• Title/Summary/Keyword: 선형 안정한계

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Performance Experiments and Analysis of Nonlinear Behavior for HDRB using in Seismic Isolation (면진용 고감쇠 적층고무베어링의 성능 특성 실험 및 비선형 거동해석)

  • Koo, Gyeong-Hoi;Lee, Jae-Han;Yoo, Bong
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.4
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    • pp.73-86
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    • 1998
  • The purpose of this paper is to evaluate the shear stiffness, hysteretic behavior, and ultimate behavior of HDRB(High Damping Rubber Bearing), which will be included in the seismic isolation design guideline as requirements. To do this, two 1/8 scaled HDRB are designed, fabricated, and tested to show the mechanical characteristics. The shear stiffness obtained from the proposed equation of the shear stiffness shows a good agreement with those of the experiments. For analysis of the hysteretic behavior of HDRB using the modified rate model, the parameter equations are obtained from the experiments. Using the obtained parameter equations for the modified rate model, the seismic response analyses are carried out for 1-D system. The results of analysis well follow the hysteretic behavior of HDRB obtained from the experiments. To evaluate the ultimate behavior of HDRB used in this paper, the analyses are carried out using the modified macro model, which can consider the large shear deflection. The critical shear strain(CSS) is defined to express the maximum allowable shear strain and vertical load. From the analyses, the CSS, showing the instability, decreases significantly as increased the vertical loads. The CSS is not appeared for the design vertical load in the used HDRB. In analysis using about 5 times of design vertical load, the HDRB start to show the instability transient and for about 7 times, the CSS is about 350%.

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Robust control design applicable to general flexible joint manipulators (일반적인 유연조인트 로봇에 부합되는 견실제어설계)

  • Kim, Dong-Hwan;Chen, Ye-Hwa
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.1
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    • pp.10-18
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    • 1998
  • 불확실한 변수와 비선형성을 가지는 유연조인트 로봇의 견실제어 방안을 제시한다. 그리고 본 시스템에서 불확실구조는 일치성을 유지하지 않는 불일치성 불확실 시스템이다. 제어기는 리아노프의 방안에 근거를 두고있다. 견실제어는 연산토크법을 사용하고 삽입제어기법을 통하여 좌표변환을 통해 구성된다. 제어기 설계과정은 우선 연산토크방법에 의해 시스템 동역학에서 정격부분을 선형으로 2개의 부분시스템으로 구성한다. 이후 좌표변환을 이용하여 각 부분시스템에 제어기를 구축한다. 이 방안을 통하여 관성 행렬이 알려진 값인 경우 이 행렬의 상위한계 조건없이 제어기를 설계할 수 있다. 따라서 임의의 형태의 로봇에도 적용 가능한 제어알고리즘이 된다. 설계된 견실제어는 변환된 시스템이나 원시스템 모두 실용적 안정성을 보장한다. 이 변환은 단지 불확실변수의 최대 한계값의 정보만을 요구한다.

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Numerical Analysis of Nonlinear Longitudinal Combustion Instability in LRE Using Pressure-Sensitive Time-Lag Hypothesis (시간지연 모델을 이용한 액체로켓엔진의 축방향 비선형 연소불안정 해석)

  • Kim Seong-Ku;Choi Hwan Seok;Park Tae Seon;Kim Yong-Mo
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • v.y2005m4
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    • pp.281-287
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    • 2005
  • Nonlinear behaviors such as steep-fronted wave motions and a finite amplitude limit cycle often accompanying combustion instabilities have been numerically investigated using a characteristic-based approximate Riemann solver and the well-known ${\eta}-{\tau}$ model. A resonant pipe initially subjected to a harmonic pressure disturbance described the natural steepening process that leads to a shocked N-wave. For a linearly unstable regime, 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. For the 1.5 MW gas generator under development in KARI, the numerical results show good agreement with experimental data from hot-firing tests.

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Application of Porous Medium Theory in Slope Stability Analysis (다공체 이론을 사용한 사면안정해석)

  • 서영교
    • Journal of the Korean Geotechnical Society
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    • v.17 no.2
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    • pp.135-142
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    • 2001
  • 사면안정해석을 위해 다공체(porous medium) 이론이 제시되었다. 다공체 이론은 간극수압, 토질입자 및 간극수의 상호작용을 포함하는 여러 가지 지반관련 문제의 이해에 있어 매우 중요하다. 이러한 상호작용은 토질강도 및 변형에 중요한 영향을 미친다. 압밀 예제로서 이러한 모델의 정확도를 첫째로 검증하였다. 사면안정해석에 있어서 토질의 응력 및 강도는 일반적인 구성모델을 포함한 비선형 유한요소해석을 사용하여 정확히 계산되었다. 사면안정해석은 한계상태를 표시하는 파괴면이 나타날 때까지 점차적인 중력의 증가로 실행되었다. 안전율은 증가시킨 중력과 실제사면 중력의 비로서 계산되었다. 제시된 사면 안정 해석 방법의 자세한 사항은 예제를 통하여 설명되었다.

