선수 규칙파 중 단동 활주선의 연직면 거동 추정 - Zarnick 비선형 스트립 방법의 개선
Theoretical Prediction of Vertical Motion of Planing Monohull in Regular Head Waves - Improvement of Zarnick’s Nonlinear Strip Method
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In order to predict the motions of a planing hull in waves, it is necessary to accurately estimate the force components acting on the hull such as the hydrodynamic force, buoyancy, and friction, as well as the wave exciting force. In particular, based on strip theory, hydrodynamic forces can be estimated by the summation of the forces acting on each cross-section of the hull. A non-linear strip method for planing hulls was mathematically developed by Zarnick, and his formula has been used to predict the vertical motions of prismatic planing hulls in regular waves. In this study, several improvements were added to Zarnick’s formula to predict the vertical motions of warped planing hulls. Based on calm water model test results, the buoyancy force and moment correction coefficients were modified. Further improvements were made in the pile-up correction. Pile-up correction factors were changed according to variations of the deadrise angles using the results found in previous research. Using the same hull form, captive model tests were carried out in other recent research, and the results were compared with the present calculation results. The comparison showed reasonably good agreements between the model tests and present calculations.
Abstract
In order to predict the motions of a planing hull in waves, it is necessary to accurately estimate the force components acting on the hull such as the hydrodynamic force, buoyancy, and friction, as well as the wave exciting force. In particular, based on strip theory, hydrodynamic forces can be estimated by the summation of the forces acting on each cross-section of the hull. A non-linear strip method for planing hulls was mathematically developed by Zarnick, and his formula has been used to predict the vertical motions of prismatic planing hulls in regular waves. In this study, several improvements were added to Zarnick’s formula to predict the vertical motions of warped planing hulls. Based on calm water model test results, the buoyancy force and moment correction coefficients were modified. Further improvements were made in the pile-up correction. Pile-up correction factors were changed according to variations of the deadrise angles using the results found in previous research. Using the same hull form, captive model tests were carried out in other recent research, and the results were compared with the present calculation results. The comparison showed reasonably good agreements between the model tests and present calculations.
참고문헌 (10)
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- A Systematic Study of the Rough-Water Performance of Planing Crafts, "Fridsma, G.", Stevens Institute of Technology, ~, pp.Davidson Laboratory Report 1275 (1969)
- Keuning, J. A., "The Nonlinear Behaviour of Fast Monohulls in Head Waves", Ph.D., pp.1994
- 김동진, "40ft 급 크루즈 레저보트의 운동성능 해석 및 모형시험 비교 연구", 대한조선학회 논문집, 50(4), pp.240~247 (2013), 대한조선학회
- Theoretical Prediction of Motions of High-Speed Planing Boats in Waves, "Martin, M.", DTNSRDC, ~, pp.Report 76-0069 (1976)
- A Theoretical and Experimental Study of Planing Surfaces Including Effects of Cross Section and Plan, "Shuford, S. L. Jr.", National Advisory Committee for Aeronautics, ~, pp.Report 1355 (1957)
- Van Deyzen, A., "A Nonlinear Mathematical Model of Motions of a Planing Monohull in Head Seas", Proceedings of the 6th International Conference on High Performance Marine Vehicles, pp.187~199 (2008)
- Landing of Seaplanes, "Wagner, H.", National Advisory Committee for Aeronautics, ~, pp.TN 672 (1931)
- A Nonlinear Mathematical Model of Motions of a Planing Boat in Regular Waves, "Zarnick, E.", DTNSRDC, ~, pp.Report 78-032 (1978)
- Zhao, R., "Water Entry of Two-dimensional Bodies", Journal of Fluid Mechanics, 246, pp.593~612 (1993)
