• 제목/요약/키워드: Unstable system

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통합 샤시 제어를 위한 횡방향 안전성 판단 조건에 관한 연구 (An Investigation of the Lateral Stability Criteria for Integrated Chassis Control)

  • 안국진;좌은혁;고영일;이경수;손기모
    • 자동차안전학회지
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    • 제9권2호
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    • pp.26-32
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    • 2017
  • This paper presents the lateral stability criteria for integrated chassis control. To determine the intervention timing of chassis control system, the lateral stability criteria is needed. The proposed lateral stability criteria is based on velocity-yawrate gain domain to determine whether vehicle is stable. If the yawrate gain violates the proposed criteria, the stability of the vehicle is considered as unstable. Characteristic velocity and critical velocity are employed to distinguish lateral stability criteria. The inside of the two boundaries is stable and the outside is unstable. If yawrate gain of vehicle violates the lateral stability criteria, the chassis control begin to intervene. To validate the lateral stability criteria, both computer simulations and vehicle test are conducted with respect to circular turn scenario. The proposed lateral stability criteria makes it possible to reduce intervention of chassis control system.

내부 유체의 조화 가진에 의한 배관의 주파수응답해석 (Frequency Response Analysis of Pipe Conveying Harmonically Excited Fluid)

  • 오준석
    • 한국군사과학기술학회지
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    • 제8권1호
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    • pp.81-91
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    • 2005
  • It is well known that the natural frequencies of the pipe come to be lower as internal fluid velocity and pressure increase, and the pipe will be unstable if the fluid velocity is higher than critical velocity. But even if the velocity of the fluid below the critical velocity, resonance will be caused by pulsation of the fluid. So the effects of pulsating fluid in pipe should be also taken into consideration for better analysis. The research of the vibration of piping system due to a fluid pulsation has been studied by many people. But most of them are dealt with determining the boundary between stable and unstable region without analyzing forced response in the stable region. In this study, not only stability analysis but also forced response analysis, which is caused by harmonically excited fluid especially, is conducted. In order to analyze the system numerically, the descretized equation is formulated by using FEM(Finite Element Method). And the results of this method are compared with those of AMM(Assumed Mode Method) which were used by many researcher earlier.

비최소위상 상쇄계를 가진 시스템을 위한 주기소음의 적응 역 궤환 제어 (Adaptive inverse feedback control of periodic noise for systems with nonminimum phase cancellation path)

  • 김선민;박영진
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 추계학술대회논문집
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    • pp.437-442
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    • 2000
  • An alternative inverse feedback structure for adaptive active control of periodic noise is introduced for systems with nonminimum phase cancellation path. To obtain the inverse model of the nonminimum phase cancellation path, the cancellation path model can be factorized into a minimum phase term and a maximum phase term. The maximum phase term containing unstable zeros makes the inverse model unstable. To avoid the instability, we alter the inverse model of the maximum phase system into an anti-causal FIR one. An LMS predictor estimates the future samples of the noise, which are necessary for causality of both anti-causal FIR approximation for the stable inverse of the maximum phase system and time-delay existing in the cancellation path. The proposed method has a faster convergence behavior and a better transient response than the conventional FX-LMS algorithms with the same internal model control structure since a filtered reference signal is not required. We compare the proposed methods with the conventional methods through simulation studies.

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대칭 조건을 갖는 2-자유절점 공간 트러스의 평형점과 안정성 (Equilibrium Point and Stability of Double-Free-Nodes Space Truss Under Symmetric Condition)

  • 하준홍;손수덕;이승재;황경주
    • 한국공간구조학회논문집
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    • 제19권4호
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    • pp.69-76
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    • 2019
  • A stadium roof that uses the pin-jointed spatial truss system has to be designed by taking into account the unstable phenomenon due to the geometrical non-linearity of the long span. This phenomenon is mainly studied in the single-free-node model (SFN) or double-free-node model (DFN). Unlike the simple SFN model, the more complex DFN model has a higher order of characteristic equations, making analysis of the system's stability complicated. However, various symmetric conditions can allow limited analysis of these problems. Thus, this research looks at the stability of the DFN model which is assumed to be symmetric in shape, and its load and equilibrium state. Its governing system is expressed by nonlinear differential equations to show the double Duffing effect. To investigate the dynamic behavior and characteristics, we normalize the system of the model in terms of space and time. The equilibrium points of the system unloaded or symmetrically loaded are calculated exactly. Furthermore, the stability of these points via the roots of the characteristic equation of a Jacobian matrix are classified.

