• Title/Summary/Keyword: Stability criterion

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Infinite slope stability analysis using Nonlinear shear strength (비선형 전단강도를 이용한 무한사면안정해석)

  • 정진섭;이광범;양재혁
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 1999.10c
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    • pp.556-561
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    • 1999
  • The real strength evvelope for soils without cemetation goes through the origin and is curved. The Mohr -Coulomb failure criterion with the strength parameters c' and ø' from conventional tests overestimates the shear strength available at low normal stresses. The results of laboratory tests interpreted in terms of the Mohr-Coulomb failure criterion are not appropriate for evaluation of surficial slope stability , because the range of effective normal stresses in the field are not used in the laboratory tests.

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Stability analysis of slopes under groundwater seepage and application of charts for optimization of drainage design

  • Deng, Dong-ping;Lia, Liang;Zhao, Lian-heng
    • Geomechanics and Engineering
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    • v.17 no.2
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    • pp.181-194
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    • 2019
  • Due to the seepage of groundwater, the resisting force of slopes decreases and the sliding force increases, resulting in significantly reduced slope stability. The instability of most natural slopes is closely related to the influence of groundwater. Therefore, it is important to study slope stability under groundwater seepage conditions. Thus, using a simplified seepage model of groundwater combined with the analysis of stresses on the slip surface, the limit equilibrium (LE) analytical solutions for two- and three-dimensional slope stability under groundwater seepage are deduced in this work. Meanwhile, the general nonlinear Mohr-Coulomb (M-C) strength criterion is adopted to describe the shear failure of a slope. By comparing the results with the traditional LE methods on slope examples, the feasibility of the proposed method is verified. In contrast to traditional LE methods, the proposed method is more suitable for analyzing slope stability under complex conditions. In addition, to facilitate the optimization of drainage design in the slope, stability charts are drawn for slopes with different groundwater tables. Furthermore, the study concluded that: (1) when the hydraulic gradient of groundwater is small, the effect on slope stability is also small for a change in the groundwater table; and (2) compared with a slope without a groundwater table, a slope with a groundwater table has a larger failure range under groundwater seepage.

The Numerical Analysis of Pillar Stability with Multiple, Irregular Openings (다수의 불규칙 공동을 갖는 광주의 안정성에 관한 수치해석)

  • Min, Hyung-Ki;Lim, Han-Uk
    • Journal of Industrial Technology
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    • v.24 no.A
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    • pp.139-155
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    • 2004
  • A room and pillar mining method has been adopting at the Jeungsun limestone mine. To check stability of pillar with multiple and irregular openings, the size, shape and spacing of rib pillar were first designed using some empirical suggestions. The Finite Difference Method(FDM)was used to analyze the pillar stability. Twelve different cases with the variation of K(horizontal/vertical stress)values, different height and different spacing of pillar were used in this study. Finally Mohr-Coulomb criterion was adopted to calculate the safety factors. Horizontal and vertical displacement, maximum and minimum principal stresses, range of plastic zone and safety factors were calculated at each case. As a result of analysis, the size of one block is 160m long, 70m wide, 40m high with 20m wide rib pillar and 20m square column pillar. The overall recovery at this case can be estimated about 40%.

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Stability analysis of fuzzy logic controller using the concept of sector bound nonlinearity (제한된 부채꼴에서의 비선형 개념을 이용한 퍼지 논리제어기의 안정성 해석)

  • 김인익;박상배;이균경
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.573-578
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    • 1991
  • A stability analysis technique has been proposed for linear SISO system associated with fuzzy logic controller. An analysis technique using the concept of well-known sector bound nonlinearity and its graphical interpretation, i.e., the circle criterion, is presented. Thus the use of classical Nyquist locus and the BODE diagram is brought into the picture. The aim of this present note is to represent a graphical approach based on sector bound nonlinearity and circle criterion for assessing the performance(degree of stability) of the linear SISO system associated with fuzzy logic controller. The degree of stability of the system is defined in terms of its gain and phase margins as defined in Section 3.

