• 제목/요약/키워드: Newton-Rhapson method

검색결과 11건 처리시간 0.021초

차륜과 레일 접촉위치의 수치해석에 관한 연구 (A Study on Numerical Analysis of Wheel-rail Contact Points)

  • 강주석
    • 한국철도학회논문집
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    • 제12권2호
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    • pp.236-242
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    • 2009
  • 본 연구에서는 철도차량의 차륜과 레일에 대해 플랜지 접촉을 포함하여 모든 위치예서 차륜-레일간 접촉 위치를 수치 해석적으로 구하는 방범을 제안한다. 이를 위해 차륜과 레일의 형상은 매개변수로 표현되는 3차원 곡면함수로 나타내었다. 기구학적 구속조건식을 Newton-Rhapson 방법을 이용하여 구하는 것과 차륜과 레일간 최소거리가 0이 된다는 최적화 방법을 동시에 이용하여 정확하고 효율적으로 계산하는 새로운 방법을 제안하였다.

해양도시내 분산전원의 최적 설치점 선정 (Optimal Positioning Algorithm for Distributed Energy Resources near Ocean Side)

  • 박정도;이성환;도근영;성효성;장낙원
    • 한국항해항만학회지
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    • 제33권6호
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    • pp.457-462
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    • 2009
  • 본 논문은 Newton-Rhapson법으로 조류계산을 하여 해양도시내 분산전원의 최적 설치점에 대해 연구하였다. 도시 내에 분산전원을 설치할 경우 대규모 발전소나 송전설비를 추가 건설하지 않고도 효율적으로 필요한 전력을 공급할 수 있는 장점이 있다. 따라서 전 세계적으로 분산전원은 도시 에너지원으로 주목받고 있다. 그러나 도시 내의 전원 설치지점 변경에 따른 전력손실 평가에 대한 연구는 미흡한 실정이다. 따라서 본 논문에서는 분산전원이 주변의 선로에 미치는 전력손실을 최소화 할 수 있도록, 분산전원의 최적 설치지점을 선정하는 방안을 제안한다.

저류함수형(貯溜凾數型) 비선형(非線型) 수문예측모형(水文豫測模型) (Storage Type Nonlinear Hydrological Forecasting Model)

  • 백운일;윤태훈
    • 대한토목학회논문집
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    • 제2권2호
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    • pp.29-38
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    • 1982
  • 유효강우량(有效降雨量), 섬체시간(暹滯時間) 및 유출(流出)의 비선형(非線型)을 포함하는 비선형(非線型) 수문학적(水文學的) 모형(模型)이 기술(記述)된다. 모형(模型)의 입력자료(入力資料)를 구성하는 유효강우량(有效降雨量)의 산정(算定)은 polynomial fitting 방법(方法)이 이용되었으며 섬체시간(暹滯時間)의 비선형성(非線型性)이 고려된 비선형섬체모형(非線型暹滯模型)을 남한강(南漢江) 상류(上流)에 위치한 섬강유역(蟾江流域)에 적용하여 상수(常數)값을 산정하고 종래의 방법인 fitting 방법(方法) 및 저류함수모형(貯溜凾數模型)에 변형(變型)을 가한 상관모형(相關模型)의 상수(常數)값들과 비교하였다. 각 모형(模型)에서 구한 상수(常數)값의 결과로부터 본연구(本硏究)의 수학적(數學的) 해법(解法)인 연속근사해법(連續近似解法)과 수치해법(數値解法)인 Newton-Rhapson 방법(方法)이 비선형(非線型) 유출과정해석(流出過程解析)에서 종전의 계산도해법(計算圖解法) 등에 비해 우수함이 밝혀졌다.

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덕티드 팬 무인기의 동익과 정익 공력상호작용에 대한 실험적 연구 (Experimental Study on the Aerodynamic Interaction of the Rotor and Stator for the Ducted fan UAV)

  • 류민형;조이상;조진수
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2009년도 제33회 추계학술대회논문집
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    • pp.387-391
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    • 2009
  • 소형 무인항공기 추진용 덕티드 팬의 실험적 연구가 수행되었다. 이 논문에서는 덕티드 팬의 입구, 로터 뒤, 스테이터 뒤에서 허브에서 팁 방향으로 $45^{\circ}$ 경사 열선으로 측정하여 비정상 3차원 유동 특성을 연구하였다. 경사열선 요각을 고정시켜 데이터를 획득하였다. 이 데이터는 위상평균기법을 이용하여 평균되었다. 이 데이터는 Newton-Rhapson 수치해법을 통하여 3개의 비선형 연립방정식을 풀었다. 축 방향, 반경 방향 그리고 원주 방향 속도의 윤곽을 통해 팁 후류, 이차유동 그리고 팁 누설유동과 같은 유동 특성을 확인 하였다.

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공기막 구조물의 형상해석 (Shape Finding Analysis of Pneumatic Structure)

  • 권택진;서삼열;이장복
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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    • pp.57-64
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    • 1994
  • The purpose of this paper is to find minimum surface shape of pneumatic structure using the finite element method. The pneumatic membrane structure is a kind of large deformation problem and very flexible composite material, which mean geomatric nonlinearity. It is not to resist for compression and resultant moment. As the displacement due to internal pressure is getting bigger, it should be considered the direction of forces. It becomes non-linear problem with the non-conservative force. The follower-force depends on the deformation and the direction of force is normal to each element. The solution process is obtained the new stiffness matrix (load correction matrix) depending on deformation through each iterated step. However, the stiffness matrix have not the symmetry and influence on the time of covergence. So in this paper Newton-Rhapson method for solving non-linear problem and for using symmetic matrix, the load direction is changed in each iterated step using the transformation matrix.

