• 제목/요약/키워드: upper-bound theorem

검색결과 55건 처리시간 0.018초

Characterization of New Two Parametric Generalized Useful Information Measure

  • Bhat, Ashiq Hussain;Baig, M. A. K.
    • Journal of Information Science Theory and Practice
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    • 제4권4호
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    • pp.64-74
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    • 2016
  • In this paper we define a two parametric new generalized useful average code-word length $L_{\alpha}^{\beta}$(P;U) and its relationship with two parametric new generalized useful information measure $H_{\alpha}^{\beta}$(P;U) has been discussed. The lower and upper bound of $L_{\alpha}^{\beta}$(P;U), in terms of $H_{\alpha}^{\beta}$(P;U) are derived for a discrete noiseless channel. The measures defined in this communication are not only new but some well known measures are the particular cases of our proposed measures that already exist in the literature of useful information theory. The noiseless coding theorems for discrete channel proved in this paper are verified by considering Huffman and Shannon-Fano coding schemes on taking empirical data. Also we study the monotonic behavior of $H_{\alpha}^{\beta}$(P;U) with respect to parameters ${\alpha}$ and ${\beta}$. The important properties of $H_{{\alpha}}^{{\beta}}$(P;U) have also been studied.

Sway Added Mass of a Rectangular Cylinder in a Restricted Water

  • Hwang, J.H.;Rhee, K.P.;Kang, C.K.
    • 대한조선학회지
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    • 제19권1호
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    • pp.3-14
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    • 1982
  • In this paper, the sway added mass of a rectangular cylinder in a restricted water is considered by applying Hamilton's principle as the frequency tends to zero. The present method is an extension of Isshiki's method proposed in 1978. In the present method, it is assumed that the fluid velocity distribution in each subdomain of the fluid can be represented by higher order polynomials while Isshiki assumed linear velocity distribution. The fluid flow is assumed as a rotational motion in the present analysis. However, the results obtained from the present method show good agreement with Bai's numerical results for the case of large clearances between a canal wall and a cylinder. From Kelvin's minimum energy theorem, we can see that the value of sway added mass obtained from the present method approaches the upper bound. The approximate formula obtained in the present study takes a simple form which consists of the dimensions of the canal and the cylinder. The present formulae are derived for the cases of a rectangular cylinder swaying at the center of a narrow or wide canal relative to a cylinder, at off-center location in a canal, and in the restricted water with a single wall. From the results of numerical calculation, it is concluded that the sway added mass in restricted waters is more affected by water depth than clearance between a wall and a cylinder.

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Effect of the support pressure modes on face stability during shield tunneling

  • Dalong Jin;Yinzun Yang;Rui Zhang;Dajun Yuan;Kang Zhang
    • Geomechanics and Engineering
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    • 제36권5호
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    • pp.417-426
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    • 2024
  • Shield tunneling method is widely used to build tunnels in complex geological environment. Stability control of tunnel face is the key to the safety of projects. To improve the excavation efficiency or perform equipment maintenance, the excavation chamber sometimes is not fully filled with support medium, which can reduce the load and increase tunneling speed while easily lead to ground collapse. Due to the high risk of the face failure under non-fully support mode, the tunnel face stability should be carefully evaluated. Whether compressive air is required for compensation and how much air pressure should be provided need to be determined accurately. Based on the upper bound theorem of limit analysis, a non-fully support rotational failure model is developed in this study. The failure mechanism of the model is verified by numerical simulation. It shows that increasing the density of supporting medium could significantly improve the stability of tunnel face while the increase of tunnel diameter would be unfavorable for the face stability. The critical support ratio is used to evaluate the face failure under the nonfully support mode, which could be an important index to determine whether the specific unsupported height could be allowed during shield tunneling. To avoid of face failure under the non-fully support mode, several charts are provided for the assessment of compressed air pressure, which could help engineers to determine the required air pressure for face stability.

콘크리트 시공줄눈 면에서 점착력 및 마찰계수의 변화를 고려한 전단내력 평가 (Estimation of Shear Strength Along Concrete Construction Joints Considering the Variation of Concrete Cohesion and Coefficient of Friction)

  • 양근혁;권혁진;박종범
    • 한국구조물진단유지관리공학회 논문집
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    • 제21권6호
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    • pp.106-112
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    • 2017
  • 본 연구에서는 콘크리트 시공줄눈 면의 전단마찰 내력을 합리적으로 평가하기 위하여 콘크리트 소성론의 상계치 이론에 기반한 수학적 모델을 제시하였다. 전단면에서 횡보강근의 전단전달에 대한 과대평가를 피하기 위하여 시공줄눈 면에서의 하중전달에 대한 스트럿-타이 모델에서 콘크리트 할렬 및 압괴의 한계상태로부터 전단마찰 내력의 상한값을 유도하였다. 제시된 모델은 시공줄눈 면에서 콘크리트 점착력과 마찰계수를 거친 면의 경우 각각 $0.27(f_{ck})^{0.65}$와 0.95를, 부드러운 면의 경우 각각 $0.11(f_{ck})^{0.65}$와 0.64로 결정하였는데, 여기서 $f_{ck}$는 콘크리트 압축강도이다. 직접전단에 대한 기존 문헌으로부터 수집한 146 실험데이터와의 비교로부터, 제시된 모델은 AASHTO 및 fib 2010 식에 비해 예측 값과 실험 값들의 비의 표준편차 및 변동계수에 대해 더 낮은 값을 보였다. 특히 전단마찰 내력 평가에서 기준식들의 상당한 과소평가 경향과 달리 제시된 모델은 실험결과와 잘 예측하였다.

와이어로프로 외부 보강된 철근콘크리트 연속 T형 보의 전단내력 (Shear Capacity of Reinforced Concrete Continuous T-Beams Externally Strengthened with Wire Rope Units)

  • 양근혁;심재일;변항용
    • 콘크리트학회논문집
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    • 제19권6호
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    • pp.773-783
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    • 2007
  • 와이어로프 단위를 이용한 단순한 비 부착형 전단보강 기술이 개발되었다. 제안된 보강 기술에 의해 보강된 연속 T형 보 6개와 동일한 무 보강 시험체가 실험되었다. 고려된 주요 변수는 와이어로프의 양과 프리스트레스이다. 모든 시험체의 기하학적 특성 및 철근 배근을 동일하다. 와이어로프의 프리스트레스로 인한 콘크리트 복부에서의 수직응력 분포가 보의 경사균열 전단내력 및 최대 전단내력에 미치는 영향이 또한 제시되었다. 본 연구의 실험 결과로부터 제안된 보강 기술을 이용하여 철근콘크리트 보의 전단내력 향상 및 연성을 확보하기 위해서는 와이어로프 비는 ACI 기준에서 제시하는 최소 전단철근비의 2.5배 이상, 그리고 프리스트레스는 와이어로프 인장강도의 0.6배 이하로 있어야 함이 제안될 수 있었다. 와이어로프 단위로 보강된 연속 T형 보의 전단내력을 평가하기 위하여 상계치 이론을 이용한 수치해석 모델이 제시되었다. 제시된 수치해석 모델은 ACI 318-05의 전단내력 식에 비해 실험 결과와 잘 일치하였다.