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Simplified formulas of heave added mass coefficients at high frequency for various two-dimensional bodies in a finite water depth

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초록

The aim of this study is to develop a simplified formula for added mass coefficients of a two-dimensional floating body moving vertically in a finite water depth. Floating bodies with various sectional areas may represent simplified structure sections transformed by Lewis form, and can be used for floating body motion analysis using strip theory or another relevant method. Since the added mass of a floating body varies with wave frequency and water depth, a correction factor is developed to take these effects into account. Using a developed two-dimensional numerical wave tank technique, the reference added masses are calculated for various water depths at high frequency, and used them as basis values to formulate the correction factors. To verify the effectiveness of the developed formulas, the predicted heave added mass coefficients for various wetted body sections and wave frequencies are compared with numerical results from the Numerical Wave Tank (NWT) technique.

Abstract

The aim of this study is to develop a simplified formula for added mass coefficients of a two-dimensional floating body moving vertically in a finite water depth. Floating bodies with various sectional areas may represent simplified structure sections transformed by Lewis form, and can be used for floating body motion analysis using strip theory or another relevant method. Since the added mass of a floating body varies with wave frequency and water depth, a correction factor is developed to take these effects into account. Using a developed two-dimensional numerical wave tank technique, the reference added masses are calculated for various water depths at high frequency, and used them as basis values to formulate the correction factors. To verify the effectiveness of the developed formulas, the predicted heave added mass coefficients for various wetted body sections and wave frequencies are compared with numerical results from the Numerical Wave Tank (NWT) technique.

참고문헌 (8)

  1. Oscillation of Cylinders in or below the free surface of deep fluids, "Frank, W.", Naval Ship Research and Development Centre, ~, pp.Hydromechanics laboratory research and development report (2375) (1968)
  2. Kim, C. H., "Recent research and development of numerical wave tanks-A review", International Journal of Offshore and Polar Engineering, 9(4), pp.241~256 (1999)
  3. 구원철, "유한 수심에서 반원형 부유체의 부가질량계수 약산식 개발", 한국해양공학회지, 27(1), pp.80~84 (2013), 한국해양공학회
  4. Sutulo, S., "Hydrodynamic characteristics of ship sections in shallow water with complex bottom geometry", Ocean Engineering, 37, pp.947~958 (2010)
  5. Shen, Y. M., "On the radiation and diffraction of linear water waves by a rectangular structure over a sill. Part I. Infinite domain of finite water depth", Ocean Engineering, 32, pp.1073~1097 (2005)
  6. Ursell, F., "On the heaving motion of a circular cylinder on the surface of a fluid", Quarterly Journal of Mechanics and Applied Mathematics, 2(2), pp.218~231 (1948)
  7. The Hydrodynamic coefficients for swaying, heaving and rolling cylinders in a free surface, "Vugts, J. H.", Shipbuilding Lab., Delft University of Technology, ~, pp.Netherlands Ship Res. Centre TNO. Report No. 194 (1968)
  8. Zhou, Z. X., "Effect of shallow and narrow water on added mass of cylinders with various cross-sectional shapes", Ocean Engineering, 32, pp.1199~1215 (2005)

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