• Title/Summary/Keyword: matrix analysis

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Algorithm Development for Infiltration Control in Component Fabrication Process of Metal Matrix Composites and Their Evaluation (금속기복합재료의 부품 제조공정에 관한 함침제어알고리즘 개발 및 평가)

  • Kang, Chung-Gil;Yun, Kung-Sik
    • Journal of Korea Foundry Society
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    • v.16 no.6
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    • pp.523-536
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    • 1996
  • This paper relates to fabrication processing analysis of metal matrix composites by the injection of liquid metal into a fibrous preforms. One dimensional heat transfer analysis during squeeze infiltration process of aluminum base composites has been studied. An analysis method was investigated for the temperature distribution, infiltration velocity and melt infiltration characteristics with the commercial preform with short fiber array. When molten metal is infiltrated in a fibrous preform with random orientation, phase transformation will be occurred in a region such as molten metal, solidified region, preform region and infiltration composites region. a mathematical modelling for a solidification phenomena in fabrication process of metal matrix composites using a squeeze infiltration technique was investigated by the basic relations for liquid metal into a fibrous preform. The temperature distribution of theoretical results was compared with experimental data.

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Large Deflection Analysis of a Plane Frame with Local Bending Collapse (국부적 굽힘붕괴를 수반하는 평면프레임의 대변형 해석)

  • 김천욱;원종진;강명훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1889-1900
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    • 1995
  • In this study, a large deflection analysis of a plane frame composed of a thin-walled tube in investigated. When bent, a thin-walled tube is usually controlled by local buckling and subsequent bending collapse of the section. So load resistance reaches the yield level in a thin-walled rectangular tube. This relationship can be divided into three regimes : elastic, post-buckling and crippling. In this paper, this relationship is theoretically presented to be capable of describing nonlinearities and a stiffness matrix is derived by introducing a compound beam-spring element. A numerical analysis uses a constant incremental energy method and the solution is obtained by modifying stiffness matrix at elastic/inelastic stage. This analytical results, load-deflection paths show a good agreement with the test results.

POWER SYSTEM TRANSIENT STABILITY ANALYSIS USING TRANSITION MATRIX AND VOLTAGE DERIVATIVES (천이행렬과 전압 미분을 이용한 전력계통의 과도 안정도 해석)

  • Park, Young-Moon;Kim, Gwang-Won
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.135-138
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    • 1990
  • For transient stability analysis of a power system, the new method using transition matrix is introduced in this paper. At the present the, Runge-Kutta, Modified-Euler and Trapezoidal methods have been very popular in most stability programs, Modified-Euler and Trapezoidal methods are inferior in accuracy and Runge-Kutta method has problems in computation time. The proposed algorithm requires transition matrix and its integrated values with derivatives of nonlinear parts in nonlinear differential equations for stability analysis. The method presented in this paper is between Modified-Euler and Runge-Kutta methods from the view point of computation time and is superior to the other methods in accuracy.

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Optimization of Solid Phase Extraction Method for Quantitative Analysis of Perfluorooctanoic Acid in Serum using Liquid Chromatography-Tandem Mass Spectrometry

  • Lee, Hyun-Seok;Yim, Yong-Hyeon
    • Mass Spectrometry Letters
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    • v.5 no.1
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    • pp.30-33
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    • 2014
  • A solid phase extraction (SPE) method was optimized for the quantitative analysis of perfluorooctanoic acid (PFOA) in serum using hydrophilic-lipophilic balance SPE and LC-MS/MS. Fetal bovine serums spiked with $^{13}C_8$-PFOA before or after SPE were used as test samples for evaluation of the SPE efficiency. Simultaneous evaluation of matrix effects and absolute SPE recovery for $^{13}C_8$-PFOA in serum using different sample pre-treatments and SPE conditions allowed optimization of SPE process efficiency with minimal matrix effect and decent SPE recovery. Introduction of protein precipitation as a sample pre-treatment procedure for serum samples before SPE generally decreased matrix effect in LC-MS/MS analysis and provided more stable recovery of PFOA.

The Eigenvalue Sensitivity Analysis in Multimachine Power Systems (다기계통의 고유치감도해석에 관한 연구)

  • 권세혁;노규민;김덕영
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.3
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    • pp.372-380
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    • 1994
  • A systematic procedure for the elements of system state matrix in multimachine systems with loads and eigenvalue technique which utilize stage matrix have widespread application in the analysis of small signal stability. Synchronous machines are represented by either a two-axis model or classical model. The interrelationship of submatrices of system matrix is investigated. Once elements of one submatrix are determined, they can be used to calculate the elements of the other submatrix. The approach is useful in the eigenvalue sensitivity analysis for various initial conditions and for the adjustment of generator controller parameters. It is illustrated for a three-machine and nine-bus multimachine system(WSCC system) with constant impedance loads.

