• Title/Summary/Keyword: Stereographic projection

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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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    • v.20 no.4
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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.

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

  • Kim, Jae-Hong;Park, Chal-Sook;Jeon, Je-Sung;Hong, Won-Pho
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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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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Establishment of remedial methods and evaluation of slope stability using 3D scanning (3차원 스캐닝을 활용한 사면의 안정성 평가 및 대책공법수립)

  • Im, Eun-Sang;Kim, Bum-Joo;Oh, Seok-Hoon;Lim, Jeong-Yeul;Kim, Young-Kyung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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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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Rock Slope Stability Analysis in Boeun Region Considering Properties of Discontinuities (불연속면의 특성은 고려한 보은지역 암반사면 안정성해석)

  • 이지수;박혁진;민경덕;구호본
    • Economic and Environmental Geology
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    • v.34 no.6
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    • pp.601-615
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    • 2001
  • The study area. Boeun-eup Boeun-kun, belongs to Ogchon metamorphic belt which is highly metamorphosed and consisted of complex geologic formations. Even though the geological structures and formations are complex and metamorphosed, the geological investigation and consideration are not enough and consequently the plane failure is occurred in the rock slope which was under construction on 1 : 0.5 gradient. This area is assessed as unstable and additional failure is possible by the discontinuity with same direction of failure surface. Therefore, the authors evaluate the slope stability using various analysis methods such as SMR, stereographic projection method, and the limit equilibrium analysis. In order to analyze stress redistribution and nonlinear displacement behavior caused by stress release, the authors conduct numerical analysis with UDEC and then the behavior of rock mass is analyzed after reinforcements are applied.

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

  • 지인택;이달원
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.39 no.1
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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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A Study on the Computer Graphic Protraction on the Solar Shadow Mask (컴퓨터그래픽을 이용한 일영작도에 관한 연구)

  • Ku, H.D.;Kim, K.S.;Cho, Y.S.;Song, I.C.
    • Solar Energy
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    • v.19 no.2
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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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Stability Analysis of Rock Slope (암반절취사면의 안정해석)

  • Cho, Seong Seop;Kim, Yong Seong;Chee, In Taeg;Lee, Dal Won
    • Korean Journal of Agricultural Science
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    • v.23 no.1
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    • pp.1-12
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    • 1996
  • To design the safe and rational rock slope, several rock slopes of roads in Kang-won area were analyzed, and the following results were obtained ; 1. The results were analyzed by stereographic projection at the rock slope that the joint was developed. All of the sloped which were designed by standard slope of rock was not considered that the joints were unstable. 2. The relation of rainfall and slope failure, as well as the danger of failure, was very high when the maximum hourly rainfall was larger than 20mm and when there was a 2-day cumulative rainfall that was larger than 200mm. 3. In the design of rock slope, operated by the stereographic projection considering discontinuity. If turn out unstable, it should be analyzed carefully using the limit equilibrium method. 4. In the design of rock slope, it is desirable to consider the discontinuity of rock(joint, bedding, fault).

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

  • Cho, Taechin
    • Tunnel and Underground Space
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    • v.29 no.5
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    • pp.332-345
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    • 2019
  • Maximum dip vector of individual joint plane, which can be uniquely defined on the hemispherical projection plane, has been established by considering its dip and dip direction. A new stereographic projection method for the rock slope analysis which employs the maximum dip vector can intuitively predict the failure modes of rock slope. Since the maximum dip vector is uniquely projected on the maximum dip point of the great circle, the sliding direction of discontinuity plane can be recognized directly. By utilizing the maximum dip vector of discontinuity both the plane sliding and toppling directions of corresponding blocks can be discerned intuitively. Especially, by allocating the area of high dip maximum dip vector which can form the flanks of sliding block the potentiality for the formation of virtual sliding block has been estimated. Also, the potentiality of forming the triangular-sectioned sliding block has been determined by considering the dip angle of joint plane the dip direction of which is nearly opposite to that of the slope face. Safety factors of the different-shaped blocks of triangular section has been estimated and compared to the safety factor of the most hazardous block of rectangular section. For the wedge analysis the direction of crossline of two intersecting joint planes, which has same attribute of the maximum dip vector, is used so that wedge failures zone can be superimposed on the stereographic projection surface in which plane and toppling failure areas are already lineated. In addition the maximum dip vector zone of wedge top face has been delineated to extract the wedge top face-forming joint planes the orientation of which provides the vital information for the analysis of mechanical behavior of wedge block.

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

  • KIM, K.T.;CHO, YONGHAN
    • Publications of The Korean Astronomical Society
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    • v.34 no.1
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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.