• 제목/요약/키워드: Stereographic projection

검색결과 46건 처리시간 0.021초

Pseudo-static stability analysis of wedges based on the nonlinear Barton-Bandis failure criterion

  • Zhao, Lianheng;Jiao, Kangfu;Zuo, Shi;Yu, Chenghao;Tang, Gaopeng
    • Geomechanics and Engineering
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    • 제20권4호
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    • pp.287-297
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    • 2020
  • This paper investigates the stability of a three-dimensional (3D) wedge under the pseudo-static action of an earthquake based on the nonlinear Barton-Bandis (B-B) failure criterion. The influences of the mechanical parameters of the discontinuity surface, the geometric parameters of the wedge and the pseudo-static parameters of the earthquake on the stability of the wedge are analyzed, as well as the sensitivity of these parameters. Moreover, a stereographic projection is used to evaluate the influence of pseudo-static direction on instability mode. The parametric analyses show that the stability coefficient and the instability mode of the wedge depend on the mechanical parameter of the rock mass, the geometric form of the wedge and the pseudo-static state of the earthquake. The friction angle of the rock φb, the roughness coefficient of the structure surface JRC and the two angles related to strikes of the joints θ1 and θ2 are sensitive to stability. Furthermore, the sensitivity of wedge height h, the compressive strength of the rock at the fracture surface JCS and the slope angle α to the stability are insignificant.

풍화된 변성암 사면의 안정대책 사례 (Case of slope stability in weathered metamorphic rock)

  • 김재홍;박철숙;전제성;홍원표
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
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    • pp.1400-1405
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    • 2008
  • Execute surface of the earth geological survey for stability analysis of stealing cutting sides and investigated wide area nature of soil structure. Inflected DIPS that measure discontinuity's direction that develop to slope and is slope stability a wide use program for Stereographic Projection Method analysis that utilize geometrical correlation of stealing four sides and discontinuity surface. It is principle that angle of internal friction that is basis element of stability estimation applies direct shear test result on joint side, Examination is impossible by case execution, suppose by 30 angles that apply more conservatively in base rock slope sides usually and achieved analysis. When analyze, consider discontinuity's various adult that develop in research slope, after conduct first each discontinuity different assay falling into fault, joint, executed stability estimation which synthesize whole discontinuity data. When ailment element is recognized as analysis result, wished to present stability countermeasure way of most suitable to take into account of execution, stability, economic performance.

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3차원 스캐닝을 활용한 사면의 안정성 평가 및 대책공법수립 (Establishment of remedial methods and evaluation of slope stability using 3D scanning)

  • 임은상;김범주;오석훈;임정열;김영경
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2006년도 춘계 학술발표회 논문집
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    • pp.711-719
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    • 2006
  • In this study, a 3D laser scanner is applied to evaluate of the stability of rock slope and to establish a adequate counter-method. From 3D scanning results, three dimensional digital data of rock slope is acquired, and then it is investigated for the engineering properties of discontinuities in rock mass. On the base of the result, we carry out the analysis of slope stability using the methods of the stereographic projection. In particular, the use of a 3D laser scanner is powerful about the slope on which person is difficult to approach because we can obtain the informations of discontinuities from the 3D digital data.

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불연속면의 특성은 고려한 보은지역 암반사면 안정성해석 (Rock Slope Stability Analysis in Boeun Region Considering Properties of Discontinuities)

  • 이지수;박혁진;민경덕;구호본
    • 자원환경지질
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    • 제34권6호
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    • pp.601-615
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    • 2001
  • 본 연구지역인 충북 보은군 보은읍 일대는 옥천변성대에 속하며, 도로공사구간 중 1:0.:리 구배로 절취한 암반사 면내의 일부구간에서 평면파괴가 발생하였다. 이 구간은 파괴면과 동일한 방향성을 갖는 불연속면에 의해 추가붕괴가 예상되는 등 불안정한 상태이다. 따라서, 본 사면에 대해 SMR, 평사투영법, 한계평형법으로 안전성을 해석하였다. 그러나, 이러한 방법으로 해석할 수 없는 절취에 따른 암반사면의 응력재분배 및 비선형적인 변위거동에 대해서는 UDEC 을 이용하여 수치해석하고, 보강공법을 적용하여 안정성을 해석해 보았다.

