• 제목/요약/키워드: stability condition

검색결과 3,247건 처리시간 0.03초

지질조건에 따른 도로사면 안정검토에 대한 사례연구 (A Case Study on Stability Evaluation of Road Slope based on Geological Condition)

  • 박철숙;김재홍
    • 지질공학
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    • 제17권4호
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    • pp.577-587
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    • 2007
  • 본 연구지역은 절취사면 연장이 약 450m에 달하며 사면 절취결과 암질의 측방변화가 현저한 지반조건을 나타냈다. 사면 안정대책의 수립을 위해 절취사면에서 구성암석, 지질구조, 불연속면의 방향성 등 지질공학적인 조사를 수행하였다. 절취사면의 방향성, 사면높이, 지반조건 등을 고려하여 6개의 Zone으로 구분하고, 안정성 분석은 불연속면의 방향성과 사면의 절취방향간의 기하학적 상관관계에 의한 안정성 분석이 가능한 DIPS 프로그램을 이용한 평사투영법으로 실시하였다. 사면안정성 분석결과를 바탕으로 시공성, 안정성, 경제성을 고려하여 비교적 큰 암괴의 이완시 도로 하단부에 미치는 영향을 최소화 할 수 있는 고강도 낙석 방지망(higth tensile steel wire net) 설치, 사면 보호공, 옹벽의 증고 등 다양한 공법으로 사면안정 대책을 수립, 시행하였다.

이산 시변 구간 시스템의 비구조화된 불확실성과 시변 지연시간 상태변수 불확실성의 안정범위 (Stability Bounds of Unstructured and Time-Varying Delayed State Uncertainties for Discrete Interval Time-Varying System)

  • 한형석
    • 한국항행학회논문지
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    • 제27권6호
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    • pp.871-876
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    • 2023
  • 본 논문에서는 시변 지연 시간이 있는 선형 이산 시변 구간 시스템에 두 가지의 불확실성이 동시에 존재하는 경우에 대하여 안정조건을 다룬다. 구간 시스템은 시스템 행렬들이 구간행렬의 형태로 주어지는 시스템으로 본 논문에서는 이러한 구간 시스템 행렬과 상태변수의 지연 시간이 시변인 특성을 갖는 시스템을 대상으로 한다. 비선형성을 포함하며 그 크기만을 알 수 있는 비구조화된 불확실성과 지연상태변수의 시스템 행렬 불확실성이 동시에 존재하는 경우의 시스템 안정조건을 제안한다. 두가지 종류의 불확실성에 대하여 안정 유지 가능한 크기를 해석적인 수식으로 유도한다. 제안된 안정조건과 안정 보장 크기는 기존의 다양한 선형 이산 시스템에 대한 안정 조건들을 포함할 수 있으며, 시변 지연시간 변동 크기, 불확실성의 크기들과 구간행렬의 범위 등의 값을 모두 조건식에 포함하게 된다. 새로운 안정범위는 수치예제를 통하여 이전의 결과와 비교하며 효용성과 우수성을 검증한다.

Stability of Explicit Symplectic Partitioned Runge-Kutta Methods

  • Koto, Toshiyuki;Song, Eunjee
    • Journal of information and communication convergence engineering
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    • 제12권1호
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    • pp.39-45
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    • 2014
  • A numerical method for solving Hamiltonian equations is said to be symplectic if it preserves the symplectic structure associated with the equations. Various symplectic methods are widely used in many fields of science and technology. A symplectic method preserves an approximate Hamiltonian perturbed from the original Hamiltonian. It theoretically supports the effectiveness of symplectic methods for long-term integration. Although it is also related to long-term integration, numerical stability of symplectic methods have received little attention. In this paper, we consider explicit symplectic methods defined for Hamiltonian equations with Hamiltonians of the special form, and study their numerical stability using the harmonic oscillator as a test equation. We propose a new stability criterion and clarify the stability of some existing methods that are visually based on the criterion. We also derive a new method that is better than the existing methods with respect to a Courant-Friedrichs-Lewy condition for hyperbolic equations; this new method is tested through a numerical experiment with a nonlinear wave equation.

패러미터와 잡음전력이 불확실한 시스템에 대한 LQG 제어기 설계 (LQG design under plant perturbation and uncertain noise covariance)

  • 오원근;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.203-207
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    • 1991
  • In this paper, a linear stocastic dynamic system with norm - bounded plant perpurbations and norm - bounded noise covariarice is studied. Instead of Bellman-Gronwall inequality used in previous study, Lyapunov stability theorem is used to derive stability condition. The new condition is of more compact form than the previous result.

