• 제목/요약/키워드: Limit Equilibrium Stability Analysis

검색결과 185건 처리시간 0.028초

조합하중를 받는 단층 래티스 돔과 아치의 안정경계에 관한 연구 (A Study on the Stability Boundaries for Single Layer Latticed Domes and Arch under Combined Loads)

  • 한상을;이상주;이갑수
    • 한국공간구조학회논문집
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    • 제4권3호
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    • pp.103-109
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    • 2004
  • 본 논문은 조합하중을 받는 공간구조물의 안정경계를 파악하는 것이다. 구조물에 작용하는 독립된 여러 가지 하중벡터는 기본이 되는 하중 모드와 하중매개 변수를 이용하여 나타내고, 독립된 하중 매개변수에는 비례관계를 설정함으로서 하나의 하중변수에 의해 하중을 부여한다. 구조물의 좌굴하중 즉 임계점은 평형조건이 불안정이 되는 극한점과 분기점으로 분류되고, 가장 낮은 하중이 좌굴하중으로 정의된다. 본 논문에서는 기하학적 비선형 문제를 해석하기 위한 수치해석법으로는 호장법과 뉴턴-랩슨법을 이용하였으며, 본 해석을 통하여 안정경계를 파악함은 물론 좌굴모드 및 좌굴하중을 명확히 규명하였다.

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Slope Failure Surface Using Finite Element Method

  • Ahn, Tae-Bong
    • 한국지반공학회논문집
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    • 제15권3호
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    • pp.27-40
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    • 1999
  • 사면안정해석을 수행하기 위하여 많이 사용하는 한계평형방법은 일정한 가정을 하여 안전율을 평형에 필요한 응력과 흙의 전단강도의 비로 정의하여 대상사면의 안전율을 구한다. 유한요소법을 이용한 사면안정해석방법은 응력상태를 유한요소법으로 구한 후 원호나 대수나선형등의 일정한 모양의 사면 파괴선을 가정하여 반복적으로 최소안전율을 구한다. 본 연구에서는 유한요소법을 이용한 사면안정해석방법을 개발하여 사면의 가장 취약한 부분을 따라 파괴선이 발생하도록 하였다. 이것은 요소내의 국부안전율과 파괴각을 고려하여 사면파괴선을 자동적으로 구할 수 있도록 함으로써 가능한데 이 방법은 임의의 파괴선을 가정할 필요가 없으며 절편에 작용하는 힘에 대하여 가정을 할 필요가 없고 임의의 모양의 파괴선을 구할 수 있는 장점이 있다. 본 연구에서는 개발된 해석방법을 검증하기 위하여 가상의 사면, 자연사면, 그리고 댐사면에 적용하여 실무에서 많이 사용하는 한계평형방법 프로그램인 STABL5M과 SLOPE/W과 비교 평가하였다.

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Hoek-Brown 강도기준식 및 암질강도지수를 이용한 고압 유체 지하저장 공동의 융기에 대한 안정성 평가 (Stability Analysis for Ground Uplift in Underground Storage Caverns for High Pressurized Gas using Hoek-Brown Strength Criterion and Geological Strength Index (GSI))

  • 김형목
    • 터널과지하공간
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    • 제24권4호
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    • pp.289-296
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    • 2014
  • 압축공기에너지 및 고압 천연가스 등의 고압 유체의 지하저장을 위한 저장공동 상부 암반의 융기에 대한 안정성 검토를 위한 간이해석기법을 개발하고 그 적용사례를 소개하였다. 본 해석기법은 저장공동 상부에 원통형의 파괴모델을 가정하고 한계평형해석을 실시함으로써 융기에 대한 안전율을 계산한다. 원통형 파괴면에 작용하는 마찰저항력 계산에는 Mohr-Coulomb 강도기준식을 대신하여 Hoek-Brown 강도기준식을 적용함으로써 무결암의 강도특성 뿐만 아니라 암반 상태도 고려할 수 있도록 하였다. 다양한 암반 조건에서의 적용사례 및 암반 강도 정수의 민감도 분석 결과, 저장공동 상부 암반의 융기는 Mohr-Coulomb 강도기준식에 보다 민감함을 확인하였다.

