• 터널과지하공간
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• 제15권5호
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• pp.369-377
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• 2005

지하공동의 안정성은 생산성과 안전을 확보해야 하는 광산의 운영에 있어서 가장 중요한 관심사이다. 암반분류는 많은 경험적인 설계방법의 근간을 이룰 뿐만 아니라 수치해석을 위한 기초자료로 이용되고 있다. 공동의 안정성에 영향을 주는 많은 요소들 중 주어진 암반의 조건 중에서 공동폭은 하나의 중요한 설계요소가 된다. 이 논문에서는 Lug에 의해 제안된 한계 공동폭 기준, Mathews stability graph method 그리고 저자들에 의해 제안된 한계 공동폭 기준을 비교하였다. Methews stability graph method를 이용하여 저자들에 의해 수정된 한계 공동폭 기준을 제안하였고 이것을 여러 석회석 광산 지하공동의 안정성을 평가하는 데 사용하였다.

• Journal of Advanced Marine Engineering and Technology
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• 제39권2호
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• pp.159-165
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• 2015

Motion control schemes are generally classified into three categories (point stabilization, trajectory tracking, and path following). This paper deals with the problem which is associated with the initial deployment of a group of Unmanned Surface Vehicle (USVs) and corresponding point stabilization. To keep the formation of a group of USVs, it is necessary to set the relationship between each vehicle. A forcing functions such as potential fields are designed to keep the formation and a graph Laplacian is used to represent the connectivity between vehicle. In case of fixed topology of the graph representing the communication between the vehicles, the graph Laplacian is assumed constant. However the graph topologies are allowed to change as the vehicles move, and the system dynamics become discontinuous in nature because the graph Laplacian changes as time passes. To check the stability in the stage of deployment, the system is modeled with Kronecker algebra notation. Filippov's calculus of differential equations with discontinuous right hand sides is then used to formally characterize the behavior of USVs. The stability of the system is analyzed with Lyapunov's stability theory and LaSalle's invariance principle, and the validity is shown by checking the variation of state norm.

• Steel and Composite Structures
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• 제23권6호
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• pp.683-690
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• 2017

In the stability and sensitivity design and diagnosis approaches, there are various methodologies available. Bond graph modeling by lumping technique is one of the universal methodologies in methodical analysis used by many researchers in all over the world. The accuracy of the method is validated in different arenas. Bond graphs are a concise, pictorial representation of the energy storage, dissipation and exchange mechanisms of interacting dynamic systems, subsystems and components. This paper proposes a bond graph modeling for distributed parameter systems using lumping techniques. Therefore, a steel frame structure was modeled to analyze employing bond graph modeling of distributed system using lumping technique. In the analytical part, the effectiveness of bond graphs to model this system is demonstrated. The dynamic responses of the system were computed and compared with those computed from the finite element analysis. The calculated maximum deflection time histories were found to be comparable. The sensitivity and the stability of the steel frame structure was also studied in different aspects. Thus, the proposed methodology, with its simplicity, can be used for stability and sensitivity analyses as alternative to finite element method for steel structures. The major value brought in the practical design is the simplicity of the proposed method for steel structures.

• 터널과지하공간
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• 제18권4호
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• pp.243-251
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• 2008

최근 환경문제 및 법적규제의 강화로 광산의 개발이 노천채광에서 갱내채광으로 전환됨에 따라 지하채굴 공동의 안정성이 광산의 운영 및 생산성 부분에서 최대 관심사로 대두되고 있다. 따라서 본 연구에서는 갱내채광 설계와 안정성 평가의 입력 자료로 활용하기 위해 지질조사, 불연속면 조사, 실내 암석실험, 암반분류를 수행하였으며, 암반분류 결과를 이용하여 무지보로 안정을 유지할 수 있는 채굴 공동과 광주의 규격을 결정하였다. 또한, 경험적 방법(stability graph, 한계 공동폭 곡선)과 3차원 수치해석을 통하여 지하채굴 공동의 안정성을 평가하였다.

• 대한수학회지
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• 제60권2호
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• pp.255-271
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• 2023

In this paper, we deal with random attractors for dynamical systems forced by a deterministic noise. These kind of systems are modeled as skew products where the dynamics of the forcing process are described by the base transformation. Here, we consider skew products over the Bernoulli shift with the unit interval fiber. We study the geometric structure of maximal attractors, the orbit stability and stability of mixing of these skew products under random perturbations of the fiber maps. We show that there exists an open set U in the space of such skew products so that any skew product belonging to this set admits an attractor which is either a continuous invariant graph or a bony graph attractor. These skew products have negative fiber Lyapunov exponents and their fiber maps are non-uniformly contracting, hence the non-uniform contraction rates are measured by Lyapnnov exponents. Furthermore, each skew product of U admits an invariant ergodic measure whose support is contained in that attractor. Additionally, we show that the invariant measure for the perturbed system is continuous in the Hutchinson metric.

