• Title/Summary/Keyword: t-z 곡선

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Model Tests of Pile Groups in Sand (실내모형실험을 통한 군말뚝기초의 거동분석)

  • 정상훈;정상섬
    • Journal of the Korean Geotechnical Society
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    • v.17 no.6
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    • pp.193-205
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    • 2001
  • In this study the behavior of pile groups is investigated experimentally. Special attention is given to the load transfer characteristics of pile groups and to the evaluation of the group effects under vertical and horizontal loadings. In the laboratory experiments, vertical and lateral loadings were imposed on model piles in sand. Model piles made of PVC embedded in Joomoonjin sand were used in this study. Pile arrangements($2\times2,\; 3\times3$) and pile spacings(2.5D, 5.OD, 7.5D) were considered. Load-transfer curves(t-z, q-z and p-y curves), load-deflection curves and group interaction factors were obtained from the experimental results. The group interaction factors under both vertical and horizontal loadings were proposed for the cases of $2\times2\; and\; 3\times3$ pile groups with varying ratios of pile spacings. p-multipliers in this study were found for the individual piles in $2\times2\; and\; 3\times3$ pile groups.

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Computing Planar Curve Offset Based on Surface/Surface Intersection (교차곡선 연산을 이용한 평면 곡선의 오프셋 계산)

  • 최정주
    • Korean Journal of Computational Design and Engineering
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    • v.3 no.2
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    • pp.127-134
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    • 1998
  • This paper presents d new algorithm to compute the offlet curve of a given planar parametric curve. We reduce the problem of computing an offset curve to that of intersecting a surface to a paraboloid. Given an input curve C(t)=(x(t), y(t))∈R², the corresponding surface D/sub c(t)/ is constructed symbolically as the envelope surface of a one-parameter family of tangent planes of the paraboloid Q:z=x²+y²along a lifted curve C(t)=(x(t), y(t), x(t)²+y(t)²∈Q. Given an offset distance d∈R, the offset curve C/sub d/(t) is obtained by the projection of the intersection curve of D/sub c(t)/ and a paraboloid Q:z=x²+y²-d² into the xy-plane.

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Proposed Shear Load-transfer Curves for Prebored and Precast Steel Piles (강관 매입말뚝의 주면 하중전이 곡선(t-z) 제안)

  • Kim, Do-Hyun;Park, Jong-Jeon;Chang, Yong-Chai;Jeong, Sang-Seom
    • Journal of the Korean Geotechnical Society
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    • v.34 no.12
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    • pp.43-58
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    • 2018
  • In this study, the load-transfer behavior along the shaft of the prebored and precast piles was investigated by pile loading tests. Special attention was given to quantifying the skin frictions developed between the pile-soil interfaces of the 14 instrumented test piles. Based on this detailed field tests, the load - settlement curves and axial load distributions of piles were obtained and the load-transfer curves (t-z curves) for the test piles were proposed. As such, it is found that the test results show two different load transfer behaviors; ductile and brittle behavior curves. The corresponding t-z curves are proposed based on the hyperbolic- and sawtooth-shape, respectively. By validating the accuracy of the proposed curves, it is also found that the prediction results based on the proposed load-transfer curve are in good agreement with the general trends observed by the field loading tests.

Estimation of the Survival Rate in Fish Population -Mackerel and Horse Mackerel in the Coastal Waters of Korea- (어획대상 어류의 생잔율 추정 -한국 연안의 고등어, 전갱이-)

  • SHIN Sang-Taek
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.14 no.4
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    • pp.253-259
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    • 1981
  • A study was made to find out a new method of calculating the survival rate of a fish population from length composition and growth equation. 1. In the steady state of the fish population, let the total mortality rate be z, the age of complete recruitment a, the oldest age in the catch b and the average between the age of complete recruitment and the oldest age in the catch Ut, then we have $$U_{t}\;=\;\frac{a-b\;{e xp}\{-z(b-a)\}}{1-\;{e xp}\{-z(b-a)\}}+\frac{1}{z}{\cdots}{\cdots}{\cdots}{\cdots}{\cdots}$$(1) And let b be infinite, then we obtain $$Z=\frac{1}{U_t-a}{\cdots}{\cdots}{\cdots}{\cdots}{\cdots}{\cdots}$$ (2) 2. Calculating numerical value of $U_t$ from age composition table and growth equation, and substitute in (1) for it, we may obtain the value of z and $e^{-z}$. 3. This method is applied to a case of mackerel and horse mackerel in the coastal waters of Korea, with the following results : Total mortality rate-Mackerel : 0.87909, Horse mackerel : 2.22327, Survival rate-Mackerel : 0.41516, Horse Mackerel : 0.10825, 95 percent confidence Interval of survival rate-Mackerel : $0.35966{\sim}0.47264$, Horse mackerel : $0.06897{\sim}0.14974$

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Analysis of Skin Friction Behavior in Prebored and Precast Piles Based on Field Loading Test (재하시험을 통한 매입말뚝의 주면마찰력 거동 분석)

