• Title/Summary/Keyword: rational method

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A Study on Hydrologic Analysis and Some Effects of Urbanization on Design Flow of Urban Storm Drainage Systems (1) (도시 하수도망의 수문학적인 평가와 설계확률유량의 점대화 성향에 관한 연구(제1보))

  • 강관원;서병하;윤용남
    • Water for future
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    • v.14 no.4
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    • pp.27-34
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    • 1981
  • The design flow of the urban strom drainage systems has been assessed largely on a basis of empirical relations between rainfall and runoff, and the rational formula has been widely used for the cities in our country. In order to estimate it more accurately, the urban runoff simulation model based on the RRl method has been developed and applied to the sample basin in this study. The rainfall hyetograph of the design stromfor the design flow has been obtained by the determination of the total rainfall and the temporal distributions of that rainfall. The total rainfall has been assessed from the empirical formula of rainfall intensity and the temporal distribution of that rainfall determined on the basis of Huff's method from the historical rainfall data of the basin. The virtual inflow hydrograph to each inlet of the basin has been constructed by computing the series of discharges in each time increment, using design strom hyetograph and time-area diagram. The actual runoff hydrograph at the basin outlet has been computed from the virtual inflow hydrographs by developing a relations between discharge and storage for the watershed. The discharge data for verification of the simulated runoff hydrograph are not available in the sample basin and so the sensitivity analysis of the simulation model has not been possible. The peak discharge for the design of drainage systems has been estimated from the computed runoff hydrograph at the basin outlet and compared to thatl obtained form the rational formula.

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Computational Approach for the Analysis of Post-PKS Glycosylation Step

  • Kim, Ki-Bong;Park, Kie-Jung
    • Genomics & Informatics
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    • v.6 no.4
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    • pp.223-226
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    • 2008
  • We introduce a computational approach for analysis of glycosylation in Post-PKS tailoring steps. It is a computational method to predict the deoxysugar biosynthesis unit pathway and the substrate specificity of glycosyltransferases involved in the glycosylation of polyketides. In this work, a directed and weighted graph is introduced to represent and predict the deoxysugar biosynthesis unit pathway. In addition, a homology based gene clustering method is used to predict the substrate specificity of glycosyltransferases. It is useful for the rational design of polyketide natural products, which leads to in silico drug discovery.

A RECURRENCE RELATION FOR THE JONES POLYNOMIAL

  • Berceanu, Barbu;Nizami, Abdul Rauf
    • Journal of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.443-462
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    • 2014
  • Using a simple recurrence relation, we give a new method to compute the Jones polynomials of closed braids: we find a general expansion formula and a rational generating function for the Jones polynomials. The method is used to estimate the degree of the Jones polynomials for some families of braids and to obtain general qualitative results.

A Suggestion on the Subsidy System to Promote the Construction of Urban Rail Transit (도시철도 건설확충을 위한 국고지원체제)

  • Lee, Chang-Woon
    • Proceedings of the KSR Conference
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    • 2003.10b
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    • pp.46-51
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    • 2003
  • The government's financial subsidy system for the construction project of urban rail transit needs to be revised. In 1998, the central government raised its subsidy rate to 50$\%$ of the total cost of construction. The 'method for differentiating subsidies depending on construction type and transit System' is suggested here, so that a subsidy rate can be raised for the construction of Light Rail Transit, which costs less to construct. Such methods will force local governments to make decisions regarding construction method and project size in a more rational manner.

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UNIFICATION OF DESIGN AND CONSTRUCTION OF DEEP EXCAVATION

  • Lee, Seung-Rae
    • Proceedings of the Korean Geotechical Society Conference
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    • 1990.10a
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    • pp.163-175
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    • 1990
  • A main factor in the design of excavation in an urban area is the movements. The finite element method provides rational predictions of excavation behaviour, yet practical engineers may find difficulties in applying it to the actual field case. In this study, factors affecting the excavation behaviour are considered in details and the applicability of the finite element method to the actual field excavation cases is presented. Numerical examples are analyzed to provide results of parametric study on the affecting factors.

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Fundamental problems for an elastic plate weakened by a curvilinear hole

  • Dowaikh, M.A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.8 no.1
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    • pp.81-92
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    • 2004
  • Muskhelishvili's complex variable method has been applied to derive exact and closed expressions for Gaursat's functions for the first and second fundamental problems of the infinite plate weakened by a curvilinear hole which is conformally mapped on the domain outside the unit circle by means of rational mapping function. The hole having three poles. The previous work of the authers in this domain is considered as special cases of this work.

