• Title/Summary/Keyword: 비선형 현상

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Curved quadratic triangular degenerated-shell elements for geometric non-linear analysis (기하학적 비선형 해석을 위한 곡면 2차 삼각형 쉘 요소에 관한 연구)

  • Kim, Chang-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.2
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    • pp.46-53
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    • 2005
  • Compare to the large number of curved quadrilateral degenerated-shell elements, there are only a very few curved triangular degenerated-shell elements. Based on the assumed natural strain sampling scheme previously developed for a quadratic degenerated-shell element for linear analysis, this paper devises geometric non-linear six-node degenerated-shell element. The element can be curved and is only equipped with the standard nodal d.o.f.'s. Careful consideration has been exercised to circumvent various locking phenomena that plague degenerated-shell element. Numerical examples are presented to illustrate efficiency.

Fabrication of periodically poled lithium niobate and quasi-phase matched second harmonic generation (주기적 분극반전된 LiN$bO_3$ 결정의 제작과 유사위상정합 2차조화파 발생)

  • 노정훈;김홍기;전옥엽;차명식;김봉기;이범구
    • Proceedings of the Optical Society of Korea Conference
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    • 2000.02a
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    • pp.306-307
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    • 2000
  • 1962년 Armstrong 등에 의해 second harmonic generation(SHG) 의 이론이 완성된 후 SHG 효율을 높이기 위한 방법으로 비선형성이 큰 물질의 개발과 더불어 위상정합(phase matching)을 만족시키는 여러가지 방법이 연구 되었다. 특히 위상정합의 경우 지금까지는 복굴절을 이용하는 방법이 널리 사용되었으나 이 경우 입사광의 파장이 제한적이고, 많은 무기물 결정에서 비선형광학계수의 가장 큰 텐서 성분인 $d_{zzz}$를 사용할 수 없다는 단점을 가지고 있다. 반면 유사위상정합(Quasi-phase matching:QPM) 은 비선형광학계수( $d_{zzz}$)의 방향을 결맞음 길이(coherence length)마다 분극반전 시켜주어 2차 조화파의 진폭을 길이방향으로 계속 증가시키는 방법으로 구역반전된 길이를 조절하면 거의 모든 파장에 대해 비임계 위상정합( $d_{zzz}$ 사용)이 가능하고, 2차 조화파가 기본파의 전파경로에서 벗어나는 walk-off 현상이 없어 SHG 전환효율을 극대화할 수 있다. (중략). (중략)

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Threshold Crossing Rate, Phase Distribution and Group Properties of Nonlinear Random Waves of finite Bandwidth (유한한 Bandwidth를 갖는 비선형 불규칙 파열에서의 Threshold Crossing Rate, 위상분포와 파군특성)

  • Jo, Yong-Jun
    • Journal of Korea Water Resources Association
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    • v.30 no.3
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    • pp.225-233
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    • 1997
  • The nonlinear effects on the statistical properties of wave groups in terms of the average nomber of waves in a group and the mean number of waves in a high run is studied in this paper utilizing the complex envelope and total phase function, random variable transformation technique and perturbation method. It tures out that the phase distribution is modified significantly by nonlinearities and it show systematic excess of values near the mean phase and the corresponding symmetrical deficiency on both sides away from the mean. for the case of threshold crossing rate, it turns out that threshold crossing rate reaches its maxima just below the mean water level rather than zero and considerable amount of probability mass is shifted toward the larger values of water surface elevation as nonlinearity is getting profound. Furthermore, the mean waves in a high run associated with nonlinear wave are shown to have larger values than the linear counterpart. Similar trend can also be found in the average number of waves in a group.

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Spectral Analysis of Nonliner Dynamic Response for Dynamic Instability of Shallow Elliptic Paraboloidal Shells (얕은 타원포물곡면쉘의 동적 불안정 현상의 규명을 위한 비선형 동적 응답의 스펙트럼 분석)

  • 김승덕
    • Computational Structural Engineering
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    • v.8 no.2
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    • pp.153-161
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    • 1995
  • The dynamic instability for snapping phenomena has been studied by many researchers. There is few paper which deal with the dynamic buckling under the load with periodic characteristics, and the behavior under periodic excitation is expected the different behavior against step excitation. In this study, the dynamic direct snapping of shallow elliptic paraboloidal shells is investigated under not only step excitation but also sinusoidal and seismic excitations, applied in the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equations of motion, and examined by the Fourier spectral analysis in order to get the frequency-dependent characteristics of the dynamic instability for various load levels. The results show that the dynamic instability phenomenon carried out from stable to unstable region reveals considerably different mechanism depending on the characteristics of excitations.

