• Title/Summary/Keyword: stability criterion

검색결과 501건 처리시간 0.026초

Comparative Study on the Rock Failure Criteria Taking Account of the Intermediate Principal Stress (중간주응력을 고려한 선형 및 비선형 암석파괴조건식의 비교 고찰)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • 제22권1호
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    • pp.12-21
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    • 2012
  • Although the Mohr-Coulomb and Hoek-Brown failure criteria have been adopted widely in rock mechanics, they neglect the ${\sigma}_2$ effect. The result of true triaxial tests on rock samples, however, reveals that the ${\sigma}_2$ effect on strength of rocks is considerable, so that rock failure criteria taking into account the influence of ${\sigma}_2$ are necessary for the precise stability evaluation of rock structures. In this study, a new nonlinear 3-D failure criterion has been suggested by combining the Hoek-Brown criterion with the smooth octahedral shape function taken from Jiang & Pietruszczak (1988). The performance of the new criterion was assessed by comparing the strength predictions from both the suggested criterion and the corresponding linear 3-D criterion. The resulting fit of the new criterion to the true triaxial test data for six rock types taken from the literature shows that the criterion fits the experimental data very well. Furthermore, for the data sets having data taken in the low ${\sigma}_3$ range, the nonlinear failure criterion works better than the linear criterion.

Delay-Dependent Criterion for Stability of Uncertain Neutral Systems (비선형 섭동을 갖는 뉴트럴 시스템의 시간종속 안정성 조건식)

  • Park, Ju-H.
    • Proceedings of the KIEE Conference
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2320-2322
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    • 2000
  • In this paper, the problem of the stability analysis for linear neutral delay-differential systems with nonlinear perturbations is investigated. Using Lyapunov second method, a new delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs), which can be easily solved by various convex optimization algorithms, is presented. A numerical example is given to illustrate the proposed method.

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Stability Criterion for Volterra Type Delay Difference Equations Including a Generalized Difference Operator

  • Gevgesoglu, Murat;Bolat, Yasar
    • Kyungpook Mathematical Journal
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    • 제60권1호
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    • pp.163-175
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    • 2020
  • The stability of a class of Volterra-type difference equations that include a generalized difference operator ∆a is investigated using Krasnoselskii's fixed point theorem and some results are obtained. In addition, some examples are given to illustrate our theoretical results.

ON STABILITY ANALYSIS OF NONLINEAR PLANTS WITH FUZZY LOGIC CONTROLLERS

  • K.H-Cho;Kim, C.W.;Lim, J.T.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.1094-1097
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    • 1993
  • In this paper, the absolute stability criterion of nonlinear plants with sector bounded nonlinear feedback is derived. The result obtained is useful for applications, in particular, stability analysis and design of fuzzy logic controllers.

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Estimating Stability of MTDC Systems with Different Control Strategy

  • Nguyen, Thai-Thanh;Son, Ho-Ik;Kim, Hak-Man
    • Journal of Electrical Engineering and Technology
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    • 제10권2호
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    • pp.443-451
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    • 2015
  • The stability of a multi-terminal direct current (MTDC) system is often influenced by its control strategy. To improve the stability of the MTDC system, the control strategy of the MTDC system must be appropriately adopted. This paper deals with estimating stability of a MTDC system based on the line-commutated converter based high voltage direct current (LCC HVDC) system with an inverter with constant extinction angle (CEA) control or a rectifier with constant ignition angle (CIA) control. In order to evaluate effects of two control strategies on stability, a MTDC system is tested on two conditions: initialization and changing DC power transfer. In order to compare the stability effects of the MTDC system according to each control strategy, a mathematical MTDC model is analyzed in frequency domain and time domain. In addition, Bode stability criterion and transient response are carried out to estimate its stability.

