• Title/Summary/Keyword: 특성 방정식

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Effects of Curved Pipe Geometry and Inside Fluid Flow on the Vibrational Characteristics of Pipe Systems (배관의 형상 및 내부유체 유동이 배관계의 진동특성에 미치는 영향)

  • Choi, Myung-Jin
    • Journal of the Korean Institute of Gas
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    • v.20 no.6
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    • pp.58-64
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    • 2016
  • Vibrational characteristics of curved pipe structures are investigated with respect to the change of inside flow velocities. Based upon the Hamilton's principle, the equations of motions are derived, and the finite element equation is constructed to solve the frequency equation for curved pipe structures. When the initial tension is neglected in cured pipes, the natural frequencies are reduced as flow velocity increases, and the rapid decreases of the natural frequencies take place. However, when the initial tension is taken into account, the natural frequencies are not changed with the change of the flow velocity. In free vibrational simulation of pipe systems, it is necessary to calculate the initial force due to the velocity and the pressure of the fluid flow from the equilibrium. The force should be included in the equation of motion of the systems to get more accurate natural frequencies. The mechanical properties like stiffness or the location of pipe support need to be changed to avoid resonance. The natural frequencies are to be isolated from the frequency range of dominant vibration modes. The angles of elbows do not affect the change of the fundamental natural frequency, but affect the change of the third or higher natural frequencies.

Counter-Current Flow Limitation Model Based on the Hyperbolic Two-fluid Equations and Interface Shape Function (쌍곡선형 이상유동 방정식과 경계면 모양함수를 이용한 유체기계의 역류유동제한점 예측방법 개발)

  • 정지환
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.1 no.1
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    • pp.15-22
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    • 2000
  • There are lots of industrial machines of which functions are achieved by operation of multi-phase fluids. Some of them take advantage of the characteristics of counter-current two-phase flow The maximum flow rates of gas and liquid phases which flow in opposite-directions (counter-current flow) are limited by a phenomenon known as a Counter-Current Flow Limitation (CCFL or Flooding) The mass and momentum conservation equations for each Phase were established to build a first-order hyperbolic partial derivative equations system. A new CCFL model is developed based on the characteristic equation of the hyperbolic PDE system. The present model has its applicationto the case in which a non-uniform flow is developed around a square or sharp-edged entrance of liquid phase. The model is able to he used to Predict the operating-limit of components in which mass and heat transfer are taking place between liquid and gas phases.

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Numerical Simulation on Tidal Currents in a Bay - Application to Gamag Bay - (만내의 조류수치해석 - 가막만을 중심으로 -)

  • Lee, Gwan-Su;Lee, Yeong-Seok;Lee, Sam-No
    • Water for future
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    • v.24 no.4
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    • pp.41-48
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    • 1991
  • This paper describes the characteristics of tidal currents in the Gamag Bay by using the two-dimensional nonlinear hydrodynamic euation. The basic equations are derived by Navier-Stokes momentum equation and continuity equation and its characteristics critically are reviewed, and they are analysed by the implicit finite difference method. The numerical model is constructed two-dimensional(depth-averaged) simple layer model. This paper investigates the stability of solution and convergence of solution in application of the method to Gamag Bay, and the reproducibility of the simulation is also discussed in comparison with the results of field survey. The following items are clarifide through the numerical investigation; i)the reproduc-ibility of tidal range and currents are quite acceptable, comparing with the results of model tests and field data, and ii) tidal cycle for convergent solution is four tidal cycle, also, iii) bottom friction is successfully represented as c=(1/n))$h^{1/6}$.

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Data Sampling Using Oversampling Technique for Estimating Two-Dimensional Dispersion Coefficients (2차원 분산계수 경험식 산정을 위한 오버샘플링 기법 활용 데이터 샘플링)

