• Title/Summary/Keyword: Transfer Matrix method

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On the consideration of the masses of helical springs in damped combined systems consisting of two continua

  • Gurgoze, M.;Zeren, S.;Bicak, M.M.A.
    • Structural Engineering and Mechanics
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    • v.28 no.2
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    • pp.167-188
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    • 2008
  • This study is concerned with the establishment of the characteristic equation of a combined system consisting of a cantilever beam with a tip mass and an in-span visco-elastic helical spring-mass, considering the mass of the helical spring. After obtaining the "exact" characteristic equation of the combined system, by making use of a boundary value problem formulation, the characteristic equation is established via a transfer matrix method, as well. Further, the characteristic equation of a reduced system is obtained as a special case. Then, the characteristic equations are numerically solved for various combinations of the physical parameters. Further, comparison of the results with the massless spring case and the case in which the spring mass is partially considered, reveals the fact that neglecting or considering the mass of the spring partially can cause considerable errors for some combinations of the physical parameters of the system.

Analysis of Multiple Step-Index Waveguide by the WKB Approximation (WKB 근사를 이용한 다중 계단형 광도파로의 해석)

  • Seo, Jeong-Hun;Lee, Se-Ho;Lee, Byeong-Gwon;Kim, Chang-Min
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.48 no.2
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    • pp.141-146
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    • 1999
  • The eigenvalue equations of multiple waveguides with step-index profile are derived by using the WKB theory. Phase changes unique to step-index discontinuity areintroduced when applying the WKB connection formula to turning points. The transfer matrix method is employed for the analysis of multiple structure and the derived eigenvalue equation are represented in the recursive form. The results by the WKB are compared with those by the FEM for a three-waveguide coupler.

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On iterative learning control for some distributed parameter system

  • Kim, Won-Cheol;Lee, Kwang-Soon;Kim, Arkadii-V.
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.319-323
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    • 1994
  • In this paper, we discuss a design method of iterative learning control systems for parabolic linear distributed parameter systems(DPSs). First, we discuss some aspects of boundary control of the DPS, and then propose to employ the Karhunen-Loeve procedure to reduce the infinite dimensional problem to a low-order finite dimensional problem. An iterative learning control(ILC) for non-square transfer function matrix is introduced finally for the reduced order system.

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Theoretical analysis of the transmission gain spectrum of a phase-shift-controlled DFB tunable filter (위상 천이 조정 DFB 파장 가변 필터의 투과 증폭 스펙트럼에 관한 이론적 해석)

  • 김부균;정기숙;이봉영
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.7
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    • pp.205-215
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    • 1996
  • We derive the analytic equations for the transmission gain spectrum of a phase shift controlled (PSC) DFB filters with complexed coupled gratings considering both facet reflections and the phase of gratings using the transfer matrix method. The number of parameters of the equations is reduced by using the parameter of effective phase shift defined by the sum of the phase shift in a PSC region the effect of both facets reflections and the effective phase shift on the transmission gain spectrum and verify the validity of those equations from the computer simulation results. Computer simulation results show the PSC DFB filter with a pure index coupled grating has the widest tunable range and that with a pure gain grating has the largest side mode suppression ratio.

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Effects of structural nonidealities on the lasing characteristics of $\lambda$/4 phase-shifted DFB lasers ($\lambda$/4 위상천이 DFB 레이저 다이도드에서 grating 구조상의 비이상성이 발진특성에 미치는 영향)

  • 조종섭;김상배
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.7
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    • pp.245-252
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    • 1996
  • $\lambda$/4 phase-shifted DFB lasers with nonideal grating structure have been studied by using an effective-index transfer matrix method where material dispersion, vwaveguide dispersion and waveguide-structuredependent loss are taken into consideration. Nonideal grating structure in the center phase-shift region does not incur serous degradation of laser characteristics. Phase-shift error from the ideal shift of $\pi$ causes a decrease in the threshold gain difference and lasing wavelength shift and should be less than $\pi$/4 when residual facet reflectivity is 0.7%. also, positional error of the phase-shift should be less than 9% of the cavity length in order for the threshold gain difference to be decreased less than 10%.

