• 제목/요약/키워드: matrix analysis

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근적외선흡광스픽트럼에 대한 반복목표변환인자분석에 의한 메탄올-물 혼합액 및 아세토니트릴 -물 혼합액의 특성 확인 (Characterization of Methanol-Water and Acetonitrile-Water Mixtures Using Iterative Target Transform Factor Analysis on Near Infrared Absorption Spectra)

  • 박영주;조정환
    • 약학회지
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    • 제48권1호
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    • pp.6-12
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    • 2004
  • Near-infrared spectra of methanol-water mixtures and acetonitrile-water mixtures were acquired to find interactions between solvents widely used for reverse-phase liquid chromatography. Mixtures were prepared to give a series of increasing mole fractions of methanol or acetonitrile in water. Data matrices of acquired spectra were analyzed to determine the proper number of principal components of each mixture system using Malinowski's factor indicator function. Initial guess of score matrix and loading matrix were calculated by nonlinear iterative partial least squares (NIPALS) algorithm for faster computation. Iterative target transform factor analysis (ITTFA) was applied to convert the initial estimation of score matrix to true concentration profile and loading matrix to pure spectra of pure components of the mixtures. In case of methanol-water the number of principal components was found to be 4 and those initial guess of factors were converted to the pure spectra of water methanol and two kinds of complexes. In case of acetonitrile-water the number of pure components of the mixtures was found to be 3 and the pure spectrum of acetonitrile-water complex was found. The nonlinear characteristics of concentration profiles of complexes in the solvent mixtures may give a good criteria in understanding their elution characteristics in reverse-phase liquid chromatogrsphy.

Investigating the effect of edge crack on the modal properties of composite wing using dynamic stiffness matrix

  • Torabi, Ali Reza;Shams, Shahrokh;Fatehi-Narab, Mahdi
    • Steel and Composite Structures
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    • 제39권5호
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    • pp.543-564
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    • 2021
  • In this study free vibration analysis of a cracked Goland composite wing is investigated. The wing is modelled as a cantilevered beam based on Euler- Bernoulli equations. Also, composite material is modelled based on lamina fiber-reinforced. Edge crack is modelled by additional boundary conditions and local flexibility matrix in crack location, Castigliano's theorem and energy release rate formulation. Governing differential equations are extracted by Hamilton's principle. Using the separation of variables method, general solution in the normalized form for bending and torsion deflection is achieved then expressions for the cross-sectional rotation, the bending moment, the shear force and the torsional moment for the cantilevered beam are obtained. The cracked beam is modelled by separation of beam into two interconnected intact beams. Free vibration analysis of the beam is performed by applying boundary conditions at the fixed end, the free end, continuity conditions in the crack location of the beam and dynamic stiffness matrix determinant. Also, the effects of various parameters such as length and location of crack and fiber angle on natural frequencies and mode shapes are studied. Modal analysis results illustrate that natural frequencies and mode shapes are affected by depth and location of edge crack and coupling parameter.

Topological Analysis of DC Motor Driving by John's Chopper Circuit

  • Won, Chung-Yun;Hwang, Hee-Yeong
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1979년도 하계 전자.전기연합학술발표회논문집
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    • pp.138-141
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    • 1979
  • The purpose of this paper is to develop an efficient model for the analysis of a John's Chopper Circuit. In the John's Chopper Circuit analysis, the open branches are removed from the associated graph to formulate the modified incidence matrix. An algorithm for the generation of a modified proper tree and fundamental cut set matrix from a network graph is developed, which utilizes much less computer storage space and computation time compared to the classical methods.

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이중선로의 동시사고를 고려한 상정사고해석 (Double Circuit Simultaneous Fault Analysis)

  • 김지웅;문영현;이종기
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 하계학술대회 논문집 A
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    • pp.136-138
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    • 2002
  • In this paper, we propose the analysis method of the Double Circuit Simultaneous Fault. To improve the accuracy and the promptness of the coontingency analysis, we reformed the Peterson method and extended the Sherman-Morrison equation. We also used the table of trigono -metric factor of Jacobian matrix before the fault, to compute the inverse matrix needed in the loadflow calculation.

