• Title/Summary/Keyword: 단순계산식

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Shear Strength of Plate Girder (플레이트거더의 전단내력)

  • Choi, Chui-Kyung;Kim, Kyu-Suk
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.7 no.2
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    • pp.169-176
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    • 2003
  • In the design of plate girder web panels, it is required to evaluate accurately the elastic buckling strength under shear, whether or not the post-buckling strength is accounted for. Currently, elastic shear buckling coefficient of web panels stiffened by transverse intermediate stiffeners are determined by assuming conservatively that web panels are simply supported at the juncture between the flange and web. Although the notion of the real boundary condition at the juncture of the web and the flanges to be somewhere between simple and fixed has been recognized from early days, the boundary condition has been conservatively assumed, mainly due to lack of means to evaluate it in a rational manner. In this paper, a series of numerical analyses and experiments is carried out to provide a simple equation with some parameters especially the flange-web thickness ratio.

Development of a Formula for Acoustic Transmission Loss According to Partition Positions in a Simple Expansion Chamber (단순확장관 내부 파티션 위치에 따른 음향투과손실 계산식의 개발)

  • Park, Jeong-Pil;Bae, Kyeong-Won;Jeong, Weui-Bong;Ahn, Se-Jin
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.2
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    • pp.116-123
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    • 2015
  • This paper proposed a new formula for predicting acoustic power transmission loss of simple expansion chamber with two internal partitions. Seventeen cases of computational results were performed and the database was constructed for the TL according to the various positions of internal partitions. Using this database, firstly, the formula for the peak values of TL at certain frequencies was developed using the least square estimation. Secondly, the formula for the TL curve could be obtained automatically with the input data of the positions of two internal partitions. The formula of TL developed in this paper showed good agreement with computational results. This formula will be helpful for the positioning of internal partitions to improve TL at target frequencies.

그래프 마법사와 함수교육

  • Ryu, Jae-Gu
    • Communications of Mathematical Education
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    • v.10
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    • pp.519-528
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    • 2000
  • 최근 10 여년 동안 교육 현장의 각 부분에 여러 가지 종류의 테크놀로지가 도입되면서, 교육의 내용과 방법에 있어서 점진적인 변화가 나타나고 있다. 예를들어, 수학 과목에 있어서는 그래픽 계산기, 도형 및 기하 학습 프로그램, 스프레드 시트, 함수 그래픽 프로그램 등의 도입으로 교과 과정 전반에 걸친 변화가 일고 있는데, 처음에는 이들 테크놀로지가 단순히 기존의 수업에서 수많은 반복을 요하거나, 지필식 방식으로는 정확하게 나타내기 어려운 도형이나 그래프를 빠르고 정확하게 그려내주는 보조수단으로 사용되었지만, 시간이 지나면서 이들 테크놀로지에 대한 활용도가 높아지게 되고, 이들 테크놀로지에 대한 교사들의 활용능력이 증대됨에 다라서, 이러한 테크놀로지가 단순한 보조수단에 머무르지 않고 주지에 기술이나 개념을 설명하는 방법 자체를 변화시키고 있다. 예를들어, 함수 교육에 있어서 그래픽 프로그램이 사용될 때에도, 초기 단계에서는 이들 함수의 개념을 설명할 때에는 거의 집합론이나 대수학적인 방법을 이용하였고, 최종 단계로 이들 함수를 좌표계 위에 표현하기 위한 보조수단으로 잠깐씩 사용되는 경우가 대부분이었으나, 최근들어서는 함수 학습의 초기과정부터 곧바로 이들 그래프 프로그램을 적극적으로 도입하여 학습자로 하여금 다양한 그래프 조작을 하게 함으로써, 어려운 집합론이나 대수학적인 개념을 도입하지 않고서도 함수에 대한 개념을 시각적으로 직관적으로 파악하도록 하는 학습 방안들이 제시되고 있는 것이다. 본 고에서는 현행 중고등학교 함수 교육 과정에서 그래프에 대한 다양한 조작 기능을 제공함으로써 학습자로 하여금, 제시되는 함수에 대한 시각적이고 직관적인 이미지를 가질 수 있도록 하기 위해서 개발된 ‘그래프 마법사’라는 프로그램을 소개하고자 한다.

