• Title/Summary/Keyword: 차원 감소법

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신속한 3차원 전자탐사 모델링

  • Jo, In-Gi;Kim, Ha-Rim
    • Journal of the Korean Geophysical Society
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    • v.5 no.1
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    • pp.63-71
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    • 2002
  • The integral equation method is a powerful tool for electromagnetic numerical modeling. But the difficulty of this technique is the size of their linear equations, which demands excessive memory and calculation time to invert. This limitation of the integral equation method becomes critical in inverse problem. To overcome this limitation, a lot of approximation and series methods, such as conventional Born, modifed Born and extended Born, were developed. But all the methods need volume integration of Green tensor, which is very time consuming. In electromagnetic theory, Green tensor rapidly decreases as the distance between source and field cell increases. Therefore, the source cell which are far away from the field cell does not make an effect on the electric field of the field cell. Consequently, by ignoring the effect of Green tensor due to far away source cells, computing time for electromagnetic numerical modeling can be reduced dramatically. Comparisons of this new method against a full integral equation, extended Born approximation and series code show that the method is accurate enough much less time consuming.

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Analysis of Thermal Characteristics of Piezoelectric Transformer for Converter by Finite Element Method (유한 요소법을 이용한 컨버터용 압전 변압기의 온도 특성 해석)

  • Joo, Hyun-Woo;Jung, Hyun-Kyo
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.07b
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    • pp.753-756
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    • 2004
  • 최근 전자 부품으로써 널리 사용되는 압전 변압기근 고전계 구동시 야기되는 압전체의 기계적인 진동 손실 및 유전 손실에 의해 높은 온도 상승이 초래된다. 이는 압전 변압기의 동작 특성 변화를 일으키며 결국 안전 변압기의 공진 주파수의 변화 및 효율의 감소 등 비선형성의 원인이 된다. 본 논문에서는 유한 요소법을 이용한 압전 변압기의 공진 특성을 해석하였으며 이를 이용하여 압전 변압기의 기계저인 진동 손실 및 유전 손실을 계산하였다. 또한 유한 요소법을 이용한 3차원 열전달 방정식의 해석을 이용하여 암전 변압기의 온도 분포를 해석하였으며 이를 실험적으로 검증하였다.

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Efficient 3-D Beam Propagation Algorithm for Application Photonic Devices Analysis (광소자의 해석을 위한 효율적인 3차원 광전파방법)

  • Shin, Byung-Seon;Lim, Dong-Cheol;An, Gyoo-Chul;Choi, Byung-Ha
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.36D no.1
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    • pp.74-82
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    • 1999
  • We proposed an efficient beam Propagation Method(BPM) algorithm for 3-D analysis, which can handle great amount of data on PC efficiently. The new algorithm, which is an expanded version of DuFort-Frankel algorithm for 3-D analysis, can reduce the number of computations for a given BPM analysis. The algorithm was applied to a rib-type directional coupler to find the same results as those from the coupled mode theory.

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Cu Filling process of Through-Si-Via(TSV) with Single Additive (단일 첨가액을 이용한 Cu Through-Si-Via(TSV) 충진 공정 연구)

