• 제목/요약/키워드: Matrix coefficients

검색결과 498건 처리시간 0.022초

Coupled neutronics/thermal-hydraulic analysis of ANTS-100e using MCS/RAST-F two-step code system

  • Tung Dong Cao Nguyen;Tuan Quoc Tran;Deokjung Lee
    • Nuclear Engineering and Technology
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    • 제55권11호
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    • pp.4048-4056
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    • 2023
  • The feasibility of using the Monte Carlo code MCS to generate multigroup cross sections for nodal diffusion simulations RAST-F of liquid metal fast reactors is investigated in this paper. The performance of the MCS/RAST-F code system is assessed using steady-state simulations of the ANTS-100e core. The results show good agreement between MCS/RAST-F and MCS reference solutions, with a keff difference of less than 77 pcm and root-mean-square differences in radial and axial power of less than 0.5% and 0.25%, respectively. Furthermore, the MCS/RAST-F reactivity feedback coefficients are within three standard deviations of the MCS coefficients. To validate the internal thermal-hydraulic (TH) feedback capability in RAST-F code, the coupled neutronic/TH1D simulation of ANTS-100e is performed using the case matrix obtained from MCS branch calculations. The results are compared to those obtained using the MARS-LBE system code and show good agreement with relative temperature differences in fuel and coolant of less than 0.8%. This study demonstrates that the MCS/RAST-F code system can produce accurate results for core steady-state neutronic calculations and for coupled neutronic/TH simulations.

공작기계 볼트결합부의 전산모델링 (Computational Modeling of Bolt Joint for Machine Tools)

  • 이재학;하태호;이찬홍
    • 한국정밀공학회지
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    • 제29권10호
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    • pp.1070-1077
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    • 2012
  • Virtual machine tools have been magnified recently as manufacturers could estimate performances of machine tools before design and manufacturing of them. However, it requires much time and efforts to make FEM models and predict precision of machine tools well because machine tools are composed of many joints such as bolt joints, LM joints, rotational bearing joints and mounts. Especially, we have studied computational modeling methods of bolt joints to predict precision of machine tools well in this paper. Stiffness and damping coefficients of bolt joints are investigated and generalized with respect to fasten forces through experiments and FEM analysis. Matrix 27 element of ANSYS is used and bolt joints are simplified as square areas with 8 nodes to apply stiffness and damping simultaneously. Additionally, coordinate transformation of matrix 27 for bolt joints is induced to apply to skewed bolt joints of machine tools and evaluate it using FEM analysis.

UNCERTAINTY PROPAGATION ANALYSIS FOR YONGGWANG NUCLEAR UNIT 4 BY MCCARD/MASTER CORE ANALYSIS SYSTEM

  • Park, Ho Jin;Lee, Dong Hyuk;Shim, Hyung Jin;Kim, Chang Hyo
    • Nuclear Engineering and Technology
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    • 제46권3호
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    • pp.291-298
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    • 2014
  • This paper concerns estimating uncertainties of the core neutronics design parameters of power reactors by direct sampling method (DSM) calculations based on the two-step McCARD/MASTER design system in which McCARD is used to generate the fuel assembly (FA) homogenized few group constants (FGCs) while MASTER is used to conduct the core neutronics design computation. It presents an extended application of the uncertainty propagation analysis method originally designed for uncertainty quantification of the FA FGCs as a way to produce the covariances between the FGCs of any pair of FAs comprising the core, or the covariance matrix of the FA FGCs required for random sampling of the FA FGCs input sets into direct sampling core calculations by MASTER. For illustrative purposes, the uncertainties of core design parameters such as the effective multiplication factor ($k_{eff}$), normalized FA power densities, power peaking factors, etc. for the beginning of life (BOL) core of Yonggwang nuclear unit 4 (YGN4) at the hot zero power and all rods out are estimated by the McCARD/MASTER-based DSM computations. The results are compared with those from the uncertainty propagation analysis method based on the McCARD-predicted sensitivity coefficients of nuclear design parameters and the cross section covariance data.

