• 제목/요약/키워드: eigen-function expansion method

검색결과 13건 처리시간 0.027초

Numerical analysis of an offshore platform with large partial porous cylindrical members due to wave forces

  • Park, Min-Su;Kawano, Kenji;Nagata, Shuichi
    • Ocean Systems Engineering
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    • 제1권4호
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    • pp.337-353
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    • 2011
  • In the present study, an offshore platform having large partial porous cylindrical members, which are composed of permeable and impermeable cylinders, is suggested. In order to calculate the wave force on large partial porous cylindrical members, the fluid domain is divided into three regions: a single exterior region, N inner regions and N beneath regions, and the scattering wave in each fluid region is expressed by an Eigen-function expansion method. Applying Darcy's law to the porous boundary condition, the effect of porosity is simplified. Wave excitation forces and wave run up on the structures are presented for various wave conditions. For the idealized three-dimensional platform having large partial porous cylindrical members, the dynamic response evaluations of the platform due to wave forces are carried out through the modal analysis. In order to examine the effects of soil-structure interaction, the substructure method is also applied. The displacement and bending stress at the selective nodal points of the structure are computed using various input parameters, such as the shear-wave velocity of soil, the wave height and the wave period. Applying the Monte Carlo Simulation (MCS) method, the reliability evaluations at critical structure members, which contained uncertainties caused by dynamic forces and structural properties, are examined by the reliability index with the results obtained from MCS.

Electromagnetic Penetration into an Annular Aperture in a Thick Conductor

  • Lee Haeng-Seon
    • Journal of electromagnetic engineering and science
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    • 제5권3호
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    • pp.146-151
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    • 2005
  • Electromagnetic penetration into an annular aperture in a thick conducting plane is investigated with the integral transform and eigen-function expansion method. The solution is analytic and is represented in rapidly-convergent series which is amenable to numerical analysis. Numerical computations shows that apertures with narrow annular gap have sharp transmit power peaks in frequency response.

유연막 방파제에 의한 경사파의 산란 (Scattering of Oblique Waves by an Inanite Flexible Membrane Breakwater)

  • 조일형;홍석원
    • 한국해안해양공학회지
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    • 제7권3호
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    • pp.219-226
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    • 1995
  • 본 연구에서는 PVC나 PU와 같은 유연성이 있는 유연막 방파제와 임의의 입사각을 갖는 파의 상호작용문제를 다루었다. 유연막 방파제에 작용하는 파랑하증을 구하기 위하여 고유함수전개법(eigen-function expansion method)을 사용하였다. 이때 유연막의 변형이 유체장에 미치는 영향은 경계조건식으로부터 표현된다. 경계조건식에서 유연막의 변형은 막 방정식을 풀어 구한다. 계산 예로 유연막에 작용하는 장력과 계류삭의 강성계수 그리고 유연막의 높이를 변화시키면서 투과율과 반사율의 차이를 비교하였고, 입사각도의 변화에 따른 방파 효과의 차이를 살펴보았다. 결론적으로 유연막 구조물을 적절히 설계한다면 미래의 훌륭한 방파제로 활용이 가능하다고 여겨진다.

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직립 소파판을 이용한 어항 정온화 접안시설 개발 ( 1 ) (Development of Wharf in Fishing Port with Tranquility Using the Arrays of Upright Perforated Plates ( 1 ))

  • 김현주;조일형;최학선
    • 수산해양기술연구
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    • 제32권3호
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    • pp.286-293
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    • 1996
  • This paper established the analytical model of sea surface oscilation of simple type fishing port with vertical wave absorbor. This model is composed by MAEM(Matched Asymptotic Expansion Method) for wave amplification in fishing port and EEM(Eigen - function Expansion Method) for wave absorbing characteristics against vertical perforated plates. Dimensionless porosity by adopting Darcy's law was introduced to evaluate wave absorbing characteristics of the perforated structure. Using the model, the efficiency of the vertical perforated plates was studied for fishing port tranqulity with number of plates, array method and plate intervals. Optimal design and arrangement of perforated plates can be applied to develop multipurpose fishing ports and villages.

