• 제목/요약/키워드: limit analysis theorem

검색결과 58건 처리시간 0.025초

밀도측정을 위한 구간영상 최적 수집주기 결정 연구(서울 외곽순환도로 사패산 터널구간을 대상으로) (A Case Study of Panoramic Section Image Collection Method for Measuring Density - with matched images in the Seoul Beltway Sapaesan Tunnel -)

  • 박범진;노창균;김지수
    • 한국ITS학회 논문지
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    • 제13권4호
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    • pp.20-29
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    • 2014
  • 거시적인 3대 교통변수(교통량, 속도, 밀도)와 고속도로 서비스 수준의 효과척도(밀도, 교통량 대 용량비) 모두 해당되는 변수는 밀도이다. 특히 도로의 서비스 수준을 평가함에 있어 가장 정확하고 우수한 효과척도로 알려져 있다. 이러한 중요성에도 불구하고 측정방법의 어려움으로 인해 타 변수에 비해 밀도를 활용한 연구가 상대적으로 부족하였다. 기존 밀도추정방법의 경우 측정시각에 따라 동일한 교통류의 밀도값이 변화하는 등의 한계가 있다. 본 연구에서는 서울외곽순환고속도로 사패산 터널 내부의 CCTV 영상을 정합하여 파노라마 영상을 제작한 후, 제작된 파노라마 영상을 이용하여 실제 밀도를 측정하는 방법을 연구하였다. 중심극한정리를 이용하여 분석한 결과, 1 km 사진 24개(혹은 24초)를 이용하여 밀도를 측정하면 당시 교통상황을 잘 반영할 수 있었다. 즉, 본 연구에서 제시한 밀도 수집 주기를 준수하여 수집한 구간영상으로 밀도를 측정할 경우 측정시각에 관계없이 평균적인 밀도값을 측정할 수 있으며, 현실 교통류를 대변하는 현실적인 밀도를 취득할 수 있다.

강관다단 그라우팅으로 보강된 터널의 막장 안정성 평가 (Evaluation of Face Stability of Tunnel with Steel Pipe-Reinforced Multi-step Grouting)

  • 이인모;이재성;남석우
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2003년도 봄 학술발표회 논문집
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    • pp.273-280
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    • 2003
  • Tunneling in difficult geological conditions is often inevitable especially in urban areas. Ground improvement and reinforcement techniques are often required to guarantee safe tunnel excavations and/or to prevent damage to adjacent structures. The steel pipe-reinforced multi-step grouting method has been recently applied to tunnel sites in Korea as an auxiliary technique. In this study, the face stability with steel pipe-reinforced multi-step grouting was evaluated by simultaneously considering two factors: one is the effective stress acting on the tunnel face calculated by limit theorem and limit equilibrium method; the other is the seepage force obtained by means of numerical analysis. The study revealed that the influence of the steel pipe-reinforced multi-step grouting on the support pressure in dry condition is not significant while there is relatively a large amount of reduction in seepage forces by adopting the technique in saturated condition. The effect of the anisotropy of permeability on the seepage force acting on the tunnel face was also estimated by conducting the coupled analysis. It was found that a higher horizontal permeability compared with the vertical one causes reduction in the seepage force acting on the tunnel face.

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철근콘크리트 쌍곡 '안장' 쉘의 설계 예와 극한거동 (Design versus Ultimate Behavior of Reinforced Concrete Hyperbolic Paraboloid Saddle Shell)

  • 민창식
    • 대한토목학회논문집
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    • 제14권4호
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    • pp.807-814
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    • 1994
  • 철근콘크리트 쉘구조물에 대한 현행 설계방법의 타당성을 증명하기 위한 시도로서 Lin과 Scordelis에 의해서 사용되었던 쌍곡 포물선 '안장' 쉘에 대한 설계를 막응력 해석(membrane analysis)에 의해서 구한 응력을 토대로 하여, 보강철근의 설계는 특정부분의 극한거동에 근거를 둔 설계방정식을 이용하여 수행하였다. 비탄성해석을 수행한 결과 행이 97%의 설계극한하중을 지지할 수 있음을 보여주었다. 이는 설계방법이 본 연구에서 해석한 특정 쉘의 실제 극한하중에 대해서 소성이론의 하계정리(Lower bound theorem)가 적용 될 수 있다는 가능성을 보여주고 있으며, 따라서 현행 설계방법의 타당성을 제공하고 있다고 볼 수 있다. 이러한 결론을 일반화하기 위해서는 여러 형태의 철근콘크리트 쉘구조물에 대해서 광범위한 설계와 해석이 행해져야 할 것이다.

