• Title/Summary/Keyword: Series solution

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Impedance Calculation for Electric Railway System using modified Carson's Method (Modified Carson's Method를 이용한 전차선로의 Impedance 계산)

  • LEE Chunbae;KIM Wanggon;LEE Jongwoo
    • Proceedings of the KIEE Conference
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    • summer
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    • pp.1403-1405
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    • 2004
  • The method proposed by Carson contains indefinite complex integral which simulates earth return current. Although the Carson solution is proposed with power series, the solution is limited and valid at special range of frequency. We proposed a simplified Carson solution by modelling earth current path analytical method using ground transmission line return current. In this paper, we studied on trying to find the equivalent distance for earth current return path.

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Analysis for A Partial Distribution Loaded Orthotropic Rectangular Plate with Various Boundary Condition (다양한 경계조건에서 부분 분포 하중을 받는 이방성 사각평판 해석)

  • See, Sangkwang
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.22 no.5
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    • pp.13-22
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    • 2018
  • In this study, a governing differential equation for the bending problem of orthotropic rectangular plate is drived. It's exact solution for various boundary conditions is presented. This solution follows traditional method like Navier's solution or Levy's solution that transforms the governing differential equation into an algebraic equation by using trigonometric series. To obtain a solution by Levy's method, it is required that two opposite edges of the plate be simply supported. And the boundary conditions, for which the Navier's method is applicable, are simply supported edge at all edges. In this study, it overcomes the limitations of the previous Navier's and Levy's methods.This solution is applicable for any combination of boundary conditions with simply supported edge and clamped edge in x, y direction. The plate could be subjected to uniform, partially uniform, and line loads. The advantage of the solution is that it is the exact solution as well as it overcomes the limitations of the previous Navier's and Levy's methods. Calculations are presented for orthotropic plates with nonsymmetric boundary conditions. Comparisons between the result of this paper and the result of Navier, Levy and Szilard solutions are made for the isotropic plates. The deflections were in excellent agreement.

Safety study on Genetic Toxicity of Cervi Pantotrichum Cornu Herbal acupuncture Solution(CPCHA) (유전독성시험에 의한 녹용약침의 안전성 연구)

  • Seo, Bu-Il;Byun, Boo-Hyeong
    • The Korea Journal of Herbology
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    • v.20 no.2
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    • pp.1-6
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    • 2005
  • Objectives : The purpose of this study is to investigate genetic toxicity of Cervi pantotrichum Cornu herbal acupuncture solution(CPCHA). Methods : In this study, a series of investigation have been carried out to analyze the effects of Cervi pantotrichum Cornu herball acupuncture solution(CPCHA) on colony forming ability of NIH3T3cells, Hela cells and adrenorectal coloncell for genetic toxicity test. Results and Conclusions : From the above results, it is suggested that Cervi pantotrichum Cornu herball acupuncture solution(CPCHA) was limited 0.5-10ug/ml by test. Cervi pantotrichum Cornu herball acupuncture solution(CPCHA) did not exert the protective role to the genetic toxicity in kinds of cell lines used in this study. From these results, Cervi pantotrichum Cornu herbal aqua-acupuncture solution needs further study to prove it's function in cell culture system.

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Effects of Interferents in Blood on the Blood Glucose Measurements by Using the New Type of Phosphazene Diagnostic Membranes (혈액 내 장애성분이 새로운 형태의 포스파젠 진단막을 이용한 혈당 측정에 미치는 영향)

  • Kwon, Suk-Ky
    • Membrane Journal
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    • v.25 no.3
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    • pp.239-247
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    • 2015
  • The new types of phosphazene diagnostic membranes have been prepared for blood glucose measurements. The possible interferents in human blood were sorted into 4 different series and their effects on the glucose measurements were examined. In case of series I which indicates the lowest concentration, most of them did not show any serious effects on the blood glucose measurements, but only ascorbic acid (AA) showed 5~8% higher values compared to K/S values of the standard solution. In case of series II, all of four interferents showed 3~4% lower K/S values than those of plasma, but they showed consistent values by concentration variation. In case of series III, all of three interferents did not show any big differences compared to the standard solution. In case of series IV which indicates the highest concentration, two interferents showed 11~15% lower K/S values than the standard values, however they did not any serious effect on the blood glucose measurements.

A Fourier Series Approximation for Deep-water Waves

  • Shin, JangRyong
    • Journal of Ocean Engineering and Technology
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    • v.36 no.2
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    • pp.101-107
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    • 2022
  • Dean (1965) proposed the use of the root mean square error (RMSE) in the dynamic free surface boundary condition (DFSBC) and kinematic free-surface boundary condition (KFSBC) as an error evaluation criterion for wave theories. There are well known wave theories with RMSE more than 1%, such as Airy theory, Stokes theory, Dean's stream function theory, Fenton's theory, and trochodial theory for deep-water waves. However, none of them can be applied for deep-water breaking waves. The purpose of this study is to provide a closed-form solution for deep-water waves with RMSE less than 1% even for breaking waves. This study is based on a previous study (Shin, 2016), and all flow fields were simplified for deep-water waves. For a closed-form solution, all Fourier series coefficients and all related parameters are presented with Newton's polynomials, which were determined by curve fitting data (Shin, 2016). For verification, a wave in Miche's limit was calculated, and, the profiles, velocities, and the accelerations were compared with those of 5th-order Stokes theory. The results give greater velocities and acceleration than 5th-order Stokes theory, and the wavelength depends on the wave height. The results satisfy the Laplace equation, bottom boundary condition (BBC), and KFSBC, while Stokes theory satisfies only the Laplace equation and BBC. RMSE in DFSBC less than 7.25×10-2% was obtained. The series order of the proposed method is three, but the series order of 5th-order Stokes theory is five. Nevertheless, this study provides less RMSE than 5th-order Stokes theory. As a result, the method is suitable for offshore structural design.

