Hydroelastic analysis of a rectangular plate subjected to slamming loads
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.
Keywordsslamming load hydroelastic analysis vibration of plates modal expansion method finite element method
Unable to display preview. Download preview PDF.
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).
- 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
- Faltinsen OM, 1999. Water entry of a wedge by hydroelastic orthotropic plate theory. Journal of Ship Research, 43, 180–193.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: 10.1243/14750902JEME160Google 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.1991.0018Google 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=456322Google 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
- 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
- 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
- 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
- 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/10.1243/14750902JEME152Google 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.2013.11.019CrossRefGoogle 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/b15813-26Google 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/b17494-144Google Scholar