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CIRCLE APPROXIMATION USING PARAMETRIC POLYNOMIAL CURVES OF HIGH DEGREE IN EXPLICIT FORM

  • Ahn, Young Joon
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1259-1267
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    • 2022
  • In this paper we present a full circle approximation method using parametric polynomial curves with algebraic coefficients which are curvature continuous at both endpoints. Our method yields the n-th degree parametric polynomial curves which have a total number of 2n contacts with the full circle at both endpoints and the midpoint. The parametric polynomial approximants have algebraic coefficients involving rational numbers and radicals for degree higher than four. We obtain the exact Hausdorff distances between the circle and the approximation curves.

ON THE LINEAR INDEPENDENCE MEASURES OF LOGARITHMS OF RATIONAL NUMBERS. II

  • Abderraouf Bouchelaghem;Yuxin He;Yuanhang Li;Qiang Wu
    • Journal of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.293-307
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    • 2024
  • In this paper, we give a general method to compute the linear independence measure of 1, log(1 - 1/r), log(1 + 1/s) for infinitely many integers r and s. We also give improvements for the special cases when r = s, for example, ν(1, log 3/4, log 5/4) ≤ 9.197.

Designing a Decentralized Stormwater Management Corridor for a Flood-Prone Watershed using Surface Runoff Analysis (지표유출수 분석을 통한 상습침수유역의 분산식 우수관리통로 설계)

  • Lee, Seul;Lee, Yumi
    • Journal of the Korean Institute of Landscape Architecture
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    • v.43 no.3
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    • pp.13-26
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    • 2015
  • Many urban areas in Korea suffer from repeated flood damage during intensive rainfall due to an increase in impervious areas caused by rapid urbanization and deteriorating sewage systems. A centralized stormwater management system has caused severe flood damage in an area that has proven unable to accommodate recent climate change and a rise in precipitation. Most flooding prevention projects that have been recently implemented focus on increasing drainage system capacity by expanding the size of sewer pipes and adding pumping stations in downstream areas. However, such measures fail to provide sustainable solutions since they cannot solve fundamental problems to reduce surface runoff caused by urbanization across the watershed. A decentralized stormwater management system is needed that can minimize surface runoff and maximize localized retention capacity, while maintaining the existing drainage systems. This study proposes a stormwater management corridor for the flood-prone watershed in the city of Dongducheon. The corridor would connect the upstream, midstream, and downstream zones using various methods for reducing stormwater runoff. The research analyzed surface runoff patterns generated across the watershed using the Modified Rational Method considering the natural topography, land cover, and soil characteristics of each sub-watershed, as well as the urban fabric and land use. The expected effects of the design were verified by the retainable volume of stormwater runoff as based on the design application. The results suggest that an open space network serve as an urban green infrastructure, potentially expanding the functional and scenic values of the landscape. This method is more sustainable and effective than an engineering-based one, and can be applied to sustainable planning and management in flood-prone urban areas.

Isogeometric Analysis of Mindlin Plate Structures Using Commercial CAD Codes (상용 CAD와 연계한 후판 구조의 아이소-지오메트릭 해석)

  • Lee, Seung-Wook;Koo, Bon-Yong;Yoon, Min-Ho;Lee, Jae-Ok;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.3
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    • pp.329-335
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    • 2011
  • The finite element method (FEM) has been used for various fields like mathematics and engineering. However, the FEM has a difficulty in describing the geometric shape exactly due to its property of piecewise linear discretization. Recently, however, a so-called isogeometric analysis method that uses the non-uniform rational B-spline(NURBS) basis function has been developed. The NURBS can be used to describe the geometry exactly and play a role of basis functions for the response analysis. Nevertheless, constructing the NURBS basis functions in analysis is as costly as a meshing process in the FEM. Since the isogeometric method shares geometric data with CAD, it is possible to intactly import the model data from commercial CAD tools. In this paper, we use the Rhinoceros 3D software to create CAD models and export in the form of STEP file. The information of knot vectors and control points in the NURBS is utilized in the isogeometric analysis. Through some numerical examples, the accuracy of isogeometric method is compared with that of FEM. Also, the efficiency of the isogeometric method that includes the CAD and CAE in a unified framework is verified.