  • Jin, Sang-Hyeon;Lee, Jin-Hyeon;Yu, Bong-Yeong
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2016.11a
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    • pp.128-128
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    • 2016
  • Cu 배선폭 미세화 기술은 반도체 디바이스의 성능 향상을 위한 핵심 기술이다. 현재 배선 기술은 lithography, deposition, planarization등 종합적인 공정 기술의 발전에 따라 10x nm scale까지 감소하였다. 하지만 지속적인 feature size 감소를 위하여 요구되는 높은 공정 기술 및 비용과 배선폭 미세화로 인한 재료의 물리적 한계로 인하여 배선폭 미세화를 통한 성능의 향상에는 한계가 있다. 배선폭 미세화를 통한 2차원적인 집적도 향상과는 별개로 chip들의 3차원 적층을 통하여 반도체 디바이스의 성능 향상이 가능하다. 칩들의 3차원 적층을 위해서는 별도의 3차원 배선 기술이 요구되는데, TSV(through-Si-via)방식은 Si기판을 관통하는 via를 통하여 chip간의 전기신호 교환이 최단거리에서 이루어지는 가장 진보된 형태의 3차원 배선 기술이다. Si 기판에 $50{\mu}m$이상 깊이의 via 및 seed layer를 형성 한 후 습식전해증착법을 이용하여 Cu 배선이 이루어지는데, via 내부 Cu ion 공급 한계로 인하여 일반적인 공정으로는 void와 같은 defect가 형성되어 배선 신뢰성에 문제를 발생시킨다. 이를 해결하기 위해 각종 유기 첨가제가 사용되는데, suppressor를 사용하여 Si 기판 상층부와 via 측면벽의 Cu 증착을 억제하고, accelerator를 사용하여 via 바닥면의 Cu 성장속도를 증가시켜 bottom-up TSV filling을 유도하는 방식이 일반적이다. 이론적으로, Bottom-up TSV filling은 sample 전체에서 Cu 성장을 억제하는 suppressor가 via bottom의 강한 potential로 인하여 국부적 탈착되고 via bottom에서만 Cu가 증착되어 되어 이루어지므로, accelerator가 없이도 void-free TSV filling이 가능하다. Accelerator가 Suppressor를 치환하여 오히려 bottom-up TSV filling을 방해한다는 보고도 있었다. 본 연구에서는 유기 첨가제의 치환으로 인한 TSV filling performance 저하를 방지하고, 유기 첨가제 조성을 단순화하여 용액 관리가 용이하도록 하기 위하여 suppressor만을 이용한 TSV filling 연구를 진행하였다. 먼저, suppressor의 흡착, 탈착 특성을 이해하기 위한 연구가 진행되었고, 이를 바탕으로 suppressor만을 이용한 bottom-up Cu TSV filling이 진행되었다. 최종적으로 $60{\mu}m$ 깊이의 TSV를 1000초 내에 void-free filling하였다.

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3-D Frame Design Using Second-Order Plastic-Hinge Analysis Accounting for Lateral Torsional Buckling (횡비틀림좌굴을 고려하는 2차 소성힌지해석을 이용한 3차원 강뼈대 구조물 설케)

  • 김승억;박주수
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.117-126
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    • 2002
  • In this paper, 3-D fame design using second-orders plastic-hinge analysis accounting for lateral torsional buckling is developed. This analysis accounts for material and geometric nonlinearities of the structural system and its component members. Moreover, the problem associated with conventional second-order plastic-hinge analyses, which do not consider the degradation of the flexural strength caused by lateral torsional buckling, is overcome. Efficient ways of assessing steel frame behavior including gradual yielding associated with residual stresses and flexure, second-order effect, and geometric imperfections are presented. In this study, a model consisting of the unbraced length and cross-section shape is used to account for lateral torsional buckling. The proposed analysis is verified by the comparison of the LRFD results. A case studs shows that lateral torsional buckling is a very crucial element to be considered in second-order plastic-hinge analysis. The proposed analysis is shown to be an efficient reliable tool ready to be implemented into design practice.

3-D Frame Analysis and Design Using Refined Plastic-Hinge Analysis Accounting for Local Buckling (국부좌굴을 고려하는 개선소성힌지해석을 이용한 3차원 강뼈대 구조물 해석 및 설계)

  • Kim, Seung Eock;Park, Joo Soo
    • Journal of Korean Society of Steel Construction
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    • v.14 no.1
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    • pp.13-21
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    • 2002
  • In this paper, 3-D frame design using refined plastic-hinge analysis accounting for local buckling is developed. This analysis accounts for material and geometric nonlinearities of the structural system and its component members. Moreover, the problem associated with conventional refined plastic-hinge analyses, which do not consider the degradation of the flexural strength caused by local buckling, is overcome. Efficient ways of assessing steel frame behavior including gradual yielding associated with residual stresses and flexure, second-order effect, and geometric imperfections are presented. In this study, a model consisting of the width-thickness ratio is used to account for local buckling. The proposed analysis is verified by the comparison of the LRFD results. A case study shows that local buckling is a very crucial element to be considered in second-order plastic-hinge analysis. The proposed analysis is shown to be an efficient, reliable tool ready to be implemented into design practice.

