• 제목/요약/키워드: practical equation

검색결과 1,007건 처리시간 0.025초

A Proposal of Simplified Eigenvalue Equation for an Analysis of Dielectric Slab Waveguide

  • Choi Young-Kyu
    • Journal of Electrical Engineering and Technology
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    • 제1권3호
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    • pp.381-386
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    • 2006
  • In dielectric waveguide analysis and synthesis, we often encounter an awkward task of solving the eigenvalue equation to find the value of propagation constant. Since the dispersion equation is an irrational equation, we cannot solve it directly. Taking advantage of approximated calculation, we attempt here to solve this irrational dispersion equation. A new type of eigenvalue equation, in which guide index is expressed as a function of frequency, has been developed. In practical optical waveguide designing and in calculating the propagation mode, this equation will be used more conveniently than the previous one. To expedite the design of the waveguide, we then solve the eigenvalue equation of a slab waveguide, which is sufficiently accurate for practical purpose.

Chiu의 유속공식에 의한 유속분포계수의 추정 (ESTIMATION OF ENERGY & MOMENTUM COEFFICIENTS IN OPEN CHANNEL BY CHIU'S VELOCITY DISTRIBUTION EQUATION)

  • 추태호
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 1992년도 수공학연구발표회논문집
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    • pp.55-66
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    • 1992
  • 수로단면의 유속분포가 균일하지 않으므로, 에너지 원리의 $\alpha$값과 운동량원리의 $\beta$값 각각에 미치나, 대부분 실무에서는 이들 값을 추정하는 어려움 때문에 통상 1로 가정하여 사용하고 있다. 본 연구에서는 실용적으로 이용할 수 있는 공식을 유도하고, 기존에 사용되고있는 Prandtl-Von Karman 공식과 비교 검토하였으며, 유속분포계수 공식을 유도하기 위하여, 수로 바닥과 수 표면까지도 포함한 전 영역에서 비교적 정확한 유속분포를 나타내는 Chiu의 유속공식을 사용하였다. 또한, 실용적목적을 위해 유속데이타 없이 유속분포 계수를 구하기 위해서 Manning공식과 Chiu공식을 사용하였으며, 실험실 및 현장데이타를 위의 연구에 적용 검증하였다.

A Study on the Development of Regional Master Recession Curve Model

  • Lee, Jae-Hyoung;Oh, Nam-Sun;Lee, Hee-Ju
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제6권3호
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    • pp.61-71
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    • 2001
  • A regional master recession curve model to predict groundwater discharges in a given basin was presented. Considering a stream-aquifer system, both theoretical and experimental baseflow equations were compared and a practical groundwater discharge equation was derived, The groundwater discharge equation was expanded and transformed to the discharge equation at the basin exit. For practical use, the equation was expressed as a function of watershed area, the mean slope of basin and the recession constant. To verify the model, the model was applied to Ssang-chi basin where long-term and temporal hydrological data at the upper basin were collected. Our results show that a master recession curve of unmeasured area can be predicted.

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A Comparison Study Between Navier-Stokes Equation and Reynolds Equation in Lubricating Flow Regime

  • Song, Dong-Joo;Seo, Duck-Kyo;William W. Schultz
    • Journal of Mechanical Science and Technology
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    • 제17권4호
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    • pp.599-605
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    • 2003
  • For practical calculations, the Reynolds equation is frequently used to analyze the lubricating flow. The full Navier-Stokes Equations are used to find validity limits of Reynolds equation in a lubricating flow regime by result comparison. As the amplitude of wavy upper wall increased at a given average channel height, the difference between Navier-Stokes and lubrication theory decreased slightly : however, as the minimum distance in channel throat increased, the differences in the maximum pressure between Navier-Stokes and lubrication theory became large.

딥 러닝을 이용한 인공지능 구성방정식 모델의 개발 (Development of Artificial Intelligence Constitutive Equation Model Using Deep Learning)

  • 문희범;강경필;이경훈;김용환
    • 소성∙가공
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    • 제30권4호
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    • pp.186-194
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    • 2021
  • Finite element simulation is a widely applied method for practical purpose in various metal forming process. However, in the simulation of elasto-plastic behavior of porous material or in crystal plasticity coupled multi-scale simulation, it requires much calculation time, which is a limitation in its application in practical situations. A machine learning model that directly outputs the constitutive equation without iterative calculations would greatly reduce the calculation time of the simulation. In this study, we examined the possibility of artificial intelligence based constitutive equation with the input of existing state variables and current velocity filed. To introduce the methodology, we described the process of obtaining the training data, machine learning process and the coupling of machine learning model with commercial software DEFROMTM, as a preliminary study, via rigid plastic finite element simulation.

