• 제목/요약/키워드: Phase plane plot

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센서의 설치 오차에 따른 자기베어링 지지 로터계의 안정도에 관한 연구 -비선형 자기력 모델에 대한 고찰- (A Stability Analysis of the Magnetic Bearing System Subject to Sensor dislocation Error -Discussion on Nonlinear Magnetic Force Model-)

  • 정재일;김종원
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 추계학술대회 논문집
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    • pp.799-805
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    • 1996
  • In many cases, the magnetic farce model is linearized at the origin in designing the controller of a magnetic bearing system. However. this linear assumption is violated by the unmodeled nonlinear effect such as sensor dislocation and backup bearing dislocation. Therefore, a direct probe into the nonlinear magnetic force model in an active magnetic bearing system is necessary. To analyze the nonlinear magnetic force model of a magnetic bearing system, phase plot analysis which is to plot the numerical solution of the nonlinear equation in several initial points in the interested region is applied. Phase plot analysis is used to observe a nonlinear dynamic system qualitatively (not quantitatively). With this method, we can get much useful information of the nonlinear system. Among this information, a bifurcation graph that represents stability and locations of fixed points is essential. From the bifurcation graph, a stability criterion of magnetic bearing system is derived.

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충돌회피를 위한 극한 운전시 자동차의 동적안정성 해석 (Dynamic Stability Analysis of A Vehicle in Limit Driving for Crash Avoidance)

  • 김성필;백운경
    • 동력기계공학회지
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    • 제1권1호
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    • pp.106-123
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    • 1997
  • In this study, vehicle directional stability is investigated for limit driving for crash avoidance maneuver using a full vehicle dynamic model. The model was analytically validated using typical step steering and lane change simulation. Limit driving condition for the vehicle model was quoted from research results of references. It was demonstrated that instable vehicle motion was caused by not only road conditions but also driving conditions. Also, the simulation showed that braking combined with steering caused very hazardous situation in crash avoidance maneuver. Finally, phase plane plot approach was used to evaluate the dynamic instability.

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지구 비대칭 중력장이 정지위성에 미치는 효과 (RESONANCE EFFECT ON THE GEOSYNCHRONOUS ORBIT DUE TO THE NON-ZONAL GEOPOTENTIAL)

  • 박종욱;문인상;최규홍;최용석
    • Journal of Astronomy and Space Sciences
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    • 제7권1호
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    • pp.23-35
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    • 1990
  • 지구의 중력장 중에서 비대칭 중력장이 정지위성의 궤도요소에 미치는 섭동을 계산하였다. 지구의 비대칭 중력장(non-zonal geopotential)에 의한 섭동이 인공위성의 궤도요소에 미츤 영향은 $J_2$항 또는 Luni-Solar섭동에 의한 영향보다는 작지만, 이 지구 비대칭 중력장 함수에는 sine값이 1이 되는 강한 공명항이 존재한다. 따라서 지구의 비대칭 중력장 중 이러한 공명항에 의한 정지위성의 궤도요소 변화를 구하였다. 지구의 비대칭 중력장에 의해서 섭동을 받는 궤도 이심률의 변화를 $e_c$$e_s$의 위상면상에서 나타냈고, 평균경도($L_c$)와 궤도 반장경(a)에 대한 변화양상도 구하였다.

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에너지보행과 일반보행에서 몸통운동의 특성 비교 (The Comparison of Characteristics of Trunk Motion between Energy Walking and Normal Walking)

  • 신제민
    • 한국운동역학회지
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    • 제17권3호
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    • pp.133-145
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    • 2007
  • The purpose of this paper was to compare of difference between energy walking and normal walking. Subjects were selected 8 male undergraduates. The kinematic variables of a pelvis and a thorax were analysed at the take off and contact with 3d cinematography. In addition to the variables, the phase plot angle was calculated in order to definite characteristics in the phase space. The pelvic angle and angular velocity showed significant differences in the flexion/extension between two walking patterns. The pelvic angle and angular velocity were increasing when walking speed was increasing and magnitude of the variables of energy walking was larger than corresponding values for normal walking. On the other hand, the thoracic angle demonstrated significant differences in the flexion/extension and rotation between two walking patterns. The angles of energy walking were smaller in the flexion/extension and were larger in the rotation than the angle of normal walking. The kinematic characteristics of energy walking were also showed clearly significant differences in the range of motion and the relative angle of the trunk. The angle of phase plot only showed demonstrated a significant difference in the rotation at contact between the two walking patterns.