Vehicle Stability Analysis using a Non-linear Simplified Model (비선형 단순 모델을 이용한 차량 안정성 해석)

  • Ko, Young-Eun;Song, Chul-Ki
    • Transactions of the Korean Society of Automotive Engineers
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    • 제16권4호
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    • pp.29-37
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    • 2008
  • Vehicle stability is a very important subject in vehicle design and control, because vehicle safety is closely dependent upon its dynamic stability. For the vehicle stability analysis, the nonlinear vehicle model of a mid-size car with three DOF - longitudinal, lateral and yaw - is employed. A rigorous method is used to determine the vehicle stability region in plane motion. An algorithm is used to materialize a topology theorem, which enables to find the exact stability region. A stability criterion for the critical cornering is proposed.

On the Design Method of a Haptic Interface Controller with Virtual Coupling

  • Kim, Keehoon;W.K. Chung;Y. Youm
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.25.5-25
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    • 2001
  • A haptic interface can be a passive system with virtual coupling as a filter virtual coupling has been designed for satisfying passivity. However, it affects transparency of haptic interface as well as stability. This paper suggests new design criterion of a haptic interface controller by considering transparency. As a result, sampling time and the range of impedance or admittance should be considered as well as virtual coupling for desired performance of hapticdisplay. And experiments show that the suggested design criterion can be applied successfully for desired performance.

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Voltage Stability Analysis Based on Energy Function Considering Tap of Transformer (변압기 탭이 반영된 에너지 함수를 이용한 전압안정도 해석)

  • Lee Ki-Je;Choi Byoung-Kon;Kwon Yong-Jun;Moon Young-Hyun;Oh Yong-Taek;Lee Byunn-Ha
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • 제54권7호
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    • pp.337-344
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    • 2005
  • An energy function is derived on the basis of the EMM(Equivalent Mechanical Model) to take account of the effects of tap changer, and then the VC(Voltage Collapse) criteria is proposed to predict the voltage collapse in Power systems. The VC criterion can be evaluated by using the energy margin given by the energy gap between UEP(Unstable Equilibrium Point) and SEP(Stable Equilibrium Point) of the energy function adopted, in which it is noted that the energy contour should be considered due to energy discontinuity associated with tap changing. This paper shows that the proposed VC criterion improves the accuracy of voltage stability analysis with application to a two-bus sample system.

Reliability analysis of three-dimensional rock slope

  • Yang, X.L.;Liu, Z.A.
    • Geomechanics and Engineering
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    • 제15권6호
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    • pp.1183-1191
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    • 2018
  • Reliability analysis is generally regarded as the most appropriate method when uncertainties are taken into account in slope designs. With the help of limit analysis, probability evaluation for three-dimensional rock slope stability was conducted based upon the Mote Carlo method. The nonlinear Hoek-Brown failure criterion was employed to reflect the practical strength characteristics of rock mass. A form of stability factor is used to perform reliability analysis for rock slopes. Results show that the variation of strength uncertainties has significant influence on probability of failure for rock slopes, as well as strength constants. It is found that the relationship between probability of failure and mean safety factor is independent of the magnitudes of input parameters but relative to the variability of variables. Due to the phenomenon, curves displaying this relationship can provide guidance for designers to obtain factor of safety according to required failure probability.

Discrete-Time Controller Design using Identification of Feedback System in Frequency Domain (주파수역 피드백 시스템 인식을 이용한 이산시간 제어기 설계)

  • Jung, Yu-Chul;Shim, Young-Bok;Lee, Gun-Bok
    • Proceedings of the KSME Conference
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.99-104
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    • 2001
  • Discrete-time controller design is proposed using feedback system identification in frequency domain. System Stability imposed by a new controller is checked in the function of a conventional closed-loop system, instead of a poorly modeled plant due to non-linearity and disturbance as well as unstable components, etc. The stability of the system is evaluated in view of Popov criterion. All the equations are formulated in the framework of the discrete-time system. Simulation results are shown on the plant with input saturation components, DC disturbance and a pure integration.

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