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절토사면의 안정해석과 보강방법 (The Reinforcement Method and Stability Analysis of Cut Slopes)

  • 지인택;이달원
    • 한국농공학회지
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    • 제39권1호
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    • pp.112-121
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    • 1997
  • The aim of this study was to analyze the slope stability relating to the failure of cut slopes and the characteristics of stress-strain relations obtained by limit equilibrium method, finite element method, and stereographic projection method for the reinforced cut slopes. The following conclusions were made : 1.To use stereographic projection method led to little possibility to take the toppling and wedge failure while to use the other methods led to the failure. It was recommended to reduce the slope inclination from 1:1 to 1: 1.5~1 :1.8 and adopt coir mesh method to protect the slope surface. position with the horizontal displacement after final excavation moved to the excavation base. The maximum shear strain values concentrated at the excavation base indicated the possibility to induce the local failure. 3. It was recommended that the slope inclination for blast rock with the slope height larger than l0m was 1: 0.5, 1:1, and 1: 1~1 :1.5 for hard rocks, soft and ordinary rocks, and ripping and soils, respectively. 4. Berm width criteria for blast rock with the slope height larger than l0m were recommended as follow : 2~3m per 20m slope height for hard rocks, 1 ~2m per l0m slope height for soft and ordinary rocks, 1 ~ l.5m per 5m slope height for ripping and soils.

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컴퓨터그래픽을 이용한 일영작도에 관한 연구 (A Study on the Computer Graphic Protraction on the Solar Shadow Mask)

  • 구현덕;김기세;조일식;송인춘
    • 태양에너지
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    • 제19권2호
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    • pp.9-19
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    • 1999
  • For determining solar benefit hour are two different methods required as a direct calculation which is more accurate but too slow, and a computer graphic protration which is less accurate but too fast. To have the later accurate, the hour to hour interpolation is used to provide less visual deviation. With directly pointing the solar location into the screen coordinate the waldram projection and stereographic projection which needs the number of fast algorithms to calculate the coordinates of the sun path and building configuration casting to the space are applied.

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암반절취사면의 안정해석 (Stability Analysis of Rock Slope)

  • 조성섭;김용성;지인택;이달원
    • 농업과학연구
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    • 제23권1호
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    • pp.1-12
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    • 1996
  • 암반사면의 안정성 검토는 암반내에 존재하는 불연속면의 물리적인 특성에 의하여 좌우되므로 암반에서 불연속연의 공학적 특성을 파악하는 것이 중요하다. 현재 암반사면의 경사도는 경험적인 요소들에 의하여 결정되거나 암석강도에 의한 표준경사 기준을 적용하고 있는 실정이나 이러한 기준은 절취사변의 풍화정도와 불연속면의 발달상태를 고려하지 않고 사변경사가 결정되기 때문에 사면 붕괴 발생의 위험이 항상 내재되어 있다. 따라서, 안전하고 합리적인 암반절취사면의 설계를 위하여 강원도 지역 도로의 암반사면 6개소를 분석하여 다음과 같은 결론을 얻었다. 1. 절리가 발달된 암반사면을 대상으로 평사투영법에 의하여 안전성을 분석한 결과, 현재와 같이 절리를 고려하지 않는 암반의 표준구배로 설계된 사면은 모두 불안하게 나타났다. 2. 강우와 사면붕괴와의 관계에서 최대시우량이 20mm이상이고 2일 연속강우량이 200mm이상일 때 사면붕괴의 위험성이 높은 것으로 나타났다. 3. 사면설계에서는 대표적인 불연속면의 공학적인 특성을 고려하여 평사투영법을 실시하고, 평사투영법에 의해 불안정한 것으로 판단된 사면은 한계평형식을 이용하여 정밀분석하는 것이 바람직하다. 4. 암반사면의 설계는 강도에 의한 것보다는 암반의 불연속면(절리, 층리, 단층)등을 고려하여 설계하는것이 바람직하다.