시변 측정잡음 모델을 고려한 실시간 시선각 변화율 추정필터 (A Practical Real-Time LOS Rate Estimator with Time-Varying Measurement Noise Variance)

  • 나원상;이진익
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 하계학술대회 논문집 D
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    • pp.2082-2084
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    • 2003
  • A practical real-time LOS rate estimator is proposed to handle the time-varying measurement noise statistics. To calculate the optimal Kalman gain, the algebraic transformation method is taken into account. By using the algebraic transformation, the differential algebraic Riccati equation(DARE) regarding estimation error covariance is replaced by the simple algebraic Riccati equation(ARE). The proposed LOS estimation filter gain is only a function of relative range. Consequently, the proposed method is computationally very efficient and suitable for embedded environment.

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주상변압기 부하 상관식 조정에 관한 실증적 연구 (Practical Study on Adjustment of Load Correlation Equations of Pole Transformer)

  • 박창호;김두봉;김기현;배주천;윤상윤;김재철
    • 조명전기설비학회논문지
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    • 제14권1호
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    • pp.102-108
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    • 2000
  • 본 논문은 주상변압기의 부하관리를 위한 부하 상관식 조정에 관한 실증적 연구 결과를 제시하였다. 부하 상관식 조정을 위하여 주상 변압기의 사용전력량[kWh]과 최대 부하[A] 사이의 상관 관계를 분석하였다. 또한 상관식의 정확성을 높이기 위하여 12개의 지역 패턴으로 분류하였다. 그리고 각 지역 패턴에 24개씩의 표본 주상 변압기를 선정하였다. 부하 상관식에 사용된 데이터의 신뢰성을 위하여 표본 주상변압기에 부하관리기를 설치하였다. 온-라인 데이터 취득을 통하여, 데이터 베이스를 구축하였다. 부하 상관식 조정에 있어서 본 논문에서는 두 부분에 대해 고려를 하였다. 그중 하나는 부하 상관식의 적합성 또 하나는 과부하로 인한 주상변압기 손실 방지이다. 최종적으로 1, 2차 상관함수를 병용하는 상관식올 제안하였다. 또한 사례 연구를 통하여 제안한 부하 상관식이 기존에 사용하는 상관식 보다 오차 비율이 감소했음을 입증하였다.

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접촉 조인트에서의 운동자유도 (Mobility in the Contact Joint of a Mechanism)

  • 이장용
    • 한국정밀공학회지
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    • 제24권4호
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    • pp.109-114
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    • 2007
  • The mobility (degree of freedom) of mechanisms can be regarded as independent coordinate to define its position. This concept is essential for kinematics, and for designing mechanisms in the practical point of view. Gruebler's equation has been applied to estimate the mobility using number of links and joints of a mechanism. In practical case, there are many types of mechanisms, which transfer motion by direct contact between two links. However, no exact kinematic definition has existed for the joint that the contact takes place in a mechanism. In this paper, a new concept of contact joint is defined and modified Gruebler's equation is suggested to calculate mobility of a mechanism with the joint. This concept would be useful in mechanism design because it will be possible to manage many contact mechanisms with kinematic exactness.

A New Accurate Equation for Estimating the Baseline for the Reversal Peak of a Cyclic Voltammogram

  • Oh, Sung-Hoon;Chang, Byoung-Yong
    • Journal of Electrochemical Science and Technology
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    • 제7권4호
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    • pp.293-297
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    • 2016
  • Here we propose a new equation by which we can estimate the baseline for measuring the peak current of the reverse curve in a cyclic voltammogram. A similar equation already exists, but it is a linear algebraic equation that over-simplifies the voltammetric curve and may cause unpredictable errors when calculating the baseline. In our study, we find a quadratic algebraic equation that acceptably reflects the complexity included in a voltammetric curve. The equation is obtained from a laborious numerical analysis of cyclic voltammetry simulations using the finite element method, and not from the closed form of the mathematical equation. This equation is utilized to provide a virtual baseline current for the reverse peak current. We compare the results obtained using the old linear and new quadratic equations with the theoretical values in terms of errors to ascertain the degree to which accuracy is improved by the new equation. Finally, the equations are applied to practical cyclic voltammograms of ferricyanide in order to confirm the improved accuracy.

DETERMINATION OF THE FLEXURAL RIGIDITY OF A BEAM FROM LIMITED BOUNDARY MEASUREMENTS

  • LESNIC DANIEL
    • Journal of applied mathematics & informatics
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    • 제20권1_2호
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    • pp.17-34
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    • 2006
  • Inverse coefficient identification problems associated with the fourth-order Sturm-Liouville operator in the steady state Euler-Bernoulli beam equation are investigated. Unlike previous studies in which spectral data are used as additional information, in this paper only boundary information is used, hence non-destructive tests can be employed in practical applications.