• 제목/요약/키워드: limit analysis method

검색결과 2,339건 처리시간 0.026초

Estimation of liquid limit of cohesive soil using video-based vibration measurement

  • Matthew Sands;Evan Hayes;Soonkie Nam;Jinki Kim
    • Geomechanics and Engineering
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    • 제33권2호
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    • pp.175-182
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    • 2023
  • In general, the design of structures and its construction processes are fundamentally dependent on their foundation and supporting ground. Thus, it is imperative to understand the behavior of the soil under certain stress and drainage conditions. As it is well known that certain characteristics and behaviors of soils with fines are highly dependent on water content, it is critical to accurately measure and identify the status of the soils in terms of water contents. Liquid limit is one of the important soil index properties to define such characteristics. However, liquid limit measurement can be affected by the proficiency of the operator. On the other hand, dynamic properties of soils are also necessary in many different applications and current testing methods often require special equipment in the laboratory, which is often expensive and sensitive to test conditions. In order to address these concerns and advance the state of the art, this study explores a novel method to determine the liquid limit of cohesive soil by employing video-based vibration analysis. In this research, the modal characteristics of cohesive soil columns are extracted from videos by utilizing phase-based motion estimation. By utilizing the proposed method that analyzes the optical flow in every pixel of the series of frames that effectively represents the motion of corresponding points of the soil specimen, the vibration characteristics of the entire soil specimen could be assessed in a non-contact and non-destructive manner. The experimental investigation results compared with the liquid limit determined by the standard method verify that the proposed method reliably and straightforwardly identifies the liquid limit of clay. It is envisioned that the proposed approach could be applied to measuring liquid limit of soil in practical field, entertaining its simple implementation that only requires a digital camera or even a smartphone without the need for special equipment that may be subject to the proficiency of the operator.

Three-dimensional limit analysis of seismic stability of tunnel faces with quasi-static method

  • Zhang, B.;Wang, X.;Zhang, J.S.;Meng, F.
    • Geomechanics and Engineering
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    • 제13권2호
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    • pp.301-318
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    • 2017
  • Based on the existing research results, a three-dimensional failure mechanism of tunnel face was constructed. The dynamic seismic effect was taken into account on the basis of quasi-static method, and the nonlinear Mohr-Coulomb failure criterion was introduced into the limit analysis by using the tangent technique. The collapse pressure along with the failure scope of tunnel face was obtained through nonlinear limit analysis. Results show that nonlinear coefficient and initial cohesion have a significant impact on the collapse pressure and failure zone. However, horizontal seismic coefficient and vertical seismic proportional coefficient merely affect the collapse pressure and the location of failure surface. And their influences on the volume and height of failure mechanism are not obvious. By virtue of reliability theory, the influences of horizontal and vertical seismic forces on supporting pressure were discussed. Meanwhile, safety factors and supporting pressures with respect to 3 different safety levels are also obtained, which may provide references to seismic design of tunnels.

Limit speeds and stresses in power law functionally graded rotating disks

  • Madan, Royal;Saha, Kashinath;Bhowmick, Shubhankar
    • Advances in materials Research
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    • 제9권2호
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    • pp.115-131
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    • 2020
  • Limit elastic speed analysis of Al/SiC-based functionally graded annular disk of uniform thickness has been carried out for two cases, namely: metal-rich and ceramic rich. In the present study, the unknown field variable for radial displacement is solved using variational method wherein the solution was obtained by Galerkin's error minimization principle. One of the objectives was to identify the variation of induced stress in a functionally graded disk of uniform thickness at limit elastic speed using modified rule of mixture by comparing the induced von-Mises stress with the yield stress along the disk radius, thereby locating the yield initiation. Furthermore, limit elastic speed has been reported for a combination of varying grading index (n) and aspect ratios (a/b).Results indicate, limit elastic speed increases with an increase in grading indices. In case of an increase in aspect ratio, limit elastic speed increases up to a critical value beyond which it recedes. Also, the objective was to look at the variation of yield stress corresponding to volume fraction variation within the disk which later helps in material tailoring. The study reveals the qualitative variation of yield stress for FG disk with volume fraction, resulting in the possibility of material tailoring from the processing standpoint, in practice.