  • Lee, Sun Mi;Park, In Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.449-449
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    • 2021
  • 하천 내 오염물질 유입원은 하수처리장과 같이 농도를 예측 가능한 점오염원이 일반적이지만, 수질오염사고와 같이 다량의 유해물질이 일시에 하천에 유입되는 경우도 발생하곤 한다. 특히 오염물질 유입지점과 취수장이 인접한 경우, 오염물질 혼합해석에 대한 이해가 오염사고 대응 및 수질 관리 측면에서 매우 중요하다. 자연하천에서는 사행에 따른 유속 구조의 불균일성 등으로 인하여 오염물질의 이송 및 분산 과정은 매우 복잡하게 나타난다. 이러한 하천의 지형적, 수리학적 특성이 오염물질의 혼합 거동에 미치는 영향을 정확하게 모의하기 위해서는 3차원 수치모형을 적용해야 한다. 그러나 대부분의 하천은 하폭 대 수심비가 매우 크기 때문에 2차원 이송-분산 방정식을 지배방정식으로 채택하는 2차원 수치 모형이 널리 사용되어왔다. 2차원 이송-분산 방정식의 해석결과는 입력된 종, 횡 분산계수의 값에 따라 변화하기 때문에 정확한 혼합해석을 위해 분산계수의 결정이 매우 중요하다. 과거 연구에서는 횡 분산계수의 결정을 위해 기본 수리량을 이용한 경험식을 활용하여 계산한 바 있다. 종 분산계수의 경우에는 경험식의 산정에 필요한 충분한 실험 자료가 축적되어 있지 않아 이상적 흐름 상태를 가정하여 유도된 Elder의 이론식(Elder, 1959)을 사용해왔다. 하지만 많은 연구에서 이러한 Elder의 이론식이 종 분산계수를 과소산정 할 우려가 있다고 제시했다. 따라서 하천의 전단류 분산특성을 나타낼 수 있는 데이터 확보를 통해 종 분산계수의 경험식 산정 및 횡 분산계수의 정확도 향상이 필요한 상황이다. 본 연구에서는 기존 선행 연구에서 수행된 2차원 추적자실험 데이터의 확장을 위해 오버샘플링 기법을 적용하였으며, 이를 통한 머신러닝을 통한 분산계수 산정 가능성을 분석하고자 한다. 부족한 추적자 실험 데이터를 확장하기 위해 오버샘플링 기법 중 SMOTE 기법을 활용했다. 오버샘플링 기법을 이용하여 생산된 데이터의 신뢰성을 검증하였으며, 추후 머신러닝을 이용한 2차원 종, 횡 분산계수 산정에 대한 활용 가능성을 분석했다.

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Analysis of Consistency and Accuracy for the Finite Difference Scheme of a Multi-Region Model Equation (다영역 모델 방정식의 유한차분계가 갖는 일관성과 정화성 분석)

  • 이덕주
    • Journal of Korea Soil Environment Society
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    • v.5 no.1
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    • pp.3-12
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    • 2000
  • The multi-region model, to describe preferential flow, is an equation representing solute transport in soils by dividing soil into numerous pore groups and using the hydraulic properties of the soil. As the model partial differential equation (PDE) is solved numerically with finite difference methods. a modified equivalent partial differential equation(MEPDE) of the partial differential equation of the multi-region model is derived to analyze the accuracy and consistency of the solution of the model PDE and the Von Neumann method is used to analyze the stability of the finite difference scheme. The evaluation obtained from the MEPDE indicated that the finite difference scheme was found to be consistent with the model PDE and had the second order accuracy The stability analysis is performed to analyze the model PDE with the amplification ratio and the phase lag using the Von Neumann method. The amplification ratio of the finite difference scheme gave non-dissipative results with various Peclet numbers and yielded the most high values as the Peclet number was one. The phase lag showed that the frequency component of the finite difference scheme lagged the true solution. From the result of the stability analysis for the model PDE, it is analyzed that the model domain should be discretized in the range of Pe < 1.0 and Cr < 2.0 to obtain the more accurate solution.

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The Structural Relationship among Personality, Negative Emotion, Motivation, Career Maturity on Mathematical Academic Achievement of Elementary School Students (초등학생의 수학 학업성취도에 영향을 주는 성격, 부정적 정서, 동기특성, 진로 성숙도의 구조적 관계 분석)

  • Kim, Jung Hoon;Lee, Moonsoo
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.279-295
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    • 2022
  • This study was conducted to present implications for mathematics education by identifying the structural relationship among personality, negative emotion, motivation, and career maturity that affects elementary school student's mathematical academic achievement. The participants conveniently sampled 179 students, from 4th to 6th graders enrolled in the same elementary school, and data on their psychological variables were collected in the form of secondary data. The hypothetical structural equation model established based on prior studies was verified with a two-stage approach based on the collected data. It was confirmed that construct validity and construct reliability were secured through assessing the measurement model. In addition, as a result of analyzing the path coefficient of the final structural equation model, five paths were found to be significant: 'personality→motivation', 'personality→career maturity', 'negative emotion→motivation', and 'negative motivation→mathematical academic achievement'. In particular, the path of 'negative emotion→negative motivation→mathematics academic achievement' that can be confirmed through the results needs to moderate negative emotions to improve mathematical academic achievement, and at this time, negative motivation should be considered together.