유전체실린더로 둘러 싸인 완전 도체스트립에 의한 TM파의 산란 (TM Wave Scattering by the Perfectly Conducting Strip Loaded with a Dielectric Cylinder)

  • 김남태;이상설
    • 대한전자공학회논문지
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    • 제27권3호
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    • pp.7-12
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    • 1990
  • 상이한 유전율의 유전체실린더로 완전 도체스트립이 둘러 싸여 있을 때 도체스트립에 의한 산란현상을 해석하였다. 보조전자계를 도입하여 가역정리를 적용함으로서 미지전계에 대한 적분방정식이 유도되며 이는 적절한 경계조건에 의하여 등가행렬방정식으로 변형된다. 이 행렬방정식으로 부터 미지계수의 역행렬을 구함으로서 산란전자계가 결정된다. 본 논문에서 얻어진 결과는 특수한 경우로서 실린더의 유전율을 같게 했을때 기존의 연구결과와 잘일치한다.

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Quadratic inference functions in marginal models for longitudinal data with time-varying stochastic covariates

  • Cho, Gyo-Young;Dashnyam, Oyunchimeg
    • Journal of the Korean Data and Information Science Society
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    • 제24권3호
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    • pp.651-658
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    • 2013
  • For the marginal model and generalized estimating equations (GEE) method there is important full covariates conditional mean (FCCM) assumption which is pointed out by Pepe and Anderson (1994). With longitudinal data with time-varying stochastic covariates, this assumption may not necessarily hold. If this assumption is violated, the biased estimates of regression coefficients may result. But if a diagonal working correlation matrix is used, irrespective of whether the assumption is violated, the resulting estimates are (nearly) unbiased (Pan et al., 2000).The quadratic inference functions (QIF) method proposed by Qu et al. (2000) is the method based on generalized method of moment (GMM) using GEE. The QIF yields a substantial improvement in efficiency for the estimator of ${\beta}$ when the working correlation is misspecified, and equal efficiency to the GEE when the working correlation is correct (Qu et al., 2000).In this paper, we interest in whether the QIF can improve the results of the GEE method in the case of FCCM is violated. We show that the QIF with exchangeable and AR(1) working correlation matrix cannot be consistent and asymptotically normal in this case. Also it may not be efficient than GEE with independence working correlation. Our simulation studies verify the result.

다공성 기지를 갖는 복합재의 이미지 기반 전산 모형화 및 기공 탄성 계수 산출 (Image-Based Computational Modeling of Porous Matrix Composites and Calculation of Poroelastic Coefficients)

  • 김성준;신의섭
    • 대한기계학회논문집A
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    • 제38권5호
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    • pp.527-534
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    • 2014
  • 본 논문에서는 이미지 기반 전산 모형을 이용하여 섬유강화 복합재료의 기공 탄성 해석을 수행하였다. 먼저 다공성 기지에 대한 단면 이미지를 분석하여 기공도, 기공 개수, 기공 분포 등을 확인하였다. 이미지의 해상도, 위치, 크기에 따른 전산 모형화 및 유한요소 해석을 수행하였으며, 주요 결과로써 유효 탄성 계수, 기공 탄성 인자, 변형 에너지 밀도를 정량적으로 산출하였다. 기공 탄성 인자는 유효 탄성 계수와 기공 압력에 의한 팽창 변형도를 기준으로 계산하였다. 또한 이미지 기반 전산 모형을 이용한 기공 탄성 해석 결과의 신뢰성 확인을 위해, 기공의 형상 및 배열을 단순화시킨 대표 체적 요소 모형의 해석 결과와 비교하였다.

Analysis of Symmetric and Periodic Open Boundary Problem by Coupling of FEM and Fourier Series

  • Kim, Young Sun
    • Journal of Magnetics
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    • 제18권2호
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    • pp.130-134
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    • 2013
  • Most electrical machines like motor, generator and transformer are symmetric in terms of magnetic field distribution and mechanical structure. In order to analyze these problems effectively, many coupling techniques have been introduced. This paper deals with a coupling scheme for open boundary problem of symmetric and periodic structure. It couples an analytical solution of Fourier series expansion with the standard finite element method. The analytical solution is derived for the magnetic field in the outside of the boundary, and the finite element method is for the magnetic field in the inside with source current and magnetic materials. The main advantage of the proposed method is that it retains sparsity and symmetry of system matrix like the standard FEM and it can also be easily applied to symmetric and periodic problems. Also, unknowns of finite elements at the boundary are coupled with Fourier series coefficients. The boundary conditions are used to derive a coupled system equation expressed in matrix form. The proposed algorithm is validated using a test model of a bush bar for the power supply. And the each result is compared with analytical solution respectively.

