• Title/Summary/Keyword: 선형안정한계

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Development of One Dimensional Finite Volume Model Using Riemann Approximate Solver (Riemann 해법을 이용한 1차원 유한체적모형 개발)

  • Kim, Ji-Sung;Han, Kun-Yeun;Ahn, Ki-Hong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.428-432
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    • 2007
  • 댐 제방 등의 붕괴로 인하여 발생하는 급격한 유량의 변화와 흐름영역의 변화로 인한 천이류 및 도수의 발생, 불규칙한 하천단면에서 갈수기 저수기의 흐름해석은 기존의 수치해법의 한계로 인하여 수리모형실험 및 경험식 또는 단면의 단순화 등에 의존하고 있는 실정이다. 본 연구에서는 자연하천에서 비선형 흐름율 계산에 불연속초기조건의 해석해인 Riemann 근사해법을 사용하여 수치적으로 안정되고 정확한 1차원 모형을 개발하고자 한다. 이를 위하여 유한체적법을 사용하였고, 수위와 유량의 계산을 위하여 요구되는 유한체적을 유출입하는 흐름율의 계산에 HLL Riemann 해법을 사용하였으며, MUSCL 기법으로 2차 정확도기법으로 확장하였다. Riemann 해법을 통하여 계산된 비선형의 흐름율과 보존 특성을 만족시켜줄 수 있는 하상 및 하폭변화로 인한 생성항을 처리하는 기법을 제안함으로서 새로운 1차원 수치해석모형을 개발하였다. 개발된 모형의 실제하천의 적용성을 확인하기 위하여 하상과 하폭이 변화하는 부정류 흐름에 적용하여 모형의 적용성 및 정확성을 검증하였다.

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Identification of Linear and Nonlinear Dynamic Stability Characteristics of a Medium-size High-speed Turbocharger Rotor Supported by 3-lobe Bearings (3-로브 베어링으로 지지된 중형 고속 터보차저 로터의 선형 및 비선형 동적 안정성 특성 규명)

  • Lee, An-Sung;Kim, Byung-Ok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.6
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    • pp.562-569
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    • 2011
  • In this study linear and nonlinear dynamic stability characteristics of a medium-size high-speed turbocharger, whose rotor is supported by two 3-lobe journal bearings, are analyzed to evaluate and identify the effects of its bearing design variables. The rotor has the rated speed of 40,500 rpm and maximum continuous speed of 45,000 rpm. At first, utilizing the linear stability analysis method, bearing designs of yielding stable or unstable LogDecs as small as possible are searched by manipulating with machined bearing clearances and preloads. As next, utilizing the nonlinear analysis method, limit cycles of the rotor responses at the rated and maximum continuous speeds are simulated to check their acceptances. Results have shown that for the turbocharger rotor-bearing system considered, the 3-lobe journal bearing design with a smaller machined clearance and a larger preload are preferred for the stable rotor responses. More importantly, since there exists a good correlation between the linear and nonlinear stability analysis results, it is concluded that firstly the linear stability analysis method may be applied to screen quickly the ranges of bearing designs for stable or least unstable solutions and then, lastly the nonlinear stability analysis method may be deployed to check an absolute motion stability in terms of the limit cycle.

A Study on the Stability Analysis and Countermeasure of Tunnel Portal Failure Slope - in Suanbo Hot Springs 1 and 2 Tunnel Failure Site (터널 갱구부 붕괴 사면의 안정성 해석 및 보강공법에 관한 연구 - 수안보 온천 1, 2터널 붕괴 현장을 중심으로)

  • Baek, Yong;Koo, Ho-Bon;Yoo, Ki-Jeong
    • The Journal of Engineering Geology
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    • v.12 no.4
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    • pp.367-378
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    • 2002
  • Recently, the number of tunnels on national roads has been increased due to the trend that construction of the large-scaled cut slopes is limited because of the environmental issues. Therefore, the slope failures of tunnel portal have often occurred. The tunnel portal in use has limitations on selection of the countermeasure and construction against slope failure. In the cases of Suanbo hot springs 1 and 2 tunnel portals, seedding was chosen and constructed as the countermeasureof slope failure when the tunnel was first built but collapsed in April, 2002. In this study, the failure sites were examined accurately through the site investigation and an efficient countermeasure according to stability analysis is presented. It is shown that it is very efficient to use resloping for Suanbo hot springs 1 tunnel and concrete buttress, rock anchor to reinforcement countermeasure, and attached rockfall prevention net by dividing the site into 3 sections for Suanbo hot springs 2 tunnel.

