• Title/Summary/Keyword: Transfer matrix

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Coupld Free Lateral Vibration Analysis of Shafting by the Finite Element Method (유한요소법(有限要素法)에 의(依)한 축계(軸系)의 연성자유횡진동해석(聯成自由橫振動解析)에 관(關)한 연구(硏究))

  • Si-Young,Ahn
    • Bulletin of the Society of Naval Architects of Korea
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    • v.23 no.4
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    • pp.19-24
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    • 1986
  • Coupled lateral vibrations of shafting is analyzed by the Finite Element Method. In the problem formulation axial force, elastic foundation effects and rotary inertia effects are taken into account. A computer program is developed to calculate natural frequencies of the shafting, and used to calculate natural frequencies of the experimental model shafting, which the author used for the paper[11]. The results show good agreement with the measured values. The results are also compared with those of the Transfer Matrix Method. From the comparison it is found that both results agree each other.

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An Alternative Approach to Optimal Impulsive-Thrust Formation Reconfigurations in a Near-Circular-Orbit

  • Kim, Youngkwang;Park, Sang-Young;Park, Chandoek
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.160.1-160.1
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    • 2012
  • We present an alternative approach for satellite formation reconfiguration by an optimal impulsive-thrust strategy to minimize the total characteristic velocity in a near-circular-orbit. Linear transformation decouples the Hill-Clohessy-Wiltshire(HCW) dynamics into a new block-diagonal system matrix consisting of 1-dimensional harmonic oscillator and 2-dimensional subsystem. In contrast to a solution based on the conventional primer vector theory, the optimal solution and the necessary conditions are represented as times and directions of impulses. New analytical expression of the total characteristic velocity is found for each sub systems under general boundary conditions including transfer time constraint. To minimize the total characteristic velocity, necessary conditions for times and directions of impulses are analytically solved. While the solution to the 1-dimensional harmonic oscillator has been found, the solution to the 2-dimensional subsystem is currently under construction. Our approach is expected to be applicable to more challenging problems.

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Flexural free vibration of cantilevered structures of variable stiffness and mass

  • Li, Q.S.
    • Structural Engineering and Mechanics
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    • v.8 no.3
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    • pp.243-256
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    • 1999
  • Using appropriate transformations, the differential equation for flexural free vibration of a cantilever bar with variably distributed mass and stiffness is reduced to a Bessel's equation or an ordinary differential equation with constant coefficients by selecting suitable expressions, such as power functions and exponential functions, for the distributions of stiffness and mass. The general solutions for flexural free vibration of one-step bar with variable cross-section are derived and used to obtain the frequency equation of multi-step cantilever bars. The new exact approach is presented which combines the transfer matrix method and closed form solutions of one step bars. Two numerical examples demonstrate that the calculated natural frequencies and mode shapes of a 27-storey building and a television transmission tower are in good agreement with the corresponding experimental data. It is also shown through the numerical examples that the selected expressions are suitable for describing the distributions of stiffness and mass of typical tall buildings and high-rise structures.

Critical buckling load optimization of the axially graded layered uniform columns

  • Alkan, Veysel
    • Structural Engineering and Mechanics
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    • v.54 no.4
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    • pp.725-740
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    • 2015
  • This study presents critical buckling load optimization of the axially graded layered uniform columns. In the first place, characteristic equations for the critical buckling loads for all boundary conditions are obtained using the transfer matrix method. Then, for each case, square of this equation is taken as a fitness function together with constraints. Due to explicitly unavailable objective function for the critical buckling loads as a function of segment length and volume fraction of the materials, especially for the column structures with higher segment numbers, initially, prescribed value is assumed for it and then the design variables satisfying constraints are searched using Differential Evolution (DE) optimization method coupled with eigen-value routine. For constraint handling, Exterior Penalty Function formulation is adapted to the optimization cycle. Different boundary conditions are considered. The results reveal that maximum increments in the critical buckling loads are attained about 20% for cantilevered and pinned-pinned end conditions and 18% for clamped-clamped case. Finally, the strongest column structure configurations will be determined. The scientific and statistical results confirmed efficiency, reliability and robustness of the Differential Evolution optimization method and it can be used in the similar problems which especially include transcendental functions.

Lasing Modes of LD-Pumped Fiber Grating Lasers

  • Park, Dong-Wook;Hwang, Joon-Hwan
    • Journal of the Optical Society of Korea
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    • v.6 no.3
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    • pp.108-116
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    • 2002
  • Lasing modes of laser-diode-pumped fiber grating lasers are analyzed by coupled-mode theory. First, a power series solution of the coupled-mode equations is derived under the assumption of an exponentially-decreasing longitudinal modal gain profile for a laser-diode-pumped grating section, followed by determination of the transfer matrix for such a section. Based on these results, an eigenvalue equation for oscillation is then derived and solved numerically for the lasing modes of uniform and phase-shifted fiber grating lasers. Comparisons made with the uniform-gain results indicate that, surprisingly, the lasing mode characteristics are not as significantly altered as might be expected in most cases, even for a highly nonuniform gain profile. In the case of a phase-shifted grating, the phase-shift position appears to have a much greater impact on determining the threshold gain, the modal field distribution, and the front-to-back output power ratio.