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A stress field approach for the shear capacity of RC beams with stirrups

  • Domenico, Dario De;Ricciardi, Giuseppe
    • Structural Engineering and Mechanics
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    • 제73권5호
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    • pp.515-527
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    • 2020
  • This paper presents a stress field approach for the shear capacity of stirrup-reinforced concrete beams that explicitly incorporates the contribution of principal tensile stresses in concrete. This formulation represents an extension of the variable strut inclination method adopted in the Eurocode 2. In this model, the stress fields in web concrete consist of principal compressive stresses inclined at an angle θ combined with principal tensile stresses oriented along a direction orthogonal to the former (the latter being typically neglected in other formulations). Three different failure mechanisms are identified, from which the strut inclination angle and the corresponding shear strength are determined through equilibrium principles and the static theorem of limit analysis, similar to the EC-2 approach. It is demonstrated that incorporating the contribution of principal tensile stresses of concrete slightly increases the ultimate inclination angle of the compression struts as well as the shear capacity of reinforced concrete beams. The proposed stress field approach improves the prediction of the shear strength in comparison with the Eurocode 2 model, in terms of both accuracy (mean) and precision (CoV), as demonstrated by a broad comparison with more than 200 published experimental results from the literature.

주파수 응답함수를 이용한 구조물 고유진동수 극대화를 위한 최적 지지점 선정 (Selection of Optimal Supporting Position to Maximize Natural Frequency of the Structure Using Frequency Response Function)

  • 박용화;정완섭;박윤식
    • 소음진동
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    • 제10권4호
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    • pp.648-654
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    • 2000
  • A procedure to determine the realizable optimal positions of rigid supports is suggested to get a maximum fundamental natural frequency. a measured frequency response function based substructure-coupling technique is used to model the supported structure. The optimization procedure carries out the eigenvalue sensitivity analysis with respect to the stiffness of supports. As a result of such stiffness optimization, the optimal rigid-support positions are shown to be determined by choosing the position of the largest stiffness. The optimally determined support conditions are verified to satisfy the eigenvalue limit theorem. To demonstrate the effectiveness of the proposed method, the optimal support positions of a plate model are investigated. Experimental results indicate that the proposed method can effectively find out the optimal support conditions of the structure just based on the measured frequency response functions without any use of numerical model of the structure.

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3D stability of shallow cavity roof with arbitrary profile under influence of pore water pressure

  • Luo, W.J.;Yang, X.L.
    • Geomechanics and Engineering
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    • 제16권6호
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    • pp.569-575
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    • 2018
  • The stability of shallow cavities with an arbitrary profile is a difficult issue in geotechnical engineering. This paper investigates this problem on the basis of the upper bound theorem of limit analysis and the Hoek-Brown failure criterion. The influence of pore pressure is taken into consideration by regarding it as an external force acting on rock skeleton. An objective function is constructed by equating the internal energy dissipation to the external force work. Then the Lagrange variation approach is used to solve this function. The validity of the proposed method is demonstrated by comparing the analytical solutions with the published research. The relations between shallow and deep cavity are revealed as well. The detaching curve of cavity roof with elliptical profile is obtained. In order to facilitate the application of engineering practice, the numerical results are tabulated, which play an important role in tunnel design and stability analysis of roof. The influential factors on potential collapse are taken into consideration. From the results, the impact of various factors on the extent of detaching is seen intuitively.