Nonlinear Dynamic Analysis of Cantilever Tube Conveying Fluid with System Identification

  • Lim, Jae-Hoon;Jung, Goo-Choong;Park, Yeon-Sun
    • Journal of Mechanical Science and Technology
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    • 제17권12호
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    • pp.1994-2003
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    • 2003
  • The vibration of a flexible cantilever tube with nonlinear constraints when it is subjected to flow internally with fluids is examined by experimental and theoretical analysis. These kinds of studies have been performed to find the existence of chaotic motion. In this paper, the important parameters of the system leading to such a chaotic motion such as Young's modulus and the coefficient of viscoelastic damping are discussed. The parameters are investigated by means of system identification so that comparisons are made between numerical analysis using the design parameters and the experimental results. The chaotic region led by several period-doubling bifurcations beyond the Hopf bifurcation is also re-established with phase portraits, bifurcation diagram and Lyapunov exponent so that one can define optimal parameters for system design.

시스템 규명을 통한 외팔 송수관의 비선형 동적 거동 해석 (Nonlinear Dynamic Analysis of a Cantilever Tube Conveying Fluid with System Identification)

  • 임재훈;정구충;최연선
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.495-500
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    • 2003
  • The vibration of a flexible cantilever tube with nonlinear constraints when it is subjected to flow internally with fluids is examined by experiment and theoretical analysis. These kind of studies have often been performed that finds the existence of chaotic motion. In this paper, the important parameters of the system leading to such a chaotic motion such as Young's modulus and coefficient of viscoelasticity in tube material are discussed. The parameters are investigated by means of a system identification so that comparisons are made between numerical analysis using the parameters of a handbook and the experimental results. The chaotic region led by several period-doubling bifurcations beyond the Hopf bifurcation is also re-established with phase portraits and bifurcation diagram so that one can define optimal parameters for system design.

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유전함수를 이용한 ZnO 바리스터의 입계 특성 분석 (Analysis of Grain Boundary Phenomena in ZnO Varistor Using Dielectric Functions)

  • 홍연우;신효순;여동훈;김종희
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2008년도 추계학술대회 논문집 Vol.21
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    • pp.178-178
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    • 2008
  • ZnO 바리스터는 인가되는 전압에 따라 저항이 변하는 전압 의존형 저항체이며 각종 전기 전자 정보통신용 제품에 정전기(ESD) 대책용 소자로 폭 넓게 사용되는 전자 세라믹스 부품이다. 특별히 Bi-based ZnO 바리스터는 다양한 상(phase)으로 구성되어 있으며 그 입계의 전기적 특성은 소량 첨가되는 dopant의 종류에 따라 다양하게 변하는 것으로 알려져 있다. 본 연구에서는 Bi-based ZnO 바리스터 (ZnO-$Bi_2O_3$, ZnO-$Bi_2O_3-Mn_3O_4$)에서 각종 유전함수$(Z^*,M^*,\varepsilon^*,Y^*,tan{\delta})$를 이용하여 입계의 주파수-온도에 대한 특성을 살펴 보았다. 일반적인 ZnO 바리스터 제조법으로 시편을 제작하여 78K~800K 온도 범위에서 각종 유전함수를 이용하여 복소 평면도(complex plane plot)와 주파수 응답도(frequency explicit plot)의 방법으로 defect level과 입계 특성(활성화 에너지, 정전용량, 저항, 입계 안정성 등)에 대하여 고찰하였다. ZnO-$Bi_2O_3$(ZB)계와 ZnO-$Bi_2O_3-Mn_3O_4$(ZBM)계 모두 상온 이하의 온도에서 $Zn_i$$V_o$의 결함이 나타났으며, 이들의 결함 준위는 각 유전함수에 따라 다소 차이가 났다. 입계 특성으로 ZB계는 이상구간(560~660K)을 전후로 1.15 eV $\rightarrow$ 1.49 eV의 활성화 에너지의 변화가 나타났지만, ZBM계는 이러한 현상이 나타나지 않았다. 또한 입계 전위 장벽의 온도 안정성에 대해서는 Cole-Cole model을 적용하여 분포 파라미터 (distribution parameter; $\alpha$)를 구하여 고찰하였다. ZB계의 입계 안정성은 온도에 따라 불안정해 졌지만, ZBM계는 안정하였다.