개별요소법과 한계평형법을 이용한 보은지역 암반사면 안전율 비교해석 (Comparison Analysis of Factor of Safety on Rock Slope in Boeun Region Using Distinct Element Method and Limit Equilibrium Method)

  • 이지수;유광호;박혁진;민경덕
    • 한국지반공학회논문집
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    • 제19권4호
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    • pp.33-41
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    • 2003
  • 연구대상 사면은 충북 보은군 보은읍 도로공사구간 내의 절취사면으로 절취시공 후 암반사면내의 일부 구간에서 평면파괴로 인한 사면 붕괴가 발생하였다. 이 구간에서는 파괴면과 유사한 방향성을 갖는 불연속면이 암반사면 내에 다수 분포하여 추가 붕괴가 예상되는 불안정한 상태이다. 따라서, 본 사면에 대하여 암반사면의 안정성 해석에 보편적으로 사용되는 SMR, 평사투영법, 한계평형법 및 수치해석 등의 기법을 이용하여 사면의 안정성을 해석하였다. 사면의 안정성평가에 보편적으로 사용되는 한계평형법은 간단한 계산에 의해 사면의 안정성을 평가할 수 있는 장점이 있으나 파괴 활동면을 가정할 수 없는 단일 안전율에 의해 전체 사면의 안정성을 평가하는 단점이 있다. 따라서, 본 연구에서는 개별절리를 고려하여 사면의 안정성을 평가하는 전단강도 감소기법으로부터 안전율을 계산하였으며, 이를 한계평형해석의 결과와 비교ㆍ분석하였다. 또한 본 사면내에 지하수 영향을 고려하고 보강공법을 적용하여 종합적인 안정성을 검토하였다.

Limit analysis of a shallow subway tunnel with staged construction

  • Yu, Shengbing
    • Geomechanics and Engineering
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    • 제15권5호
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    • pp.1039-1046
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    • 2018
  • This paper presents a limit analysis of the series of construction stages of shallow tunneling method by investigating their respective safety factors and failure mechanisms. A case study for one particular cross-section of Beijing Subway Line 7 is undertaken, with a focus on the effects of multiple soil layers and construction sequencing of dual tunnels. Results show that using the step-excavation technique can render a higher safety factor for the excavation of a tunnel compared to the entire cross-section being excavated all at once. The failure mechanisms for each different construction stage are discussed and corresponding key locations are suggested to monitor the safety during tunneling. Simultaneous excavation of dual tunnels in the same cross-section should be expressly avoided considering their potential negative interactions. The normal and shear forces as well as bending moment of the primary lining and locking anchor pipe are found to reach their maximum value at Stage 6, before closure of the primary lining. Designing these struts should consider the effects of different construction stages of shallow tunneling method.

유한요소법에 의한 사면붕괴 거동해석에 미치는 영향분석 (Analysis for Effects of Slope Failure Behavior by Finite Element Method)

  • 김영민
    • 한국지반공학회논문집
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    • 제15권5호
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    • pp.19-28
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    • 1999
  • 본 논문에서는 사면붕괴해석에 대한 유한요소법의 적용에 대하여 검토하였다. 사면안정문제에 대해 가장 일반적으로 사용되는 방법은 한계평형이론에 의한 절편법이다. 또한 유한요소법은 지반의 응력, 변형률을 분석하는 방법으로 널리 인식되어 있다. 본 논문에서는 유한요소법으로 사면안정해석시, 요구되는 최소안전율 계산방법을 효율적으로 고려하는 방법에 대하여 검토하였다. 그리고 유한요소법으로 사면의 붕괴해석을 하는 경우에, 적용되는 해석방법 및 그 결과에 미치는 요인에 대하여 검토하였다. 또한, 여러 사면의 경우에 대하여 기존의 한계평형법에 의한 절편법과 유한요소 해석결과를 비교, 검토하였다.