온라인 고속 상정사고 선택에 관한 연구 (A Study on the on-line fast Automatic Contingency Selection)

  • 송길영;김영한;노대석
    • 대한전기학회논문지
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    • 제36권5호
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    • pp.309-318
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    • 1987
  • In the on-line security analysis of power system, Automatic Contingency Selection (ACS) is commonly used to reduce the number of contingency cases which will be evaluated in detail. This paper describes a fast and reliable ACS method which adopts DC load flow in conjunction with compensation theorem to improve execution time, and applies severity performance index, divided on each limit level for considering overload rate, to make reliable contingency ranking. The method has been tested in IEEE 25 bus system and KEPCO 130 bus actual power system. The results of these tests verify its superiority to both the execution time and reliability, and illustrate its effectiveness for the practical use.

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Conditional Bootstrap Methods for Censored Survival Data

  • Kim, Ji-Hyun
    • Journal of the Korean Statistical Society
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    • 제24권1호
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    • pp.197-218
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    • 1995
  • We first consider the random censorship model of survival analysis. Efron (1981) introduced two equivalent bootstrap methods for censored data. We propose a new bootstrap scheme, called Method 3, that acts conditionally on the censoring pattern when making inference about aspects of the unknown life-time distribution F. This article contains (a) a motivation for this refined bootstrap scheme ; (b) a proof that the bootstrapped Kaplan-Meier estimatro fo F formed by Method 3 has the same limiting distribution as the one by Efron's approach ; (c) description of and report on simulation studies assessing the small-sample performance of the Method 3 ; (d) an illustration on some Danish data. We also consider the model in which the survival times are censered by death times due to other caused and also by known fixed constants, and propose an appropriate bootstrap method for that model. This bootstrap method is a readily modified version of the Method 3.

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지하공동 위에 설치된 기초의 지지력 (Effect of Underground Cavity on Bearing Capacity of Strip Footing)

  • 전진택;김영욱
    • 한국지반공학회논문집
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    • 제17권3호
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    • pp.69-75
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    • 2001
  • 본 논문에서는 지하공동 위에 설치된 띠 기초의 지지력에 대하여 upper bound theory를 이용하여 연구하였다. 기초 크기, 공동의 크기 및 위치, 그리고 지반의 물성치의 영향에 관하여 고찰하였으며 10개의 파괴 형상에 대하여 분석을 수행하였다. 각각의 파괴형상은 지반의 물성치 및 기하학적인 형상에 관한 함수로 표현되어 컴퓨터 해석을 통한 최소화를 시행하였다. 최소화를 위한 프로그램은 Boland C++ Builder를 이용하여 작성한 후 PC에서 수행되었다. 10개의 파괴형상 중 최소의 기초 지지력을 작성된 컴퓨터 프로그램을 통하여 구하였고 이를 해당 기초의 극한 지지력으로 추정되었다. 본 연구의 결과를 종합 정리하여 지하공동 위에 위치한 띠 기조의 극한 지지력을 구할 수 있는 간단한 식을 제시하였다.

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한계해석법에 의한 파일-지반-터널 상호작용 해석 (Upper and Lower Bound Solutions for Pile-Soil-Tunnel Interaction)

  • 이용주;신종호
    • 한국터널공학회:학술대회논문집
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    • 한국터널공학회 2005년도 학술발표회 논문집
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    • pp.77-86
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    • 2005
  • In urban areas, new tunnel construction work is often taking place adjacent to existing piled foundations. In this case, careful assessment for the pile-soil-tunnel interaction is required. However, research on this topic has not been much reported, and currently only limited information is available. In this study, the complex pile-soil-tunnel interaction is investigated using the upper and lower bound methods based on kinematically possible failure mechanism and statically admissible stress field respectively. It is believed that the limit theorem is useful in understanding the complicated interaction behaviour mechanism and applicable to the pile-soil-tunnel interaction problem. The results are compared with numerical analysis. The material deformation patterns and strain data from the FE output are shown to compare well with the equivalent physical model tests. Admissible stress fields and the failure mechanisms are presented and used to develop upper and lower bound solutions to assess minimum support pressures within the tunnel.

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