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A Design of Adaptive Backstepping Controller for Improving Position Accuracy of Linear Motor-based Container Transportation System with Dynamic Friction (선형전동기기반 컨테이너 이송시스템의 위치정확도 향상을 위한 적응 Backstepping 제어기 설계)

  • Seo, Jung-Hyun;Han, Geun-Jo;Lee, Kwon-Soon;Lee, Jin-Woo
    • Journal of Navigation and Port Research
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    • v.31 no.1 s.117
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    • pp.55-64
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    • 2007
  • In general mechanical servo systems, friction deteriorates the performance of controllers by its nonlinear characteristics. Especially, friction phenomenon causes steady-state tracking errors and limit cycles in position and velocity control systems, even though gains of controllers are tuned well in linear system model. Even if sensor is used higher accuracy level, it is difficult to improve tracking performance of the position to the same level with a general control method such as PID type. Therefore, many friction models were proposed and compensation methods have been researched actively. In this paper, we consider that the variation of mover's mass is various by loading and unloading. The normal force variation occurs by it and other parameters. Therefore, the proposed control system is composed of main position controller and a friction compensator. A parameter estimator for a nonlinear friction model is designed by adaptive control law and adaptive backstepping control method.

Calculations of Shielding Failure Rates According To The Hillside Angles (대지경사각을 고려한 차례실패 사고율 검토)

  • Kang, Y.W.;Kwak, J.S.
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.615-617
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    • 2005
  • 대기중에 위치한 뇌운안에 전하가 떠다니는 상태에서는 구름안과 주변에 높은 전계의 전위가 발생한다. 이 전하가 축적되면 대지 방전이 발생하고 송전선로 등에 뇌격이 침입하게 된다. 뇌 방전은 수 km에 달하는 대기중에 발생하는 거대한 전기현상이지만 이 낙뢰가 전기의 흐름이라는 것은 벤자민 프랭클린의 현장 시험에 대해 최초로 증명되었다. 이러한 대기중에 발생하는 거대한 전기현상인 낙뢰가 송전선로에 침입하여 송선선로 애자련을 섬락시키는 과정은 대단히 복잡한 전자기적인 현상이다. 그것은 가스 방전 현상, 감속에 중요한 역할을 하는 전자계의 빠른 변화, 도체와 철탑에 나타나는 코로 나와 관련된 비선형 효과 및 주파수 및 전류와 관련된 대지의 임피던스 통 다양한 현상이 종합적으로 관련된다. 따라서 가공 송전선로의 낙뢰에 대한 동작특성의 평가시 낙뢰 현상의 불규칙한 특성 및 신뢰할만한 데이터의 부족에 따른 많은 불확실성이 존재한다. 이 때문에 가공 송전선로에서 낙뢰에 의한 트립(Trip) 사고수의 계산을 위해 단순화된 방법이 아주 유용하며 효과적일 수 있다. 본 논문에서는 EGM (Electrogeometric Model) 모델을 사용하여 대지경사자의 크기에 따른 차폐실패 트립 사고율의 영향을 검토하였다.

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발진 임계치에서 Nd:YAG 레이저의 발진 특성

  • ;;V. Ivanov;K. Volodchenko
    • Proceedings of the Optical Society of Korea Conference
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    • 2000.02a
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    • pp.142-143
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    • 2000
  • 레이저는 입력을 증가시킴에 따라 레이저의 꺼짐 상태에서 레이저의 켜짐 상태로 전이한다. 그러나 그 전이 현상에 대해서는 아직 밝혀진 바가 없다. 이때까지 이 현상은 처음 자발전이의 빛이 점점 유도전이로 바뀌며 그 빛이 점점 세어져 레이저의 출력이 생기기 시작하고 이것이 레이저 입력의 증가에 따라 연속적으로 발전하는 것으로 알려져 왔다. 그러나 이러한 결과에 반대되는 결과들이 최근 밝혀지고 있다[1-2]. 그것은 이산화탄소 레이저에서 이득을 변조시키면 방전이 불안정해지고 그 결과 레이저의 출력도 불안정해 지는데 특히 발진 문턱 근처에서 레이저의 출력은 불규칙 적으로 레이저의 출력이 사라지는 현상이 생긴다는 것이다[1]. 또 다른 하나는 cw Nd:YAG 레이저를 아크 램프로 여기시켜 발진시키면 발진 문턱 근처에서 이 레이저의 출력도 불규칙적으로 레이저의 출력이 사라지는 것으로 나타난다[2]. 이 현상은 레이저의 입력을 증가시킴에 따라 레이저의 꺼짐 상태에서 발진 상태로 전이할 때 그 중간에 불규칙적인 레이저의 꺼짐 상태가 존재한다는 것이 된다. 이 현상이 비선형 동력학의 특이한 현상 중의 하나인 on-off 간헐성임[3]이 밝혀졌다. (중략)

