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상하단이 자유롭게 수평동요하는 수중 조파판에 의해 생성된 수면파의 근사해석

Linear Analysis of Water Surface Waves Generated by Submerged Wave Board Whose Upper and Lower Ends Oscillate Horizontally Freely

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참고문헌

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주제분류조선공학

초록

To derive a simplified analytic solution which can be utilized as a fundamental solution for the wave maker design, a segment of the wave board has been idealized as a submerged line segment in a two dimensional domain of a wave flume. The lower end of the line segment could be located at arbitrary depth of the wave flume and the upper end of the board could be also submerged to any depth from the free surface. The freely oscillating motion of the wave board is assumed to be defined by determining the condition of horizontal oscillation on both ends differently. The submerged wave board oscillating in horizontal direction could be specified by selecting the amplitude, frequency and the phase lag differently on lower and upper ends of the board. The simplified two dimensional wave generated by the wave board segment has been obtained by the first order perturbation method. It is found that the general solution of the freely oscillating wave board in two dimensional domain could be decomposed into the solution of flap motion with lower end hinge and swing motion with upper end hinge. The case study of the analytic solutions has been carried out to evaluate the effect on the wave height due to the difference of oscillation frequency, phase difference and variation of stroke between for the motion of both ends. It is found that the solution of the freely oscillating wave board could be utilized for the development of high performance wavemaker especially for irregular waves.

Abstract

To derive a simplified analytic solution which can be utilized as a fundamental solution for the wave maker design, a segment of the wave board has been idealized as a submerged line segment in a two dimensional domain of a wave flume. The lower end of the line segment could be located at arbitrary depth of the wave flume and the upper end of the board could be also submerged to any depth from the free surface. The freely oscillating motion of the wave board is assumed to be defined by determining the condition of horizontal oscillation on both ends differently. The submerged wave board oscillating in horizontal direction could be specified by selecting the amplitude, frequency and the phase lag differently on lower and upper ends of the board. The simplified two dimensional wave generated by the wave board segment has been obtained by the first order perturbation method. It is found that the general solution of the freely oscillating wave board in two dimensional domain could be decomposed into the solution of flap motion with lower end hinge and swing motion with upper end hinge. The case study of the analytic solutions has been carried out to evaluate the effect on the wave height due to the difference of oscillation frequency, phase difference and variation of stroke between for the motion of both ends. It is found that the solution of the freely oscillating wave board could be utilized for the development of high performance wavemaker especially for irregular waves.

참고문헌 (13)

  1. Dean, R.G., "Advanced series on Ocean Engineering" (2007), World Scientific
  2. Hughes, S.A., "Physical Model and Laboratory Techniques in Coastal Engineering" (1993)
  3. Hyun, J. M., "Theory for Hinged Wavemakers of Finite Draft in water of Constant Depth", Journal of Hydronautics, 10(1), pp.2~7 (1976)
  4. Kim, H., "Wave generator for ship model test with wave board which oscillating in dual mode", KR Patent 10-2018-0019183, ~ (2018)
  5. Kim, H., "Wave generator composed with wave board and appended reinforcing flap for ship model test", KR Patent 10-2018-000296, ~ (2018)
  6. Khalilabadi, M. R., "Design and construction of an optimum wave flume", Journal of Applied Fluid Mechanics, 5(3), pp.99~103 (2012)
  7. Kwon, J.O., "Analytic solution of oscillating submerged vertical board segment by perturbation method and its characteristics", Korean Towing Tank Conference Spring Meeting (2017), Inha University
  8. 권종오, "조파판 수중운동의 근사해석과 조파기 설계에 응용", 대한조선학회 논문집, 54(6), pp.461~469 (2017), 대한조선학회[DOI]
  9. Liao, S.W., "Simulation of breaking waves-Theory and Experiments", Society of Naval Architects and Marine Engineers(SNAME) North California Section, ~ (1998)
  10. Oh, J., "Approximate solution of vertical wave board oscillating in submerged condition and its design application", 2017 Annual Autumn Conference, The Society of Naval Architects of Korea (2017), Yeosu EXPO
  11. Wang, S., "Plunger-type wavemakers: Theory and experiment", Journal of Hydraulic Research, 12(3), pp.357~388 (1974)
  12. Takezawa, S., "Waves of the wave basin for the offshore structure experiments", Journal of the Society of Naval Architects of Japan, 613, pp.376~387 (1980)
  13. Halfiani, V., "Triple-flap wavemaker based on linear wave theory", Bulletin of Mathematics, 07(01) (2015)

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