• Title/Summary/Keyword: normal distribution curve

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A Study on the Risk - based Local Normal CSOs Curve Designs (위험도 기반 지역별 정규 CSOs 곡선 설계에 관한 연구)

  • Jo Deok-Jun
    • Journal of Korea Water Resources Association
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    • v.39 no.7 s.168
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    • pp.575-581
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    • 2006
  • This paper presents a systematic approach for the economical design of stormwater quality control systems. For the design of runoff quality control system (RQCS), the rainfall-runoff process requires the local rainfall data recorded continuously. In this study the rainfall probability distribution is assumed to follow an exponential decay function. Applying the exponential decay function, the normalized curves are derived to explain the non-exceedance probability distributions. The optimal curves for the determination of the RQCS size are derived based on the overflow risk. Comparison of the optimal capture volume and peak runoff rate to those computed by an urban rainfall-runoff model(ILLUDAS) demonstrates that the optimal CSOs(Combined Sewer Overflows) curves derived in this study can be utilized for the design of stormwater quality control systems in Korea avoiding an excessive computational effort based on over flow risks.

Seismic Fragility of Underground Utility Tunnels (지하 공동구 시설물의 지진취약도 분석)

  • Lee, Deuk-Bok;Lee, Chang-Soo;Shin, Dea-Sub
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.5
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    • pp.413-419
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    • 2016
  • Damage of infrastructures by an earthquake causes the secondary damage through the world at large more than the damage of the structures themselves. Amomg them, underground utility tunnel structures comes under the special life line: communication, gas, electricity and etc. and it has a need to evaluate its fragility to an earthquake exactly. Therefore, the destruction ability according to peak ground acceleration of earthquakes for the underground utility tunnels is evaluated in this paper. As an input ground motion for evaluating seismic fragilities, real earthquakes and artificial seismic waves which could be generated in the Korean peninsula are used. And as a seismic analysis method, response displacement method and time history analyzing method are used. An limit state which determines whether destruction is based on the bending moment and shear deformation. A method used to deduct seismic fragility curve is method of maximum likelihood and the distribution function is assumed to the log normal distribution. It could evaluate the damage of underground utility tunnels to an earthquake and could be applied as basic data for seismic design of underground utility tunnel structures.

Simulation of Tsunamis in the East Sea Using Dynamically-Interfaced Multi-Grid Model (동적결합둥지형 모형에 의한 동해안 쓰나미 시뮬레이션)

  • Choi, Byung-Ho;Efim, Pelinovsky;Woo, Seung-Buhm;Lee, Jong-Woong;Mun, Jong-Yoon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.1
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    • pp.41-55
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    • 2003
  • A dynamically-interfaced multi-grid finite difference model for simulation of tsunamis in the East Sea(Choi et al.) was established and further applied to produce detailed feature of coastal inundations along the whole eastern coast of Korea. The computational domain is composed of several sub-regions with different grid sizes connected in parallel of inclined directions with 16 innermost nested models. The innermost sub-region represents the coastal alignment reasonably well and has a grid size of about 30 meters. Numerical simulations have been performed in the framework of shallow-water equations(linear, as well as nonlinear) over the plane or spherical coordinate system, depending on the dimensions of the sub-region. Results of simulations show the general agreements with the observed data of run-up height for both tsunamis. The evolution of the distribution function of tsunami heights is studied numerically and it is shown that it tends to the log-normal curve for long distance from the source.

Development of a Comprehensive Flood Index through Standardizing Distributions of Runoff Characteristics (유출특성 분포함수의 표준화를 통한 종합홍수지수의 개발)

  • Wi, Sung-Wook;Chung, Gun-Hui;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.41 no.6
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    • pp.605-617
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    • 2008
  • This study developed a flood index which evaluates runoff characteristics. Runoff characteristics expressed in a hydrograph were reflected in the flood index in the form of characteristic factors such as a rising curve gradient, a peak discharge, a flood response time, and a flood discharge volume prior to peak. This study applied the standardization method to estimate the relative severity of the characteristic factors by transforming the distribution of characteristic factors into the standard normal distribution. The flood index developed in this study is a comprehensive flood index (CFI) which makes up for the weak points of a flash flood index (FFI) in determining relative severities. The CFI was applied to Han River basin and Selma River basin, and was compared with the FFI based on the correlation analysis and the regression analysis. The CFI could comprehensively evaluate flood runoff characteristics because the CFI is not dominated by a specific characteristic factor, and the CFI could explain more efficiently the relationship between rainfall and runoff than the FFI.