Accuracy evaluation of 3D time-domain Green function in infinite depth

  • Zhang, Teng;Zhou, Bo;Li, Zhiqing;Han, Xiaoshuang;Gho, Wie Min
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.13 no.1
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    • pp.50-56
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    • 2021
  • An accurate evaluation of three-dimensional (3D) Time-Domain Green Function (TDGF) in infinite water depth is essential for ship's hydrodynamic analysis. Various numerical algorithms based on the TDGF properties are considered, including the ascending series expansion at small time parameter, the asymptotic expansion at large time parameter and the Taylor series expansion combines with ordinary differential equation for the time domain analysis. An efficient method (referred as "Present Method") for a better accuracy evaluation of TDGF has been proposed. The numerical results generated from precise integration method and analytical solution of Shan et al. (2019) revealed that the "Present method" provides a better solution in the computational domain. The comparison of the heave hydrodynamic coefficients in solving the radiation problem of a hemisphere at zero speed between the "Present method" and the analytical solutions proposed by Hulme (1982) showed that the difference of result is small, less than 3%.

Adsorption Mechanism of Solid Acid in Nonaqueous Solution (固體酸의 非水溶液에서의 吸着메카니즘에 관한 硏究)

  • Kwun, Oh-Cheun
    • Journal of the Korean Chemical Society
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    • v.9 no.4
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    • pp.185-189
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    • 1965
  • Korean acid clays and silica gel were put into action on benzene solution of dye, such as aniline yellow, o-nitro aniline and oil orange, and then the adsorptivity of dye in nonaqueous solution was measured, with the result that adsorptivity was greater with silica than acid clays and it had no relation to acidity. And when chemical compounds, such as amine, alcohol, halogen derivative, were added to each dye solution by 10%(in volume), the change of the adsorptivity of dye by solid acid(that is, the interfered adsorption rate) decreased in order of amine > alcohol > halogen derivative, and in homologue the smaller the molecular weight, the larger was the effect. So adsorption in nonaqueous solution was a selective adsorption of chemical compounds which contained negative groups such as amine and hydroxyl radicals, and it had no relation to surface tension and showed inverted phenomenon of Traube series. It is guessed that the inverted phenomenon (the interfered adsorption phenomenon) was due to the polar chemical adsorption between active $SiO_2$ which was an origin of solid acid and the adsorbed substances, considering that the order of inversion was nearly in accord with dipole moment of added solvents. The results of this study led to find adsorption mechanism and inverted phenomenon of Traube series in nonaqueous solution.

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Semi-analytical solution of horizontally composite curved I-beam with partial slip

  • Qin, Xu-xi;Liu, Han-bing;Wu, Chun-li;Gu, Zheng-wei
    • Steel and Composite Structures
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    • v.27 no.1
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    • pp.1-12
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    • 2018
  • This paper presents a semi-analytical solution of simply supported horizontally composite curved I-beam by trigonometric series. The flexibility of the interlayer connectors between layers both in the tangential direction and in the radial direction is taken into account in the proposed formulation. The governing differential equations and the boundary conditions are established by applying the variational approach, which are solved by applying the Fourier series expansion method. The accuracy and efficiency of the proposed formulation are validated by comparing its results with both experimental results reported in the literature and FEM results.

A mechanical proprties and fatigue life of aluminum alloy sheets for autobodies (자동차 차체용 알루미늄 합금 판재의 기계적특성과 부식피로수명)

  • 박인덕;윤옥남;남기우
    • Journal of Ocean Engineering and Technology
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    • v.11 no.2
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    • pp.57-69
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    • 1997
  • The objetive of this study is to compare the mechanical proprties of 6000 series Al-Mg-Si aluminum alloy (AC120) with 5000 series Al-Mg aluminum alloy (TG25), and to investigate the influence of corrosion solution for fatigue life. Comparing of TG25 and AC120 alloy sheets, TG25 alloy sheets showing higher plastic ratio and total elongation have better formability than AC120 alloy sheets. The hardness of nugget area was a little higher than that of base metal area. Also, grain coarsening was observed in HAZ(Heat Affected Zone). In a corrosion fatigue experiment, the fatigue life decreased as concentration increased, when a dipping time was constant. The life decreased as dippling time increased, when a concentration was constant.

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Numerical Analysis of Gas Flows in Microchannels in Series (직렬 미소채널 기체유장의 수치해석)

  • Chung Chan Hong
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2004.11a
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    • pp.221-231
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    • 2004
  • A kinetic theory analysis is made of low-speed gas flows in a microfluidic system consisted of three microchannels in series. The Boitzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. For the evaluation of the present method results are compared with those from the DSMC method and an analytical solution of the Navier-Stokes equations with slip boundary conditions. Calculations are made for flows at various Knudsen numbers and pressure ratios across the channel. The results compared well with those from the DSMC method. It is shown that the analytical solution of the Navier-Stokes equations with slip boundary conditions which is suited fur fully developed flows can give relatively good results. In predicting the geometrically complex flows up to a Knudsen number of about 0.06. It is also shown that the present method can be used to analyze extremely low-speed flow fields for which the DSMC method is Impractical.

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