• Title/Summary/Keyword: Transfer Matrix method

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On the Validity of the Effective Cavity Model with the Transfer Matrix Method as a Frame of Reference In VCSELs (수직 공진기 반도체 레이저에서 전달 행렬 방법과의 비교를 통한 유효 공진기 모델의 타당성 검토)

  • 김태용;김상배
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.41 no.7
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    • pp.31-36
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    • 2004
  • In comparison with in-plane lasers, predicting the output power and differential quantum efficiency of Vertical-Cavity Surface-Emitting Lasers(VCSELs) is very difficult due to the distributed Bragg reflector(DBR) layers. Therefore, effective cavity model and transfer matrix method have been adapted in order to calculate the output power and differential quantum efficiency The effective cavity model is inappropriate to calculate output power and differential quantum efficiency while it is practically adequate to calculate the threshold gain and threshold current density The reason is that the effective cavity model can not take account of the absorption in GaAs stack layer right below the metal aperture. In this paper, we have compared the threshold current and differential quantum efficiency calculated by using transfer matrix method with effective cavity model and we have made a study of the validity of the effective cavity model. Finally, we have confirmed the versatility of the transfer matrix method with these studies.

Numerical solution for multiple confocal elliptic dissimilar cylinders

  • Chen, Y.Z.
    • Smart Structures and Systems
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    • v.19 no.2
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    • pp.203-211
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    • 2017
  • This paper provides a numerical solution for multiple confocal elliptic dissimilar cylinders. In the problem, the inner elliptic notch is under the traction free condition. The medium is composed of many confocal elliptic dissimilar cylinders. The transfer matrix method is used to study the continuity condition for the stress and displacement along the interfaces. Two cases, or the infinite matrix case and the finite matrix case, are studied in this paper. In the former case, the remote tension is applied in y- direction. In the latter case, the normal loading is applied along the exterior elliptic contour. For two cases, several numerical results are provided.

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

  • 김광식;오재응;김만복
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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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.

Robust Multiloop Controller Design of Uncertain Affine TFM(Transfer Function Matrix) System (불확실한 Affine TFM(Transfer Function Matrix) 시스템의 강인한 다중 루프 제어기 설계)

  • Byun Hwang-Woo;Yang Hai-Won
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.1
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    • pp.17-25
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    • 2005
  • This paper provides sufficient conditions for the robustness of Affine linear TFM(Transfer Function Matrix) MIMO (Multi-Input Multi-Output) uncertain systems based on Rosenbrock's DNA (Direct Nyquist Array). The parametric uncertainty is modeled through a Affine TFM MIMO description, and the unstructured uncertainty through a bounded perturbation of Affine polynomials. Gershgorin's theorem and concepts of diagonal dominance and GB(Gershgorin Bands) are extended to include model uncertainty. For this type of parametric robust performance we show robustness of the Affine TFM systems using Nyquist diagram and GB, DNA(Direct Nyquist Array). Multiloop PI/PB controllers can be tuned by using a modified version of the Ziegler-Nickels (ZN) relations. Simulation examples show the performance and efficiency of the proposed multiloop design method.

Acoustical Property Evaluation of Multi-layered Material Using the Standing Wave Method (관내법을 이용한 다층구조의 음향재료 음향성능 평가)

  • Lee, C.M.;Xu, Y.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.175-180
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    • 2006
  • The acoustical properties of multi-layered treatments of materials used in applications, such as automotive liners, generally cannot be directly measured by a one-time test in a standing wave duct. Therefore, we have to consider predicting them by the four-pole transfer matrix method. This method requires performing TCM or TLM for measuring the transfer matrix of each layer and calculating the total transfer matrix of the whole multi-layered material. The final predicted absorption ratios and transmission losses of the multi-layered treatments strongly depend on the measured transfer matrix of each layer. All these functions have been included in a new designed acoustical software.