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콘크리트의 안정-불안정 거동에 관한 연구 (A Study on Stable-Unstable Behavior in Concrete)

  • 송하원;전재홍;변근주
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1996년도 가을 학술발표회 논문집
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    • pp.459-465
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    • 1996
  • This paper is about unstable behavior in concrete during the localized deformation and the crack growths in concrete. By modeling the strain localization phenomenon of concrete, the stability condition of the localization is obtained and analyzed. And the stability and bifurcation condition of crack growths in two parallel cracks under different loading conditions are derived and discussed.

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A CONDITION OF UNIQUENESS AND STABILITY IN A BURSTING MODEL

  • Lee, Eui-Woo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제9권1호
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    • pp.19-30
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    • 2002
  • We consider one class of bursting oscillation models, that is square-wave burster. One of the interesting features of these models is that periodic bursting solution need not to be unique or stable for arbitrarily small values of a singular perturbation parameter $\epsilon$. Recent results show that the bursting solution is uniquely determined and stable for most of the ranges of the small parameter $\epsilon$. In this paper, we present a condition of uniqueness and stability of periodic bursting solutions for all sufficiently small values of $\epsilon$ > 0.

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GLOBAL STABILITY ANALYSIS FOR A CLASS OF COHEN-GROSSBERG NEURAL NETWORK MODELS

  • Guo, Yingxin
    • 대한수학회보
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    • 제49권6호
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    • pp.1193-1198
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    • 2012
  • By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the global asymptotic stability of the Cohen-Grossberg neural network models. The condition contains and improves some of the previous results in the earlier references.

비모형화 특성을 갖는 시스템의 견고성 적응제어 (Robust Adaptive Control for the System with Unmodelled Dynamics)

  • 김성덕;양해원
    • 대한전기학회논문지
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    • 제36권9호
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    • pp.670-677
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    • 1987
  • The robustness and stability properties for a model reference adaptive control system with plant uncertainty are considered in this paper, using input-output stability theory. An error model for a typical adaptive control structure is extended to unmodelled dynamics in the plant model and then, the strictly positive real condition for global stability is examined. In general, since this condition can be easily violated due to unmodelled dynamics, a modified compensator which can be guaranteed Hev e SPR is introduced in the plant model and the effectiveness for the given structure is also given.

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선회유동을 이용한 펠릿연소기의 화염안정화 연구 (A Study on The Flame Stability of Pellet Combustor Using Swirling Flow)

  • 이도형;윤봉석;왕진위
    • 동력기계공학회지
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    • 제18권5호
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    • pp.35-41
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    • 2014
  • The wood pellet, which is one of the woody biomass energy, has very high economic efficiency and combustion efficiency during their combustion. The existing pellet burner have many problems such as low combustion efficiency, flame stabilization, ash problem and ignition time etc. We developed cyclonic wood pellet burner aim to 20,000kcal/hr boiler and measured temperature profiles and exhaust gases in order to investigate the flame stability and optimum combustion condition at any air flow conditions. As results, we confirmed the reappearance and the isotropy of the experimental results in the burner. At the first air flow inlet condition of excess air ratio ${\alpha}=0.02$, second air flow $490{\ell}/min$ had the best combustion condition when pellet supplied 30g. This result means that we need much air supply only for the swirling of second air flow. So we tested various second air flux at first air excess air ratio ${\alpha}=0.7$ condition. At this condition, we could find out that we don't need much second air and total air flux compared to the former condition. We will continuously test this work of air flow distribution, and swirl effect of first air flow, and ash elimination.

Local Dynamic Stability Associated with Load Carrying

  • Liu, Jian;Lockhart, Thurmon E.
    • Safety and Health at Work
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    • 제4권1호
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    • pp.46-51
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    • 2013
  • Objectives: Load carrying tasks are recognized as one of the primary occupational factors leading to slip and fall injuries. Nevertheless, the mechanisms associated with load carrying and walking stability remain illusive. The objective of the current study was to apply local dynamic stability measure in walking while carrying a load, and to investigate the possible adaptive gait stability changes. Methods: Current study involved 25 young adults in a biomechanics research laboratory. One tri-axial accelerometer was used to measure three-dimensional low back acceleration during continuous treadmill walking. Local dynamic stability was quantified by the maximum Lyapunov exponent (maxLE) from a nonlinear dynamics approach. Results: Long term maxLE was found to be significant higher under load condition than no-load condition in all three reference axes, indicating the declined local dynamic stability associated with load carrying. Conclusion: Current study confirmed the sensitivity of local dynamic stability measure in load carrying situation. It was concluded that load carrying tasks were associated with declined local dynamic stability, which may result in increased risk of fall accident. This finding has implications in preventing fall accidents associated with occupational load carrying.