최적화 정수형 여현 변환 (Optimized Integer Cosine Transform)

  • 이종하;김혜숙;송인준;곽훈성
    • 전자공학회논문지B
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    • 제32B권9호
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    • pp.1207-1214
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    • 1995
  • We present an optimized integer cosine transform(OICT) as an alternative approach to the conventional discrete cosine transform(DCT), and its fast computational algorithm. In the actual implementation of the OICT, we have used the techniques similar to those of the orthogonal integer transform(OIT). The normalization factors are approximated to single one while keeping the reconstruction error at the best tolerable level. By obtaining a single normalization factor, both forward and inverse transform are performed using only the integers. However, there are so many sets of integers that are selected in the above manner, the best OICT matrix obtained through value minimizing the Hibert-Schmidt norm and achieving fast computational algorithm. Using matrix decomposing, a fast algorithm for efficient computation of the order-8 OICT is developed, which is minimized to 20 integer multiplications. This enables us to implement a high performance 2-D DCT processor by replacing the floating point operations by the integer number operations. We have also run the simulation to test the performance of the order-8 OICT with the transform efficiency, maximum reducible bits, and mean square error for the Wiener filter. When the results are compared to those of the DCT and OIT, the OICT has out-performed them all. Furthermore, when the conventional DCT coefficients are reduced to 7-bit as those of the OICT, the resulting reconstructed images were critically impaired losing the orthogonal property of the original DCT. However, the 7-bit OICT maintains a zero mean square reconstruction error.

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조합 $_nC_2$을 이용한 시각암호의 구현 (Visual Cryptography Using the Number of $_nC_2$)

  • 김문수;강미광
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제22권4호
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    • pp.515-531
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    • 2008
  • 현대 사회에서 정보보안의 문제는 사회적 큰 이슈이므로 이에 필수적인 암호에 대한 사회적 관심도가 높아지고 있다. 암호기법 중 시각암호기법은 행렬과 조합, 이항정리와 같은 고등학교 수준의 수학내용이 실제로 어떻게 응용되는가를 보여줄 뿐 아니라 수학에 흥미가 있는 학생이라면 쉽게 접근할 수 있는 부분이다. 이 논문에서는 n개의 슬라이드 중 2개를 겹치면 비밀정보를 복원할 수 있는 (2,n) 시각암호 기법에서 표본행렬을 이용하여 비밀분산을 가능하게 하는 방법을 소개한다. 간단한 표본행렬을 이용하여 복수의 휘도를 허용함으로서 확장 화소의 수를 대폭적으로 줄일 수 있는 구성법과 그룹화에 의해 복수의 비밀정보를 분산 및 복원시킬 수 있는 응용방법을 제안하며 이러한 방법이 확장 화소의 수와 상대휘도의 관점에서 기존의 기법에 비해 성능이 우수함을 보이고자 한다.

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Application of the full factorial design to modelling of Al2O3/SiC particle reinforced al-matrix composites

  • Altinkok, Necat
    • Steel and Composite Structures
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    • 제21권6호
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    • pp.1327-1345
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    • 2016
  • $Al_2O_3$/SiC particulate reinforced (Metal Matrix Composites) MMCs which were produced by using stir casting process, bending strength and hardening behaviour were obtained using an analysis of variance (ANOVA) technique that uses full factorial design. Factor variables and their ranges were: particle size $2-60{\mu}m$; the stirring speed 450 rpm, 500 rpm and the stirring temperature $620^{\circ}C$, $650^{\circ}C$. An empirical equation was derived from test results to describe the relationship between the test parameters. This model for the tensile strength of the hybrid composite materials with $R^2$ adj = 80% for the bending strength $R^2$ adj = 89% were generated from the data. The regression coefficients of this model quantify the tensile strength and bending strengths of the effects of each of the factors. The interactions of all three factors do not present significant percentage contributions on the tensile strength and bending strengths of hybrid composite materials. Analysis of the residuals versus was predicted the tensile strength and bending strengths show a normalized distribution and thereby confirms the suitability of this model. Particle size was found to have the strongest influence on the tensile strength and bending strength.