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A Terrain Surface Approximation Using the Hermite Function (Hermite함수를 이용한 지형곡면근사)

  • 문두열;정범석;이용희
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.20 no.3
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    • pp.265-272
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    • 2002
  • By this time, many methods have been developed for computing the pit excavation volumes, ranging from a simple formula to more complicated numerical methods. Earlier the standard methods for pit excavation volume computation requires that the considered area be divided the boundary ranges of x and y directions into a rectangular grid. whereas these methods may not calculate the estimation of pit excavation volume that is often required in many surveying situation exactly. In Easa methods(1998), the rectangular grid is divided into the same linear in the range x and y directions respectively. This method employs a cubic Hermite polynomial for individual intervals in both directions of the grid. Because the height data over the same boundary of x and y interval ranges have to be exist, it is not possible to choose the governing points of the terrain boundary such as points of maximum and minimum height. In this study, a method of volume computation, that combines the advantages of Easa methods(1998) and avoids the drawbacks of it, is presented. The proposed method employs a cubic Hermite polynomial for individual intervals in both directions of the non-grid, the all over intervals of it may be unequal grid x in width and y in length y, partially. The new proposed method should produce better accuracy than the other conventional methods.

Computational Model for Hydrodynamic Pressure on Radial Gates during Earthquakes (레디얼 게이트에 작용하는 지진 동수압 계산 모형)

  • Phan, Hoang Nam;Lee, Jeeho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.5
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    • pp.323-331
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    • 2019
  • In this study, a computational model approach for the modeling of hydrodynamic pressures acting on radial gates during strong earthquakes is proposed. The use of the dynamic layering method with the Arbitrary Lagrangian Eulerian (ALE) algorithm and the SIMPLE method for simulating free reservoir surface flow in addition to moving boundary interfaces between the fluid domain and a structure due to earthquake excitation are suggested. The verification and validation of the proposed approach are realized by comparisons performed using the renowned formulation derived by the experimental results for vertical and inclined dam surfaces subjected to earthquake excitation. A parameter study for the truncated lengths of the two-dimensional fluid domain demonstrates that twice the water level leads to efficient and converged computational results. Finally, numerical simulations for large radial gates with different curvatures subjected to two strong earthquakes are successfully performed using the suggested computational model.

Block-Coordinate Gauss-Newton Optimization for Image Registration (영상 정합을 위한 Block-Coordinate Gauss-Newton 최적화)

  • Kim, Dong-Sik
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.44 no.6
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    • pp.1-8
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    • 2007
  • In this paper, research on joint optimization of the image spatial registration and the exposure compensation is conducted. The exposure compensation is performed in a frame work of the intensity compensation based on the polynomial approximation of the relationship between images. This compensation is jointly combined with the registration problem employing the Gauss-Newton nonlinear optimization method. In this paper, to perform for a simple and stable optimization, the block-coordinate method is combined with the Gauss-Newton optimization and extensively compared with the traditional approaches. Furthermore, regression analysis is considered in the compensation part for a better stable performance. By combining the block-coordinate method with the Gauss-Newton optimization, we can obtain a compatible performance reducing the computational complexity and stabilizing the performance. In the numerical result for a particular image, we obtain a satisfactory result for 10 repeats of the iteration, which implies a 50% reduction of the computational complexity. The error is also further reduced by 1.5dB compared to the ordinary method.

A Vector-based Azimuth Algorithm using Indoor-Positioning Systems for Mobile Nodes (이동노드의 실내위치파악 시스템을 통한 벡터기반 상대방위각 알고리즘)

  • Son, Joo-Young
    • Journal of Navigation and Port Research
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    • v.38 no.5
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    • pp.457-462
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    • 2014
  • Indoor-positioning systems are useful to various applications. Navigation system is one of the most popular applications, which needs the information of directions of nodes' movements. Specifically the applications should get the information in real-time to properly show the current moving position of a node. In this paper, simple vector-based algorithms are proposed to compute amount and direction of changes of azimuth of mobile nodes' heading directions using existing indoor positioning systems in indoor environments where azimuth sensors do not work properly. Previous algorithms calculate the azimuth changes by too many steps of topology-based formula. The algorithms proposed in this paper get the amount of changes of azimuth by simple formula based on vector, and determine the direction of changes by the sign of value of simple formula based on the previous movement of nodes. The algorithms are much simpler and less error-prone than previous ones, and then they can detect changes in many location-based applications as well. The performance of the algorithms is proved logically and mathematically.

