• Title/Summary/Keyword: 3차 모멘트

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Analysis of Higher Temporal Moments for Breakthrough Curves of Volatile Organic Compounds in Unsaturated Soil (불포화 토양에서 유동하는 가스상 Volatile Organic Compounds의 출현곡선에 대한 고차 Temporal Moment의 분석)

  • Kim, Heon-Ki
    • Journal of Soil and Groundwater Environment
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    • v.12 no.6
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    • pp.60-69
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    • 2007
  • Understanding the behavior of gas phase VOCs (volatile organic compounds) in unsaturated soils is of a great environmental importance for public health concerns. Moment analysis for the breakthrough curves (BTCs) during transport of chemicals in porous media was known to be a useful tool to evaluate the velocity, spreadness, and the skewness of the plume of the chemicals. In this study, the temporal moments of the BTCs of a group of VOCs were analyzed for the gaseous transport in an unsaturated soil. BTCs were measured using lab-scale column experiments for four different VOCs at the water saturation range of 0.04-0.46, and for eleven VOCs at a water saturation of 0.21. The central second and third moments of the VOCs were compared with the water saturation and the first moment. It was found that both central second and third moments increased with the first moment. The central third moment was, however, found to be more sensitive to the first moment.

SCS Curve Number and temporal Variation of Rainfall (강우의 시간분포를 고려한 CN값 산정)

  • Cho, Hong-Je;Lee, Tae-Young
    • Journal of Korea Water Resources Association
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    • v.36 no.2
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    • pp.183-193
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    • 2003
  • A relation between the temporal variation of rainfall and direct runoff was characterized using temporal indexes of rainfall(1st, 2nd, 3rd, and 4th moment). Curve Number has a relation with 1st and 2nd moment for AMCIII condition when the rainfall duration is relative (10th quantile). Also peak runoff ratio(QP/Q) has a relation with 1st and End moment for AMCIII condition as well as 3rd and 4th moment for AMC I condition. Considering all durations of rainfall, alternatively, Curve Number has a relation with 1st and 2nd moment for AMCIIIcondition besides every moments for AMC I condition. But peak runoff ratio(QP/Q) has few relations excepting 3rd and 4th moment for AMC I condition. As a results, temporal indexes of rainfall are useful to determine curve numbers regarding the temporal variation of rainfall.

Detection of Main Components of Heart Sound Using Third Moment Characteristics of PCG Envelope (심음 포락선의 3차 모멘트를 이용한 심음의 주성분 검출)

  • Quan, Xing-Ri;Bae, Keun-Sung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.12
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    • pp.3001-3008
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    • 2013
  • To diagnose the cardiac valve abnormalities using analysis of phonocardiogram, first of all, accurate detection of S1, S2 components is needed for heart sound segmentation. In this paper, a new method that uses the third moment characteristics of an envelope of the PCG is proposed for accurate detection of S1 and S2 components of the heart sound with cardiac murmurs. The envelope of the PCG is obtained from the short-time energy profile, and its third moment profile with slope information is used for accurate time gating of the S1, S2 components. Experimental results have shown that the proposed method is superior to the conventional second moment method for detection of S1 and S2 regions from the heart sound signals with cardiac murmurs.

Investigation on the Effective Moment of Inertia of Reinforced Concrete Flexural Members Under Service Load (사용하중 상태에서 철근콘크리트 휨부재의 유효 단면2차모멘트에 대한 고찰)

  • Lee, Seung-Bea;Park, Mi-Young;Jang, Su-Youn;Kim, Kang-Su;Kim, Sang-Sik
    • Journal of the Korea Concrete Institute
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    • v.20 no.3
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    • pp.393-404
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    • 2008
  • The approaches in many design codes for the estimation of the deflection of flexural reinforced concrete (RC) members utilize the concept of the effective moment of inertia which considers the reduction of flexural rigidity of RC beams after cracking. However, the effective moment of inertia in design codes are primarily based on the ratio of maximum moment and cracking moment of beam subjected to loading without proper consideration on many other possible influencing factors such as span length, member end condition, sectional size, loading geometry, materials, sectional properties, amount of cracks and its distribution, and etc. In this study, therefore, an experimental investigation was conducted to provide fundamental test data on the effective moment of inertia of RC beams for the evaluation of flexural deflection, and to develop a modified method on the estimation of the effective moment of inertia based on test results. 14 specimens were fabricated with the primary test parameters of concrete strength, cover thickness, reinforcement ratio, and bar diameters, and the effective moments of inertia obtained from the test results were compared with those by design codes, existing equations, and the modified equation proposed in this study. The proposed method considered the effect of the length of cracking region, reinforcement ratio, and the effective concrete area per bar on the effective moment of inertia, which estimated the effective moment of inertia more close to the test results compared to other approaches.

