Abstract
A hydroelastic analysis of slam-induced beam vibration is presented. The objective of the paper is to provide response spectra for transient water-structure dynamics subject to typical impact loads and time scales. Assuming small deflections of the Euler-Bernoulli beam, normal mode summation is used to calculate the dynamic deflections in space and time. The modal governing differential equation is non-dimensionalized in space and time, and the dynamic load factor (DLF) of the loading are numerically evaluated. The modal participation spectra relative to the dominant fundamental mode for various impact speeds is used to establish modal truncation guidelines. The effect of the fluid inertia on the DLF is examined in the two limits of dry vibrations and completely wet vibrations.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Chatterjee, P.K., Datta, T.K., Surana, C.S.: Vibration of continuous bridges under moving vehicles. Journal of Sound and Vibration 169(5), 619–632 (1994)
Esmailzadeh, E., Ghorashi, M.: Vibration Analysis of a Timoshenko beam subjected to a travelling mass. Journal of Sound and Vibration 1994(4), 615–628 (1997)
Yang, Y., Yau, J., Hsu, L.: Vibration of simple beams due to trains moving at high speeds. Engineering Structures 19(11), 936–944 (1997)
Garinei, A.: Vibrations of simple beam-like modeled bridge under harmonic moving loads. International Journal of Engineering Science 44, 778–787 (2006)
Garinei, A., Risitano, G.: Vibrations of railway bridges for high-speed trains under moving loads varying in time. Engineering Structures 30, 724–732 (2008)
Henke, D.J.: Transient response of plates to travelling loads with application to slamming damage. International journal of Impact Engineering 15(6), 769–784 (1994)
Wang, R.T., Chou, T.H.: Non-linear vibration of Timoshenko beam due to a moving force and the weight of the beam. Journal of Sound and Vibration 218(1), 117–131 (1998)
Goncalves, P.J.P., Brennan, M.J., Elliott, S.J.: Numerical evaluation of high-order modes of vibration in uniform Euler-Bernoulli beams. Journal of Sound and Vibration 301, 1035–1039 (2007)
Lamb, H.: On the vibrations of an elastic plate in contact with water. Proceedings of the Royal Society of London, Series A 98(690), 205–216 (1920)
Lewis, F.M.: The inertia of water surrounding a vibrating ship. SNAME transactions 37, 1–20 (1929)
Mclachlan, N.W.: The accession to inertia of flexible discs vibrating in a fluid. Proceedings of the Physical Society of London (1932)
Yadykin, Y., Tenetov, V., Levin, D.: The added mass of a flexible plate oscillating in a fluid. Journal of Fluids and Structures 17, 115–123 (2003)
Bishop, R.E.D., Price, W.G.: On the relationship between “dry modes” and “wet modes” in the theory of ship response. Journal of Sound and Vibration 45(2), 157–164 (1976)
Bishop, R.E.D., Price, W.G.: An introduction to ship hydroelasticity 87(3), 391–407 (1983)
Troesch, A.W.: Wave-induced hull vibrations: an experimental and theoretical study. Journal of Ship Research 28(2), 141–150 (1984)
Faltinsen, O.M.: Hydroelastic Slamming. Journal of Marine Science and Technology 5, 49–65 (2000)
Senjanavic, I., Malenica, S., Tomasevic, S.: Investigation of ship hydroelasticity. Ocean Engineering (2008), doi:10.1016/j.oceaneng.2007.11.008
Cointe, R.: Two-dimensional water-solid impact. Journal of Offshore Mechanics and Arctic Engineering 111, 109–114 (1989)
Peseux, B., Gornet, L., Donguy, B.: Hydrodynamic impact: numerical and experimental investigations. Journal of Fluids and Structures 21, 277–303 (2005)
Howison, S.D., Ockendon, J.R., Wildon, S.K.: Incompressible water-entry problems at small deadrise angles. Journal of Fluid Mechanics 222, 215–230 (1991)
Khabakhpasheva, T.I., Korobkin, A.A.: Approximate models of elastic wedge impact. In: 18th IWWFB (April 2003)
Faltinsen, O.M.: Water entry of a wedge by hydroelastic orthotropic plate theory. Journal of Ship Research 43(3), 180–193 (1999)
Katz, Plotkin: Low-Speed Aerodynamics. McGraw-Hill, Inc., New York
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Datta, N., Kim, DH., Troesch, A.W. (2009). Hydrodynamic Impact-Induced Vibration Characteristics of a Uniform Euler-Bernoulli Beam. In: Ibrahim, R.A., Babitsky, V.I., Okuma, M. (eds) Vibro-Impact Dynamics of Ocean Systems and Related Problems. Lecture Notes in Applied and Computational Mechanics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00629-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-00629-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00628-9
Online ISBN: 978-3-642-00629-6
eBook Packages: EngineeringEngineering (R0)