A Study on Evaluation of the Characteristics Value in Principal Component Analysis (주성분분석에 의한 특성치평가에 관한 연구 - 신체검사의 예를 중심으로 -)

  • 최진영;정관희
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.3 no.3
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    • pp.23-34
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    • 1980
  • The method of principal component analysis is originated by K. Pearson, who considered this as geometrical method Principal component analysis is the most elementary method, and this means that the information having various type of characteristics which have been correlated among themselves, are summarized by orthogonal transformations of characteristics. I: Even though we have different result whether this method is applied to homogeneous population or not. In this research we should deal with the case of homogeneous population only. II: On the other hand, we can have different result whether we start from covariance matrix or matrix of correlation- coefficients. In this research we are studying based on covariance matrix.

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Singular Value Decomposition Approach to Observability Analysis of GPS/INS

  • Hong, Sin-Pyo;Chun, Ho-Hwan
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.133-138
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    • 2006
  • Singular value decomposition (SDV) approach is applied to the observability analysis of GPS/INS in this paper. A measure of observability for a subspace is introduced. It indicates the minimum size of perturbation in the information matrix that makes the subspace unobservable. It is shown that the measure has direct connections with observability of systems, error covariance, and singular structure of the information matrix. The observability measure given in this paper is applicable to the multi-input/multi-output time-varying systems. An example on the observability analysis of GPS/INS is given. The measure of observability is confirmed to be less sensitive to system model perturbation. It is also shown that the estimation error for the vertical component of gyro bias can be considered unobservable for small initial error covariance for a constant velocity horizontal motion.

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An Application of the Matrix Partitioning for the Motion Analysis of Floating Bodies (부유체 운동해석을 위한 부분행렬 이용방법)

  • 김동준;윤길수
    • Journal of the Korean Institute of Navigation
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    • v.10 no.1
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    • pp.129-138
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    • 1986
  • A matrix partitioning method is proposed for the 2-D motion analysis of floating bodies. For the numerical solution, the boundary of a floating body is approximated with a series of line segments and the governing integral equation is transformed into a system of linear equations. A new solution procedure of resulting linear equation with complex coefficients is formulated and programmed using a matrix partitioning scheme and the Choleski decomposition. From the case study, it is found that the proposed method is efficient in the motion analysis of floating bodies, especially in the calculation of hydrodynamic coefficients. Also, it requires smaller memory size and less computing time compared with conventional methods.

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A Geometrical Approach to the Characteristic Analysis of Parallel Mechanism for Planar Task (평면 작업용 병렬 메카니즘의 특성 해석을 위한 기하학적 접근)

  • Song, Nak-Yoon;Cho, Hwang
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.9
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    • pp.158-166
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    • 1998
  • This paper presents a geometrical approach to the characteristic analysis of parallel mechanism with free joints intended for use as a planar task robot. Solution of the forward and inverse kinematic problems are described. Because the mechanism has only three degree-of-freedom output, constraint equations must be generated to describe the inter-relationship between actuated joints and free joints so as to describe the position and orientation of the moving platform. Once these constraints are incorporated into the kinematics model, a constrained Jacobian matrix is obtained. and it is used for the solution of the forward kinematic equations by Newton-Raphson technique. Another Jacobian matrix was derived to describe the interrelationship between actuated joints and moving platform. The stiffness, velocity transmission ratio, force transmission ratio and dexterity of the mechanism are then determined based on this another Jacobian matrix. The geometrical construction of the mechanism for the best performance was investigated using the characteristic analysis.

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Crankshaft Stiffness Matrix Construction for the Vibration Analysis Coupled with Torsional and Axial Directions of a Marine Engine Shaft System (박용엔진 축계 비틀림/종 연성진동 해석을 위한 크랭크 축 강성행렬 구축)

  • Kim, Won-Jin;Jeon, Min-Kyu;Jeong, Dong-Gwan
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.11
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    • pp.55-61
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    • 1999
  • The torsional and axial vibrations of shaft system have been calculated independently because of both the limitation of computing time and the complexity of crankshaft model. In actual system, however, the torsional and axial vibrations are coupled. Therefore, in recent, many works in the coupled vibration analysis have been done to find out the more exact dynamic behavior of shaft system. The crankshaft model is very important in the vibration analysis of shaft system because most of excitation forces act on the crankshaft. It is, however, difficult to establish an exact model of crankshaft since its shape is very complex. In this work, an efficient method is proposed to construct the stiffness matrix of crankshaft using a finite element model of half crankthrow. The proposed and existing methods are compared by applying to both a simple thick beam with circular cross section and an actual crankshaft.

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