The Instability Behavior of Shallow Sinusoidal Arches(1) : Classification of Static Buckling According to Shape Characteristics (얕은 정현형 아치의 불안정 거동에 관한 연구(1) : 형상특성에 따른 정적좌굴의 분류)

  • 김승덕;박지윤;권택진
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.407-415
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    • 1999
  • There are two kinds of instability phenomena for shell-type structures which are snap-through and bifurcation buckling. These are very sensitive according to the shape characteristics including rise-span ratio and especially shape initial imperfection. In this study, the equilibrium path of shallow sinusoidal arches supported by hinges at both ends is investigated to grasp the instability behavior of shell-type structures with initial imperfection. The Galerkin method is used to get the nonlinear discretized equation of governing differential equation considering geometric nonlinearity of arches and the perturbation method is also used to transform the nonlinear equation to incremental form.

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Computer Analysis of Semiconductor Barrier Characteristics (II) (반도체 접촉장벽 특성의 컴퓨터해석(II)

  • Jong-Woo Park;Keum-Chan Whang;Chang-Yub Park
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.32 no.7
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    • pp.234-238
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    • 1983
  • This paper presents a steady-state computer solution of one-dimensional transport equations, describing a double(metal-semiconductor-metal) contact device, involving only one type of charge carrier. Most of the assumptions and approximations which are ordinarily introduced in order to make the transport equations analytically soluble are avoided here. The results are presented mainly in the form of(a) energy contours (b) concentration contours and (c) I-V characteristics. A computation of differential system capacitance as a function of applied voltage is also presented and schematic corrections are introduced for image force effects.

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Design and Experimental Evaluation of Sliding Mode Controller Nonlinear Autonomous Underwater Vehicle (비선형 무인잠수정을 위한 슬라이딩 모우드 조종기 설계 및 실험적 고찰)

  • Sur, J.N.
    • Journal of Ocean Engineering and Technology
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    • v.6 no.1
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    • pp.11-18
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    • 1992
  • 비선형성 및 측정할 수 없는 외란에 영향을 받은 무인잠수정의 깊이 조종을 위한 슬라이딩 모우드 조종기를 설계하였다. 먼저, 성형화 된 운동방정식을 기초로 하여 슬라이딩 표면계수를 수치행석으로 최적화 시켰으며, 이 설계된 슬라이딩 표면을 비선형 운동방정식에 적용하여, 그 특성을 고찰하었다. 마지막으로, 용이하게 설계된 슬라이딩 모우드 조종기를 비선형성과 외란을 갖는 NPS(Naval postgraduate School) 형태의 무인잠수정에 적용하여 얻어진 실험치의 동적 특성을 통해 슬라이딩 모우드의 강인성을 확인하였다.

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STRESS FIELD PATTERN AT CRACK TIP IN COMPOSITE MATERIALS

  • Lee, Eok-Seop;Han, Min-Gu
    • Journal of the Korean Society for Precision Engineering
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    • v.4 no.4
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    • pp.43-55
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    • 1987
  • 본 연구는 Orthotropic 재료에 존재하는 균열선단에서의 응력장의 양상에 대하여 지금까지의 연구들에서 상세하게 고려되지 않았던 여러 탄성계수들의 영향을 평면-변형조건 하에서 고찰하였다. 여러 하중조건과 경계조건 하에서의 일반적인 이방성 재료에 존재하는 균열선단에서의 응력자의 양상도 고찰하였으며, $a_{11}S^4-2a_{16}S^3+(2a_{12}+a_{66})S^2-2a_{26}S+a_{22}=0$인 특성방정식의 4근은 Cardano와 Ferrar의 해법을 쓴 새로운 단순기법에 의해 해석하였고 특성방정식의 4근에 미치는 일반적인 이방성 재료의 물성치 즉 Exx, Eyy, Ezz, Gxy, ${\nu}_{zx}$, ${\nu}_{xy}$,${\nu}_{yz}$, ${\eta}$ ${\eta}$xy,x, ${\eta}$xy, y, ${\eta}$xy,z , 들의 영향들에 대해 상세히 연구되었다. 또한 균열선단부근에서의 응력분포 양상을 재료의 물성치와 경계조건 및 하중조건들로써 체계적으로 연구하였다.

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