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발진출력 측정을 통한 94 GHz Gunn Diode의 최대 전력 조사 (A Evaluation of the Maximum Power of the 94 GHz Gunn Diode Based on the Measured Oscillation Power)

  • 이동현;염경환;정명숙;전영훈;강연덕;한기웅
    • 한국전자파학회논문지
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    • 제26권5호
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    • pp.471-482
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    • 2015
  • 본 논문에서는 94 GHz Gunn 고정발진기를 설계 및 제작하였고, 이를 이용하여 발진기에 사용된 Gunn 다이오드의 최대 전력을 조사하였다. 94 GHz Gunn 고정발진기는 InP Gunn 다이오드가 사용되었고, WR-10 도파관 구조로 설계 및 제작되었다. 제작된 발진기는 발진주파수 95 GHz에서 12.64 dBm의 출력 전력과 1 MHz 오프셋 주파수에서 -92.7 dBc/Hz의 위상잡음 성능을 보였다. 발진기에 사용된 InP Gunn 다이오드의 최대 전력을 조사하기 위해서 발진기 구조를 턱이 있는 구조로 수정하였다. 그리고 이 턱의 높이를 변화시켜, 발진기가 몇 가지의 다른 부하 임피던스를 갖도록 하였다. 이 몇 가지의 다른 부하 임피던스에 대한 결과로써, 포스트 면에서의 부하 실수부 $G_L$에 대한 발진 신호 $V^2$의 그래프를 얻었다. 이 $G_L-V^2$의 그래프를 이용하여, 바이어스 포스트의 손실이 포함된 Gunn 다이오드의 최대 전력 16.8 dBm을 얻었다. 그리고 short된 Gunn 다이오드와 제로 바이어스 상태의 Gunn 다이오드를 이용하여 바이어스 포스트의 손실을 계산하였다. 바이어스 포스트의 손실을 보상한 InP Gunn 다이오드만의 최대 전력은 95 GHz에서 18.55 dBm이다. 이는 사용된 Gunn 다이오드의 데이터시트에 가까운 결과이다.

유동성 및 응축성 복합레진의 점탄성에 관한 유변학적 연구 (RHEOLOGIC STUDY ON THE VISCOELASTIC PROPERTIES OF FLOWABLE AND CONDENSABLE RESIN COMPOSITES)