Stability Analysis of Very Soft Soils Using Geotextiles: The Role of Model Test and Finite Element Analysis (토목섬유로 보강한 연약지반의 안정도 해석: 모형실험과 유한요소해석)

  • 고홍석;고남영
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.1
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    • pp.39-53
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    • 1994
  • To investigate the behaviour of the embankment on very soft foundation reinforced geotex- files,the laboratory model test in order to analyze the elementary effects of geotextile reinfor- cement and the finite element program analyzing the stresses and deformations characteristics was carried out. A two-dimensional nonlinear finite element program called GEOTEXT(a modification of ISBILD) for the static analysis of embankment on very soft foundation reinforced geotextiles has been developed. Both linear and nonlinear hyperbolic stress-strain soil models are inclu- ded, and incremental and stage construction can be simulated. However, the program GEO- TEXT is not developed herein as an adaptable design tool for practicing engineer. It was found that the geotextile reinforcement significantly reduced the shear stresses in the foundation and decreased the vertical differential settlements at the top of the embank- ment. This influence was more pronounced as the tensile strength of the geotextile was increased.

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Stability Bound for Time-Varying Uncertainty of Time-varying Discrete Interval System with Time-varying Delay Time (시변 지연시간을 갖는 이산 구간 시변 시스템의 시변 불확실성의 안정범위)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.21 no.6
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    • pp.608-613
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    • 2017
  • In this paper, we consider the stability bound for uncertainty of delayed state variables in the linear discrete interval time-varying systems with time-varying delay time. The considered system has an interval time-varying system matrix for non-delayed states and is perturbed by the unstructured time-varying uncertainty in delayed states with time-varying delay time within fixed interval. Compared to the previous results which are derived for time-invariant cases and can not be extended to time-varying cases, the new stability bound in this paper is applicable to time-varying systems in which every factors are considered as time-varying variables. The proposed result has no limitation in applicable systems and is very powerful in the aspects of feasibility compared to the previous. Furthermore. the new bound needs no complex numerical algorithms such as LMI(Linear Matrix Inequality) equation or upper solution bound of Lyapunov equation. By numerical examples, it is shown that the proposed bound is able to include the many existing results in the previous literatures and has better performances in the aspects of expandability and effectiveness.

A Stable Threshold Linear Current Pulse Discriminator (안정한계 선형전류펄스변별기)

  • 김병찬
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.5 no.2
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    • pp.8-14
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    • 1968
  • A linear current-pulse discriminator consisting: of a transistor monostable multivibrator and a Si tunnel diode is described. The input currant pulse range is about 50$\mu$A~5.23mA. The measured maximum linearity deviation is $\pm$0.75% in the input current pulse range mentioned above. The pulse resolving ability of the discriminator measured depends upon the bias current through the T, D. ; and, under the reverse bias current of 3mA, the resolving time is 2rs if allow the excess pulse amplitude of 5%. The threshold stability of the discriminator depends mainly upon the stability of the peak current Ip of the T. D. ; and, under the ambient temperature variation from $0^{\circ}C$ to 5$0^{\circ}C$, no bigger threshold variation than the maximum linearity deviation, i. e. $\pm$ 0.75%, was observed.

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Modeling and Control of Switched Mode Power Module (스위칭 모드 파워 모듈의 이산영역 모델링 및 제어)