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A Study on The Behavior of Very Large Floating Structure Using Pneumatic Stabilized Platform (공기안정식 초대형부유구조물의 거동에 관한 연구)

  • Hong, Sang-Hyun;Kwon, Dong-Ho;Lee, Seung-Jun;Lee, Jong-Seh
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.133-136
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    • 2010
  • 공간부족과 해안 매립으로 발생되는 문제점을 해결하기 위하여 초대형부유구조물이 각광 받고 있으며, 대표적인 구조형식으로는 폰톤식과 반잠수식이 있다. 하지만 다양한 환경에 적용하기에는 구조적으로 한계를 가지고 있으며, 이를 극복하기 위해 부유체 하부에 수직으로 결합된 실린더에 공기를 가두어 지지되는 공기안정식 플랫폼이 제안되어졌으나 아직 개념단계에 머무르고 있는 실정이다. 이에 본 연구에서는 공기 안정식 초대형부유구조물의 실린더 내부 공기상태에 따른 안정성을 검토하기 위하여 유체정역학적 관계를 통해 실린더 내부의 공기 복원력 변수를 산정하였으며, 선형파랑하중에 따른 구조물의 응답을 최소화 할 수 있는 변수의 범위를 제시하였다.

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Stability Condition for Discrete Interval Time-varying System with Time-varying Delay Time (시변 지연시간을 갖는 이산 구간 시변 시스템의 안정조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.20 no.5
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    • pp.475-481
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    • 2016
  • In this paper, the new stability condition of linear discrete interval time-varying systems with time-varying delay time is proposed. The considered system has interval time-varying system matrices for both non-delayed and delayed states with time-varying delay time within given interval values. The proposed condition is derived by using Lyapunov stability theory and expressed by very simple inequality. The restricted stability issue on the interval time-invariant system is expanded to interval time-varying system and a powerful stability condition which is more comprehensive than the previous is proposed. As a results, it is possible to avoid the introduction of complex linear matrix inequality (LMI) or upper solution bound of Lyapunov equation in the derivation of sufficient condition. Also, it is shown that the proposed result can include the many existing stability conditions in the previous literatures. A numerical example in the pe revious works is modified to more general interval system and shows the expandability and effectiveness of the new stability condition.

Security Interpretation of the Restriction Boundary of Building for Antiquated Tunnel using 3 Dimensional Surveying (3차원 측량에 의한 노후 터널의 건축한계 확보 해석)

  • Bae Sang-Ho;Lee Hyung-Seok
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.3
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    • pp.251-259
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    • 2006
  • For the electrification of the existing railways, the security of the restriction boundary of building with mechanistic stability research on the antiquated tunnel must be accomplished essentially. If the tunnel don't secure its restriction boundary of building, the reconstruction based on improvement of tunnel alignment are generated and its surveying data are required. The precise surveying was conducted with the same coordinate system for three tunnels of Youngdong tramline, and the restriction boundary of building of the straight and curve section were analyzed effectively by acquiring the data of profile and cross section, profile rail-height, rail-grade, cross tunnel height, and restriction boundary of building. This study is presented for valuation data of the stability of the electrification design to construct and analyze restriction boundary of building, which compared with the drawing and its existing design using profile and cross section. After this, it is interoperable to increase the development of real-time monitoring system on the tunnel structures.

Robust $H_{\infty}$ filtering for discrete-time polytopic uncertain systems (이산시간 폴리토프형 불확실성 시스템의 견실 $H_{\infty}$ 필터링)

  • Kim, Jong-Hae;Oh, Do-Chang;Lee, Kap-Rai
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.5
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    • pp.26-33
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    • 2002
  • The design method of robust $H_{\infty}$ filtering for discrete-time uncertain linear systems is investigated in this paper. The uncertain parameters are assumed to be unknown but belonging to known convex compact set of polytope type. The objective is to design a stable robust $H_{\infty}$ filter guaranteeing the asymptotic stability of filtering error dynamics and present an $L_2$ induced norm bound analytically for the modified $H_{\infty}$ performance measure. The sufficient condition for the existence of robust $H_{\infty}$ filter and the filter design method are established by LMI(linear matrix inequality) approach, which can be solved efficiently by convex optimization. The proposed algorithm is checked through an example.

Absolutely Stable Region for Missile Guidance Loop (유도탄 유도루프의 절대안정한 시간영역)

  • Kim, Jong-Ju;Lyou, Joon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.3
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    • pp.244-249
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    • 2008
  • In this paper, the stable region for missile guidance loop employing an integrated proportional navigation guidance law is derived. The missile guidance loop is formulated as a closed-loop control system consisting of a linear time-invariant feed-forward block and a time-varying feedback gain. By applying the circle criterion to the system, a bound for the time of flight up to which stability can be assured is established as functions of flight time. Less conservative results, as compared to the result by Popov criterion, are obtained.

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

  • 정재일;김종원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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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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