A numerical study of the second-order wave excitation of ship springing by a higher-order boundary element method
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
This paper presents some of the efforts by the authors towards numerical prediction of springing of ships. A time-domain Higher Order Boundary Element Method (HOBEM) based on cubic shape function is first presented tosolve a complete second-order problem in terms of wave steepness and ship motions in a consistent manner. In order toavoid high order derivatives on the body surfaces, e.g. mj-terms, a new formulation of the Boundary Value Problem in abody-fixed coordinate system has been proposed instead of traditional formulation in inertial coordinate system. Thelocal steady flow effects on the unsteady waves are taken into account. Double-body flow is used as the basis flowwhich is an appropriate approximation for ships with moderate forward speed. This numerical model was used toestimate the complete second order wave excitation of springing of a displacement ship at constant forward speeds.
Abstract
This paper presents some of the efforts by the authors towards numerical prediction of springing of ships. A time-domain Higher Order Boundary Element Method (HOBEM) based on cubic shape function is first presented tosolve a complete second-order problem in terms of wave steepness and ship motions in a consistent manner. In order toavoid high order derivatives on the body surfaces, e.g. mj-terms, a new formulation of the Boundary Value Problem in abody-fixed coordinate system has been proposed instead of traditional formulation in inertial coordinate system. Thelocal steady flow effects on the unsteady waves are taken into account. Double-body flow is used as the basis flowwhich is an appropriate approximation for ships with moderate forward speed. This numerical model was used toestimate the complete second order wave excitation of springing of a displacement ship at constant forward speeds.
참고문헌 (31)
- Bishop, R. E. D., "A unified dynamic analysis of ship response to waves", Royal Institution of Naval Architects Spring Meeting, pp.363~390 (1977)
- Büchmann, B., "Time-domain modeling of run-up on offshore structures in waves and currents", 박사, pp.2000
- Faltinsen, O., "A generalized wagner method for three-dimensional slamming", Journal of Ship Research, 591(4), pp.279~287 (2005)
- Faltinsen, O. M., "Wave forces on a restrained ship in head sea waves", 박사, pp.1971
- Faltinsen, O.M., "Sloshing" (2009), Cambridge University Press
- Faltinsen, O.M., "Analytically approximate natural sloshing modes and frequencies in two-dimensional tank", Euroup Journal of Mechanics, B, 2014, pp.47, 176~187
- Helmers, J.B., "A meshless boundary element method for simulating slamming in context of generalized wagner", Odd M. Faltinsen Honoring Symposium on Marine Hydrodynamics, pp.V009T12A04~ (2013)
- Extreme hull girder loading, "Jensen, J. J.", Elsevier, ~ (2000)
- Khabakhpasheva, T. I., "Generalised Wagner model of water impact by numerical conformal mapping", Applied Ocean Research, 44, pp.29~38 (2014)
- Kim, M. H., "The complete second-order diffraction and radiation solution for an axisymmetric body", 박사, pp.1988
- Korobkin, A. A., "Semi-analytical approach in generalized wagner model", 26th International Workshop on Water Waves and Floating Bodies (2011)
- On the theory of coupled ship motions and vibrations, "Maeda, H.", The University of Michigan, Department of Naval Architecture and Marine Engineering, ~, pp.Report No.232 (1980)
- Miyake, R., "Experimental studies on the hydroelastic response due to springing using a flexible mega-container ship model", 8th International Conference on Hydrodynamics (2008)
- Molin B., "Calculation of second-order sum-frequency loads on TLP hulls" (1990), Institute Français du Petrole
- Shao, Y. L., "Numerical potential-flow studies on weakly-nonlinear wave-body interactions with", without small forward spe, NTNU, 2010
- Shao, Y.L., "Use of body-fixed coordinate system in analysis of weakly-nonlinear wave-body problems", Applied Ocean Research, 32(1), pp.20~33 (2010)
- Shao, Y.L., "A numerical study of the second-order wave excitation of ship springing with infinite water depth", Journal of Engineering for the Maritime Environment, 226(2), pp.103~119 (2012)
- Shao, Y.L., "Linear seakeeping and added resistance analysis by means of body-fixed coordinate system", Journal of Marine Science and Technology, 17, pp.493~510 (2012)
- Shao, Y.L., "Second-order diffraction and radiation of a floating body with small forward speed", Journal of Offshore Mechanics and Arctic Engineering, 135(1), pp.011301~011310 (2013)
- Shao, Y.L., "Numerical analysis of second-order wave loads on large-volume marine structures in a current", 33rd International Conference on Ocean, Offshore and Arctic Engineering, pp.V01BT01A04~ (2014)
- Skjørdal, S.O., "A linear theory of springing", Journal of Ship Research, 24(2), pp.74~84 (1980)
- Nonlinear Ship Springing Experiments, "Slocum, S.", The University of Michigan, Department of Naval Architecture and Marine Engineering, ~, pp.Report No.266 (1983)
- Storhaug, G., "Experimental investigation of wave induced vibrations and their effect on the fatigue loading of ships", 박사, pp.2007
- Söding, H., "Computation of springing transfer functions", Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 223(3), pp.291~304 (2009)
- Tian, C., "Hydroelasticity in marine technology" (2006), National Defense Industry Press
- Tuitman, J.T., "Fully coupled seakeeping, slamming, and whipping calculations", Proceedings of the Institution of Mechanical Engineers. Part M: Journal of Engineering for the Maritime Environment, 223(3), pp.439~456 (2009)
- Vidic-Perunovics, J., "Non-linear springing excitation due to a bidirectional wave field", Marine Structures, 18, pp.332~358 (2005)
- von Graefe, A., "Linear and nonlinear sectional loads with potential and field methods", Journal of Offshore Mechanics and Arctic Engineering, 136(3), pp.031602~031611 (2014)
- Winterstein, S. R., "Volterra models of ocean structures : Extreme and fatigue reliability", Journal of Engineering Mechanics, 120(6), pp.1369~1385 (1994)
- Wu, Y.S., "The second order hydrodynamic actions on a flexible body", Journal of the Indian Institute of Science, 49(4), pp.8~19 (1997)
- Zhao, R., "Water entry of arbitrary two-dimensional sections with and without flow separation", Proceedings of 21st Symposium on Naval Hydrodynamics, pp.408~423 (1997)