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Hydroelastic analysis of a rectangular plate subjected to slamming loads

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Abstract

A hydroelastic analysis of a rectangular plate subjected to slamming loads is presented. An analytical model based on Wagner theory is used for calculations of transient slamming load on the ship plate. A thin isotropic plate theory is considered for determining the vibration of a rectangular plate excited by an external slamming force. The forced vibration of the plate is calculated by the modal expansion method. Analytical results of the transient response of a rectangular plate induced by slamming loads are compared with numerical calculations from finite element method. The theoretical slamming pressure based on Wagner model is applied on the finite element model of a plate. Good agreement is obtained between the analytical and numerical results for the structural deflection of a rectangular plate due to slamming pressure. The effects of plate dimension and wave profile on the structural vibration are discussed as well. The results show that a low impact velocity and a small wetted radial length of wave yield negligible effects of hydroelasticity.

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References

  • Bereznitski A, 2001. Slamming: the role of hydroelasticity. International Shipbuilding Progress, 48, 333–351.

    Google Scholar 

  • Bishop RED, Price WG, 1979. Hydroelasticity of ships. Cambridge University Press, London, 88–92.

    Google Scholar 

  • Chuang SL, 1966. Slamming of rigid wedge-shaped bodies with various deadrise angles. Report No. DTMB-2268. David Taylor Model Basin, Structural Mechanics Lab., Washington DC.

    Book  Google Scholar 

  • Corak M, Parunov J, Guedes Soares C, 2015. Probabilistic load combination factors of wave and whipping bending moments. Journal of Ship Research, 59(1), 11–30. DOI: https://doi.org/10.5957/JOSR.59.1.140052

    Article  Google Scholar 

  • Faltinsen OM, 1997. The effect of hydroelasticity on ship slamming. Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences, 355(1724), 575–591. DOI: 10.1098/rsta.1997.0026

    Article  MATH  Google Scholar 

  • Faltinsen OM, 1999. Water entry of a wedge by hydroelastic orthotropic plate theory. Journal of Ship Research, 43, 180–193.

    Google Scholar 

  • Faltinsen OM, 2000. Hydroelastic slamming. Journal of Marine Science and Technology, 5(2), 49–65. DOI: https://doi.org/10.1007/s007730070011

    Article  Google Scholar 

  • Faltinsen OM, Kvalsvold J, Aarsnes JV, 1997. Water impact on a horizontal elastic plate. Journal of Marine Science and Technology, 2(2), 87–100. DOI: https://link.springer.com/article/10.1007/BF02491523

    Article  Google Scholar 

  • Hirdaris SE, Temarel P, 2009. Hydroelasticity of ships: recent advances and future trends. Journal of Engineering for the Maritime Environment, 223(3), 305–330. DOI: 10.1243/14750902JEME160

    Google Scholar 

  • Keane AJ, Temarel P, Wu XJ, Wu Y, Chalmers DW, Keane AJ, Nicholson K, Incecik A, Hylarides S, Beukelman W, 1991. Hydroelasticity of non-beamlike ships in waves. Philosophical Transactions: Physical Sciences and Engineering, 339–355. DOI: 10.1098/rsta.1991.0018

    Google Scholar 

  • Khabakhpasheva TI, 2006. Impact of a surface wave on an elastic hull. Fluid Dynamics, 41(3), 424–433. DOI: https://link.springer.com/article/10.1007/s10697-006-0059-2

    Article  MathSciNet  MATH  Google Scholar 

  • Khabakhpasheva TI, Korobkin AA, 2013. Elastic wedge impact onto a liquid surface: Wagner’s solution and approximate models. Journal of Fluids and Structures, 36, 32–49. DOI: https://doi.org/10.1016/j.jfluidstructs.2012.08.004

    Article  Google Scholar 

  • Korobkin A, Gueret R, Malenica S, 2006. Hydroelastic coupling of beam finite element model with Wagner theory of water impact. Journal of Fluid and Structures, 22(4), 493–504. DOI: https://doi.org/10.1016/j.jfluidstructs.2006.01.001

    Article  Google Scholar 

  • Korobkin, AA, 1998. Wave impact on the center of an Euler beam. Journal of Applied Mathematics and Technical Physics, 39(5), 770–781. DOI: https://link.springer.com/article/10.1007/BF02468049

    MathSciNet  MATH  Google Scholar 

  • Kvalsvold J, Faltinsen OM, 1995. Hydroelastic modelling of wetdeck slamming on multihull vessels. Journal of Ship Research, 39, 225–239. DOI: https://trid.trb.org/view.aspx?id=456322

    Google Scholar 

  • Lakitosh F, Ananthakrishnan P, 2012. Analysis of ship hull plate vibrations induced by wave and slamming loads. 31st International Conference on Ocean, Offshore and Arctic Engineering, 289–298.