Effective Moment of Inertia of Flexural Members Based on the Concrete Stress-Strain Curve in EC-2 (EC-2의 콘크리트 응력-변형률 곡선에 기반한 휨부재의 유효단면2차모멘트)

  • Yum, Hwan-Seok;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.28 no.6
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    • pp.655-663
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    • 2016
  • The present study shows the moment-average curvature relationship and effective inertia moment of RC beams obtained from the nonlinear analysis based on the parabola-rectangular stress-strain curve defined in EC-2 code. The variables examined are concrete strength and steel ratio, and moment-average curvature relationship and effective inertia moment obtained are compared with those of the current KCI provisions. As the results of the comparison, the followings could be said: Since the KCI provisions(the Branson method) were originally derived based on the experimental data ranged from 2.2 to 4 of $M/M_{cr}$ and 1.3 to 3.5 of $I_{ut}/I_{cr}$, thereby within these ranges the inertia moments obtained from the nonlinear analysis are closely agreed with those predicted by the Branson method. However, beyond those range the remarkable difference could be found between the two results. In particular, for beams having low steel ratio the inertia moment resulted from the nonlinear analysis are significantly smaller than those obtained from the KCI(Branson) method. This result may imply that the deflection of lightly reinforced members, such as slabs in buildings, becomes much larger than those calculated according to the current design provisions.

Evaluation of Characteristics of Simulated Extreme Rainfall Obtained from NSRP model under Different Object Functions (목적함수에 따른 다지점 NSRP 모형의 극치강우 재현능력 평가)

  • Cho, Hemie;Yu, Jae-Ung;Moon, Jangwon;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.363-363
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    • 2021
  • 수자원설계 및 계획 시 제한된 강우자료로 인해 나타나는 한계를 개선하기 위한 목적으로 추계학적 강수모의 모형을 활용한다. 대표적인 추계학적 강수모형으로 Bartlett-Lewis Rectangular Pulse Modified Model(BLPRM)과 Neyman-Scott Rectangular Pulse Model(NSRPM) 등이 활용되고 있으며, 관측강수량의 통계적 모멘트를 재현할 수 있도록 모형 매개변수를 최적화하는 과정이 필수적으로 요구된다. 기본적으로 모형 매개변수들의 조합을 통해 추정되는 통계적 모멘트와 관측값의 통계적 모멘트를 반복적으로 비교하면서 최적 매개변수를 추정하게 된다. 그러나 상대적으로 적은 관측값을 이용하여 매개변수를 추정하기 때문에, 매개변수 추정이 어려울 뿐만 아니라 매개변수의 불확실성도 큰 특징을 가지고 있다. 모형 매개변수 추정과정에서 다양한 목적함수가 활용되고 있으나, 고려되는 통계적 모멘트가 평균 및 분산 등 2차 모멘트에 제한되고 있어 극치강수량에 대한 재현성은 상대적으로 부족한 부분이 있다. 본 연구에서는 3차 모멘트를 포함한 목적함수를 활용하여 NSRP모형 매개변수를 추정하고, 기존 2차 모멘트를 이용한 매개변수 접근방법과 극치강수량 재현 측면에서 비교를 수행하였다. 최종적으로 유역 단위에서 극치강수량 재현효과를 평가하기 위해서는 면적강수량 추정이 매우 중요하며, 본 연구에서는 이러한 점을 감안하여 강우 지점 간의 상관성을 유지하면서 강우모의가 가능한 다지점 NSRP 모형과 연계하여 극치강우 재현 가능성을 평가하였다.