A Case Study on the High-quality DCM applied to the Foundation of Breakwater (방파제 기초에 적용된 고품질 DCM공법의 설계 및 시공 사례)

  • Kang, Yeoun-Ike;Shim, Min-Bo;Shim, Sung-Hyun;Kim, Ha-Young;Shim, Jae-Bum;Chun, Youn-Chul;Yoon, Jung-Ik
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.815-826
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    • 2009
  • The paper presents a case study addressing the design and construction aspects for DCM(Deep Cement Mixing) method employed as the foundation of a caisson type breakwater with heavy weight(10,700 ton/EA) and a high design wave height($H_{1/3}$=8.7m). The DCM was designed for the project(Ulsan New Port North Breakwater Phase 1) by optimizing the pattern of DCM columns with a combination of short and long columns (i.e., block type(upper 3m)+wall type(lower)) and considering overlapped section between columns as a critical section against shear force where the coefficient of effective width of treated column($\alpha$) was estimated with caution. It was shown that the value can be 0.9 under the condition with the overlapped width of 30cm. In addition to that, a field trial test was performed after improving conventional DCM equipment (e.g., mixing blades, cement paste supplying pipes, multi auger motor, etc.) to establish a standardized DCM construction cycle (withdrawal rate of mixing blades) which can provide the prescribed strength. The result of the field strength test for cored DCM specimens shows that the averaged strength is larger than the target strength and the distribution of the strength(with a defect rate of 7%) also satisfies with the quality control normal distribution curve which allows defect rate of 15.9%.

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AUC and VUS using truncated distributions (절단함수를 이용한 AUC와 VUS)

  • Hong, Chong Sun;Hong, Seong Hyuk
    • The Korean Journal of Applied Statistics
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    • v.32 no.4
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    • pp.593-605
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    • 2019
  • Significant literature exists on the area under the ROC curve (AUC) and the volume under the ROC surface (VUS) which are statistical measures of the discriminant power of classification models. Whereas the partial AUC is restricted on the false positive rate, the two-way partial AUC is restricted on both the false positive rate and true positive rate, which could be more efficient and accurate than partial AUC. The two-way partial AUC was suggested as more efficient and accurate than the partial AUC. Partial VUS as well as the three-way partial VUS were also developed for the ROC surface. A proposed AUC is expressed in this paper with probability and integration using two truncated distribution functions restricted on both the false positive rate and true positive rate. It is also found that this AUC has a relation with the two-way partial AUC. The three-way partial VUS for the ROC surface is also related to the VUS using truncated distribution functions. These AUC and VUS are represented and estimated in terms of Mann-Whitney statistics. Their parametric and non-parametric estimation methods are explored based on normal distributions and random samples.

A Clinical Study of Headache in 58 Cases (두통(頭痛)의 임상양상(臨床樣狀) 및 생체전기자율반응에 대(對)한 임상적(臨床的) 고찰(考察))

  • Lee Sang-Ryong;Kim Myung-Jin
    • Journal of Oriental Neuropsychiatry
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    • v.12 no.2
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    • pp.103-122
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    • 2001
  • The clinical study was carried out the 58 patients with Headache who were treated in Department of Neuropsychiatry, College of Oriental Medicine, Dae Jeon University from 14 October 1999 to 15 October 2001. The results were summarized as follows. 1. The ratio of male and female was 15:43, 40s(36.2%) was frequent, the ratio of Tension headache and Migraine was 43:12, hypernoia and overwork oneself were the most inducing factor. 2. In distribution of the period of the clinical history, Tension headache was comparatively short term within 1 month(62.8%) and Migraine was comparatively long term over 1 year(91.7%), Tension headache was frequent at whole portion(41.3%) and occipital portion(26.1%), Migraine was frequent at temporal portion(76.9%). 3. In pain type, Tension headache has many vandlike discomport type, Migraine has many pulsatile type, neck-stiffness-pain and dizziness were mainly coexited. 4. Toung aspect has many SULDAMHONGTAEBAEKHOO(舌淡紅苔白厚), GINMAEK(緊脈) and HEUNMAEK(弦脈) were frequent in Pulse type, the GAEDAMSUNKIJEETONG(祛淡順氣止痛) prescription drugs were frequent such as GEYNTONGA(肩痛A), GEYNTONGDODAMTANG(?通導淡湯), Tension headache patients were well treated(90.7%). 5. In Tension headache and Migraine, the Curve has many SL except Tension headache‘s 2th SANGHAN(상한), in Regulation RR was frequent at 1th, 2th, 3th, 4th, 7th SANGHAN and RL was frequent at 5th, 6th SANGHAN, the result of Graph, Activity and Reactivity have many low response at the whole. 6. The Curve was within normal limit at whole portion and frequent SL at temporal portion, the whole and temporal portion s Regulation also have many RR at 1th, 2th, 3th, 4th, 7th SANGHAN and RL at 5th, 6th SANGHAN, Activity and Reactivity have many low response at the whole. 7. The occipital and frontal portion‘s Curve have many SL at 1th SANGHAN, the occipital portion’s Regulation has many RR at 1th, 2th, 4th, 7th SANGHAN and RL at 5th, 6th SANGHAN, Activity has many low response at the whole, Reactivity has many low response at 1th, 4th, 5th, 6th SANGHAN and high response 2th, 3th SANGHAN, the frontal portion s Regulation has many RL at 1th, 3th, 5th, 6th, 7th SANGHAN and RR at 4th SANGHAN, Activity and Reactivity also have many low response at the whole except 6th, 7th SANGHAN respectively.