    Google Scholar 

  • Lloyd PM, Stansby PK, 1999. Slam forces and pressures on a flat plate due to impact on a wave crest. International Workshop on Water Waves and Floating Bodies, 92–94.

    Google Scholar 

  • Lu CH, He YS, Wu GX, 2000. Coupled analysis of nonlinear interaction between fluid and structure during impact. Journal of Fluid and Structures, 14, 127–146. DOI: https://doi.org/10.1006/jfls.1999.0257

    Article  Google Scholar 

  • Luo H, Zhao Z, Xie P, Wu H, Li X, 2014. Experimental and numerical investigation on hydroelastic impact of one free-drop wedge with aluminum stiffened panels. Proc. OCEANS 2014, Taipei, China, 1–7.

    Google Scholar 

  • Luo HB, Wang H, Guedes Soares C, 2012. Numerical and experimental study of hydrodynamic impact and elastic response for one free-drop wedge with stiffened panels. Ocean Engineering, 40, 1–14. DOI: https://doi.org/10.1016/j.oceaneng.2011.11.004Get

    Article  Google Scholar 

  • Maki KJ, Lee D, Troesch A, Vlahopoulos N, 2011. Hydroelastic impact of a wedge-shaped body. Ocean Engineering, 38, 621–629. DOI: https://doi.org/10.1016/j.oceaneng.2010.12.011

    Article  Google Scholar 

  • Meirovitch L, 1997. Principles and techniques of vibrations. Englewood Cliffs, Prentice Hall, Inc., Vol. 1, 451–454.

    Google Scholar 

  • Nichols BD, Hirt CW, Hotchkiss RS, 1980. SOLA-VOF: A solution algorithm for transient fluid flow with multiple free boundaries. No. LA-8355, Los Alamos Scientific Lab.

    Google Scholar 

  • Okada S, Sumi Y, 2000. On the water impact and elastic response of a flat plate at small impact angles. Journal of Marine Science and Technology, 5(1), 31–39. DOI: https://doi.org/10.1007/s007730070019

    Article  Google Scholar 

  • Panciroli R, Abrate S, Minak G, Zucchelli A, 2012. Hydroelasticity in water-entry problems: Comparison between experimental and SPH results. Composite Structures, 94(2), 532–539. DOI: https://doi.org/10.1016/j.compstruct.2011.08.016

    Article  Google Scholar 

  • Peseux B, Gornet L, Donguy B, 2005. Hydrodynamic impact: numerical and experimental investigations. Journal of Fluids and Structure, 21(3), 277–303. DOI: https://doi.org/10.1016/j.jfluidstructs.2005.04.011

    Article  Google Scholar 

  • Phan TS, Temarel P, 2002. Hydroelastic responses of pontoon and semi-submersible types of very large floating structure in regular head waves. Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering, paper OMAE2002-28149, 753–763.

    Google Scholar 

  • Price WG, Wu YS, 1985. Structural responses of a SWATH of multi-hulled vessel traveling in waves. International Conference on SWATH ships and advanced multi-hulled vessels. London, Vol. 1, Paper 13.

    Google Scholar 

  • Qin Z, Batra RC, 2009. Local slamming impact of sandwich composite hulls. International Journal of Solids and Structures, 46, 2011–2035. DOI: https://doi.org/10.1016/j.ijsolstr.2008.04.019

    Article  MATH  Google Scholar 

  • Rajendran S, Guedes Soares C, 2016; Numerical investigation of the vertical response of a containership in large amplitude waves. Ocean Engineering, 123, 440–451. DOI: https://doi.org/10.1016/j.oceaneng.2016.06.039

    Article  Google Scholar 

  • Rajendran S, Fonseca N, Guedes Soares C, 2016. A numerical investigation of the flexible vertical response of an Ultra Large Containership in high seas compared with experiments. Ocean Engineering, 122, 293–310. DOI: https://doi.org/10.1016/j.oceaneng.2016.06.014

