Abstract
Added mass and damping coefficients are very important in hydrodynamic analysis of naval structures. In this paper, a double submerged inclined plates with ‘/ \’ configuration is firstly considered. By use of the boundary element method (BEM) based on Green function with the wave term, the radiation problem of this special type structure is investigated. The added mass and damping coefficients due to different plate lengths and inclined angles are obtained. The results show that: the added mass and damping coefficients for sway are the largest. Heave is the most sensitive mode to inclined angles. The wave frequencies of the maximal added mass and damping coefficients for sway and roll are the same.
Similar content being viewed by others
References
An, S. and Faltinsen, O.M., 2013. An experimental and numerical study of heave added mass and damping of horizontally submerged and perforated rectangular plates, Journal of Fluids and Structures, 39, 87–101.
Cho, I.H. and Kim, M.H., 2008. Wave absorbing system using inclined perforated plates, Journal of Fluid Mechanics, 608, 1–20.
Downie, M.J., Bearman, P.W. and Graham, J.M.R., 1988. Effect of vortex shedding on the coupled roll response of bodies in waves, Journal of Fluid Mechanics, 189, 243–264.
Farina, L., da Gama, R.L., Korotov, S. and Ziebell, J.S., 2017. Radiation of water waves by a submerged nearly circular plate, Journal of Computational and Applied Mathematics, 310, 165–173.
Gayen, R. and Mondal, A.,, 2016. Water wave interaction with two symmetric inclined permeable plates, Ocean Engineering, 124, 180–191.
Kang, H.G. and Wang, K., 2002. Numerical investigation on submerged horizontal plate, Marine Science Bulletin, 21(1), 1–8. (in Chinese)
Kharaghani, S. and Lee, J.J., 1986. Wave interaction with moored sloping breakwater, Proceedings of the 20th International Conference on Coastal Engineering, American Society of Civil Engineers, Taipei, pp.2259–2268.
Koh, H.J. and Cho, I.H., 2016. Heave motion response of a circular cylinder with the dual damping plates, Ocean Engineering, 125, 95–102.
Kristiansen, T. and Faltinsen, O.M., 2010. A two-dimensional numerical and experimental study of resonant coupled ship and pistonmode motion, Applied Ocean Research, 32(2), 158–176.
Li, J.B., Zhang, N.C. and Guo, C.S., 2010. Numerical simulation of waves interaction with a submerged horizontal twin-plate breakwater, China Ocean Engineering, 24(4), 627–640.
Lopes, D.B.S. and Sarmento, A.J.N.A., 2002. Hydrodynamic coefficients of a submerged pulsating sphere in finite depth, Ocean Engineering, 29(11), 1391–1398.
Mandal, B.N. and Chakrabarti, A., 1989. A note on diffraction of water waves by a nearly vertical barrier, IMA Journal of Applied Mathematics, 43(2), 157–165.
Mandal, B.N. and Kundu, P.K., 1990. Scattering of water waves by a submerged nearly vertical plate, SIAM Journal on Applied Mathematics, 50(5), 1221–1231.
Midya, C., Kanoria, M. and Mandal, B.N., 2001. Scattering of water waves by inclined thin plate submerged in finite-depth water, Archive of Applied Mechanics, 71(12), 827–840.
Parsons, N.F. and Martin, P.A., 1994. Scattering of water waves by submerged curved plates and by surface-piercing flat plates, Applied Ocean Research, 16(3), 129–139.
Saad, Y. and Schultz, M.H., 1986. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM Journal on Scientific and Statistical Computing, 7(3), 856–869.
SaberiNajafi, H. and Zareamoghaddam, H., 2008. A new computational GMRES method, Applied Mathematics and Computation, 199(2), 527–534.
Salvesen, N., Tuck, E.O. and Faltinsen, O., 1970. Ship motions and sea loads, Transactions SNAME, 78(8), 250–287.
Shaw, D.C., 1985. Perturbational results for diffraction of water-waves by nearly-vertical barriers, IMA Journal of Applied Mathematics, 34(1), 99–117.
Shen, W.J., Tang, Y.G. and Liu, L.Q., 2012. Research on the hydrodynamic characteristics of heave plate structure with different form edges of a spar platform, China Ocean Engineering, 26(1), 177–184.
Sinha, J.K., Singh, S. and Rama Rao, A., 2003. Added mass and damping of submerged perforated plates, Journal of Sound and Vibration, 260(3), 549–564.
Sobhani, S.M., Lee, J.J. and Wellford Jr., L.C., 1988. Interaction of periodic waves with inclined portable barrier, Journal of Waterway, Port, Coastal, and Ocean Engineering, 114(6), 745–761.
Teng, B., Zheng, M.Z., Jiang, S.C., Gou, Y. and Lv, L., 2010. Calculation and analysis of the hydrodynamic coefficients of heave-plates of Spar platform, The Ocean Engineering, 28(3), 1–8. (in Chinese)
Wang, K., Zhang, Z.Q. and Xu, W., 2011a. Transmitted and reflected coefficients for horizontal or vertical plate type breakwater, China Ocean Engineering., 25(2), 285–294.
Wang, K., Zhang, X. and Gao, X., 2011b. Study on scattering wave force of horizontal and vertical plate type breakwaters, China Ocean Engineering, 25(4), 699–708.
Wang, K., Zhang, X. and Gao, X., 2009. Research on hydrodynamic characteristics of forced oscillation heave damping plates of Spar platforms, Journal of Ship Mechanics, 13(1), 27–33. (in Chinese)
Zhang, S.M., 1990. Added mass of underwater plate and beam stiffened plate in vibration, Journal of Hydrodynamics, 5(1), 88–95. (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: This research is financially supported by the National Key Basic Research Program of China (Grant No. 2013CB036101) and the National Natural Science Foundation of China (Grant No. 51379037).
Rights and permissions
About this article
Cite this article
Wang, K., Zhang, Zq. Study on Hydrodynamic Coefficients of Double Submerged Inclined Plates. China Ocean Eng 32, 85–89 (2018). https://doi.org/10.1007/s13344-018-0009-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13344-018-0009-x