• Title/Summary/Keyword: 근사해석법

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Analysis of the Chopper Fed DC Motor Control System Using State Space Averaging Method (상대 평균화법에 의한 초퍼구동 DC모터 제어 시스템의 해석)

  • 정헌상;백형래;이상일;조금배;유권종;이완권
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.8 no.5
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    • pp.56-64
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    • 1994
  • 본 논문은 직류초퍼구동 전동기 제어시스템을 해석 대상으로 하여 전류 연속모드와 전류 불연속모드의 양 모드 동작시에 있어서의 해석을 상태변수법과 상태평균화법을 적용하여 해석하였으며 두 해석 방법의 결과를 비교 검토함과 동시에 상태평균화법에 의하여 시스템의 해석이 근사적이지만 해석이 용이하다는 것을 나타내고 있다. 또한, 본 시스템의 궤환루프 제어시스템에 있어서 상태평균화법을 이용한 평형점 근방의 근사 선형화 방법을 적용함으로써 전달 매트릭스의 형태로 동특성을 표현할 수 있으며, 이것을 이용한 선형 제어법을 적용하여 궤환루프 제어계의 설계기법을 제시하고 있다.

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Structural Optimization of a RC Building for Minimizing Weight (중량 최소화를 위한 RC 빌딩의 구조 최적설계)

  • Park, Chang-Hyun;Ahn, Hee-Jae;Choi, Dong-Hoon;Jung, Cheul-Kyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.5
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    • pp.501-507
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    • 2010
  • Structural optimization is performed to minimize the weight of a RC building structure, which has eight floors above ground and three underground, under gravity, wind, and seismic loads. Design optimization problem is formulated to find the values of the design variables that minimize the volume while satisfying various design and side constraints. To solved the optimization problem posed, several design techniques equipped in PIAnO, a commercial PIDO tool, are used. DOE is used to generate training points and structural analysis is performed using MIADS Gen, a general-purpose structural analysis CAE tool. Then, meta-models are generated from structural analysis results and accuracies of meta-models are evaluated. Next, design optimization is performed by using the verified meta-models and optimization technique equipped in PIAnO. Finally, we obtained optimal results, which could demonstrate the effectiveness of our design method.

A Fast Inversion Method for Interpreting Single-Hole Electromagnetic Data (단일 시추공 전자탐사 자료 해석을 위한 빠른 역산법)

  • Kim, Hee-Joon;Lee, Jung-Mo
    • Geophysics and Geophysical Exploration
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    • v.5 no.4
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    • pp.316-322
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    • 2002
  • A computationally efficient inversion scheme has been developed using the extended Born or localized nonlinear approximation to analyze electromagnetic fields obtained in a single-hole environment. The medium is assumed to be cylindrically symmetric about the borehole, and to maintain the symmetry vertical magnetic dipole source is used throughout. The efficiency and robustness of an inversion scheme is very much dependent on the proper use of Lagrange multiplier, which is often provided manually to achieve desired convergence. In this study, an automatic Lagrange multiplier selection scheme has been developed to enhance the utility of the inversion scheme in handling field data. The inversion scheme has been tested using synthetic data to show its stability and effectiveness.

Distributed Process of Approximate Shape Optimization Based on the Internet (인터넷 기반 근사 형상최적설계의 분산처리)

  • Lim, O-Kaung;Choi, Eun-Ho;Kim, Woo-Hyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.4
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    • pp.317-324
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    • 2008
  • Optimum design for general or complex structures are required to the need of many numbers of structural analyses. However, current computational environment with single processor is not capable of generating a high-level efficiency in structural analysis and design process for complex structures. In this paper, a virtual parallel computing system communicated by an internet of personal computers and workstation is constructed. In addition, a routine executing Pro/E, ANSYS and optimization algorithm automatically are adopted in the distributed process technique of sequential approximate optimization for the purpose of enhancing the flexibility of application to general structures. By employing the distributed processing technique during structural analysis using commercial application, total calculation time could be reduced, which will enhance the applicability of the proposed technique to the general complex structures.

Suggestion for a splitting technique of the square-root operator of three dimensional acoustic parabolic equation based on two variable rational approximant with a factored denominator (인수분해 된 분모를 갖는 두 변수 유리함수 근사에 기반한 3차원 음향 포물선 방정식 제곱근 연산자의 분할기법 제안)

  • Lee, Keunhwa
    • The Journal of the Acoustical Society of Korea
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    • v.36 no.1
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    • pp.1-11
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    • 2017
  • In this study, novel approximate form of the square-root operator of three dimensional acoustic Parabolic Equation (3D PE) is proposed using a rational approximant for two variables. This form has two advantages in comparison with existing approximation studies of the square-root operator. One is the wide-angle capability. The proposed form has wider angle accuracy to the inclination angle of ${\pm}62^{\circ}$ from the range axis of 3D PE at the bearing angle of $45^{\circ}$, which is approximately three times the angle limit of the existing 3D PE algorithm. Another is that the denominator of our approximate form can be expressed into the product of one-dimensional operators for depth and cross-range. Such a splitting form is very preferable in the numerical analysis in that the 3D PE can be easily transformed into the tridiagonal matrix equation. To confirm the capability of the proposed approximate form, comparative study of other approximation methods is conducted based on the phase error analysis, and the proposed method shows best performance.