    Article  Google Scholar 

  • Santos FM, Temarel PA, Guedes Soares C, 2009. On the limitations of two and three-dimensional linear hydroelasticity analyses applied to a fast patrol boat. Journal of Engineering for the Maritime Environment, 223(3), 457–478. DOI: http://journals.sagepub.com/doi/abs/10.1243/14750902JEME152

    Google Scholar 

  • Scolan YM, 2004. Hydroelastic behaviour of a conical shell impacting on a quiescent-free surface of an incompressible liquid. Journal of Sound and Vibration, 277(1/2), 163–203. DOI: https://doi.org/10.1016/j.jsv.2003.08.051

    Article  Google Scholar 

  • Senjanovic I, Catipovic I, Tomasevic S, 2007. Coupled flexural and torsional vibrations of ship-like girders. Thin-Walled Structures, 45, 1002–1021. DOI: https://doi.org/10.1016/j.tws.2007.07.013

    Article  Google Scholar 

  • Senjanovic I, Malenica S, Tomasevic S, 2008. Investigation of ship hydroelasticity. Ocean Engineering, 35, 523–535. DOI: https://doi.org/10.1016/j.oceaneng.2007.11.008

    Article  Google Scholar 

  • Shams A, Porfiri M, 2015. Treatment of hydroelastic impact of flexible wedges. Journal of Fluid and Structures, 57, 229–246. DOI: https://doi.org/10.1016/j.jfluidstructs.2015.06.017

    Article  Google Scholar 

  • Stenius I, Rosn A, Kuttenkeuler J, 2007. Explicit FE-modelling of hydroelasticity in panel-water impacts. International Shipbuilding Progress, 54(2/3), 111–127.

    Google Scholar 

  • Van Nuffel D, Vepa KS, De Baere I, Lava P, Kersemans M, Degrieck J, De Rouck J, Van Paepegem W, 2014. A comparison between the experimental and theoretical impact pressures acting on a horizontal quasi-rigid cylinder during vertical water entry. Ocean Engineering, 77, 42–54. DOI: https://doi.org/10.1016/j.oceaneng.2013.11.019

    Article  Google Scholar 

  • Wang S, 2016. Hydroelastic response of ship Structural Components subjected to slamming loads. PhD thesis, CENTEC, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, 201–227.

    Google Scholar 

  • Wang S, Guedes Soares C, 2014a. Numerical study on hydroelastic water entry of a wedge. In: Guedes Soares C, and Lopez Pena F, Eds. Developments in Maritime Transportation and Exploitation of Sea Resources. Taylor & Francis Group, London, 199–208. DOI: https://doi.org/10.1201/b15813-26

    Google Scholar 

  • Wang S, Guedes Soares C, 2014b. Numerical study on the water impact of 3D bodies by explicit finite element method. Ocean Engineering, 78, 73–88. DOI: https://doi.org/10.1016/j.oceaneng.2013.12.008

    Article  Google Scholar 

  • Wang S, Karmakar D, Guedes Soares C, 2015. Hydroelastic impact due to longitudinal compression on transient vibration of a horizontal elastic plate. In: Guedes Soares C, Santos TA, Eds. Maritime Technology and Engineering, Taylor & Francis Group, London, 1073–1079. DOI: 10.1201/b17494-144

    Google Scholar 

  • Wang S, Karmakar D, Guedes Soares C, 2016. Hydroelastic impact of a horizontal floating plate with forward speed. Journal of Fluids and Structures, 60, 97–113. DOI: https://doi.org/10.1016/j.jfluidstructs.2015.11.005

    Article  Google Scholar 

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Acknowledgement

This work was performed within the Strategic Research Plan of the Centre for Marine Technology and Ocean Engineering, which is financed by Portuguese Foundation for Science and Technology (Fundação para a Ciência e Tecnologia-FCT).

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Authors and Affiliations

  1. Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior Técnico, Universidade de Lisboa, Lisboa, 1049-001, Portugal

    Shan Wang & C. Guedes Soares

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  1. Shan Wang
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  2. C. Guedes Soares
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Correspondence to Shan Wang.

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Foundation item: Supported by Portuguese Foundation for Science and Technology (Fundação para a Ciência e Tecnologia-FCT)

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Wang, S., Guedes Soares, C. Hydroelastic analysis of a rectangular plate subjected to slamming loads. J. Marine. Sci. Appl. 16, 405–416 (2017). https://doi.org/10.1007/s11804-017-1434-6

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  • DOI: https://doi.org/10.1007/s11804-017-1434-6

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