동수압 베어링으로 지지되는 연성축의 자기 베어링을 이용한 진동제어에 관한 연구 (A Study on the Vibration Control Using Magnetic Bearings of the Flexible Shaft Supported by Hydrodynamic Bearings)

  • 정성천;장인배;한동철
    • Tribology and Lubricants
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    • 제10권2호
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    • pp.43-50
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    • 1994
  • The hydrodynamic bearing is accepted in many rotating systems because it has a large load carrying capacity. But the anisotropic pressure distribution of the bearing can arise the unstable vibration phenomenon over a certain speed. The magnetic bearing is an active element so that the unstable phenomenon of the hydrodynamic bearing, which is induced by the anisotropic support pressure of the oil film, can be controlled if the control algorithm and the controller gains are chosen appropriately. In this study, we investigate the stabilization method of the hydrodynamic bearing system composing the hybrid bearing which is the single unit of hydrodynamic bearing and magnetic bearing. The load carrying conditions of the hybrid bearing is modelled by the sum of the stiffness and damping coefficients of the hydrodynamic and the magnetic bearings in each direction. The dynamics of the rotor is analyzed by the Finite Element Method and the stability limit is determined by the eigenvalues of the hybrid bearings and shaft system. The eigenvalue study of the system shows that the stability limit of the hybrid bearing is increased compared to that of the hydrodynamic bearing. A Small increment of the stiffness and damping coefficient of the hybrid bearings by the magnetic actuators can increase the stability limit of the system. In this paper we tried to show the design references of the hybrid bearings by using the nondimensional bearing parameters. The analysis results show the possibilities of the stability limit increment of the hydrodynamic bearing system by combining the magnetic bearing.

강체운동 비선형 효과를 고려한 맥동 종동력을 받아 비행하는 보 구조물의 모델링 및 안정성 해석 (Modeling and Dynamic Stability Analysis of a Flying Beam Undertaking Pulsating Follower Forces Considering the Nonlinear Effect Due to Rigid Body Motion)

  • 현상학;유홍희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.510-515
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    • 2000
  • Dynamic stability of a flying structure undertaking constant and pulsating axial forces is investigated in this paper. The equations of motion of the structure, which is idealized as a free-free beam, are derived by using the hybrid variable method and the assumed mode method. The structural system includes a directional control unit to obtain the directional stability. The analysis model presented in this paper considers the nonlinear effect due to rigid body motion of the beam. Dynamic stability of the system is influenced by the nonlinear effect. In order to examine the nonlinear effect, first the unstable regions of the linear system are obtained by using the method based upon Floquet's theory, and dynamic responses of the nonlinear system in the unstable region are obtained by using direct time integration method. Dynamic stability of the nonlinear system is determined by the obtained dynamic responses.

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The Onset and Growth of the Buoyancy-driven Fingering Driven by the Irreversible A+B→C Reaction in a Porous Medium: Reactant Ratio Effect

  • Kim, Min Chan
    • Korean Chemical Engineering Research
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    • 제59권1호
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    • pp.138-151
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    • 2021
  • The effect of a reactant ratio on the growth of a buoyancy-driven instability in an irreversible A+B→C reaction system is analyzed theoretically and numerically. Taking a non-stoichiometric reactant ratio into account, new linear stability equations are derived without the quasi-steady state assumption (QSSA) and solved analytically. It is found that the main parameters to explain the present system are the Damköhler number, the dimensionless density difference of chemical species and the ratio of reactants. The present initial grow rate analysis without QSSA shows that the system is initially unconditionally stable regardless of the parameter values; however, the previous initial growth rate analysis based on the QSSA predicted the system is unstable if the system is physically unstable. For time evolving cases, the present growth rates obtained from the spectral analysis and pseudo-spectral method support each other, but quite differently from that obtained under the conventional QSSA. Adopting the result of the linear stability analysis as an initial condition, fully nonlinear direct numerical simulations are conducted. Both the linear analysis and the nonlinear simulation show that the reactant ratio plays an important role in the onset and the growth of the instability motion.