Parametric Studies of Slope stability Analysis by 3D FEM Using Strength Reduction Method (강도감소법에 의한 3차원 사면안정해석에 대한 매개변수 연구)

  • Kim, Young-Min
    • Journal of the Korean Geosynthetics Society
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    • v.15 no.4
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    • pp.25-32
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    • 2016
  • The two-dimensional (2D) analysis is widely used in geotechnical engineering for slope stability analysis assuming a plane-strain condition. It is implicitly assumed that the slip surface is infinitely wide, and thus three-dimensional (3D) end effects are negligible because of the infinite width of the slide mass. The majority of work on this subject suggests that the 2D factor of safety is conservative (i.e. lower than the 'true' 3D factor of safety). Recently, the 3D finite element method (FEM) became more attractive due to the progress of computational tools including the computer hardware and software. This paper presents the numerical analyses on rotational mode and translational mode slopes using the 2D and 3D FEM as well as 2D limit equilibrium methods (LEM). The results of the parametric study on the slope stability due to mesh size, dilatency angle, boundary conditions, stress history and model dimensions change are analysed. The analysis showed that the factor of safety in 3D analysis is always higher than that in the 2D analysis and the discrepancy of the slope width in W direction on the factor of safety is ignored if the roller type of W direction conditions is applied.

Estimation of Equivalent Hydrodynamic Coefficients by Bean Permutation Technique (보치환법에 의한 등가 유체력계수 산정)

  • 박춘군
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.2
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    • pp.81-86
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    • 2000
  • For on-shore structures, dynamic analysis becomes increasingly important as the water depth increases and the structural configuration becoines slenderer. In this study, an estimation method for equivalent three dimensional (30) hydrodynamic coefficients is introduced as a part of beam permutation technique development. The beam pemlUtation technique is being developed for obtaining an equivalent beam to a frame structure in order to reduce the degrees of freedom and thus the analysis time significantly. Two 3D structures are used in order to verify the obtained equivalent 3D hydrodynamic coefficients. Two commercial softwares, ANSYS and SACS, are used for the verification. The results of the present analysis are found to be satisfactory in comparison with those by the two softwares.

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Heat Transfer on Supersonic Nozzle using Combined Boundary Layer Integral Method (수치해석 통합기법을 이용한 노즐 내열재 표면의 열전달 해석)

  • Bae, Ji-Yeul;Bae, Hyung Mo;Ryu, Jin;Ham, Heecheol;Cho, Hyung Hee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.1
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    • pp.47-53
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    • 2017
  • A boundary layer integral combined with a 1-D isentropic core flow model has been successfully used to determine heat transfer rate on the surface of a supersonic nozzle. However its accuracy is affected by the core flow condition which is used as a boundary condition for the integral calculation. Because flow behavior near a nozzle throat deviates from 1-D isentropic condition due to 2-D flow turning and interaction between core flow and boundary layer, accuracy of heat transfer calculation decreases at a nozzle throat. Therefore, CFD is adopted to deduce improved core flow condition and increase accuracy of boundary layer integral at nozzle throat in this research. Euler model and SST $k-{\omega}$ model is solved by CFD code and used as a boundary condition for boundary layer integral. Developed code is tested in the supersonic nozzle from the previous research and improvement in accuracy is observed, especially at nozzle throat and diverging section of the nozzle. Error between experimental result and calculation result reduced by 16% when a calculation is made based on the SST $k-{\omega}$ model. Method developed in this research is expected to be used in thermal design of the rocket nozzle.

An Image Processing Method for Aligning the Positions of Semiconductor Package using Principal Component Analysis (주성분분석법을 이용한 반도체패키지의 위치정렬 영상처리기법)

  • Kim, Hak-Man
    • Proceedings of the KAIS Fall Conference
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    • 2009.12a
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    • pp.850-853
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    • 2009
  • 반도체 조립공정에서 사용되는 Pick and Placement장비는 반도체패키지를 컴퓨터 비젼을 이용하여 위치 정렬하고 Placement Tray에 적재하는 장비로서 고속,고정밀도가 요구된다. 다변량 통계적 분석방법인 주성분 분석법은 주어진 데이터에서 특징이 되는 일정한 패턴을 찾는 방법으로 영상의 차원감소를 위해 최근 많이 사용되어지고 있다. 본 논문에서는 반도체패키지의 기하학적 형태를 이용하여 위치정렬을 하도록 한 후 성능을 검증하도록 하였다. 패키지 원영상에서 밝기값의 차이에 따른 윤곽선을 인식한 후, 각 위치값들을 주성분 분석법을 이용해 직선을 추출한 방법으로 위치정렬한 결과 신뢰할만한 위치정렬 성능을 보였다.

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