis of water impact of flexible asymmetric wedge with an oblique speed [J]. Meccanica, 2018, 53: 2585–2617.
**e H., Liu F., Tang H. et al. Numerical study on the dynamic response of a truncated ship-hull structure under asymmetrical slamming [J]. Marine Structures, 2020, 72: 102767.
Wang K., Ma X., Bai W. et al. Numerical simulation of water entry of a symmetric/asymmetric wedge into waves using OpenFOAM [J]. Ocean Engineering, 2021, 227: 108923.
Tavakoli S., Hirdaris S. The hydroelastic slamming in oblique seas [C]. International Conference on Offshore Mechanics and Arctic Engineering, Melbourne, Australia, 2023.
Judge C., Troesch A., Perlin M. Initial water impact of a wedge at vertical and oblique angles [J]. Journal of Engineering Mathematics, 2004, 48: 279–303.
Barjasteh M., Zeraatgar H., Javaherian M. J. An experimental study on water entry of asymmetric wedges [J]. Applied Ocean Research, 2016, 58: 292–304.
Hosseinzadeh S., Tabri K. Free-fall water entry of a variable deadrise angle aluminium wedge: An experimental study [C]. Proceedings of the 8th International Conference on Marine Structures, Trondheim, Norway, 2021.
Shams A., Jalalisendi M., Porfiri M. Experiments on the water entry of asymmetric wedges using particle image velocimetry [J]. Physics of Fluids, 2015, 27(2): 027103.
Russo S., Jalalisendi M., Falcucci G. et al. Experimental characterization of oblique and asymmetric water entry [J]. Experimental Thermal and Fluid Science, 2018, 92: 141–161.
Lin Y., Ma N., Gu X. et al. Experimental study on the asymmetric impact loads and hydroelastic responses of a very large container ship [J]. International Journal of Naval Architecture and Ocean Engineering, 2020, 12: 226–240.
**e H., Dai X., Ren H. et al. Experimental characterization on slamming loads of a truncated ship bow under asymmetrical impact [J]. Ocean Engineering, 2023, 284: 115195.
**e H., Peng H., Liu F. et al. Hydroelastic analysis of an elastic thin-walled structure obliquely impacting a calm water surface [J]. Thin-Walled Structures, 2024, 26: 111638.
Hosseinzadeh S., Tabri K., Hirdaris S. et al. Slamming loads and responses on a non-prismatic stiffened aluminium wedge: Part I. Experimental study [J]. Ocean Engineering, 2023, 279: 114510.
Acknowledgements
This work was supported by the Estonian Research Council (Grant No. PRG1820). The authors would also like to thank the staff of the Marine Technology Competence Center at Tallinn University of Technology (TALTECH MARTE) for their valuable support of the experimental study.
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Biography: Saeed Hosseinzadeh (1990-), Male, Ph. D.
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Hosseinzadeh, S., Tabri, K. Experimental study on the dynamic response of a 3-D wedge under asymmetric impact. J Hydrodyn 36, 263–274 (2024). https://doi.org/10.1007/s42241-024-0023-9
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DOI: https://doi.org/10.1007/s42241-024-0023-9