• Title/Summary/Keyword: 비선형도

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Stability Analysis of Induction Motor by Lyapunov Function Construction of Matrix Polynominal Type (행렬다항식 LYAPUNOV함수 구성에 의한 유도전동기의 안전도 해석)

  • 윤병도;우정인;이준탁
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.2 no.4
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    • pp.62-69
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    • 1988
  • 선형 시스템에 대한 Lyapunov 함수의 구성법은 잘 알려져 있으나, 비선형 시스템의 Lyapunov 함수 구성법은 아직 체계화되어 있지 못하다. 따라서, 본 논문에서는, 비선형 시스템의 안전도 해석을 위하여, 종래의 정상상태 부근에서 Taylor 전개에 의한 선형화 기법에 의존하지 않고, 비선형 시스템을 나타내는 상태공간의 활동성 모델로부터, 비선형성을 나타내는 항을 분리하여, 특수행렬변환시킴으로서, 선형 시스템의 Lyapunov 함수 구성법을 살린, 행렬다항식형 Lyapunov 함수를 구성하고, 이를 유도전동기의 안전도 해석에 적용시켰다. 그 결과, 구해진 안정영역은, 선형화에 의한 것보다는 훨씬 넓은 초공간으로 표현되는 유도전동기의 점근안정영역이 되었다.

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The performance Evaluation of SA filters for images corrupted by mixed noise (혼합 잡음 영상에서 SA 필터의 성능 분석)

  • Song, Jong-Kwan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.3
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    • pp.471-478
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    • 2007
  • The SA fillers encompass a large class of filters based on order statistics as veil as linear FIR filters. Using SA later structure, it is possible to design linear and non-linear filters under a unified framework. In this paper SA filters are applied to an image smoothing problem for mixed noise. Original image is contaminated by Gaussian and impulsive noise. Optimal SA filters are designed and applied to contaminated image. The experimental result shows that SA filters outperform linear FIR and ordering-based nonlinear filters.

Inelastic Nonlinear Analysis of Arch Truss and Space Truss Structures (아치 트러스 및 공간 트러스 구조의 비탄성 비선형 거동해석)

  • Kim, Kwang-Joong;Jung, Mi-Roo;Kim, Yeon-Tae;Baek, Ki-Youl;Lee, Jae-Hong
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.5
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    • pp.47-58
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    • 2008
  • Spatial structure is an appropriate shape that resists external force only with in-plane force by reducing the influence of bending moment, and it maximizes the effectiveness of structural system. With this character of the spatial structure, generally long span is used. As a result, large deflection is accompanied from the general frame. the structure is apt to result in a large deflection even though this structure experiences a small displacement in absence. Usually, nonlinear analysis in numerical analysis means geometric nonlinearity and material nonlinearity and complex nonlinearity analysis considers both of them. In this study, nonlinear equation of equilibrium considering geometric nonlinearity as per finite element method was applied and also considered the material nonlinearity using the relation of stress-strain in element. It is applied to find unstable result for tracing load-deflection curve in the numerical analysis tech. especially Arc-length method, and result of the analysis was studied by ABAQUS a general purpose of the finite element program. It is found that the present analysis predicts accurate nonlinear behavior of plane and space truss.

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기하학적 계획법

  • Kang, Suk-Ho
    • Journal of the Korean Operations Research and Management Science Society
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    • v.1 no.1
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    • pp.51-54
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    • 1976
  • 1964년에 Duffin과 Zener는 기하적 계획법(Geometric Programming)이란 새로운 비선형 계획법(Nonlinaer Programming)을 개발하였다. 이 새로운 기하적 계획법은 수주한 형태의 비선형 계획문제에만 적용이 가능하지만 반면 적용이 가능한 문제에 관해서는 매우 강력한 계획법중에 하나가 된다. 지금부터 기하적 계획법의 원리와 그에 따르는 문제해결 예제를 들면서 적용 가능한 비선형 문제를 해결하겠다.

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Nonlinear Optical Properties of Semiconductors and Their Applications to Optoelectronic Devices (반도체의 비선형 광학적 특성 및 그 응용)

  • 박승민
    • Proceedings of the Optical Society of Korea Conference
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    • 1991.07a
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    • pp.129-134
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    • 1991
  • 반도체 물질들은 일반적으로 흡수 끝 (absorption edge) 근처에서 비선형 광학 계수가 이례적으로 크고, 그 반응 속도가 빠른 특성을 갖고 있다. 본 논문에서는 반도체와 반도체 미세구조에 있어서의 비선형 광학적 특성 및 초고속 논리 광소자로서의 응용을 고찰하였다.