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NURBS 곡면에서 사각형 요소망의 자동생성 시스템 (Automatic Generation System for Quadrilateral Meshes on NURBS Surfaces)

  • 김형일;박장원;권기연;조윤원;채수원
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.894-899
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    • 2000
  • An automatic mesh generation system with unstructured quadrilateral elements on trimmed NURBS surfaces has been developed.. In this paper, NURBS surface geometries in the IGES format have been used to represent model shape. NURBS surface is represented as parametric surface. So each surface could be mapped to a 2D parametric plane through the parametric domain. And then meshes with quadrilateral elements are constructed in this plane. Finally, the constructed meshes are mapped back to the original 3D surface through the parametric domain. In this paper, projection plane, quasi-expanded plane and parametric Plane are used as 2D mesh generation plane. For mapping 3D surface to parametric domain, Newton-Rhapson Method is employed. For unstructured mesh generation with quadrilateral elements on 2D plane, a domain decomposition algorithm using loop operators has been employed. Sample meshes are represented to demonstrate the effectiveness of the proposed algorithm.

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Magnetic Saturation Effect of the Iron Core in Current Transformers Under Lightning Flow

  • Kim, Young Sun
    • Transactions on Electrical and Electronic Materials
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    • 제18권2호
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    • pp.97-102
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    • 2017
  • A current transformer (CT) is a type of sensor that consists of a combination of electric and magnetic circuits, and it measures large ac currents. When a large amount of current flows into the primary winding, the alternating magnetic flux in the iron core induces an electromotive force in the secondary winding. The characteristics of a CT are determined by the iron core design because the iron core is saturated above a certain magnetic flux density. In particular, when a large current, such as a current surge, is input into a CT, the iron core becomes saturated and the induced electromotive force in the secondary winding fluctuates severely. Under these conditions, the CT no longer functions as a sensor. In this study, the characteristics of the secondary winding were investigated using the time-difference finite element method when a current surge was provided as an input. The CT was modeled as a two-dimensional analysis object using constraints, and the saturation characteristics of the iron core were evaluated using the Newton-Rhapson method. The results of the calculation were compared with the experimental data. The results of this study will prove useful in the designs of the iron core and the windings of CTs.

Experimental Study on Tip Clearance Effects for Performance Characteristics of Ducted Fan

  • ;최현민;조진수
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2009년도 제33회 추계학술대회논문집
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    • pp.395-398
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    • 2009
  • Currently, a new generation of ducted fan UAVs (Unmanned Aerial Vehicles) is under development for a wide range of inspection, investigation and combat missions as well as for a variety of civil roles like traffic monitoring, meteorological studies, hazard mitigation etc. The current study presents extensive results obtained experimentally in order to investigate the tip clearance effects on performance characteristics of a ducted fan for small UAV systems. Three ducted fans having different tip clearance gap and with same rotor size were examined under three different yawed conditions of calibrated slanted hot-wire probe. Three dimensional velocity flow fields were measured from hub to tip at outlet of the ducted fan. The analysis of data were done by PLEAT (Phase locked Ensemble Averaging Technique) and three non-linear differential equations were solved simultaneously by using Newton -Rhapson numerical method. Flow field characteristics such as tip vortex and secondary flow were confirmed through axial, radial and tangential velocity contour plots. At the same time, the effects of tip clearance on axial thrust and input power were also investigated by using wind tunnel measurement system. For enhancing the performance of ducted fan, tip clearance level should be as small as possible.

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해양도시내 분산전원의 최적 설치점 선정 (Positioning Algorithm considering Distributed Energy Resource of Ocean Side)

  • 성효성;장낙원;박정도;이성환;도근영;이정재
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2009년도 공동학술대회
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    • pp.287-288
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    • 2009
  • 분산발전원의 위치 변경에 따른 전력조류 및 송전전력 손실 평가를 통하여 도시차원에 적합한 발전원 설치점 선정 기법의 개발이 시급하다. 본 연구에서는 전력손실을 고려하여, 분산전원이 주변의 모선 및 선로에 미치는 영향을 최소화 할 수 있도록, 분산전원의 설치지점을 선정하는 방안을 제안한다.

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보 이론을 이용한 대퇴골 재생성의 해석 (Book Remodeling Analysis of Femur Using Hybrid Beam Theory)

  • 김승종;정재연;하성규
    • 대한기계학회논문집A
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    • 제24권2호
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    • pp.329-337
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    • 2000
  • An investigation has been performed to develop an analysis tool based on a nonlinear beam theory, which can be used to predict the long-term behavior of an artificial hip joint. The nonlinear behav ior of the femur arise from the coupled dependence of the bone density and the mechanical properties on each other. The beam theory together with its numerical algorithm is developed to take into account the nonlinear bone remodeling process of the femur that is long enough to be assumed as a beam. A piecewise linear curve for the bone remodeling rate is used in the bone remodeling theory and the surface area density of bone is modeled as the third order polynomial function of bone density. At each section of the beam, a constant curvature is assumed and the longitudinal strains are also assumed to vary linearly across the section. The Newton-Rhapson iteration method is used to solve the nonlinear equations for each cross section of the bone and a backward method is used to march along the time. The density and the remodeling signal ar, calculated along with time for the various time steps, and the developed beam theory has been verified by comparing with the results of finite element analysis of a remodeling bone with an artificial hip joint of titanium prosthesis subjected to uni-axial loads and pure bending moment. It is concluded that the developed beam theory can be used to predict the long-term behavior of the femur and thus to design the artificial hip prosthesis.