강우시 보강토 옹벽의 배수여부에 따른 안정성 - 수치해석 연구 (Stability of reinforced earth wall during rainfall - numerical investigation)

  • 유충식;김선빈;한준연
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
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    • pp.955-962
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    • 2008
  • This study concerns the effect of drainage in reinforced soil on its stability during rainfall. A series of finite-element analysis based transient seepage analysis were performed on a number of cases with different drainage conditions in terms of layers of geotextiles installed in the reinforced zone. The results were then coupled with the limit-equilibrium slope stability analysis to investigate the variation of global stability factor of safety with rainfall infiltration into the reinforced wall. The results were thoroughly analyzed to get insight into the mechanism of pore water pressure reduction effect of the geotextile and into its effect on overall slope stability. It is shown that layers of geotextile installed in the reinforced zone can prevent decrease in suction in the reinforced zone during rainfall, thereby reducing potential risk of decreasing shear strength of the reinforced zone. Practical implications of the findings were discussed.

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3차원 사면안정해석법의 유효성 평가 (The Evaluation of 3-D Slope Stability Analysis)

  • 최영준;이수헌;황승현;안준상;사토 유지
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 춘계 학술발표회
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    • pp.411-418
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    • 2009
  • So far the Limit Equilibrium Method has been widely used by way of 2-D slope stability analysis for the evaluation of land slides and slope failures. However recently the evaluation of 3-D slope stability analysis has been comparatively possible owing to the developments of obtaining the terrain data and geological data and of 3-D slope stability analysis softwares. In Japan the evaluation of the 3-D slope stability analysis has been necessary for the stability analysis of the tunnel mouth. In this study we inspected the economic effects introducing the 3-D slope stability analysis for larger scale landslides and slope failures. In case of 3-D slope stability analysis of landslides we acquired the results that we reduce the cost of the countermeasure work of pile work by 40% comparing the 2-D slope stability analysis. Moreover in case of the stability analysis of slope failures we figured out the results that we reduce the cost of the countermeasure work of anchor works by 20%. Furthermore we proved that 3-D slope stability analysis is effective for the stability analysis of tunnel mouths around the sides of landslides and large scale embankment which we could have not evaluated by conventional 2-D section stability analysis.

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A CASE STUDY ON OPEN PIT MINE ROCK SLOPE STABILITY

  • Um, Jeong-Gi
    • 대한지질공학회:학술대회논문집
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    • 대한지질공학회 2002년도 정기총회 및 학술발표회
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    • pp.109-114
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    • 2002
  • Development of a three-dimensional mine visualization model for a section of the mine is addressed first. Discontinuity orientation and location information was taken from this visualization model for use in slope stability analyses. Estimated shear strength properties of discontinuities and mechanical properties of intact rock from the rock mass samples obtained from the mine are discussed next. The third part of the paper is focused on the results obtained for maximum safe slope angles for the section considered of the mine based on block theory analysis conducted under only the gravitational forces using the mapped discontinuities at the mine. Finally, the effects of water that exist in the rock mass, a tension crack, slope face inclination, overall wedge height and double benching on factor of safety of wedge stability are illustrated through limit equilibrium slope stability analyses conducted on a single tetrahedral wedge belonging to potential key block category that exist in the investigated area of the mine.

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Linear elastic and limit state solutions of beam string structures by the Ritz-method

  • Xue, Weichen;Liu, Sheng
    • Structural Engineering and Mechanics
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    • 제35권1호
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    • pp.67-82
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    • 2010
  • The beam string structure (BSS) has been widely applied in large span roof structures, while no analytical solutions of BSS were derived for it in the existing literature. In the first part of this paper, calculation formulas of displacement and internal forces were obtained by the Ritz-method for the most commonly used arc-shaped BSS under the vertical uniformly distributed load and the prestressing force. Then, the failure mode of BSS was proposed based on the static equilibrium. On condition the structural stability was reliable, BSS under the uniformly distributed load would fail by tensile strength failure of the string, and the beam remained in the elastic or semi-plastic range. On this basis, the limit load of BSS was given in virtue of the elastic solutions. In order to verify the linear elastic and limit state solutions proposed in this paper, three BSS modal were tested and the corresponding elastoplastic large deformation analysis was performed by the ANSYS program. The proposed failure mode of BSS was proved to be correct, and the analytical results for the linear elastic and limit state were in good agreement with the experimental and FEM results.