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비선형 Normal Mode 진동의 현황과 과제

  • 박철희
    • Journal of the KSME
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    • v.23 no.6
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    • pp.405-411
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    • 1983
  • 비선형 진동은 그간 많은 연구를 하여왔으나, 주로 1자유도계에 국한되었으며, 2자유도 이상의 계에서는 아직도 실용성 있는 연구결과는 극히 제한된 상태에 머물러 있다. 최근 약 30여년간 다자유도계의 비선형 normal mode진동은 산발적으로 연구되어 오다가 1966년 Rosenberg교수가 이를 종합 정리하엿으며, 그 이후에도 많은 연구가 계속되고 있다. 본 해설에서는 이 분야의 주요 연구결과를 소개하고 앞으로 다루어져야할 과제에 대하여 설명하고저 한다.

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Nonlinear Dielectric Effect in Critical Solution (임계용액에서 비선형 유전체 효과)

  • Jo, Chang-Ho
    • The Journal of Natural Sciences
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    • v.3
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    • pp.1-10
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    • 1990
  • 임계 이중 연계혼합물인 nitroethane 과 cyclohexane 혼합물의 임계온도 근처에서 전기적 감수율 (electric susceptibility)을 전기용량의 온도에 대한 변화를 측정하여 얻었다. 비선형 효과를 관측하기 위하여 자기유도 타원편광축 회전에 의한 제3차 비선형 광학감수율을 측정하여 임계지수를 구하였다. 임계지수는 0.34 였다.

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Non-linear Control of Turbojet Engine for High Maneuverability UAV (고기동 무인항공기용 터보제트엔진의 비선형 제어)

  • Han, Dong-Ju;Oh, Seong-Hwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.5
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    • pp.431-438
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    • 2012
  • Non-linear turbojet engine controller with high operational performance has been designed for the high maneuverability UAV. The turbojet engine dynamic performance code has been developed to reflect the non-linear characteristics on controller design, by which the necessity of non-linear controller design was justified by investigating the limitation of linear model derived from the dynamic performance. The PI-like fuzzy controller was designed and enhanced by combining with conventional derivative control. This designed fuzzy controller proves its effectiveness by showing superior control performances over the conventional PID controller along with guaranteeing the safe operation within compressor surge, flame out and turbine temperature limits etc.

Lamb Wave Technique for Ultrasonic Nonlinear Characterization in Elastic Plates (판재의 초음파 비선형 특성평가를 위한 Lamb Wave 기법)

  • Lee, Tae-Hun;Kim, Chung-Seok;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.5
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    • pp.458-463
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    • 2010
  • Since the acoustic nonlinearity is sensitive to the minute variation of material properties, the nonlinear ultrasonic technique(NUT) has been considered as a promising method to evaluate the material degradation or fatigue. However, there are certain limitations to apply the conventional NUT using the bulk wave to thin plates. In case of plates, the use of Lamb wave can be considered, however, the propagation characteristics of Lamb wave are completely different with the bulk wave, and thus the separate study for the nonlinearity of Lamb wave is required. For this work, this paper analyzed first the conditions of mode pair suitable for the practical application as well as for the cumulative propagation of quadratic harmonic frequency and summarized the result in for conditions; (1) phase matching, (2) non-zero power flux, (3) group velocity matching, and (4) non-zero out-of-plane displacement. Experimental results in aluminum plates showed that the amplitude of the secondary Lamb wave and nonlinear parameter growed up with increasing propagation distance at the mode pair satisfying the above all conditions and that the ration of nonlinear parameters measured in Al6061-T6 and Al1100-H15 was closed to the ratio of the absolute nonlinear parameters.

A Study on the Nonlinear Deterministic Characteristics of Stock Returns (주식 수익률의 비선형 결정론적 특성에 관한 연구)

  • Chang, Kyung-Chun;Kim, Hyun-Seok
    • The Korean Journal of Financial Management
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    • v.21 no.1
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    • pp.149-181
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    • 2004
  • In this study we perform empirical tests using KOSPI return to investigate the existence of nonlinear characteristics in the generating process of stock returns. There are three categories in empirical tests; the test of nonlinear dependence, nonlinear stochastic process and nonlinear deterministic chaos. According to the analysis of nonlinearity, stock returns are not normally distributed but leptokurtic, and appear to have nonlinear dependence. And it's decided that the nonlinear structure of stock returns can not be completely explained using nonlinear stochastic models of ARCH-type. Nonlinear deterministic chaos system is the feedback system, which the past incidents influence the present, and it is the fractal structure with self-similarity and has the sensitive dependence on initial conditions. To summarize the results of chaos analysis for KOSPI return, it is the persistent time series, which is not IID and has long memory, takes biased random walk, and is estimated to be fractal distribution. Also correlation dimension, as the approximation of fractal dimension, converged stably within 3 and 4, and maximum Lyapunov exponent has positive value. This suggests that chaotic attractor and the sensitive dependence on initial conditions exist in stock returns. These results fit into the characteristics of chaos system. Therefore it's decided that the generating process of stock returns has nonlinear deterministic structure and follow chaotic process.

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