The Numerical Analysis of Spindle Motor Bearing Composed of Herringbone Groove Journal and Spiral Groove Thrust Bearing

  • Oh, Sang-Man;Rhim, Yoon-Chul
    • KSTLE International Journal
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    • 제2권2호
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    • pp.93-102
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    • 2001
  • Ball bearings have been widely used for the spindle motor bearing in various kinds of information storage devices. Recently many researchers have been trying to replace ball bearings with fluid film bearings because of their superior NRRO(non-repeatable runout) characteristics. In this study, a numerical analysis has been conducted for the complicate bearing system composed of herringbone groove journal bearing and spiral groove thrust bearing for the spindle motor of the information storage device. At first, spindle motor bearing is modeled as journal bearing part and thrust bearing part separately, and then observed various influences of geometric parameters. Previous studies had considered only the translational motion of the journal bearing. However, this study takes the additional 2-degree of freedom rotation into consideration to attempt to describe the real motion of the spindle bearing. As a result, rotational stiffness coefficients and rotational damping coefficients are obtained. In addition, a spindle bearing system made up of four bearings is modeled and interpreted at once and coefficients of dynamic characteristics of each bearing are obtained. Finally, an eigen analysis of bearing system is made with these results. Through this analysis, it is possible to estimate an unstable condition of the system for given geometric parameters and to propose a method which is able to avoid the unstable condition by a proper adjustment of geometric parameters.

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QFT(Quantitative Feedback Theory)를 이용한 불안정한 시스템의 안정화를 위한 강인 제어기 설계 (A Design of the Robust Controller for Stabilization of the Unstable System Using QFT(Quantitative Feedback Theory))

  • 강민구;변기식
    • 융합신호처리학회논문지
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    • 제2권3호
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    • pp.57-64
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    • 2001
  • 본 논문은 시스템의 불확실성과 외란의 불확실성에도 불구하고 원하는 시스템 성능을 만족할 수 있는 강인한 제어기 설계에 대하여 서술한다. QFT(Quantitative Feedback Theory)에 근거한 강인한 제어기 설계과정은 시스템 파라미터 변동과 설계사양을 고려하여 결정되는 템플레이트, 한계조건 그리고 루프형성을 거친다. 설계된 제어기의 성능을 입증하기 위해 파라미터 변동에 매우 민감하고, 비선형성이 강하며 불안정한 특성을 지닌 도립진자시스템에 대하여 적용한다. 설계된 제어기에 대한 시뮬레이션과 실험결과들은 파라메파 변동과 외란에 강인한 제어성능을 보인다.

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제주도 한라산 노루 적정 개체수에 관한 시스템 다이내믹스 모델링 (System Dynamics Modeling for Management of Roe Deer Population in Jejudo)

  • 김도훈;홍영교
    • 한국시스템다이내믹스연구
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    • 제9권2호
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    • pp.45-75
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    • 2008
  • Roe Deer has been preserved for 25 years by the local government and the residents in Jejudo. However, the damage and harm of crops of the residents by Roe Deer are increasing as well. So, some experts worry about the unstability of ecosystem in Mt. Halla where Roe Deer live. This paper discuss the suitable number of Roe Deer population in Jejudo to protect the ecosystem in Mt. Halla and minimize the damage of residents in Jejudo. With system dynamics modeling and simulation, the population of Roe Deer at present is estimated about 2,300. However, the population of Roe Deer stays 'unstable balance'. So, a little change such as poaching and the increase of wild dogs may make the balance of ecosystem broken. According to the result of policy test simulation, we should keep on watching the poaching and maintain the number of wild dogs at about 100, so that the ecosystem in Jejudo can be stable. To reduce the moving of Roe Deer to low region, moreover, we should protect the Mt. Halla which is Roe Deer's habitat. If we are indifferent about these efforts, the ecosystem of Roe Deer in Mt. Halla will be ruined.

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