• 제목/요약/키워드: Method of Weighted Residual

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터널환기제어를 위한 차종별 오염물 배출량 추정 (Estimation of Pollutants Exhausted :From vehicles for Tunnel ventilation Control)

  • 홍대희;김우동;김태형;민원
    • 대한기계학회논문집B
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    • 제26권1호
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    • pp.110-115
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    • 2002
  • The tunnels built in recent years are equipped with traffic counters and pollution sensors (mostly, CO and Vl sensors). Utilizing these built-in sensors, it is possible to develop an algorithm to estimate the amount of pollutants exhausted from the each class of cars passing through the tunnel. These estimated data can be effectively utilized not only for ventilation control but also for designing ventilation facilities. The diffusion of pollutants in a tunnel can be described with one-dimensional diffusion-convection equation. This equation is approximated with interpolation functions and weighted residual method converting to adequate form for standard state estimate algorithms. With this converted equations, a least square optimization based algorithm is developed, whose outputs are the estimated amounts of pollutants emitted from each class of cars. In order to verify the feasibility of the developed algorithms, simulations are performed with the real data acquisitioned from the Tunnae tunnel located in Young-Dong highway in Korea.

동적 문제의 공간-시간 유한요소해석 (Space-Time Finite Element Analysis of Transient Problem)

  • Kim, Chi-Kyung;Lim, Hong-Bin
    • 한국안전학회지
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    • 제8권4호
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    • pp.201-206
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    • 1993
  • 동적 문제에 대한 공간-시간 유한요소법을 제시하였다. 이 방법은 공간과 시간을 동일한 변수로 취급하였으며 공간-시간 영역에서의 유한요소 전개에 있어서는 연속적 갤러킨 방법에 근거하여 가중여분법을 이용하였다. 이 방법은 조건부 안정을 주는 고차원적 정확성을 주는 해법인 것이다.

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가중회귀분석에 의한 지역화왜곡계수의 추정 (Estimation of Regionai Skew Coefficient with Weighted Least Squares Regression)

  • 조국광;권순국
    • 한국농공학회지
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    • 제32권1호
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    • pp.103-109
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    • 1990
  • The application of the Log-Pearson Type m distribution recommended by Water Resources Council, U. S. A. for flood frequency analysis requires the estimation of the regionalized skew coefficient. In this study, regionalized skew coefficients are estimated using a weighted regression model which relates at-site skews based on logarithms of observed annual flood peak series to both basin characteristics and precipitation data in the Han river and the Nakdong river basin. The model is developed with weighted least squares method in which the weights are determined by separating residual variance into that due to model error and due to sampling error. As the result of analysis, regionalized skews are estimated as - 0.732 and - 0.575 in the Han river and the Nakdong river basin, respectively.

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최적화기법을 이용한 고속 탄성회전체의 밸런싱 (An Optimal Correction Balancing of A High-Speed Flexible Rotor)

  • 이용복;이동수;최동훈
    • 대한기계학회논문집
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    • 제19권6호
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    • pp.1402-1410
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    • 1995
  • An influence coefficient method with an optimal correction balancing algorithm is developed for balancing a high-speed flexible rotor system. Conventional flexible balancing algorithms such as least square and weighted least square algorithms may not satisfy allowable residual vibration levels in certain speed ranges, while the optimal correction balancing method can be more effective in controlling vibration levels in a target speed. Related analyses were reviewed and applied to a test rig to show the effectiveness of the optimal correction balancing method.

새로운 CAD용 Non-Quasi-Static MOS 과도 전류 모델 (A new CAD-compatible non-quasi-static MOS tansient model)

  • 권대한;류윤섭;김기혁;황성우
    • 전자공학회논문지D
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    • 제34D권12호
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    • pp.31-38
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    • 1997
  • A new CAD-compatible non-quasi-static (NQS) MOS transient model is presented. A new type of weighted residual method, the collcoatin method, is adopted to obtian an approximate ordinary differntial equation from the continuity eqation. Contrasting to the conventional NQS models, the new model can directly include the variatin of the depletion charge and the derived transient current sare expressed with only physically meaningful variables. The new model predicts transient behaviors reasonably well in the calculation including cutoff regions where the depletion charge rapidly changes.

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Weighted Least Absolute Deviation Lasso Estimator

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • 제18권6호
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    • pp.733-739
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    • 2011
  • The linear absolute shrinkage and selection operator(Lasso) method improves the low prediction accuracy and poor interpretation of the ordinary least squares(OLS) estimate through the use of $L_1$ regularization on the regression coefficients. However, the Lasso is not robust to outliers, because the Lasso method minimizes the sum of squared residual errors. Even though the least absolute deviation(LAD) estimator is an alternative to the OLS estimate, it is sensitive to leverage points. We propose a robust Lasso estimator that is not sensitive to outliers, heavy-tailed errors or leverage points.

