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부유체의 상하동요 고유진동수 예측

Prediction of Heave Natural Frequency for Floating Bodies

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주제분류조선공학

초록

As the motion response of heave for floating bodies on the water surface is relatively large near the natural frequency, it is necessary to predict its value accurately from the stage of initial design. Bodies accelerating in fluid experience force acted upon by the fluid, and this force is quantified by using the concept of added mass. For predicting the natural frequency of heave we need to know the added mass, which is given as a function of frequency, and hence the natural frequency can be obtained through only by iteration process, as was pointed out by Lee (2008). His method was applied to circular cylinders, and two dimensional cylinders of Lewis form by making use of the Ursell-Tasai method in the previous works, Lee and Lee (2013), Kim and Lee (2013), and Song and Lee (2015). In this work, a similar algorithm employing the concept of strip method is adopted for predicting the heave natural frequency of KCS(KRISO Container Ship), and the obtained computational result was compared with other existing experimental data, and the agreement seems reasonable. Furthermore, through the error analysis, it is shown that why the frequency corresponding to the local minimum of the added mass and the natural frequency are very close. And it seems probable that we can predict the heave natural frequency if we know only the local minimum of added mass and the corresponding frequency under a condition, which holds for ship-like bodies in general.

Abstract

As the motion response of heave for floating bodies on the water surface is relatively large near the natural frequency, it is necessary to predict its value accurately from the stage of initial design. Bodies accelerating in fluid experience force acted upon by the fluid, and this force is quantified by using the concept of added mass. For predicting the natural frequency of heave we need to know the added mass, which is given as a function of frequency, and hence the natural frequency can be obtained through only by iteration process, as was pointed out by Lee (2008). His method was applied to circular cylinders, and two dimensional cylinders of Lewis form by making use of the Ursell-Tasai method in the previous works, Lee and Lee (2013), Kim and Lee (2013), and Song and Lee (2015). In this work, a similar algorithm employing the concept of strip method is adopted for predicting the heave natural frequency of KCS(KRISO Container Ship), and the obtained computational result was compared with other existing experimental data, and the agreement seems reasonable. Furthermore, through the error analysis, it is shown that why the frequency corresponding to the local minimum of the added mass and the natural frequency are very close. And it seems probable that we can predict the heave natural frequency if we know only the local minimum of added mass and the corresponding frequency under a condition, which holds for ship-like bodies in general.

참고문헌 (10)

  1. 김기범, "상하동요하는 2차원 원주의 고유진동수; 시간 영역 해석", 대한조선학회 논문집, 50(4), pp.224~231 (2013), 대한조선학회
  2. Kim, W.J, "Measurement of flows around modern commercial ship models", Experiments in Fluids, 31, pp.567~578 (2001)
  3. 이동엽, "상하동요하는 2차원 원주의 고유진동수; 주파수 영역 해석", 대한조선학회 논문집, 50(2), pp.111~119 (2013), 대한조선학회
  4. 이승준, "상하동요하는 2차원 원주의 고유진동수", 대한조선학회 논문집, 45(4), pp.389~395 (2008), 대한조선학회
  5. Lee, S.J, "Natural frequency of heaving circular cylinder in the free surface", 8th International Workshop on Ship Hydrodynamics (2013)
  6. Simonsen, C.D., "EFD and CFD for KCS heaving and pitching in regular head waves", Journal of Marine Science and Technology, 18(4), pp.435~459 (2013)
  7. SNAME, "Principles of naval architecture" (1989), SNAME
  8. 송제하, "상하동요하는 2차원 주상체의 고유진동수; 주파수 영역 해석", 대한조선학회 논문집, 52(1), pp.25~33 (2015), 대한조선학회
  9. Tasai, F., "On the damping force and added mass of ships heaving and pitching", Journal of the Society of Naval Architects of Japan, 105, pp.47~56 (1959)
  10. Ursell, F., "On the heaving motion of circular cylinder on the surface of a fluid", Quarterly Journal of Mechanics & Applied Mathematics, 2(2), pp.218~231 (1949)

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