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NUMERICAL ANALYSIS OF NON-EQUILIBRIUM HYDRATE PELLET DECOMPOSITION (하이드레이트 펠릿의 비평형 분해과정 수치해석)

  • Kang, Jung-Ho;Nam, Jin-Hyun;Kim, Charn-Jung;Song, Myung-Ho
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.268-275
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    • 2008
  • The prediction of hydrate pellet decomposition characteristics is required to design the regasification process of GTS (gas to solid) technology, which is considered as an economic alternative for LNG technology to transport natural gas produced from small and stranded gas wells. Mathematical model based on the conservation principles, the phase equilibrium relation, equation of gas state and phase change kinetics was set up and numerical solution procedure employing volume averaged fixed grid formulation and extended enthalpy method are implemented. Initially, porous methane hydrate pellet is at uniform temperature and pressure within hydrate stable region. The pressure starts to decrease with a fixed rate down to the final pressure and is kept constant afterwards while the bounding surface of pellet is heated by convection. The predicted convective heat and mass transfer accompanied by the decomposed gas flow through hydrate/ice solid matrix is reported focused on the comparison of spherical and cylindrical pellets having the same effective radius.

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NUMERICAL ANALYSIS OF NON-EQUILIBRIUM HYDRATE PELLET DECOMPOSITION (하이드레이트 펠릿의 비평형 분해과정 수치해석)

  • Kang, Jung-Ho;Nam, Jin-Hyun;Kim, Charn-Jung;Song, Myung-Ho
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.268-275
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    • 2008
  • The prediction of hydrate pellet decomposition characteristics is required to design the regasification process of GTS (gas to solid) technology, which is considered as an economic alternative for LNG technology to transport natural gas produced from small and stranded gas wells. Mathematical model based on the conservation principles, the phase equilibrium relation, equation of gas state and phase change kinetics was set up and numerical solution procedure employing volume averaged fixed grid formulation and extended enthalpy method are implemented. Initially, porous methane hydrate pellet is at uniform temperature and pressure within hydrate stable region. The pressure starts to decrease with a fixed rate down to the final pressure and is kept constant afterwards while the bounding surface of pellet is heated by convection. The predicted convective heat and mass transfer accompanied by the decomposed gas flow through hydrate/ice solid matrix is reported focused on the comparison of spherical and cylindrical pellets having the same effective radius.

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Torsional Vibration Analysis in Large Two-Stroke Diesel Engines for Stationary Power Plants. (발전용 대형 2행정 디젤 엔진의 비틈진동 해석)

  • Park, Jong-Po;Park, Hui-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.10 s.181
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    • pp.2529-2534
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    • 2000
  • Torsional vibration analysis in a large two -stroke low speed diesel engine and generator system for stationary power plants is performed to verify that the vibration characteristics of shafting system meet design requirements. Our own developed S/W is employed for the analysis, whose results are evaluated comparing with measurements. Vibration analysis results of the system are presented according to the change of loading(unload, 100%load, 110% load) and operating(mis-firing, uneven firing) conditions of the stationary power plants.

Bearing Coefficient Identification of a Machine-Tool Spindle System (공작기계 주축계의 베어링계수규명에 관한 연구)

  • 김석일;곽병만;이후상
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1426-1432
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    • 1991
  • 본 연구에서는 Timoshenko보이론과 전달행렬법에 의해서 얻어지는 베어링의 반력들과 주축계의 불완전진동모드간의 선형관계를 이용하여 원리적으로 반복계산없이 반경방향과 굽힘모멘트방향의 선형등방성 베어링계수들을 규명하는 방법을 제안하였다. 제안된 규명방법은 주축계에 사용된 베어링의 수보다 진동모드에 대한 측정점의 수가 2배 이상 많아야 한다는 조건을 가지고 있다. 또한 선형 연립방정식으로 부터 직접 규명된 베어링계수들의 일부가 정보의 부정확성에 의해서 물리적으로 타당성이 없는 음수로 나타나는 경우에는 측정결과와의 차이를 최소화시키면서, 물리적으로 타당성이 있는 양수의 베어링계수들을 규명할 수 있는 방법이 제안조건들을 가진 최적화문제의 형태로 제시되었다. 그리고 제시된 최적화문제의 해는 선형화방법(linearization method)를 통해서 얻었다. 아울러서 주축계의 실험모델에 대한 가진실험결과를 이용 하여 제안된 규명방법의 유용성을 평가하였다.

Sound Propagation through the Diesel Particulate Filter (DPF) (디젤 매연여과기 (DPF) 내에서의 음향전파)

  • Choi, Won-Yong;Ih, Jeong-Guan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11b
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    • pp.152-155
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    • 2005
  • Diesel particulate filter (DPF) is comprised of a number of capillary tubes enclosed by porous ceramic wails, shaped like a plugged duct. Hot gas flows through the DPF along with the exhaust noise from Diesel engine. Based on previous works on the sound propagation through DPF, in this study, losses at entrance, exit, and ceramic walls are considered and the gradients in temperature and flow velocity are considered. Transfer matrix at entrance, monolith, and exit parts are obtained by employing the segmental approach in analyzing the sound propagation through DPF. The predicted transmission loss agrees very well with the empirical one, which is measured by the improved method with correction terms.

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