• Title/Summary/Keyword: 섭동 이론

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Propagation Speed of Torsional Elastic Waves In a Cylinder with a Periodically Corrugated Outer Surface (외면이 주기적으로 울퉁불퉁한 실린더에서 비틂 탄성파의 전파속도)

  • 김진오
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.8
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    • pp.54-60
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    • 1999
  • The paper describes a theoretical study on the speed of the torsional elastic waves propagating in a circular cylinder whose outer radius varies periodically as a harmonic function of the axial coordinate. The approximate solution for the phase speed has been obtained using the perturbation technique for sinusoidal modulation of small amplitude. It is shown that the wave speed in the cylinder with a corrugated outer surface is less than that in a smooth cylinder by the square of the amplitude of the surface perturbation. This theoretical prediction agrees reasonably with an experimental observation reported earlier. It is also shown that the wave speed reduction due to the surface corrugation becomes larger for a thinner cylinder and for a bigger density of corrugation.

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Buckling of Ferromagnetic Plates in Thermal and Magnetic Fields (자기장과 온도장으로 재하된 강자성 판의 좌굴)

  • 이종세;왕성철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.4
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    • pp.727-739
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    • 2002
  • Based on a generalized variational principle for magneto-thermo-elasticity, a theoretical model is proposed to describe the coupled magneto-thermo-elastic interaction in soft ferromagnetic plates. Using the linearized theory of magneto-elasticity and perturbation technique, we analyze the magneto-elastic and magneto-thermo-elastic instability of simply supported ferromagnetic plates subjected to thermal and magnetic fields. A nonlinear finite element procedure is developed next to simulate the magneto-thermo-elastic behavior of a finite-size ferromagnetic plates. The effects of thermal and magnetic fields on the magneto-thermo-elastic bending and buckling is investigated in some detail.

Introduction to Thermoacoustic Models for Combustion Instability Prediction Using Flame Transfer Function (화염 전달 함수를 이용한 열음향 연소 불안정 해석 모델 소개)

  • Kim, Dae-Sik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.15 no.6
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    • pp.98-106
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    • 2011
  • This paper reviews the state-of-the-art thermoacoustic(TA) modeling techniques and research trend to predict major parameters determining combustion instabilities in lean premixed gas turbine combustors. Linear TA modeling results give us an information on eigenfrequencies and initial growth rate of the instabilities. For the prediction, linear relation equation between acoustic waves and heat release oscillations should be derived in the determined system. Key information for this analysis is to determine the heat release fluctuations in the combustor, which is typically obtained by using n-${\tau}$ function from flame transfer function measurements and/or predictions. Great advancement in the linear TA modeling has been made over a couple of decades, and some successful prediction results have been reported in actual gas turbine combustors. However nonlinear TA model developments which are required to analyze nonlinear system behaviors such as limit cycle saturation and transition phenomena are still limited in a very simple system. In order to fully understand combustion instabilities in a complicated real system, nonlinear flame dynamics and acoustic wave interaction with nonlinear system boundary conditions should be explained from the nonlinear TA model developments.

A Study of the Cubic Field Splitting Parameter 10Dq by Means of One-Center Expansion of Complex MO (착물 분자궤도함수의 일점 전개에 의한 입방결정장 분열 파라미터 10Dq의 고찰)

  • Hojing Kim;Sangyoub Lee
    • Journal of the Korean Chemical Society
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    • v.22 no.2
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    • pp.67-77
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    • 1978
  • MO's of a complex are expanded in terms of the set of Shull-Lowdin functions based on a single point, the nucleus of central metal ion, and the result was interpreted from the viewpoint of perturbation theory. We find that even in the case of $[NiF_6]^{4-}$, which has relatively small covalency, excited configurations with high orbital angular momentum are considerably mixed into $e_g$ and $t_{2g}$, orbitals of central metal ion, and that the distortions in these orbitals differ from each other. Therefore it is concluded that the energy difference between $e^*_g$ and $t^*_{2g}$, orbitals evaluated in the MO scheme has little meaning of the unique parameter 10Dq in the crystal field theory, and that such a unique parameter cannot be defined in a rigorous sense in the MO scheme.

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Flexural Vibration of a Bar with Periodically Nonuniform Material Properties (재질이 주기적으로 불균일한 보의 굽힘 진동 해석)

  • 김진오;문병환;김준태
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.3
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    • pp.73-78
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    • 1999
  • The paper describes a theoretical study on the flexural vibration of an elastic flat bar with periodically nonuniform material properties. The approximate solution of the natura1 frequency and mode shape has been obtained using the perturbation technique for sinusoidal modulation of the flexural rigidify and mass density. The numerical solution obtained by using the finite element method verifies the trend of the approximate solution. It appears that distributed vibrations exist in the low modes, and this approach can be extended to the vibration analysis of the p1ate in the flat panel speaker.

