• 제목/요약/키워드: Free Boundaries

검색결과 189건 처리시간 0.031초

Edge stresses analysis in thick composite panels subjected to axial loading using layerwise formulation

  • Ahmadi, Isa
    • Structural Engineering and Mechanics
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    • 제57권4호
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    • pp.733-762
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    • 2016
  • Based on a reduced displacement field, a layer-wise (LW) formulation is developed for analysis of thick shell panels which is subjected to axial tension. Employing the principle of minimum total potential energy, the local governing equations of thick panel which is subjected to axial extension are obtained. An analytical method is developed for solution of the governing equations for various edge conditions. The governing equations are solved for free and simply supported edge conditions. The interlaminar stresses in the panel are investigated by means of Hooke's law and also by means of integration of the equilibrium equations of elasticity. Dependency of the result upon the number of numerical layers in the layerwise theory (LWT) is studied. The accuracy of the numerical results is validated by comparison with the results of the finite element method and with other available results in the open literature and good agreement is seen between the results. Numerical results are then presented for the distribution of interlaminar normal and shear stresses within the symmetric and un-symmetric cross-ply thick panels with free and simply supported boundaries. The effects of the geometrical parameters such as radius to thickness and width to thickness ratio are investigated on the distribution of the interlaminar stresses in thick panels.

Cr-free Si 변성 유/무기하이브리드 코팅액에 의한 열화된 STS310S 및 STS347H의 내식성 (Corrosion Resistance of Degraded STS310S and STS347H by Cr-free Modified Si Organic/Inorganic Hybrid Coating Solution)

  • 이소영;김영수;정희록;김귀식;남기우
    • 동력기계공학회지
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    • 제19권6호
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    • pp.12-18
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    • 2015
  • Austenitic stainless steels generally experience the occurrence of chromium-depleted zones at the boundaries, known as sensitization, caused by the carbide precipitation that takes place due to a welding process or heat treatment. Normally, the depleted zones become the focus of the intense corrosion. In this study, the Cr-free organic/inorganic hybrid solution was developed, and the artificially degraded STS316S and STS347H with the solution-coating investigated the corrosion resistance by salt spray test. Both the OIBD-1 and OIBD-2 solutions improved the corrosion resistance of STS310S and STS347H. The corrosion resistance with the OIBD-1 solution was better than that of OIBD-2 solution. Additionally, Both solutions have been proven excellence in adhesion ability, boiling water resistance and flexibility. However, a problem of rubbing after the boiling was found out to be overcome.

탄성기초에 지지되고 양단 축하중을 받는 특별직교 이방성 판의 진동해석 (Vibration analysis of special orthortopic plate with free edges supported on elastic foundation and with a pair of opposite edges under axial forces)

  • 김덕현;원치문;정경일;박정호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.327-334
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    • 1998
  • A method of calculating the natural frequency corresponding to the first mode of vibration of beams and toll.or structures, with irregular cross sections and with arbitrary boundary conditions was developed and reported by Kim, D. H. in 1974. In this paper, the result of application of this method to the special orthotropic plates with free edges supported on elastic foundation and with a pair of opposite edges under axial forces is presented. Such plates represent the concrete highway slab and hybrid composite pavement of bridges. The reinforced concrete slab can be assumed as a special orthotropic plate, as a close approximation. The highway slab is supported on elastic foundation, with free boundaries. Sometimes, the pair of edges perpendicular to the traffic direction may be subject to the axial forces. The plate is subject to the concentrated load/loads, in the form of traffic loads, or the test equipments. Any method nay be used to obtain the deflection influence surfaces needed for this vibration analysis. Finite difference method is used for this purpose, in this paper. The influence of the modulus of the foundation, the aspect ratio of the plate, and the magnitudes of the axial forces and the concentrated attached mass on the plate, on the natural frequency is thoroughly studied.

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점성유동 해석을 통한 Roll Damping 연구 (A Study on Roll Damping by Numerical Analysis of Viscous Flow)

  • 홍춘범;부경태;홍삼권;이동연
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2004년도 학술대회지
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    • pp.188-192
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    • 2004
  • A Numerical analysis method is developed in order to compute the flaw and wave field for 2-dimensional floating body in the free roll motion with 3 degrees of freedom. Navier-Stokes and continuity equations are gaverning equations in tire present study. Finite Difference method is introduced to discretize the governing equation. The free surface is traced by the interface tracking method and the grid system is fitted to boundaries including free surface and body surface, which is moving in the flow field. The numerical scheme is based on Maker and Cell method. For the sake of validation of the numerical method, the computed roll decay factors according to tire midship section shapes are compared with measured results. The numerical results are discussed in order to understand the effect of midship section shape on roll motion.