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박막이 부착된 채널내의 2차원 층류유동장에 대한 연구 (Study on Two-Dimensional Laminar Flow through a Finned Channel)

  • 윤석현;정재택
    • 한국전산유체공학회지
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    • 제7권3호
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    • pp.53-59
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    • 2002
  • A two-dimensional laminar flow through a channel with a pair of symmetric vertical fins is investigated. At far up- and down-stream from the fins, the plane Poiseuille flow exists in the channel. The Stokes flow for this channel is first investigated analytically and then the other laminar flows by numerical method. For analytic method, the method of eigen function expansion and collocation method are employed. In numerical solution for laminar flows, finite difference method(FDM) is used to obtain vorticity and stream function. From the results, the streamline patterns are shown and the additional pressure drop due to the attached fins and the force exerted on the fin are calculated. It is clear that the force depends on the length of fins and Reynolds number. When the Reynolds number exceeds a critical value, the flow becomes asymmetric. This critical Reynolds number Re/sub c/ depends on the length of the fins.

Wave-blocking Efficiency of a Horizontal Porous Flexible Membrane

  • Cho, Il-Hyoung
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • 제6권1호
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    • pp.7-14
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    • 2003
  • The interaction of monochromatic incident waves with a submerged horizontal porous membrane is investigated in the context of two-dimensional linear hydro-elastic theory. It is assumed that the membrane is made of material with very fine pores so that the normal velocity of the fluid passing through the porous membrane is linearly proportional to the pressure difference between two sides of the membrane (e.g. Darcy's law). Using the Eigen-function expansion method, the wave-blocking performance of a submerged horizontal porous membrane is tested with various membrane tensions, porosities, lengths, and submerged depths. It is found that an optimal combination of design parameters exists for given water depth and wave characteristics.

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박막이 부착된 채널내의 2차원 층류 유동장에 대한 연구 (Study on Two-Dimensional Laminar Flow Through a Finned Channel)

  • 윤석현;정재택
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집B
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    • pp.545-550
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    • 2001
  • A two-dimensional laminar flow through a channel, on which a couple of symmetric vertical fins are attached, is investigated. The stokes flow for this channel flow is investigated analytically and laminar flow numerically. For analytic solution, the method of eigen function expansion and collocation method are employed. For numerical solution, finite difference method(FDM) is used to obtain vorticity and stream function. From the results, streamline patterns are shown and the pressure drop due to the attached fins is calculated, which depends on the length of fins and Reynolds number. While $Re, streamline pattern is symmetric, a pair of additional asymmetric solutions appear for $Re>Re_c$, where the critical Reynolds number $Re_c$ depends on the length of the fin.

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박막이 부착된 마이크로 채널 내의 유동해석 (flow analysis in Micro Channel with a Couple of Fins)

  • 정재택
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 춘계 학술대회논문집
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    • pp.228-233
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    • 2005
  • Two-dimensional Stokes flows through a micro channel with a couple of symmetric vertical fins are investigated. At far up- and down-stream from the fins, the plane Poiseuille flow exists in the channel. The slip boundary conditions are applied to take account of the Knudsen number effects. For the analysis, the method of eigen function expansion and collocation method are employed. By the results, the streamline patterns and pressure distributions are shown and the force exerted on the fin and the excess pressure drop due to the fins are determined as functions of the length of the fin and Knudsen number. It may be conjectured that the force and the excess pressure drop are almost independent of the Knudsen number.

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해저단애 지형 및 흐름에 의한 억류파낭 (Trapped Water Waves due to Depth and Current Discontinuities)

  • 서승남;전기천
    • 한국해안해양공학회지
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    • 제4권1호
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    • pp.1-9
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    • 1992
  • 해저계체 위를 지나는 미소진폭파의 변형을 계산하기 위해 고유함수 전개법과 진행파 근사법이 사용되었다. 흐름과 지형의 변화에 의해 억류되는 파낭의 특성과 파낭변형에 대한 evanescent mode의 영향을 조사하였다. 특히 3차원 뿐 아니라 2차원 파낭 만형을 도시하여 억류파낭의 특성을 분석하였다.

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파랑중 막 구조 방파제의 거동 특성 (On the Behavior of Membrane Breakwaters in Waves)

  • 조일형
    • 한국항만학회지
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    • 제8권1호
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    • pp.17-22
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    • 1994
  • The wave interaction with flexible membrane such as PVC and fabrics is studied to prove its applicability to portable breakwaters. To obtain the wave exciting force acting on flexible membrane, eigen-function expansion method is employed. The effect of flexible is involved in body boundary condition in which x-directional displacement of membrane is obtained by solving the linear membrane equation. Displacement of membrane is assumed to be small compared to wavelength, therefore the tensile force of membrane remains constant. As the numerical examples, transmission and reflection coefficients according to the change of tensile forces are investigated. The hydrodynamic force on membrane, the dynamic tension in the mooring lines and the vertical displacement profile of membrane are also calculated. It is suggested that the flexible membrane can be used to engineering material for the future coastal/ocean applications.

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