Computation of Stress Intensity Factors using Generalized Finite Element Method (일반유한유소법을 이용한 응력확대계수 계산)

  • Hong, Won-Tak;Lee, Phill-Seung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.52-55
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    • 2010
  • 본 논문에서는 일반유한요소법(Generalized Finite Element Method)를 이용하여 응력확대계수를 계산하는 방법을 소개한다. 기존의 유한요소법을 사용하여 응력확대계수를 계산하기위해서는 J-integral 방법 등을 이용한 후처리 과정이 필수적으로 요구된다. 뿐만 아니라 균열선단 근방에서의 응력을 기술하기 위해서는 세밀한 요소망(mesh)이 요구된다. 후처리 과정과 균열선단 근방에서의 요소망은 수치적 오류를 발생시키고 이는 정확한 응력확대계수를 얻는데 어려움을 준다. 일반유한요소법은 근사함수를 요소망의 영향 없이 추가해서 사용할 수 있는 장점을 가지고 있지만, 활용성 측면에서 기존의 유한요소법보다 복잡하여 실용성이 떨어진다. 본 논문에서는 일반유한요소법의 장점을 충분히 살려 균열선단근방에서는 응력을 모델링하여 근사함수로 사용하고 균열선단에서 거리가 먼 곳은 기존의 유한요소를 써서 계산을 하였다. 특별한 후처리 과정(Post processing) 없이 비교적 정확한 응력확대계수를 손쉽게 얻을 수 있다. 일반유한요소법을 이용한 제시된 방법론이 타당함을 수치 예제를 통하여 확인하였다.

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Paddle Shift Analysis During Semiconductor Encapsulation (반도체 캡슐화 성형 공정에 있어서 패들 변형 해석)

  • Han, Se-Jin;Huh, Yong-Jeong
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.5
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    • pp.147-156
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    • 2001
  • 본 연구에서는 칩 캡슐화 성형 공정 중의 패들 변형을 해석하기 위한 방법론이 연구되었다. 헬레쇼오 근사 모델에 근거한 유한요소법이 칩 캐비티에서의 유동 해석을 위해 사용되었다. 리드 프레임 상의 구멍을 통한 통과 유동해석을 위한 근사모델이 제안되었다. 본 연구에서 제시된 해석모델에 의해 계산된 값과 실험 값은 잘 일치하였다. 유동해석을 통하여 리드프레임과 패들에 의해 경계를 이루고 있는 상, 하 캐비티간의 압력차가 계산되었다. 최종적으로 패들 변형이 압력차 계산 값을 이용하여 계산되게 된다.

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Wave-Front Error Reconstruction Algorithm Using Moving Least-Squares Approximation (이동 최소제곱 근사법을 이용한 파면오차 계산 알고리즘)

  • Yeon, Jeoung-Heum;Kang, Gum-Sil;Youn, Heong-Sik
    • Korean Journal of Optics and Photonics
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    • v.17 no.4
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    • pp.359-365
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    • 2006
  • Wave-front error(WFE) is the main parameter that determines the optical performance of the opto-mechanical system. In the development of opto-mechanics, WFE due to the main loading conditions are set to the important specifications. The deformation of the optical surface can be exactly calculated thanks to the evolution of numerical methods such as the finite element method(FEM). To calculate WFE from the deformation results of FEM, another approximation of the optical surface deformation is required. It needs to construct additional grid or element mesh. To construct additional mesh is troublesomeand leads to transformation error. In this work, the moving least-squares approximation is used to reconstruct wave front error It has the advantage of accurate approximation with only nodal data. There is no need to construct additional mesh for approximation. The proposed method is applied to the examples of GOCI scan mirror in various loading conditions. The validity is demonstrated through examples.

Higher Order Parabolic Equation Modeling Using Galerkin's Method (Galerkin방법을 이용한 고차 포물선 방정식 수중음 전달 해석)

  • 이철원;성우제;정문섭
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.4
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    • pp.71-77
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    • 1999
  • Exact forward modeling of acoustic propagation is crucial in MFP such as inverse problems and various other acoustic applications. As acoustic propagation in shallow water environments become important, range dependent modeling has to be considered of which PE method is considered as one of the most accurate and relatively fast. In this paper higher order numerical rode employing the PE method is developed. To approximate the depth directional operator, Galerkin's method is used with partial collocation to lessen necessary calculations. Linearization of tile depth directional operator is achieved via expansion into a multiplication form of (equation omitted) approximation. To approximate the range directional equation, Crank-Nicolson's method is used. Final1y, numerical self stater is employed. Numerical tests are performed for various occan environment scenarios. The results of these tests are compared to exact solutions, OASES and RAM results.

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