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Stability Analysis of a Haptic System with a First-Order-Hold Method (일차 홀드 방식의 반력 구현 시스템에 대한 안정성 해석)

  • Lee, Kyungno
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.4
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    • pp.389-394
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    • 2014
  • This paper presents the effect of a reflective force computed from a first-order-hold method on the stability of a haptic system. A haptic system is composed of a haptic device with a mass and a damper, a virtual spring, a sampler and a sample-and-hold. The boundary condition of the maximum virtual stiffness is analytically derived by using the Routh-Hurwitz criterion and the condition shows that the maximum virtual stiffness is proportional to the square root of the mass and the damper of a haptic device and also is inversely proportional to the sampling time to the power of three over two. The effectiveness of the derived condition is evaluated by the simulation. When the reflective forces are computed by using the first-order-hold method, the maximum available stiffness to guarantee the stability is increased several hundred times as large as when the zero-order-hold method is applied.

Aviation stability analysis with coupled system criterion of theoretical solutions

  • C.C. Hung;T. Nguyen
    • Coupled systems mechanics
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    • v.12 no.3
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    • pp.221-239
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    • 2023
  • In our research, we have proposed a solid solution for aviation analysis which can ensure the asymptotic stability of coupled nonlinear plants, according to the theoretical solutions and demonstrated method. Because this solution employed the scheme of specific novel theorem of control, the controllers are artificially combined by the parallel distribution computation to have a feasible solution given the random coupled systems with aviation stability analysis. Therefore, we empathize and manually derive the results which shows the utilized lemma and criterion are believed effective and efficient for aircraft structural analysis of composite and nonlinear scenarios. To be fair, the experiment by numerical computation and calculations were explained the perfectness of the methodology we provided in the research.

Comparison of Routh-Hurwitz and Absolute Stability Criteria in Application to Scaled Telerobotics Systems (스케일 텔레 로보틱스 시스템에 적용된 Routh-Hurwitz와 절대 안정도 기준의 비교)

  • Gaponov, Igor;Cho, Hyun Chan;Jeon, Hong-Tae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.11
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    • pp.171-179
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    • 2013
  • This paper presents a comparative study on application of Routh-Hurwitz and Llewellyn absolute stability criteria to a scaled telerobotic system. The dynamic equations of the telerobotic system are given, and the transfer function of the system is obtained for further stability analysis. The stable margins of controller gains are obtained using both stability analysis methods, and the differences in the results are described and explained. The paper is concluded by a numerical example verifying performed stability analysis.

Aerodynamic behaviour of an inclined circular cylinder

  • Cheng, Shaohong;Larose, Guy L.;Savage, Mike G.;Tanaka, Hiroshi
    • Wind and Structures
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    • v.6 no.3
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    • pp.197-208
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    • 2003
  • Galloping instability of dry inclined cables of cable-stayed bridges has been reported by Japanese researchers. A suggested stability criterion based on some experimental studies in Japan implies that many of stay cables would be expected to suffer galloping instability, which, if valid, would cause serious difficulty in the design of cable-stayed bridges. However, this is not the case in reality. Thus, it is practically urgent and necessary to confirm the validity of this criterion and possible restriction of it. In the present study, a 2D sectional cable model was tested in the wind tunnel, and effects of various physical parameters were investigated. It is found that the stability criterion suggested by Japanese researchers is more conservative than the results obtained from the current study.

PI controller design by stability criterion and Genetic algorithm (안정도 판별법과 유전자 알고리즘에 의한 PI 제어기 설계)

  • Cho, Joon-Ho;Choi, Jung-Nae;Lee, Won-Hyok;Hwang, Hyung-Soo;Park, Min-Jung
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2230-2232
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    • 2003
  • One of the important problems in a control system design is the requirement that the system should have adequate relative stability. In this paper, We proposed a tuning algorithm PI controller for first order plus dead time system. It is determined the domain of the PI control parameters by Routh - Hurwitz criterion, and we tune parameters of the PI controller using genetic algorithm. A numerical example is also given to illustrate the method.

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Nonquadratic Stability Condition of Continuous Fuzzy Systems

  • Kim, Eun-Tai;Park, Min-Kee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.5
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    • pp.596-599
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    • 2003
  • In this paper, a new asymptotic stability condition of continuous fuzzy system is proposed. The new stability condition considers the nonquadratic stability by using the P-matrix measure. Later the relationship of the suggested stability condition and the well-known stability condition is discussed and it is shown in a rigorous manner that the proposed criterion includes the conventional conditions.