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Settling Characteristics of Natural Loess Particles in Seawater (해수 중에서 자연상태 황토입자의 침강특성)

  • KIM Sung-Jae
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.32 no.6
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    • pp.706-712
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    • 1999
  • PSD (particle size distribution) for 2,000 mg/$\ell$ natural loess in seawater showed normal distribution cure at 0 minute settling time, accompanying with very large particle distribution range with its mean particle diameter of 31.6 $\mu$m and coencient of variance of $72.6\%$, With elapsed time it showed that the PSD was rapidly changed from normal distribution cure to abnormal distribution curve, steepened the right-hand side of it and its coefficient of variance was getting increased because of rapid settling of large size particles, Cumulative weight distribution showed that 2,000 mg/$\ell$ natural loess in seawater was almost $100\%$ constituted of particles bigger than 20 $\mu$m in diameter. Ratio of $V_s/(D_{bm})^{1/2}$ for loess particles in seawater was increased with increase of particle size in geometrical progression. Almost all loess particles in seawater had Stokes settling velocity not less than 2,255 times of Brownian diffusion coefficient, There was almost to EDL (about 0.4 nm) around natural loess particles in seawater, Thus, there was always LVDW attractive force between loess particles approaching each other in seawater, and almost no EDL repulsive force. Loess particles were not always in the condition of easy floe formation. Concentration of natural loess in seawater increasing from 400 mg/$\ell$ to 10,000 mg/$\ell$, characteristics of the settling was changed from Type I settling (discrete settling) to Type II settling (flocculation settling). PVD (particle volume distribution) showed that natural loess particles in seawater were largely constituted of two types of particles, such as rapidly settling particles and suspended and dispersed particles for a long time. Amount of the latter was much less than that of the former.

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Seismic Fragility Analysis of RC Bridge Piers in Terms of Seismic Ductility (철근콘크리트 교각의 연성 능력에 따른 지진취약도)

  • Chung, Young-Soo;Park, Chang-Young;Park, Ji-Ho
    • Journal of the Korea Concrete Institute
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    • v.19 no.1
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    • pp.91-102
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    • 2007
  • Through lessons in recent earthquakes, the bridge engineering community recognizes the need for new seismic design methodologies based on the inelastic structural performance of RC bridge structures. This study represents results of performance-based fragility analysis of reinforced concrete (RC) bridge. Monte carlo simulation is performed to study nonlinear dynamic responses of RC bridge. Two-parameter log-normal distribution function is used to represent the fragility curves. These two-parameters, referred to as fragility parameters, are estimated by the traditional maximum likelihood procedure, which is treated each event of RC bridge pier damage as a realization of Bernoulli experiment. In order to formulate the fragility curves, five different damage states are described by two practical factors: the displacement and curvature ductility, which are mostly influencing on the seismic behavior of RC bridge piers. Five damage states are quantitatively assessed in terms of these seismic ductilities on the basis of numerous experimental results of RC bridge piers. Thereby, the performance-based fragility curves of RC bridge pier are provided in this paper. This approach can be used in constructing the fragility curves of various bridge structures and be applied to construct the seismic hazard map.

A Reliability Analysis of Shallow Foundations using a Single-Mode Performance Function (단일형 거동함수에 의한 얕은 기초의 신뢰도 해석 -임해퇴적층의 토성자료를 중심으로-)

  • 김용필;임병조
    • Geotechnical Engineering
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    • v.2 no.1
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    • pp.27-44
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    • 1986
  • The measured soil data are analyzed to the descriptive statistics and classified into the four models of uncorrelated-normal (UNNO), uncorrelated-nonnormal (VNNN), correlatedonnormal(CONN), and correlated-nonnormal(CONN) . This paper presents the comparisons of reliability index and check points using the advanced first-order second-moment method with respect to the four models as well as BASIC Program. A sin91e-mode Performance function is consisted of the basic design variables of bearing capacity and settlements on shallow foundations and input the above analyzed soil informations. The main conclusions obtained in this study are summarized as follows: 1. In the bearing capacity mode, cohesion and bearing-capacity factors by C-U test are accepted for normal and lognormal distribution, respectively, and negatively low correlated to each other. Since the reliability index of the CONN model is the lowest one of the four model, which could be recommended a reliability.based design, whereas the other model might overestimate the geotechnical conditions. 2. In the case of settlements mode, the virgin compression ratio and preccnsolidation pressure are fitted for normal and lognormal distribution, respectively. Constraining settlements to the lower ones computed by deterministic method, The CONN model is the lowest reliability of the four models.

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