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Human Eye Detection using Skin Color and Moments (피부색과 모멘트를 이용한 눈 영역 검출)

  • Seo, Duck-Won;Yun, Kug-Jin;Kim, Dae-Jung;Kwak, Hoon-Sung
    • Proceedings of the Korea Information Processing Society Conference
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    • 2001.04a
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    • pp.143-146
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    • 2001
  • 본 논문에서는 칼라 영상으로부터 피부색 정보 및 모멘트를 이용하여 눈 영역 및 얼굴 영역을 검출하는 알고리즘을 제안한다. 제안한 알고리즘은 눈 영역을 추출함으로써 보다 정확한 얼굴 영역을 검출할 수 있다. 이를 위해 먼저 입력된 칼라 영상의 피부색 정보를 기반으로 추출한 영역으로부터 레이블 영역의 면적과 크기 정보를 이용해 1차, 2차 얼굴 후보 영역을 선택하고 선택된 얼굴 후보 영역간의 기울기 모멘트를 계산하여 3차 얼굴 후보 영역을 추출한다. 또한 추출한 3차 후보 영역으로부터 레이블 영역의 크기 및 구조적 관계를 고려하여 영역 내에서의 눈의 위치를 검출한다. 따라서 제안한 방법은 눈의 기울기 관계를 이용함으로써 얼굴의 크기와 얼굴이 좌우로 기울어진 영상에 대하여 강인한 얼굴 검출 능력을 보인다.

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P-△ Analysis for Design of Reinforced Concrete Slender Columns (철근 콘크리트 장주 설계를 위한 P-△ 해석)

  • Lee, Jae Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4_1
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    • pp.87-96
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    • 1992
  • Moment Magnifier Method has been generally used in estimation of total column moment induced by geometric nonlinearity for reinforced concrete slender column design, however second order analysis such as P-${\Delta}$ method has been recommended by Code for better result. Member stiffness estimation is the most significant factor for accuracy of second order analysis. Equivalent Column stiffness based on theoretically obtained moment-curvature-thrust relationship has been proposed and the analytical results of the proposed method, MacGregor-Hage Method, Furlong's Method, and Moment Magnifier Method are compared with experimentally obtained data.

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Structure Reliability Analysis using 3rd Order Polynomials Approximation of a Limit State Equation (한계상태식의 3차 다항식 근사를 통한 구조물 신뢰도 평가)

  • Lee, Seung Gyu;Kim, Sung Chan;Kim, Tea Uk
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.3
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    • pp.183-189
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    • 2013
  • In this paper, uncertainties and failure criteria of structure are mathematically expressed by random variables and a limit state equation. A limit state equation is approximated by Fleishman's 3rd order polynomials and the theoretical moments of an approximated limit state equation are calculated. Fleishman introduced a 3rd order polynomial in terms of only standard normal distiribution random variables. But, in this paper, Fleishman's polynomial is extended to various random variables including beta, gamma, uniform distributions. Cumulants and a normalized limit state equation are used to calculate a theoretical moments of a limit state equation. A cumulative distribution function of a normalized limit state equation is approximated by a Pearson system.

Face Recognition Using First Moment of Image and Eigenvectors (영상의 1차 모멘트와 고유벡터를 이용한 얼굴인식)

  • Cho Yong-Hyun
    • Journal of Korea Multimedia Society
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    • v.9 no.1
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    • pp.33-40
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    • 2006
  • This paper presents an efficient face recognition method using both first moment of image and eigenvector. First moment is a method for finding centroid of image, which is applied to exclude the needless backgrounds in the face recognitions by shitting to the centroid of face image. Eigenvector which are the basis images as face features, is extracted by principal component analysis(PCA). This is to improve the recognition performance by excluding the redundancy considering to second-order statistics of face image. The proposed methods has been applied to the problem for recognizing the 60 face images(15 persons *4 scenes) of 320*243 pixels. The 3 distances such as city-block, Euclidean, negative angle are used as measures when match the probe images to the nearest gallery images. In case of the 45 face images, the experimental results show that the recognition rate of the proposed methods is about 1.6 times and its the classification is about 5.6 times higher than conventional PCA without preprocessing. The city-block has been relatively achieved more an accurate classification than Euclidean or negative angle.

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