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A Study on Control of Rotary Inverted Pendulum systems using State Feedback and Reset Control Approaches (상태궤환 기법을 적용한 회전식 역진자 시스템의 리세트 제어에 관한 연구)

  • Han, Hyun-Tae;Cho, Hyun-Cheol;Shin, Dong-Gi;Lee, Young-Jin;Lee, Kwon-Soon
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.2039_2040
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    • 2009
  • 본 논문은 리세트(reset) 제어이론과 상태궤환 안정성 기법을 이용하여 회전식 역진자 시스템의 강인제어시스템을 제안한다. 우선 복잡한 비선형 역진자 시스템을 평형점에서 선형화한 후 상태궤환기법을 이용하여 안정한 모델을 구성한다. 이 선형시스템 모델에서 발생할 수 있는 시스템 섭동으로 인한 실시간 제어오차를 보상하기 위한 리세트 제어알고리즘을 보조제어시스템으로 추가한다. 컴퓨터 시뮬레이션을 통해 제안한 제어 알고리즘의 타당성 및 성능의 개선정도를 분석한다.

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Development of a Control Module in Multibody Dynamics Program CADyna (다물체동역학 해석 프로그램 CADyna의 제어모듈 개발)

  • 김승오;전경진;손정현;유완석
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.4
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    • pp.106-113
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    • 2002
  • A procedure to model and simulate control systems is presented using CADyna and MATLAB/Simulink computer codes. For the plant modeling, a technique for obtaining the state matrices from CADyna is presented. To obtain state matrices from CADyna models, perturbation theory is used. These state matrices are then used in NATLAB to design a controller for the plant. The controller design can subsequently be incorporated into the CADyna model and its closed loop performance is evaluated. Examples are presented to verify the developed methodology.

Analysis of a Panel Contribution of a Vehicle Compartment Using the Acoustic Reciprocal Theorem (음향 상호성 이론을 이용한 승용차 차실 판넬의 기여도 해석)

  • Kim, M.G.;Park, T.W.;Lee, S.H.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.2
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    • pp.59-72
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    • 1994
  • For a panel contribution of the passenger vehicle compartment, a model was created for acoustic analysis of the passenger vehicle compartment and through the acoustic normal modal analysis, frequencies and mode shapes of the resonance modes were calculated. Also, the contribution analysis of each panel was executed using acoustic reciprocal theorem, and through this analysis, normalized responses at the particular point indicate the relative contribution of each panel for generating noise and vibration

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Adjoint 방법론을 이용한 확률론적 지하수 유동 경로 평가

  • 황용수;장태수;조영민;한경원
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2001.04a
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    • pp.81-84
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    • 2001
  • 고준위 방사성 폐기물 영구처분 안전성을 평가하기 위하여 입력 자료로 처분장 주변 각 암 반에서의 지하수 유동 속도 및 유동 시간이 요구된다. 이러한 유동 속도와 시간은 대부분의 경우 단일 값이 요구되지만 고준위 방사성 처분의 경우 지하 매질의 불확실성을 고려하기 위하여 확률론적 분석이 요구된다. 지하수 유동 속도 및 시간이 확률밀도함수로 표시되기 위해서는 기존의 방법에서는 수리 해석의 입력 인자 값들을 변화시키면서 반복적인 계산을 수행하는 방법이 사용되었다. 그러나 이러한 방법론의 한계를 극복하기 위해 최근 섭동 이론을 이용한 adjoint 방법론이 사용되고 있는 바 이를 이용하여 가상 처분장에서의 지하수 유동 속도와 시간을 확률론적으로 해석하였다.

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A Study on the Birefringence Properties of Single Mode Optical Fiber (단일모우드 광섬유의 Birefringence특성에 관한 연구)

  • 김은수;박한규
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.7 no.4
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    • pp.161-166
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    • 1982
  • In this paper, the intrinsic birefringence and twist-induced rotation of the single mode optical fiber have been investigated. On the analysis, the optical fiber has been modeled as a linear retarder and the intrinsic linear retardation of the single mode optical fiber is approximately found to be 2.57'/m from the measurement. Theoretically analyzing the twist-induce rotation by the purturbation theory, it is found that the magnitude of the twist-induced rotation varies linearly with the twisted angle. And this theorerical result has been in good accord with the experimental result.

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