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불연속면의 최대경사벡터를 활용한 사면거동해석 (Analysis of Rock Slope Behavior Utilizing the Maximum Dip Vector of Discontinuity Plane)

  • 조태진
    • 터널과지하공간
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    • 제29권5호
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    • pp.332-345
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    • 2019
  • 평사투영도에서 불연속면을 대표하는 유일한 점으로 정의되는 최대경사벡터를 해당 면의 경사와 경사방향에 의거하여 형성하였다. 평사투영해석에서 평면의 극점이 대원과 역방향에 제도되는 것에 비해 최대경사벡터는 대원의 최대 경사지점에 위치하여 불연속면의 미끄러짐 방향을 직접 투영도 상에서 지시한다. 투영도 상에서 불연속면의 거동방향을 직접적으로 지시하는 최대경사벡터를 활용하여 평면 및 전도파괴 양상을 직관적으로 확인하였다. 특히 평면 파괴의 경우 블록의 옆면을 형성하는 고 경사 절리의 존재를 확인하여 실제 미끄러짐 블록의 형성가능성을 산정하였다. 또한 사면 방향과 반대방향을 갖는 고경사절리들의 존재를 확인하여 3각형 단면을 갖는 미끄러짐 블록의 형성여부를 판별하고 안전율을 도출하였으며, 4각형 단면을 갖는 가장 취약한 블록의 안전율과 비교분석하였다. 쐐기파괴 경우에는 절리면 교차에 의해 형성되는 쐐기의 기저선 방향이 최대경사벡터 속성을 지니고 있어 쐐기파괴 영역을 평면 및 전도파괴 영역이 제도된 투영도 상에 함께 도시하여 분석을 수행하였다. 특히 쐐기 상부 면을 형성하는 절리를 추출할 수 있어 전체 쐐기형상을 추정하고 역학적 거동분석을 수행하는데 요구되는 쐐기의 기하학적 특성자료를 도출하는 토대를 확립하였다.

「혼천전도」의 투영법 고찰 (A STUDY ON THE PROJECTION METHOD OF THE 「HON-CHON-JEON-DO」)

  • 김광태;조용한
    • 천문학논총
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    • 제34권1호
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    • pp.1-16
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    • 2019
  • "Hon-Chon-Jeon-Do" is a woodcut star map with the size of $79.4cm{\times}127.5cm$, and was widely disseminated as it was made into a set with Kim, Jung Ho's "Yeoji-Jeon-Do". This study confirmed that Yixiang kaocheng xubian ("의상고성속편") star catalogue was used as a source to produce the star map, and the stereographic projection was applied with the projection center being the mid-point (Q) between the celestial and ecliptic north poles. The 'mid-circle' around the Q is arisen between the equator and the ecliptic, and on this circle, the hour angle and the ecliptic longitude of a star can be marked using the same scale. This means that the hour of the day and the season of the year can be read on the same dial of the mid-circle, and the application of this character in the practical use was the key point of the star map production. By observing either transits or positions of the 28 xiu (宿), it is easy to find the corresponding season and time by simply reading the dial on the mid-circle. This is just the function of a portable almanac and thus by disseminating it widely, the convenience of the people would have been promoted. For this reason, it can be stated that "Hon-Chon-Jeon-Do" was a practical astronomical tool which was produced by the western astronomical projection method and was used to find time and season. Choi, Han Ki and Kim, Jung Ho are strong candidates for the makers of this star map. The time of production is estimated to be 1848 ~ 1857, and "Hon-Chon-Jeon-Do" could be regarded as a good contributor to popularization of astronomy in the late Joseon Dynasty.