Mathematical Expression of the Toric Cornea using Corneal Topography Measurements (각막지형도(topography) 각막곡률로부터 토릭 각막형상의 수식화)

  • Kim, Dae Soo
    • Journal of Korean Ophthalmic Optics Society
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    • v.16 no.4
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    • pp.439-444
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    • 2011
  • Purpose: To represent the shape of toric corea in the elliptical function for the determination of curvature distribution and lacrimal thickness between cornea and contact lens when the lens is fitted. Methods: Topography measurements of corneal curvature and curvature equation derived from the assumed elliptical function were evaluated using the Excel program which included the necessary equation derived. Results: Mathematical expressions for the cornea whose ribbon shaped-topography image, in which the center does not coincide with the corneal apex, can be determined. Conclusions: For the application where the higher accuracy on the cornea is not required, such as higher order aberration, the cornea cal be expressed in the simple elliptical function.

A New Approach for the Solution of Multi-Dimensional Neutron Kinetics Equations in LWR's (경수로에 대한 다차원 노심 동특성 방정식의 해를 구하기 위한 새로운 방법 개발)

  • Song, Jae-Woong;Kim, Jong-Kyung
    • Nuclear Engineering and Technology
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    • v.24 no.3
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    • pp.252-262
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    • 1992
  • The intent of this study is to develop an efficient calculation method which can be used to analyze the heterogeneous time-dependent reactor problems. By using the nodal theory one can not only reduce the calculational efforts, but accurately determine the group dependent flux densities averaged over the entire homogeneous nodes. This method uses correction factors(called“discontinuity factors”) in a rigorous manner to obtain the relationship between the node-averaged flux and the surface-averaged fluxes and currents. The discontinuity factors are calculated from the node-averaged fluxes, diffusion coefficients, and the discontinuity factors of the previous time step. The test results for two benchmark problems demonstrate the accuracy and efficiency of the method developed for the transient application in which assembly-size nodes can be used.

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Program Development to Evaluate Permeability Tensor of Fractured Media Using Borehole Televiewer and BIPS Images and an Assessment of Feasibility of the Program on Field Sites (시추공 텔리뷰어 및 BIPS의 영상자료 해석을 통한 파쇄매질의 투수율텐서 계산 프로그램 개발 및 현장 적용성 평가)

  • 구민호;이동우;원경식
    • The Journal of Engineering Geology
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    • v.9 no.3
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    • pp.187-206
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    • 1999
  • A computer program to numerically predict the permeability tensor of fractured rocks is developed using information on discontinuities which Borehole Televiewer and Borehole Image Processing System (BIPS) provide. It uses orientation and thickness of a large number of discontinuities as input data, and calculates relative values of the 9 elements consisting of the permeability tensor by the formulation based on the EPM model, which regards a fractured rock as a homogeneous, anisotropic porous medium. In order to assess feasibility of the program on field sites, the numerically calculated tensor was obtained using BIPS logs and compared to the results of pumping test conducted in the boreholes of the study area. The degree of horizontal anisotropy and the direction of maximum horizontal permeability are 2.8 and $N77^{\circ}CE$, respectively, determined from the pumping test data, while 3.0 and $N63^{\circ}CE$ from the numerical analysis by the developed program. Disagreement between two analyses, especially for the principal direction of anisotropy, seems to be caused by problems in analyzing the pumping test data, in applicability of the EPM model and the cubic law, and in simplified relationship between the crack size and aperture. Aside from these problems, consideration of hydraulic parameters characterizing roughness of cracks and infilling materials seems to be required to improve feasibility of the proposed program. Three-dimensional assessment of its feasibility on field sites can be accomplished by conducting a series of cross-hole packer tests consisting of an injecting well and a monitoring well at close distance.

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