• 한국지반신소재학회논문집
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• 제14권4호
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• pp.1-9
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• 2015

하천제방 건전도 평가는 하천설계기준 해설(KWRA, 2009) 및 구조물기초 설계기준과 그 해설서(MLTM, 2014와 KGS, 2009) 등 관련 기준 및 기준 해설서에 따라 수위조건 별 기초지반 및 제체를 통한 파이핑 안전성과 제내지 및 제외지 비탈면의 활동안전성 평가를 통해 수행된다. 이때 수위파형은 하천제방 건전도 평가 시 가장 중요한 수위조건 입력자료이나, 국가기준에서 합리적인 결정방법을 제시하지 못하고 있는 실정이다. 본 논문에서는 합리적인 수위파형 결정방법 제안을 위하여 평수위 상승, 홍수위 지속, 수위강하, 홍수빈도 등 수위파형 구성인자 변화에 따른 배수통문 설치 제방의 건전도 평가를 수행하였다. 평가결과, 문산배수통문 설치 제방의 설계수위파형은 최대 57 시간 이상의 평수위상승시간 및 53 시간 이상의 홍수위지속시간 등을 반영하여 설정하여야 할 것으로 평가되었다.

• 터널과지하공간
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• 제22권5호
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• pp.297-309
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• 2012

서비스업 목적을 위한 폐갱도에 대한 안정성 평가가 수행되었다. 공동의 안정성에 영향을 주는 많은 요소들 중 주어진 암반내의 공동폭이 하나의 중요한 설계요소가 된다. 이 논문에서는 폐갱도의 안정성 평가를 위해 갱도의 크기에 대해 Lang이 제안한 한계 공동폭 기준, Mathews'stability graph method 그리고 수정 제안된 한계 공동폭 기준과 Q 시스템의 지보대책을 이용하여 안정성 평가를 실시하였다. 전체적으로 안정성평가에서 안정한 것으로 판단되지만, 저각의 수평절리가 나타나는 구간에서는 쐐기형 블록의 낙석 위험이 예상된다. 또한 상용목적으로 폐갱도를 활용할려면 구역에 따라서는 록볼트와 같은 지보대책이 필요하다. 출입구 구간은 불안정 구간으로 특히 주의가 필요한 구간이다. 과발파에 의한 갱도 천정 및 측벽에 많은 크고 작은 부석들이 존재하고 있어 부석들에 대한 제거작업이 선행되어야 한다.

• 품질경영학회지
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• 제50권3호
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• pp.473-490
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• 2022

Purpose: The purpose of this study is to propose a new useful suggestion to monitor the stability of process by developing a stability ratio or index related to investigating how well the process is controlled or operated to the specified target. Methods: The proposed method to monitor the stability of process is building up a new measure index which is making up for the weakness of the existing index in terms of short or long term period of production. This new index is a combined one considering both stability and capability of process to the specification limits. We suppose that both process mean and process variation(or deviation) are changing on time period. Results: The results of this study are as follows: regarding the stability of process as well as capability of process, it was shown that two indices, called SI(stability index) and PI(performance index), can be expressed in two-dimensional X-Y graph simultaneously. This graph is categorized as 4 separated partitions, which are characterized by its numerical value intervals of SI and PI which are evaluated by test statistics. Conclusion: The new revised index is more robust than the existing one in investigating the stability of process in terms of short and long period of production, even in case both process mean and variation are changing.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1996년도 추계학술대회 논문집
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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.

• Geomechanics and Engineering
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• 제28권5호
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• pp.463-475
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• 2022

In the mine exploitation stage; one of the critical issues is the stability assessment of post-pillars. The instability of post-pillars leads to serious safety hazards in mining operations. The focus of this study is to assess the stability of post-pillars in the 130# stope in the central ore body at Trepça hard rock mine by employing both conventional (i.e., critical span curve) and numerical methods (i.e., FLAC3D). Moreover, a new numerical based index (i.e., Pillar Yield Ratio-PYR) was proposed. The aim of PYR index is to determine a border line between stable, potentially unstable, and failure state of post-pillars at a specific mine site. The critical value of pillar width to height ratio is 2.5 for deep production stopes (e.g., > 800 m). Results showed that pillar size, mining height and mining depth significantly have affected the post-pillar stability. The reliability of numerical based index (i.e., PYR) is verified based on empirical underground pillar stability graph developed by Lunder, 1994. The proposed pillar yield ratio index and pillar stability graph can be used as a design tool in new mining areas at Trepça hard rock mine and for other situations with similar geotechnical conditions.