지표수 침투와 천부 사면파괴와의 관계에 관한 기초연구 (Preliminary Study on the Co-relation between the Water Infiltration and the Shallow Slope Failure)

  • 송원경
    • 한국지반공학회지:지반
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    • 제14권6호
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    • pp.33-44
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    • 1998
  • 본 연구는 우기에 흔히 발생되는 천부 사면파괴와 지표수 침투와의 관계를 규명하기 위한 기초연구로서 수행되었다. 사면이 침투수에 의하여 부분적으로 포화되었을 경우에 토양에 작용하는 응력의 변화를 고찰하고 이와 관련된 사면의 전단강도 이론에 대하여 논의하였다. 그리고 임의의 무한 평면사면에 한계평형법을 적용하여 지표수 침투가 사면의 안정성에 미치는 영향을 분석하였다. 또한 한계평형 해석에서 사용한 일부 모델과 동일한 조건하에서 유한차분법 프로그램인 FLAC을 이용하여 수치해석을 실시하고 그 결과를 한계평형 해석에서 구한 결과와 비교해봄으로써 지표수침투와 사면의 안정성 문제에 관한 수치해석적 접근 가능성을 검토하였다. 본 연구는 단순 사면에 대한 해석결과이므로 보다 일반적인 사면에 적용하기 위해서는 더욱 나은 연구가 수행되어야 할 것이다.

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Slope stability study of an open pit gold mine project in interior Alaska

  • Huang Scott L.
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
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    • pp.72-77
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    • 2003
  • The study tasked by Ryan Lode Mines, Inc. involved analysis of pit slope stability for two future pits, Ryan and Curlew. A geological discontinuity survey and groundwater information were obtained through a field program. Twenty core logs containing geotechnical information were used for rock mass classification. The kinematic analysis was performed based on a friction angle (${\Phi}=35^{\circ}$), the distribution of geological structures, and a dry slope condition. Factors of safety of pit slopes in two future mines were determined using the limit equilibrium method. The mine slopes and benches designed by Mine Development Associates (MDA) were analyzed. The analysis indicated that both pits should have an overall safety factor above 1.0, provided the slopes are kept dry. However, slopes in both pits exceeding 91.4 m (300 ft) high will become critical, when water fills the cracks and discontinuities.

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LE analysis on unsaturated slope stability with introduction of nonlinearity of soil strength

  • Deng, Dong-ping;Lu, Kuan;Li, Liang
    • Geomechanics and Engineering
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    • 제19권2호
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    • pp.179-191
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    • 2019
  • Based on the effective stress principle, a new formula for shear strength of unsaturated soil is derived under the general nonlinear Mohr-Coulomb (M-C) strength criterion to improve the classical strength criterion of unsaturated soil. Meanwhile, the simple irrigation model under steady seepage is adopted to obtain the distribution of the matrix suction or the degree of saturation (DOS) above the groundwater table in the slope. Then, combined with the improved strength criterion of unsaturated soil and the simple irrigation model under steady seepage, the limit equilibrium (LE) solutions for the unsaturated slope stability are established according to the global LE conditions of the entire sliding body with assumption of the stresses on the slip surface. Compared to the classical strength criterion of unsaturated soil, not only the cohesion soil but also the internal friction angle is affected by the matric suction or the DOS in the improved strength criterion. Moreover, the internal friction angle related to the matric suction has the nonlinear characteristics, particularly for a small of the matric suction. Thereafter, the feasibility of the present method is verified by comparison and analysis on some slope examples. Furthermore, stability charts are also drawn to quickly analyze the unsaturated slope stability.