  • Jung, Gyoung-Ja;Kim, Do-Hyun;Lee, Chul-Ju;Jeong, Sang-Seom
    • Journal of the Korean Geotechnical Society
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    • v.33 no.1
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    • pp.31-38
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    • 2017
  • Skin friction of prebored and precast pile may be one of the most critical factors affecting the bearing capacity and settlement. Special attention was given to the interface behavior of pile-cement milk-surrounding soil when the load is acting on the prebored and precast pile. The cases of single pile were analyzed through a three-dimensional finite element approach and pile loading tests. A series of numerical analyses of the interface of pile-cement milk-soil was conducted with the proposed t-z curve and field measurements. It is shown that the use of cement milk around the pile increases the skin friction and reduces the pile settlement. It is also known that the suggested t-z curve between the cement milk and the soil, enhances the accuracy of the numerical analysis results.

Computing Intersection between Freeform Surfaces (자유곡면 간의 교차곡선 계산)

  • Kim, Ku-Jin;Seong, Joon-Kyung;Kim, Myung-Soo
    • Journal of the Korea Computer Graphics Society
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    • v.10 no.3
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    • pp.28-33
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    • 2004
  • 본 논문에서는 자유곡면 간의 교차곡선이 갖는 위상 구조를 분석하는 방법을 제시하며, 또한 이를 이용하여 교차곡선을 효율적이고 안정적으로 계산하는 알고리즘을 제안한다. 자유곡면 간의 교차곡선 계산은 현재까지 난문제로 알려져 있으며, 그러한 가장 큰 원인 중의 하나로서 교차곡선의 위상 구조를 분석하기 어렵다는 점을 들 수 있다. 본 논문에서는 입력으로 주어지는 자유곡면 중의 하나가 매개변수 곡면 F(u, v) 이라는 가정 하에 음함수 곡면 g(x, y, z) = 0 과의 교차곡선, 그리고 또 다른 매개변수 곡면 G(s, t)와의 교차곡선 계산방법을 제시한다. 교차곡선은 uv-평면 상의 평면 곡선으로 고려되며, 이 평면곡선에서 u-방향에 대한 극점(critical point)을 먼저 계산한 뒤 이를 이용하여 위상구조를 분석한다. 또한, 분석된 위상구조를 기반으로 전체 교차곡선을 추적(tracing)하는 알고리즘을 제시한다.

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Analysis of Piled Piers Considering Riverbed Scouring (교각세굴을 고려한 말뚝기초의 해석)

  • Jeong, Sang-Seom;Suh, Jung-Ju;Won, Jin-Oh
    • Journal of the Korean Geotechnical Society
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    • v.18 no.3
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    • pp.43-50
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    • 2002
  • This paper describes a simplified numerical procedure for analyzing the response of bridge pier foundations due to riverbed scouring. A computationally efficient algorithm to analyze the behavior of a pile group is proposed by considering soil-pile, pile-cap, and pile-fluid interactions. The complex phenomenon of the pile-soil interaction is modeled by discrete nonlinear soil springs (p-y, t-z and q-z curves). The pile-cap interaction is considered by geometric configuration of the piles in a group and connectivity conditions between piles and the cap. The pile-fluid interaction is incorporated into the procedure by reducing the stiffness of the soil-pile reactions as a result of nonlinearity and degradation of the soil stiffness with river bridge scouring. Through the numerical study, it is shown that the maximum bending moment increases with increasing scour depth. Thus it is desirable to check the stability elf pile groups based on soil-pile and pile-cap interactions by considering scouring depth in the riverbed.

ESTIMATION OF THE SURVIVAL RATE IN FISH POPULATION FROM THE LENGTH COMPOSITION AND THE GROWTH EQUATION1 (체장조성과 성장곡선식에서 생잔율을 추정하는 방법)

  • SHIN Sang Taek
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.10 no.2
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    • pp.137-143
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    • 1977
  • A study has been made to find out a new method of calculating the survival rate of a fish population from length composition and growth equation. 1. In the steady state of the fish population, let the total mortality rate be z, the age of complete recruitment $\alpha$, and the number of $\chi$ year class $N_\chi$. Then ire obtain $$N\chi=N\alpha\;\exp\;{-z(\chi-\alpha)}$$ Let the oldest age in the catch be h, the average age between the age of complete recruitment and the oldest age in the catch $U\chi$. Then we have $$U\chi=\frac{a-b\;\exp\;(-z(b-a))}{1-\exp\;(-z(b-a))}+\frac{1}{z}....(1)$$ and then let be infinite. Then we obtain $$Z=\frac{1}{U\chi-\alpha....(2)$$ 2. Calculating numerical value of $U\chi$ from age composition table and growth equation and substitute in (1) or (2) for it, we may obtain the value of s and $\varrho^{-z}$. 3. This method is applied t a case of yellow croaker in the Yellow Sea and the East China Sea. The results are as follows: Total mortality rate 0.82595 Survival rate 0.43782 95 percent confidence interval 0.43767-0.43797.

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