  • 이인복;조병훈;손호현;권혁춘;엄정문
    • Restorative Dentistry and Endodontics
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    • 제25권3호
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    • pp.359-370
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    • 2000
  • The purpose of this investigation was to observe the viscoelastic properties of five commercial flowable(Aeliteflo, Flow it, Revolution, Tetric flow, Compoglass flow), three conventional hybrid(Z-100, Z-250, P-60) and two condensable(Synergy compact, SureFil) resin composites. A dynamic oscillatory shear test was done to evaluate the storage shear modulus (G'), loss shear modulus(G"), loss tangent(tan ${\delta}$) and complex viscosity(${\eta}^*$) of the resin composites as a function of frequency - dynamic frequency sweep test from 0.01 to 100 rad/s at $25^{\circ}C$ - by using Advanced Rheometric Expansion System(ARES). To investigate the effect on the viscosity of resin composites of filler volume fraction, the filler weight % and volume % were measured by means of Archimedes' principle using a pyknometer. The results were as follows 1. The complex viscosity ${\eta}^*$ of flowable resins was lower than that of hybrid resins and significant differences were observed between brands. The complex viscosity ${\eta}^*$ of condensable resins was higher than that of hybrid resins. The order of complex viscosity ${\eta}^*$ at ${\omega}$=10 rad/s was as follows, Surefil, Synergy compact, P-60, Z-250, Z-100, Aeliteflo, Tetric flow, Compoglass flow, Flow it, Revolution. The relative complex viscosity of flowable resins compared to Z-100 was 0.04~0.56 but Surefil was 30.4 times higher than that of Z-100. 2. The storage shear modulus G' and the loss shear modulus G" of flowable resins were lower than those of hybrid resins but those of condensable resins were higher. The patterns of the change of loss tangent, tan ${\delta}$, of resin composites with increasing frequency were significantly different between brands. The phase angles, ${\delta}$, ranged from $30.2{\sim}78.1^{\circ}$ at ${\omega}$=10 rad/s. 3. All composite resins represent pseudoplastic nature with increasing shear rate. 4. The complex shear modulus $G^*$ and the phase angle ${\delta}$ was represented by the frequency domain phasor form, $G^*({\omega})=G^*e^{i{\delta}}=G^*{\angle}{\delta}$. The locus of frequency domain phasor plots in a complex plane was a valuable method that represent the viscoelastic properties of composite resins. 5. There was no direct linear correlationship but a weak positive relation was observed between filler volume % or weight % and the viscosity of the resin composites.

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수직 진동형 Rheometer를 이용한 복합레진의 유변학적 성질의 측정 (RHEOLOGICAL CHARACTERIZATION OF COMPOSITES USING A VERTICAL OSCILLATION RHEOMETER)

  • 이인복;조병훈;손호현;이상탁;엄정문
    • Restorative Dentistry and Endodontics
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    • 제29권6호
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    • pp.489-497
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    • 2004
  • Objective: The purpose of this study was to investigate the viscoelastic properties related to handling characteristics of composite resins, Methods: A custom designed vertical oscillation rheometer (VOR) was used for rheological measurements of composites. The VOR consists of three parts: (1) a measuring unit, (2) a deformation induction unit and (3) a force detecting unit, Two medium viscous composites, Z100 and Z250 and two packable composites, P60 and SureFil were tested. The viscoelastic material function, including complex modulus $E^{*}$ and phase angle ${\delta}$, were measured. A dynamic oscillatory test was used to evaluate the storage modulus (E'), loss modulus (E") and loss tangent ($tan{\delta}$) of the composites as a function of frequency ($\omega$) from 0.1 to 20 Hz at $23^{\circ}C$. Results: The E' and E" increased with increasing frequency and showed differences in magnitude between brands. The $E^{*}s$ of composites at ${\omega}{\;}={\;}2{\;}Hz$, normalized to that of Z100, were 2.16 (Z250), 4,80 (P60) and 25.21 (SureFil). The magnitudes and patterns of the change of $tan{\delta}$ of composites with increasing frequency were significantly different between brands. The relationships between the complex modulus $E^{*}$, the phase angle ${\delta}$ and the frequency \omega were represented by frequency domain phasor form, $E^{*}{\;}(\omega){\;}={\;}E^{*}e^{i{\delta}}{\;}={\;}E^{*}{\angle}{\delta}$. Conclusions: The viscoelasticity of composites that influences handling characteristics is significant different between brands, The VOR is a relatively simple device for dynamic, mechanical analysis of high viscous dental composites. The locus of frequency domain phasor plots in a complex plane is a valuable method of representing the viscoelastic properties of composites.