• Title/Summary/Keyword: High-order polynomial model

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고차이론을 이용한 보 및 아치형 구조물의 유한요소 해석 (Finite Element Analysis of Beam-and Arch-Like Structures using Higher-Order Theory)

  • 조진래
    • 전산구조공학
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    • 제10권1호
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    • pp.185-191
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    • 1997
  • 보 및 아치형 구조물은 2차원 탄성체이지만 두께가 상대적으로 매우 얇다는 특성 때문에 Kirchhoff이나 Reissner-Mindlin이론과 같이 변위장의 두께방향 변위를 선형함수로 근사화시켜왔다. 그 결과 2차원 문제가 물체의 중립면에서 표현되는 1차원 문제로 차원이 감소되어 이론적 해석이 간편해 진다. 그러나 경계에서와 같이 두께방향 변위가 복잡한 영역의 거동을 보다 정확히 해석하기 위해서는 2차원 선형 탄성이론이나 두께방향 다항식의 차수가 상당히 높아야 한다. 본 논문은 두께방향 다항식의 차수변화에 따른 해석정도 경향 및 여러 다른 차수를 한 문제 영역에 혼합하는 모델조합에 대한 내용을 제시한다.

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Optimization of POME treatment process using microalgae and ultrafiltration

  • Ibrahim, R.I.;Mohammad, A.W.;Wong, Z.H.
    • Membrane and Water Treatment
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    • 제6권4호
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    • pp.293-308
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    • 2015
  • Palm oil mill effluent (POME) was produced in huge amounts in Malaysia, and if it discharged into the environment, it causes a serious problem regarding its high content of nutrients and high levels of COD and BOD concentrations. This study was devoted on POME treatment and purification using an integrated process consisting of microalgae treatment followed by membrane filtration. The main objective was to find the optimum conditions as retention time and pH in the biological treatment of POME. Since after the optimum conditions there is a diverse effect of time and the process become costly. According to our knowledge, there is no existing study optimized the retention time and percentage removal of nutrients for microalgae treatment of POME wastewater. In order to achieve with optimization, a second order polynomial model regression coefficients and goodness of fit results in removal percentages of ammonia nitrogen ($NH_3-N$), orthophosphorous ($PO_4{^{-3}}$), COD, TSS, and turbidity were estimated. WinQSB technique was used to optimize the objective function of the developed model, and the optimum conditions were found. Also, ultrafiltration membrane is useful for purification of POME samples as verified by experiments.

첨두공진점을 갖는 모델 근사화를 위한 전달함수 합성법 (A Transfer Function Synthesis for Model Approximation with Resonance Peak Value)

  • 김종근;김주식;김흥규
    • 조명전기설비학회논문지
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    • 제22권1호
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    • pp.118-123
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    • 2008
  • 본 논문은 주파수영역에서 첨두공진점을 갖는 고차모델을 저차모델로 근사화하기 위한 주파수 전달함수 합성법을 제안한다. 제안된 근사화 방법은 근사화된 모델의 분모 다항식에 가중된 오차함수의 최소화에 근거하며, 근사화된 모델의 주파수 전달함수에 대한 계수벡터를 추정하기 위해 RLS 기법을 이용한다. 제안된 방법은 저주파수와 첨두공진점에서 우수한 정합특성을 나타내며, 예제에 의해 제안된 방식의 유용성을 검증한다.

직교 다항 회귀모델을 이용한 수용설비의 소비전력 추정 (Power Demand Estimation of Consuming Facility using Orthogonal Polynomial Regression Model)

  • 고희석;이충식;지봉호;김일중
    • 조명전기설비학회논문지
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    • 제13권4호
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    • pp.75-81
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    • 1999
  • 본 연구에서는 직교 다항 회귀모델을 이용하여 수용설비의 소비전력을 추정하는 알고리즘을 제시한다. 제시하는 추정모델은 수학적인 방법인 외삽법과 상관법을 이용할 수 있고, 저차의 방정식을 고차의 방정식에 어떤 수정도 없이 그대로 저차의 계수를 사용할 수 있어 다중 회귀모델에 비해 계산시간 및 계산용량이 절약되며, 이것의 반대 상황도 성립하여 소비전력을 추정하는데 매우 유용한 방법이라 할 수 있다. 추정 모델을 2차, 3차 4차로 구성하고 추정한 결과 4차 모델이 양호한 결과를 나타내었으며, 상관법에 의해 수용설비의 소비전력을 추정한 결과 추정 오차율이 2[%] 이하로 양호하였다. 그리고 외삽법에 의해 1997년의 소비전력을 추정한 결과 4차 모델의 추정 오차율이 1[%]대를 나와 추정모델의 유효성과 타당성을 검증할 수 있었다.