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Detecting Nonlinearity of Hydrologic Time Series by BDS Statistic and DVS Algorithm (BDS 통계와 DVS 알고리즘을 이용한 수문시계열의 비선형성 분석)

  • Choi, Kang Soo;Kyoung, Min Soo;Kim, Soo Jun;Kim, Hung Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.2B
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    • pp.163-171
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    • 2009
  • Classical linear models have been generally used to analyze and forecast hydrologic time series. However, there is growing evidence of nonlinear structure in natural phenomena and hydrologic time series associated with their patterns and fluctuations. Therefore, the classical linear techniques for time series analysis and forecasting may not be appropriate for nonlinear processes. In recent, the BDS (Brock-Dechert-Scheinkman) statistic instead of conventional techniques has been used for detecting nonlinearity of time series. The BDS statistic was derived from the statistical properties of the correlation integral which is used to analyze chaotic system and has been effectively used for distinguishing nonlinear structure in dynamic system from random structures. DVS (Deterministic Versus Stochastic) algorithm has been used for detecting chaos and stochastic systems and for forecasting of chaotic system. This study showed the DVS algorithm can be also used for detecting nonlinearity of the time series. In this study, the stochastic and hydrologic time series are analyzed to detect their nonlinearity. The linear and nonlinear stochastic time series generated from ARMA and TAR (Threshold Auto Regressive) models, a daily streamflow at St. Johns river near Cocoa, Florida, USA and Great Salt Lake Volume (GSL) data, Utah, USA are analyzed, daily inflow series of Soyang dam and the results are compared. The results showed the BDS statistic is a powerful tool for distinguishing between linearity and nonlinearity of the time series and DVS plot can be also effectively used for distinguishing the nonlinearity of the time series.

A Study on the Boundary Element Method for Numerical Analysis of Nonlinear Free Surface Waves(I) (비선형 자유표면파의 수치해석을 위한 경계요소법에 대한 연구 (I))

  • Sung, Hong G.;Hong, Sa Y.;Choi, Hang S.
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.4
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    • pp.53-60
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    • 1997
  • Nonlinear free surface flow phenomena have teen studied by several kinds of numerical methods, of which boundary element method has been known as most promising one. There, however, remain many difficulties to be solved in the numerical procedures by boundary element analysis. In this paper, an efficient calculation of elemental integrals and iterative solution algorithm for the resulting system of equations were thoroughly investigated in order to enhance the procedure of the boundary element analysis. Advantages of the herein developed boundary element analysis code are demonstrated in terms of accuracy and convergence for typical boundary-value problems with free surface.

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Linear and Nonlinear Stability Analysis of Shells Using Degenerated Isoparametric Elements (등매개(等媒介) 변수요소(變數要素)를 이용한 쉘의 선형(線形) 및 비선형(非線形) 안정해석(安定解析))

  • Lee, Nam Ho;Choi, Chang Koan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.2
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    • pp.21-28
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    • 1987
  • The paper describes the analysis of large displacement problems including instability phenomena. The element used in this is a degenerated isoparametric shell element with eight nodes. Total Lagrangian formulation has been adopted in this study using Newton-Raphson iteration method with incremental load. The linear stability analyses performed usually for the initial position can be repeated at several advanced fundamental states on the non-linear buckling path. Thus a current estimate of the failure load is given. The numerical examples of a cylindrical panel under uniform load, simply supported plate under axial load, and clamped plate under uniform load are carried out. The examples applying degenerated isoparametric elements to bifurcation buckling and nonlinear collapse problems are also performed.

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