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스트랩다운 관성항법장치에 대한 가관측성 분석 (Analysis of observability for strapdown inertial navigation system)

  • 정태호;박흥원;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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    • pp.45-49
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    • 1989
  • The observability of an strapdown inertial navigation system(SDINS) is investigated. The piece-wise constant systems are defined and the stepped observability matrix scheme is applied to observability analysis of SDINS theoretically, the results are compared with that of covariance simulation. It is found that SDINS is more observable than gimballed inertial navigation system (GINS) in the case of the variation of vehicle attitude, and is found that the stepped observability matrix theory is simple and useful for the analysis of the system observability but the results are not completely same as that of covariance simulation.

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객체지향기법을 이용한 전력조류계산 및 스파시티 연구 (Load flow analysis and sparsity study using object-oriented programming technique)

  • 김정년;백영식
    • 대한전기학회논문지
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    • 제45권3호
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    • pp.329-334
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    • 1996
  • Power system is becoming more and more complex and large Existing procedural programming technique can't cope with software flexibility and maintenance problems. So, Object-Oriented Programming (OOP) is increasingly used to solve these problems. OOP in power system analysis field has been greatly developed. This paper applies OOP in power flow analysis, and presents new algorithm which uses only a Jacobian to solve mismatch equations, and introduces a new sparse matrix storage method which is different from existing method. (author). 11 refs., 12 figs., 3 tabs.

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Dynamic analysis of semi-rigidly connected and partially embedded piles via the method of reverberation-ray matrix

  • Yan, Wei;Chen, W.Q.
    • Structural Engineering and Mechanics
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    • 제42권2호
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    • pp.269-289
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    • 2012
  • Free vibration and dynamic responses of piles semi-rigidly connected with the superstructures are investigated. Timoshenko beam theory is employed to characterize the pile partially embedded in a two-parameter elastic foundation. The formulations for the method of reverberation-ray matrix (MRRM) are then derived to investigate the dynamics of the pile with surface cracks, which are modeled as massless rotational springs. Comparison with existent numerical and experimental results indicates the proposed method is very effective and accurate for dynamic analysis, especially in the high frequency range. Finally, the effects of some physical parameters on the natural frequencies, frequency responses and transient responses of the piles are studied.

전달매트릭스법을 이용한 크랭크축의 2차원 진동해석 (Two Dimensional Vibration Analysis of Cranck Shaft by Using Transfer Matrix Method)

  • 김광식;오재응;김만복
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.455-462
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    • 1991
  • This paper present an analysis method of crankshaft of four cylinder internal combustion engine for studying dynamic characteristics of the shaft. For simple analysis, uniform sections of journal, pin and arm parts were assumed. Transfer Matrix Method was used, considering branched part and coordinate transformation part. Natural frequencies, natural modes and transfer functions of crank shaft were investigated based upon the Timosenko beam theory: It was shown that the calculated natural frequencies, modeshapes agree well with the experimental results.

복합재 적층셸의 비선형 수치해석 및 실험 (Nonlinear Numerical Analysis and Experiment of Composite Laminated Shell)

  • 조원만;이영신;윤성기
    • 대한기계학회논문집
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    • 제17권8호
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    • pp.2051-2060
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    • 1993
  • A finite element program using degenerated shell element was developed to solve the geometric, material and combined nonlinear behaviors of composite laminated shell. The total Lagrangian method was implemented for geometric nonlinear analysis. The material nonlinear behavior was analyzed by considering the matrix degradation due to the progressive failure in the matrix and matrix-fiber interface after initial failure. The result of the geometric nonlinear analysis showed good agreement with the other exact and numerical solutions. The results of the combined analyses considered both geometric and material nonlinear analyses were compared with the experiments in which internal pressure was applied to the filament wound antisymmetric tubes.