• 제목/요약/키워드: Nonlinear phenomena

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당뇨병환자와 정상인의 말초혈관혈류의 비선형적 운동계 분석에 대한 연구 (A Study of the Analysis of Characteristics of Nonlinear Dynamic System on Blood-Flow of Peripheral Blood-Vessel between Diabetic Patients and Control Subjects)

  • 김덕훈;최준영;이상훈;고한우;남상희
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1996년도 추계학술대회
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    • pp.363-367
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    • 1996
  • In general, the physiological systems have shown nonlinear complex phenomena. This study analyzes nonlinear characteristics of the flow of peripheral blood vessel dynamics in physiological systems using chaos theory. We performed this study by means of several quantity methods and power spectrum. The quantity methods are a phase space reconstruction and a poincare's map. And the power spectrum method is a conventional linear analysis. Experimental data have been acquired from examining 10 diabetic patients, and 10 control subjects in initial stable state. In acquisition experminetal data, we anlysized the differences of nonlinear characteristics between diabetic group and control group. The results of quality analysis methods showed the flow of peripheral blood vessel had the nonlinear and chaotic characteristics, screening a strange attractor on reconstructed phase space. In conclusion, the flow dynamics of peripheral blood vessel had a chaotic behavior of nonlinear dynamic systems, dynamic system, and differences of characteristic of nonlinear dynamic system.

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가족 관계에서의 비선형 거동 해석 (Analysis of Nonlinear Dynamics in Family Model)

  • 황림운;배영철
    • 한국지능시스템학회논문지
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    • 제25권4호
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    • pp.313-318
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    • 2015
  • 강조되고 있다. 결혼으로 인한 새로운 부부의 탄생 이외에 처가와 시가 등 새로운 가족이 형성되어 새로최근 가족의 중요성이 운 가족과 갈등을 빚기도 하고 화목을 이루기도 한다. 이러한 연구들은 주로 사회학적인 측면에서만 연구되고 있고 자연과학적인 측면의 하나인 가족관계에 대한 수학적인 모델링이 없어 근본적인 가족 사이의 거동 현상을 밝혀내지 못하고 있다. 이에 본 논문에서는 사회에 대한 비선형 연구의 하나로 가족 구성원 간 특별히 시부모와 며느리의 관계나 처부모와 사위와의 관계를 로미오와 줄리엣의 사랑 모델을 변형하여 새로운 가족 관계 모델을 제안하고 이 모델에서 비선형 거동인 카오스 거동이 있음을 시계열과 위상공간으로 확인한다.

비선형 히스테리시스 진동시스템의 분기해석 (Bifurcation Analysis of a Non-linear Hysteretic Oscillating System)

  • 송덕근;최진권;장서일
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 춘계학술대회논문집
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    • pp.289-294
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    • 2001
  • Three kinds of viscoelastic damper model, which has a non-linear spring as an element is studied analytically and numerically. The behavior of the damper model shows non-linear hysteresis curves which is qualitatively similar to those of real viscoelastic materials. The motion is governed by a non-linear constitutive equation and an additional equation of motion. Harmonic balance method is applied to get analytic solutions of the system. The frequency-response curves show that multiple solutions co-exist and that the jump phenomena can occur. In addition, it is shown that separate solution branch exists and that it can merge with the primary response curve. Saddle-node bifurcation sets explain the occurrences of such non-linear phenomena.

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구름 요소를 사용하는 LM 가이드에서의 마이크로스케일 진동현상 (Micro-scale Vibration Phenomena in a Linear Motion Guide Having Rolling Elements)

  • 이용섭;김윤영;최재석;유정훈;이동진;이석원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.332-336
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    • 2004
  • To position precision machines accurately, linear motion (LM) guides having rolling elements can be used. For ultra-accurate positioning control of the precision machines, the understanding of the dynamic behavior of the LM guide at the macro and/or micro scales is most critical, but the research on this subject is rare. The objective of the present research is to observe the vibration phenomena of the LM guide. Bails are used as the rolling elements in this work. Several experiments show the nonlinear characteristics of the LM guide such as hysteresis behavior and force-dependent natural frequencies phenomena.

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비선형 히스테리시스 진동시스템의 분기해석 (Bifurcation Analysis of a Non-linear Hysteretic Oscillating System)

  • 장서일;송덕근;최진권
    • 한국소음진동공학회논문집
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    • 제12권1호
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    • pp.57-64
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    • 2002
  • Three kinds of viscoelastic damper model, which has a non-linear spring as an element is studied analytically and numerically The behavior of the damper model shows non-linear hysteresis curves which is qualitatively similar to those of real viscoelastic materials. The motion is governed by a non-linear constitutive equation and an additional equation of motion. Harmonic balance method is applied to get analytical solutions of the system. The frequency-response curves sallow that multiple solutions co-exist and that the jump phenomena can occur. In addition, it is shown that separate solution branch exists and that it can merge with the primary response curve. Saddle-node bifurcation sets explain the occurrences of such non-linear Phenomena.