  • Kwak, Jae-Hyuk;Lim, Joon-Hong
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2675-2677
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    • 2000
  • 본 논문에서는 광대역 입력전압에 대응 할 수 있는 직류 변환 장치(DC-DC Converter)의 제어기의 모델링 및 제어 방법에 대해서 제안한다. 일반적으로 직류 변환 장치의 주된 목적은 입력되는 직류 전압에 대해서 출력전압을 지속적이고 안정적으로 유지해 주는 것이다. 따라서, 안정적인 출력 전압을 얻는 방법으로서 제어되지 않은 직류 변환 장치에 입력전압을 안정적으로 공급해주는 방법도 고려해 볼 수 있으나, 이릴 경우 입력전류의 변화나 입력 전압이 지속적으로 변하는 경우에 대처 하기 어렵다. 따라서, 이러한 문제점들을 해결하기 위해서 출력전압을 궤환 시키고 이 신호에 의해 직류 변환 장치를 제어하는 방법을 고려한다. 또한, 단순한 제어기를 사용할 경우 그 입력전압의 범위가 소자의 한계와 안정성으로 인하여 국한적으로 한정되므로, 이러한 문제를 해결하기 위해 다수의 컨버터를 연결하고 이것을 프로세서를 사용하여 제어하는 방법을 설계한다. 모델링된 직류 변환 장치는 불연속선형 시스템(Piecewise Linear System)으로 해석되어 질 수 있으며, 아울러 각기 다른 입력 범위에서 동작하는 컨버터들에 대해서도 모델링되어야 한다. 또한 일정 간격의 입력 범위내에서 서로 다른 컨버터들을 동작시켜 줄 수 있는 방법도 고려한다. MATLab을 이용하여 파워 컨버터의 성능을 입증하고, 아울러 실제 회로의 실험을 통하여 결과를 검증한다.

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A Study on the Comparison of the Rolling and Resistance Performance for the Stepped-Hull with attached a Stern-body by using Sea Model-Test (실 해상모형시험을 이용한 선미 보조동체 장착 Stepped hull 선형의 횡동요 및 저항특성 비교 연구)

  • Jo, Hyo-Jae;Sohn, Kyoung-Ho;Park, Chung-Hwan
    • Journal of Navigation and Port Research
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    • v.31 no.10
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    • pp.813-818
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    • 2007
  • There are the C.W.C and Towing Tank to the model-test equipments of the boat. A model testing of the high speed boat have a difficult in the performance verification because of very a small the scale-ratio of the ship-model and restricted by flow-velocity of the C.W.C and X-carriage velocity of the T.T. In general, the stepped hull boat is a high of fuel-efficiency because of the resistance reduction by a small wetted surface-area in correspond without stepped-hull boat. But It have a tendency to be bad the rolling performance by reduced stern wetted-area In this paper, the high speed stepped planning-boats with & without attached a stern body were performed to compare the effect of resistance and rolling performance by using sea model-test method.

Numerical Analysis of Nonlinear Combustion Instability Using Pressure-Sensitive Time Lag Hypothesis (시간지연 모델을 이용한 비선형 연소불안정 해석기법 연구)

  • Park Tae-Seon;Kim Seong-Ku
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.30 no.7 s.250
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    • pp.671-681
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    • 2006
  • This study focuses on the development of numerical procedure to analyze the nonlinear combustion instabilities in liquid rocket engine. Nonlinear behaviors of acoustic instabilities are characterized by the existence of limit cycle in linearly unstable engines and nonlinear or triggering instability in linearly stable engines. To discretize convective fluxes with high accuracy and robustness, approximated Riemann solver based on characteristics and Euler-characteristic boundary conditions are employed. The present procedure predicts well the transition processes from initial harmonic pressure disturbance to N-like steep-fronted shock wave in a resonant pipe. Longitudinal pressure oscillations within the SSME(Space Shuttle Main Engine) engine have been analyzed using the pressure-sensitive time lag model to account for unsteady combustion response. It is observed that the pressure oscillations reach a limit cycle which is independent of the characteristics of the initial disturbances and depends only on combustion parameters and operating conditions.

Fuzzy H2/H Controller Design for Delayed Nonlinear Systems with Saturating Input (포화입력을 가지는 시간지연 비선형 시스템의 퍼지 H2/H 제어기 설계)

  • Cho, Hee-Soo;Lee, Kap-Rai;Park, Hong-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.3
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    • pp.239-245
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    • 2002
  • In this Paper, we present a method for designing fuzzy $H_2/H_{\infty}$ controllers of delayed nonlinear systems with saturating input. Takagi-Sugeno fuzzy model is employed to represent delayed nonlinear systems with saturating input. The fuzzy control systems utilize the concept of the so-called parallel distributed compensation(PDC). Using a single quadratic Lyapunov function, the globally exponential stability and $H_2/H_{\infty}$ performance problem are discussed. And a sufficient condition for the existence of fuzzy $H_2/H_{\infty}$ controllers is given in terms of linear matrix inequalities(LMIs). The designing fuzzy $H_2/H_{\infty}$ controllers minimize an upper bound on a linear quadratic performance measure. Finally, a design example of fuzzy $H_2/H_{\infty}$ controller for uncertain delayed nonlinear systems with saturating input.