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A Study on the Analysis Algorithm of Time Historical Response of Straight-line Structure by the Transfer Stiffness Coefficient Method (전달강성계수법에 의한 직선형 구조물의 시간 이력응답 해석알고리즘에 관한 연구)

  • Moon, D.H.;Kang, H.S.;Choi, M.S.
    • Journal of Power System Engineering
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    • v.3 no.1
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    • pp.74-79
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    • 1999
  • This paper describes formulation for algorithm of time historical response analysis of vibration for straight-line structure. This method is derived from a combination of the transfer stiffness coefficient method and the Newmark method. And this present method improves the computational accuracy of the transient vibration response analysis remarkably owing to several advantages of the transfer stiffness coefficient method. We regarded the structure as a lumped mass system here. The analysis algorithm for the time historical response was formulated for the straight-line structure containing crooked, tree type system. The validity of the present method compared with the transfer matrix method and the Finite Element Method for transient vibration analysis is demonstrated through the numerical computations.

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Stability Analysis of Induction Motor Rotor by Unbalanced Electromagnetic Forces (불평형 전자기력에 의한 유도전동기 회전자의 안정성해석)

  • 양보석;손병구
    • Journal of KSNVE
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    • v.8 no.6
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    • pp.1086-1092
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    • 1998
  • This paper presents a general analytical method for analyzing the instability of unbalanced electromagnetic forces produced in induction motors with an eccentric rotor. The equations to be solved are a set of second order differential equations which give matrices with periodic coefficients that are a function of time due to the unbalanced electromagnetic force. The method is based on an extension of the Floquet theory. A transfer matrix over one period of the motion is obtained. and the stability of the system can be determined with the eigenvalues of the matrix. The analysis results of instability zone were coincided upon comparing that of transfer matrix method with that of rotating frame. Two examples are given. including an industrial application. The results show that the method proposed is satisfactory.

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A Hybrid Method for Vibration Analysis of Rotor Systems (회전축계의 진동해석을 위한 Hybrid법에 관한 연구)

  • 양보석;최원호
    • Journal of KSNVE
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    • v.2 no.4
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    • pp.265-272
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    • 1992
  • The simplest method which has been used extensively for vibration analysis is the transfer matrix method introduced by Myklestad and was later extended by many researchers. The crude approximation results in considerable error on the predicted natural frequencies and to increase the accuracy the number of elements used in the analysis must be increased. In addition, numerical instability can occur as a result of matrix multiplication. Also the main disadvantage of the finite element method is the large computer memory requirements for complex systems. The new method proposed in this paper combines the transfer matrix and finite dynamic element techniques to form a powerful algorithm for vibration analysis of rotor system. It is shown that the accuracy improves significantly when the transfer matrix for each segment is obtained from finite dynamic element techniques.

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Torsional Vibration Analysis of Multiple Steped Gear System Using Transfer Matrix Method (전달행렬법을 이용한 다단 치차계의 비틀림 진동 해석)

  • 이형우;박노길
    • Journal of KSNVE
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    • v.8 no.3
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    • pp.504-512
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    • 1998
  • For analyzing the torsional vibration of a multiple stepped gear system containing a pair of triple gears, a transfer matrix model based on Hibner's branch method is developed and the natural properties of the branched rotor system are calculated with using the $\lambda$-matrix formulation. A Campbell diagram, in which the excitation sources caused by the mass unbalances of the rotors and the transmitted errors of thegearings are considered, shows that, at the neighborhood of the operating speed, there are the four critical speeds amplifying the first mode and the fifth mode. For the surpression of the gear box vibration, two ways are suggested by referring the mode shapes.

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A Study on the Mode Analysis of Torsional Vibration in the Multi-Branched Geared System (다단 치차계의 비틀림 진동 모드해석에 관한 연구)

  • 이동환;이형우;박노길
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.04a
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    • pp.227-232
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    • 1996
  • For analyzing the torsional vibration of a complicated multi-branched geared system, we constructed the transfer matrix using the modified Hiber Branch Method and performed the modal analysis using the .lambda.-matrix method. We compared the developed transfer matrix method with the Lagrangian method and noticed that the result of two methods are in agree with each other.

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