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수치모의를 이용한 전단면 식생 수로에서의 와도 생성 분석 (Numerical Investigations of Vorticity Generation in Fully Vegetated Open-Channel Flows)

  • 강형식
    • 대한토목학회논문집
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    • 제30권2B호
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    • pp.179-189
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    • 2010
  • 본 연구에서는 수치모의를 통하여 전단면 식생 수로에서 와도의 생성을 분석하였다. 지배방정식에서 난류 폐합을 위해 레이놀즈응력모형을 이용하였다. 거친 하상-매끄러운 측벽 및 매끄러운 하상-거친 측벽을 갖는 개수로 흐름을 수치모의하여 서로 다른 형태의 이차흐름 구조가 형성되는 것을 확인하였다. 즉, 거친 하상 조건에서는 자유수면 이차흐름의 규모가 감소되고, 거친 측벽 조건에서는 자유수면 이차흐름의 구조가 더 커지는 것으로 나타났다. 또한 전단면 식생 수로를 수치모의하여 수심 크기의 바닥 이차흐름이 형성되고, 식생 밀도가 증가함에 따라 자유수면 이차흐름이 점차 사라지는 것을 확인하였다. 또한 이차흐름 생성에 중요한 역할을 하는 난류의 비등방성 및 레이놀즈응력 분포를 식생밀도에 따라 살펴보았다. 한편, 와도 방정식을 분석한 결과, 비식생 수로의 경우 벽 및 수면 경계 근처에서는 난류 비등방성에 의한 생성항이, 경계와 떨어진 곳에서는 레이놀즈응력에 의한 생성항이 와도 생성에 중요한 역할을 하는 것으로 나타났다. 그러나 식생 수로에서는 이러한 특성이 사라지는 것으로 확인되었다. 또한 비식생 수로에서는 바닥과 수면에서의 와도 생성이 강하게 발생되지만, 식생 수로에서는 바닥과 식생 높이에서 와도 생성이 크게 발생되는 것으로 나타났다.

Free surface effects on 2-D airfoils and 3-D wings moving over water

  • Bal, Sakir
    • Ocean Systems Engineering
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    • 제6권3호
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    • pp.245-264
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    • 2016
  • The iterative boundary element method (IBEM) developed originally before for cavitating two-dimensional (2-D) and three-dimensional (3-D) hydrofoils moving under free surface is modified and applied to the case of 2-D (two-dimensional) airfoils and 3-D (three-dimensional) wings over water. The calculation of the steady-state flow characteristics of an inviscid, incompressible fluid past 2-D airfoils and 3-D wings above free water surface is of practical importance for air-assisted marine vehicles such as some racing boats including catamarans with hydrofoils and WIG (Wing-In-Ground) effect crafts. In the present paper, the effects of free surface both on 2-D airfoils and 3-D wings moving steadily over free water surface are investigated in detail. The iterative numerical method (IBEM) based on the Green's theorem allows separating the airfoil or wing problems and the free surface problem. Both the 2-D airfoil surface (or 3-D wing surface) and the free surface are modeled with constant strength dipole and constant strength source panels. While the kinematic boundary condition is applied on the airfoil surface or on the wing surface, the linearized kinematic-dynamic combined condition is applied on the free surface. The source strengths on the free surface are expressed in terms of perturbation potential by applying the linearized free surface conditions. No radiation condition is enforced for downstream boundary in 2-D airfoil and 3-D wing cases and transverse boundaries in only 3-D wing case. The method is first applied to 2-D NACA0004 airfoil with angle of attack of four degrees to validate the method. The effects of height of 2-D airfoil from free surface and Froude number on lift and drag coefficients are investigated. The method is also applied to NACA0015 airfoil for another validation with experiments in case of ground effect. The lift coefficient with different clearance values are compared with those of experiments. The numerical method is then applied to NACA0012 airfoil with the angle of attack of five degrees and the effects of Froude number and clearance on the lift and drag coefficients are discussed. The method is lastly applied to a rectangular 3-D wing and the effects of Froude number on wing performance have been investigated. The numerical results for wing moving under free surface have also been compared with those of the same wing moving above free surface. It has been found that the free surface can affect the wing performance significantly.

Bayes의 복합 의사결정모델을 이용한 다중에코 자기공명영상의 context-dependent 분류 (Context-Dependent Classification of Multi-Echo MRI Using Bayes Compound Decision Model)