금속재료 표면층의 급격한 응력구배에 대한 X-Ray회절 특성값과 측정된 변형률의 해석방법 (Analysis Method of X-Ray Diffraction Characteristic Values and Measured Strain for Steep Stress Gradient of Metal Material Surface Layer)

  • 한창석;이찬우
    • 한국재료학회지
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    • 제33권2호
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    • pp.54-62
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    • 2023
  • The most comprehensive and particularly reliable method for non-destructively measuring the residual stress of the surface layer of metals is the sin2ψ method. When X-rays were used the relationship of εφψ-sin2ψ measured on the surface layer of the processing metal did not show linearity when the sin2ψ method was used. In this case, since the effective penetration depth changes according to the changing direction of the incident X-ray, σφ becomes a sin2ψ function. Since σφ cannot be used as a constant, the relationship in εφψ-sin2ψ cannot be linear. Therefore, in this paper, the orthogonal function method according to Warren's diffraction theory and the basic profile of normal distribution were synthesized, and the X-ray diffraction profile was calculated and reviewed when there was a linear strain (stress) gradient on the surface. When there is a strain gradient, the X-ray diffraction profile becomes asymmetric, and as a result, the peak position, the position of half-maximum, and the centroid position show different values. The difference between the peak position and the centroid position appeared more clearly as the strain (stress) gradient became larger, and the basic profile width was smaller. The weighted average strain enables stress analysis when there is a strain (stress) gradient, based on the strain value corresponding to the centroid position of the diffracted X-rays. At the 1/5 Imax max height of X-ray diffraction, the position where the diffracted X-ray is divided into two by drawing a straight line parallel to the background, corresponds approximately to the centroid position.

2차원 동적 진동문제의 공간-시간 유한요소법 적용 (An Application of Space and Time Finite Element Method for Two-Dimensional Transient Vibration)

  • 김치경
    • 한국안전학회지
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    • 제21권2호
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    • pp.143-149
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    • 2006
  • 본 논문은 2차원 동적 진동문제를 공간-시간 유한요소법으로 해석하고 있다. 공간-시간 유한요소법은 공간만 분할하는 재래식 유한요소해석에 비해 보다 해를 빠르고 쉽게 얻을 수 있다. 상대적으로 큰 시간간격에 대해서 공간과 시간을 동시에 분할하는 공간-시간 유한요소 근사법을 제시한다. 가중잔차법으로 공간-시간 영역에 대해 유한요소법을 정식화하였으며 선형 사변형 공간-시간 유한요소를 선택하여 해의 안정성에 관하여 언급하였다. 일반적 동적문제에서는 상대적인 큰 시간간격으로 인하여 해의 불안정을 야기 시키고 있으나 본 연구에서는 수치의 안정성을 보여주고 있다. 비구조 공간-시간 유한요소법은 재래식 수치해석에서 흔히 발생하는 해의 불안정성에 대한 결점을 보완함은 물론 효과적인 계산방법을 지니고 있다. 이 방법의 효율성을 위해 수치예제들을 제시하였다.

구조동역학-열탄성학 연성문제의 유한요소 정식화 및 분류 (The Finite Element Formulation and Its Classification of Dynamic Thermoelastic Problems of Solids)

  • Yun, Seong-Ho
    • 한국전산구조공학회논문집
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    • 제13권1호
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    • pp.37-49
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    • 2000
  • 본 논문은 구조물의 동역학 및 열탄성 연성문제 해석을 위한 통합된 유한요소법을 개발하는데 초점을 두고있다. 첫째로, 열전도 방정식에 열변위라는 물리량을 도입하여 동역학의 운동 방정식과 유사하도록 유도한 후, 변분법과 일반좌표계를 이용하여 시간영역에서 정식화하였다. 둘째로, 두 방정식에 라플라스 변환을 동시에 도입하고, 공간변수만을 갖는 형상함수와 가중잔여법을 적용하여 유한요소식을 변환영역에서 표현하였다. 연성된 방정식을 문제의 특성에 따라서 분류하였고 정식화 과정을 검증하였다. 또한 수치해석 알고리듬이 갖는 수치 역 변환의 정성적인 경향에 대하여 검토하였다.

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Finding Cost-Effective Mixtures Robust to Noise Variables in Mixture-Process Experiments

  • Lim, Yong B.
    • Communications for Statistical Applications and Methods
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    • 제21권2호
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    • pp.161-168
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    • 2014
  • In mixture experiments with process variables, we consider the case that some of process variables are either uncontrollable or hard to control, which are called noise variables. Given the such mixture experimental data with process variables, first we study how to search for candidate models. Good candidate models are screened by the sequential variables selection method and checking the residual plots for the validity of the model assumption. Two methods, which use numerical optimization methods proposed by Derringer and Suich (1980) and minimization of the weighted expected loss, are proposed to find a cost-effective robust optimal condition in which the performance of the mean as well as the variance of the response for each of the candidate models is well-behaved under the cost restriction of the mixture. The proposed methods are illustrated with the well known fish patties texture example described by Cornell (2002).