구름 요소를 사용하는 LM 가이드에서의 마이크로스케일 진동현상# (Micro-scale Vibration Phenomena in a Linear Motion Guide Having Rolling Elements)

  • 이용섭;최재석;유정훈;이동진;이석원;김윤영
    • 한국소음진동공학회논문집
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    • 제14권10호
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    • pp.1029-1034
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    • 2004
  • Linear motion ( LM) guides having rolling elements have been used to position precision machines accurately. For ultra-accurate Positioning control of Precision machines, the understanding of the dynamic behavior of the LM guide at the macro and/or micro scales is most critical, but the research on this subject is rare. The objective of the present research is to investigate the vibration phenomena of the LM guide where balls are used as the rolling elements. Several experiments show the nonlinear characteristics of the LM guide such as hysteresis behavior and force-dependent natural frequencies phenomena.

Nonlinear analysis using load-displacement control

  • Kwon, Young-Doo;Kwon, Hyun-Wook;Lim, Beom-Soo
    • Structural Engineering and Mechanics
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    • 제19권2호
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    • pp.153-172
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    • 2005
  • A new load/displacement parameter method is proposed for the simultaneous control of applied loads and structural displacements at one or more points. The procedure is based on a generalized Riks' method, which utilizes load/displacement parameters as scaling factors to analyze post-buckling phenomena including snap-through or snap-back. The convergence characteristics are improved by employing new relaxation factors through an incremental displacement parameter, particularly in a region that exhibits severe numerical instability. The improved performance is illustrated by means of a numerical example.

Optimal Design of Nonlinear Squeeze Film Damper Using Hybrid Global Optimization Technique

  • Ahn Young-Kong;Kim Yong-Han;Yang Bo-Suk;Ahn Kyoung-Kwan;Morishita Shin
    • Journal of Mechanical Science and Technology
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    • 제20권8호
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    • pp.1125-1138
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    • 2006
  • The optimal design of the squeeze film damper (SFD) for rotor system has been studied in previous researches. However, these researches have not been considering jumping or nonlinear phenomena of a rotor system with SFD. This paper represents an optimization technique for linear and nonlinear response of a simple rotor system with SFDs by using a hybrid GA-SA algorithm which combined enhanced genetic algorithm (GA) with simulated annealing algorithm (SA). The damper design parameters are the radius, length and radial clearance of the damper. The objective function is to minimize the transmitted load between SFD and foundation at the operating and critical speeds of the rotor system with SFD which has linear and nonlinear unbalance responses. The numerical results show that the transmitted load of the SFD is greatly reduced in linear and nonlinear responses for the rotor system.

Hybrid 구조물의 비선형 불안정 거동에 관한 연구(I) -초기형상 불완전에 의한 정적 면내비틀림 좌굴 특성- (A Study on the Nonlinear Instability Behavior of Hybrid Structures(I) - Characteristic of Static In-Plane Torsional Buckling by Initial Shape Imperfection-)

  • 김승덕;손수덕;김형석;강문명
    • 한국강구조학회 논문집
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    • 제13권5호
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    • pp.587-597
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    • 2001
  • 연속체 쉘을 이산화한 구조시스템은 돔형 구조물을 만들기 위해 많이 이용되고 있으며, 이러한 구조물은 하중레벨이 어느 임계값에 도달하면 구조물의 형상에 따라 뜀좌굴(snap-through) 또는 분기좌굴(bifurcation)에 의한 불안정 현상이 일어난다. 케이블 돔의 구조거동 특성은 초기장력 및 외력에 다라 비선형성이 강하게 나타나며 또한 초기조건에 매우 민감하게 반응한다. 본 연구에서는 케이블 돔의 불안정 문제를 파악하기 위해 Geiger 모델을 대상으로 하여 초기 장력도입에 의한 형상결정 문제를 다루고 이를 이용하여 완전형상 및 초기형상 불완전을 도입하여 외력에 의한 불안전성현상을 규명한다.

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수직하방 분사된 주의 비선형 거동에 관한 연구 (A Study on the Nonlinear Motion of a Vertical Liquid Jet)

  • 석지권;정환문;문수연;이충원
    • 대한기계학회논문집B
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    • 제26권1호
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    • pp.45-54
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    • 2002
  • The breakup phenomena of a vertical laminar jet issuing from capillary tubes in a quiescent ambient air are investigated using a forced vibration analysis of the surface wave. Using a linear approach to the transient jet velocity, an approximate solution fur the longitudinal motion of a vertical liquid jet is theoretically derived, thus performing an instability analysis by a vibration method. The damping term of this equation is nonlinear as it depends on dimensionless parameters, a Weber number, and an Ohnesorge number. The instability condition is determined based on whether the coefficient of the damping term is less than zero or not. Uniform drop formation is dependent on the vibration frequency fur the forced vibration case.