  • 전준철;권수일
    • Investigative Magnetic Resonance Imaging
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    • 제3권2호
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    • pp.179-187
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    • 1999
  • 목적 : 본 논문은 Bayes의 복합 의사결정모델을 이용한 효과적인 다중에코 자기공명영상의 분류방법을 소개한다. 동질성을 갖는 영역 혹은 경계선부위 등 영역을 명확히 분할하기 위하여 영상 내 국소 부위 이웃시스댐상의 주변정보(contextual information)를 이용한 분류 방법을 제시한다. 대상 및 방법 : 통계학적으로이질적 성분들로 구성된 영상을 대상으로 한 주변정보를 이용한 분류결과는 영상내의 국소적으로 정적인 영역들을이웃화소시스탬 내에서 정의되는 상호작용 인자의 메커니즘에 의해 분리함으로서 개선시킬 수 있다. 영상의 분류과정에서 분류결과의 정확도를 향상시키기 위하여 분류대상화소의 주변화소에 대한 분류패턴을 이용한다면 일반적으로 발생하는 분류의 모호성을 제거한다. 그러한 이유는 특정 화소와 인접한 주변의 데이터는 본질적으로 특정 화소와 상관관계를 내재하고 있으며, 만일 주변데이터의 특성을 파악할수 있다면, 대상화소의 성질을 결정하는데 도움을 얻을 수 있다. 본 논문에서는 분류 대상화소의 주변정보와 Bayes의 복합 의사결정모델을 이용한 context-dependent 분류 방법을 제시한다. 이 모델에서 주변 정보는 국소 부위 이웃시스댐으로부터 전이확률(tran­s sition probability)을 추출하여 화소간의 상관관계의 강도를 결정하는 상호인자 값으로 사용한다. 결과 : 본논문에서는 다중에코자기공명영상의 분류를 위하여 Bayes의 복합 의사결정모델을 이용한 분류방법을 제안하였다. 주변 데이터를 고려하지 않는 context-free 분류 방법에 비하여 특히 동질성을 강는 영역 혹은 경계선 부위 등에서의 분류결과가 우수하게 나타났으며, 이는 주변정보를이용한 결과이다. 결론 : 본 논문에서는클러스터링 분석과 복합 의사결정 Bayes 모델을 이용하여 다중에코 자기공명영상의 분류 결과를 향상시키기 위한 새로운 방법을 소개하였다.

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두꺼운 원형링의 3차원적 자유진동해석 (Free Vibration Analysis of Thick Circular Ring from Three-Dimensional Analysis)

  • 양근혁;강재훈;채영호
    • 한국전산구조공학회논문집
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    • 제15권4호
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    • pp.609-617
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    • 2002
  • 본 연구에서는 이등변사다리꼴과 이등변삼각형 단면을 갖는 두꺼운 원형링의 고유진동수와 모우드형태를 결정하는 3차원 해석방법을 제시하였다. 자오선(s), 수직(z) 및 원주방향(θ)으로의 변위성분(u/sub s/, u/sub z/, u/sub θ/)을 시간에 대해서는 정현적으로, θ방향으로는 주기성을 갖도록, s와 z방향으로는 대수다항식의 형태로 표현하였다. 원형링의 위치(변형률)에너지와 운동에너지가 공식화되었으며, 진동수의 최소화를 통하여 상위경계치의 진동수를 계산하였다. 다항식의 차수를 증가시키면 진동수는 엄밀해에 수렴하게 된다. 완전자유경계의 원형링에 대한 3차원적 진동수를 최초로 구하였으며 원형링의 하위 5개 진동수에 대해서 유효숫자 4자리까지의 수렴성연구가 이루어졌다. 본 방법은 링 두께의 크기에 관계없이 적용이 가능하다.

후향단유동내 경계층의 재발달에 미치는 경계조건의 영향 (Effects of Boundary Conditions on Redevelopment of the Boundary Layer in a Backward-Facing Step Flow)

  • 김동일;이문주;전중환
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.506-511
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    • 2001
  • This paper presents how redevelopment of the boundary layer in a backward-facing step flow is affected by boundary conditions imposed on velocity at the inlet, top and exit of the flow. A two-dimensional, laminar, incompressible flow over a backward-facing step with an open top boundary has been computed by using numerical methods of second-order time and spatial accuracy and a fractional-step method that guarantees a divergence-free velocity field at all time. The inlet velocity profile above the step is of Blasius type. Along the top boundary, shear-tree and Dirichlet conditions on the streamwise velocity were considered and at the exit fully-developed and convective boundary conditions were examined. (The vertical velocity at all boundaries were assumed to be zero explicitly or implicitly.) From the computed flow fields, the reattachment on the bottom side of shear layer separated from the tip of the step and succeeding redevelopment of the boundary layer were investigated.

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A SURVEY ON AMERICAN OPTIONS: OLD APPROACHES AND NEW TRENDS

  • Ahn, Se-Ryoong;Bae, Hyeong-Ohk;Koo, Hyeng-Keun;Lee, Ki-Jung
    • 대한수학회보
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    • 제48권4호
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    • pp.791-812
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    • 2011
  • This is a survey on American options. An American option allows its owner the privilege of early exercise, whereas a European option can be exercised only at expiration. Because of this early exercise privilege American option pricing involves an optimal stopping problem; the price of an American option is given as a free boundary value problem associated with a Black-Scholes type partial differential equation. Up until now there is no simple closed-form solution to the problem, but there have been a variety of approaches which contribute to the understanding of the properties of the price and the early exercise boundary. These approaches typically provide numerical or approximate analytic methods to find the price and the boundary. Topics included in this survey are early approaches(trees, finite difference schemes, and quasi-analytic methods), an analytic method of lines and randomization, a homotopy method, analytic approximation of early exercise boundaries, Monte Carlo methods, and relatively recent topics such as model uncertainty, backward stochastic differential equations, and real options. We also provide open problems whose answers are expected to contribute to American option pricing.