Electromagnetic Resonant Tunneling System: Double-Magnetic Barriers

  • Kim, Nammee
    • Applied Science and Convergence Technology
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    • v.23 no.3
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    • pp.128-133
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    • 2014
  • We study the ballistic spin transport properties in a two-dimensional electron gas system in the presence of magnetic barriers using a transfer matrix method. We concentrate on the size-effect of the magnetic barriers parallel to a two-dimensional electron gas plane. We calculate the transmission probability of the ballistic spin transport in the magnetic barrier structure while varying the width of the magnetic barriers. It is shown that resonant tunneling oscillation is affected by the width and height of the magnetic barriers sensitively as well as by the inter-spacing of the barriers. We also consider the effect of additional electrostatic modulation on the top of the magnetic barriers, which could enhance the current spin polarization. Because all-semiconductor-based devices are free from the resistance mismatch problem, a resonant tunneling structure using the two-dimensional electron gas system with electric-magnetic modulation would play an important role in future spintronics applications. From the results here, we provide information on the physical parameters of a device to produce well-defined spin-polarized current.

Development of Discharge Model and Preventive Diagnosis Program for Discharge Risk Assessment of Charged Human Body (대전인체의 방전위험성 평가를 위한 모델 및 예방진단 프로그램 개발)

  • 김두현;김상철;고은영
    • Journal of the Korean Society of Safety
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    • v.13 no.3
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    • pp.80-87
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    • 1998
  • This paper presents a study on the development of discharge model and computer program for assessing the risk of electrostatic discharge(ESD) of charged human body This ESD event is modelled as a two-body problem using spherical conductors, simulating the approach of a charged conductor (human body) to a second conductor (electronic equipment). The charge/discharge process for the model is formulated as a matrix of equations by Maxwell's method. Body potentials, energies and the charge transfer during a discharge are calculated. The developed program, based on the suggested scheme in this paper, is applied to a sample system. The results provide a better understanding of ESD event and demonstrate the usefulness of two-body model in practical applications.

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Characteristic Analysis of Linear Induction Motor Considering Multi-Region Traveling-wave problems (다중층 해석법을 이용한 직선형 유도전동기의 특성 해석)

  • Jang, Seok-Myeong;Cho, Sung-Kook;Lee, Sung-Ho;Cho, Han-Wook;Kweon, Jung-Ki
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.1033-1035
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    • 2003
  • Linear induction motor with multilayer region of the single-sided is analyzed considering multi region traveling wave problem. A hybrid method of analysis consisting of field analysis in conjunction with the multilayer transfer matrix concept with adjustment of secondary iron permeability to match the tangential magnetizing field in each layer is developed.

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Preparation of Ru-C Nano-composite Film by MOCVD and Electrode Properties for Oxygen Gas Sensor

  • Kimura, Teiichi;Goto, Takashi
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09a
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    • pp.358-359
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    • 2006
  • Ru-C nano-composite films were prepared by MOCVD, and their microstructures and their electrode properties for oxygen gas sensors were investigated. Deposited films contained Ru particles of 5-20 nm in diameter dispersed in amorphous C matrix. The AC conductivities associating to the interface charge transfer between Ru-C composite electrode and YSZ electrolyte were 100-1000 times higher than that of conventional paste-Pt electrodes. The emf values of the oxygen gas concentration cell constructed from the nano-composite electrodes and YSZ electrolyte showed the Nernstian theoretical values at low temperatures around 500 K. The response time of the concentration cell was 900 s at 500 K.

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A Vibration Mode Analysis of the Cable-Type Winding of 22.9kV Power Transfomer by Using A Numerical Method (수치해석을 이용한 22.9kV급 Cable 권선형 변압기의 진동모드 분석)

  • Ha, Jung-Woo;Woo, Sung-Hyun;Shin, Pan-Seok;Lee, Jin-Hee
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.91-92
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    • 2007
  • 본 연구에서는 전력계통에서 발생되는 surge나 고장전류에 의해서 변압기의 고압측 코일에 유도되는 전자력의 크기를 유한요소 전자계해석 프로그램(FLUX2D)의 축대칭FEM을 이용하여 해석하였다. 1MVA, 22900/220(V) 단상 외철형 Cable형 변압기의 권선의 각방향의 전자력을 분석하고, 변압기 권선의 고유진동mode를 Transfer Matrix Method를 이용하여 Cable형권선의 고유진동주파수를 파악하고 ANSYS와 비교하였다. 변압기 권선의 전자력과 진동mode 분석결과는 변압기의 절연설계 및 단락기계력에 대한 프레임 구조 설계를 위한 자료로 활용될 수 있다.

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