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인도페놀법을 이용한 수용액 중 암모니아 정량에 관한 연구 : 평형법, 반응속도법, 흐름주입분석법의 비교와 평가 (Determination of Aqueous Ammonia with Indophenol Method : Comparision and Evaluation for the Reaction-Rate, Equilibrium and Flow-Injection Analysis Methods)

  • 정형근;김범식
    • 한국환경과학회지
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    • 제4권1호
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    • pp.91-103
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    • 1995
  • The reaction rate, equilibrium, and flow injection analysis methods were fundamentally evaluated for the determination of aqueous ammonia. The selected indophenol blue method was based on the formation of indophenol blue in which ammonium ion reacted with hypochlorite and phenol in alkaline solution. In the optimized reaction condition, the reaction followed 1st order reaction kinetics and the final product was stable. The absorbance measurements before and after the equilibrium were utilized for the reaction rate and equilibrium methods. The reaction rate methods, based on the relative analytical signals for the possibility of eliminating interferents, were shown to have good linear calibration curves but the detection limit and the calibration sensitivity were poorer than those in the equilibrium method. The detection limits were 32-49 pub and 24 pub for the reaction rate and equilibrium methods, respectively In the flow injection analysis, the absorbance was measured before the equilibrium reached and thus resulted in 30% reduction of calibration sensitivity. However, the detection limit was 11 ppb, indicating that the peak-to-peak noise for the blank was remarkably improved. Compared to the manual methods, the optimized experimental condition in a closed reaction system reduced the blank absorbance and the inclusion of ammonia from the atmosphere was prevented. In addition, highly reproducible mixing of sample and reagents and analytical data extracted from continuous recording showed excellent reproducibility.

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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.

비선헝 비탄성 유한변위 해석 및 좌굴해석에 의한 강사장교의 극한강도 비교 (Comparison of Limit Strength of Steel Cable-Stayed Bridges using Nonlinear Inelastic Displacement and Buckling Analyses)

  • 김승억;최동호;마상수;송원근
    • 한국전산구조공학회논문집
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    • 제18권3호
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    • pp.277-289
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    • 2005
  • 본 논문은 강사장교의 극한강도를 다루고 있다. 강사장교의 극한강도를 평가하기 위하여 비선형 비탄성 해석 접근법과 분기점 좌굴 고유치해석 접근법인 유효접선탄성계수$(E_f)$법을 사용하여 예제를 수행하였다. 이를 위하여 초기형상을 고려한 실용적인 비선형 비탄성 해석기법을 제시하였다. 초기형상 해석 시각 형상해석 단계마다 보-기둥 부재의 부재력 대신 개선된 구조물형상을 고려하였다. 보-기둥 부재의 기하학적 비선형은 안정함수를 사용하여 고려하였고, 재료적 비선형은 CRC 접선계수와 포물선 함수를 사용하여 고려하였다. 또한, 케이블 부재의 기하학적 비선형은 할선탄성계수 값을 사용하여 고려하였다. 본 연구에서 제안한 해석기법으로 예측된 하중-변위 곡선들이 다른 연구에 의한 결과들과 비교 검증 되었으며, 제시된 3차원 강사장교 모델들에 대하여 제안한 해석기법과 비탄성 좌굴해석을 사용하여 극한강도를 비교하였다.

기하학적 관계를 바탕으로 한 가공공정 관리한계의 실시간 획득에 관한 연구 (A study for the real-time acquirement of cutting process control limit based on geometrical relations)

  • 홍준희
    • 한국정밀공학회지
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    • 제12권3호
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    • pp.82-91
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    • 1995
  • The purpose of this research is to develop a new real-time process control system. In this paper, a theoretical method for acquiring the control limit of cutting process(cutting surface) according to the required value(geometric tolerance) based on geometrical relations was propsed. In particular, the three following points are amphasized. Firstly, the process control was based on the cutting process, and the control limit was determined from the analysis of geometrical relations. Secondly, AMGD(Actual Measured Geometrical Deviation) was used as a new substitute value in process analysis. Thirdly, fuzzy reasoning was introduced to get the control limit flexibility according to the variations in the required value and general consideration of each measurememnt items.

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