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The Improvement of RFM RPC Using Ground Control Points and 3D Cube

  • Cho, Woo-Sug;Kim, Joo-Hyun
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2003년도 Proceedings of ACRS 2003 ISRS
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    • pp.1143-1145
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    • 2003
  • Some of satellites such as IKONOS don't provide the orbital elements so that we can’ utilize the physical sensor model. Therefore, Rational Function Model(RFM) which is one of mathematical models could be a feasible solution. In order to improve 3D geopositioning accuracy of IKONOS stereo imagery, Rational Polynomial Coefficients(RPCs) of the RFM need to be updated with Ground Control Points(GCPs). In this paper, a method to improve RPCs of RFM using GCPs and 3D cube is proposed. Firstly, the image coordinates of GCPs are observed. And then, using offset values and scale values of RPC provided, the image coordinates and ground coordinates of 3D cube are initially determined and updated RPCs are computed by the iterative least square method. The proposed method was implemented and analyzed in several cases: different numbers of 3D cube layers and GCPs. The experimental results showed that the proposed method improved the accuracy of RPCs in great amount.

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고주파 점등 형광램프의 비선형 저항 모델에 관한 연구 (A Study on the Nonlinear Resistance Model of a F/L Operating in High Frequency)

  • 지철근;장우진
    • 한국조명전기설비학회지:조명전기설비
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    • 제1권2호
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    • pp.49-56
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    • 1987
  • 에너지 절약을 위하여 방전등을 고조파 전원으로 동작시킨다. 방전등을 포함한 고조파 전원 회로를 설계할 경우, 램프의 특성을 알아야하며, 이에 많은 방법과 수식 모델이 제안되고 있다. 본 연구에서는, 에너지 절약 효과가 큰, 형광램프의 전압-전류 특성을 나타내기 위하여, 비선형 저항 모델을 제안하고, 이를 인덕터 및 커패시터 안정기를 사용한 회로에 적용, 그 유용성을 검증하였다. 이 수식 모델은 다른 모델과는 달리 비교적 쉽게 얻을 수 있다. 또한, 비교를 위하여, 수정된Francis 방정식을 이용한 방법을 검사하였다. 본 연구에 사용된 방법은 기본적으로 다른 방전등에도 적용이 될 수 있다. 결과로서, 1) 3차 다항식의 비선형 저항 모델로 좋은 결과를 얻을 수 있다. 2) 고조파 점등시, 상수 계수를 사용하는 수정된 Francis 방정식은 적용할 수 없다.

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Discrete-Layer Model for Prediction of Free Edge Stresses in Laminated Composite Plates

  • Ahn, Jae-Seok;Woo, Kwang-Sung
    • 한국전산구조공학회논문집
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    • 제23권6호
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    • pp.615-626
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    • 2010
  • The discrete-layer model is proposed to analyze the edge-effect problem of laminates under extension and flexure. Based on three-dimensional elasticity theory, the displacement fields of each layer in a laminate have been treated discretely in terms of three displacement components across the thickness. The displacement fields at bottom and top surfaces within a layer are approximated by two-dimensional shape functions. Then two surfaces are connected by one-dimensional high order shape functions. Thus the p-convergent refinement on approximated one- and two-dimensional shape functions can be implemented independently of each other. The quality of present model is mostly determined by polynomial degrees of shape functions for given displacement fields. For nodal modes with physical meaning, the linear Lagrangian polynomials are considered. Additional modes without physical meaning, which are created by increasing nodeless degrees of shape functions, are derived from integrals of Legendre polynomials which have an orthogonality property. Also, it is assumed that mapping functions are linear in the light of shape of laminated plates. The results obtained by this proposed model are compared with those available in literatures. Especially, three-dimensional out-of-plane stresses in the interior and near the free edges are evaluated and convergence performance of the present model is established with the stress results.

Corrosion Inhibition of Copper-nickel Alloy: Experimental and Theoretical Studies

  • Khadom, Anees A.;Yaro, Aprael S.;Musa, Ahmed Y.;Mohamad, Abu Bakar;Kadhum, Abdul Amir H.
    • 대한화학회지
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    • 제56권4호
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    • pp.406-415
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    • 2012
  • The corrosion inhibition of copper-nickel alloy by Ethylenediamine (EDA) and Diethylenetriamine (DETA) in 1.5M HCl has been investigated by weight loss technique at different temperatures. Maximum value of inhibitor efficiency was 75% at $35^{\circ}C$ and 0.2 M inhibitor concentration EDA, while the lower value was 4% at $35^{\circ}C$ and 0.01 M inhibitor concentration DETA. Two mathematical models were used to represent the corrosion rate data, second order polynomial model and exponential model respectively. Nonlinear regression analysis showed that the first model was better than the second model with high correlation coefficient. The reactivity of studied inhibitors was analyzed through theoretical calculations based on density functional theory (DFT). The results showed that the reactive sites were located on the nitrogen (N1, N2 and N4) atoms.

반응표면분석법을 이용한 석탄회로 합성한 제올라이트 X에서의 Sr 이온 제거특성 (Adsorption Characteristics of Sr Ions by Coal Fly Ash-Based-Zeolite X using Response Surface Modeling Approach)

  • 이창한;감상규;이민규
    • 한국환경과학회지
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    • 제26권6호
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    • pp.719-728
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    • 2017
  • In order to investigate the adsorption characteristics for Sr ion using the Na-X zeolite synthesized from coal fly ash, batch tests and response surface analyses were carried out. The adsorption kinetic data for Sr ions, using Na-X zeolite, fitted well with the pseudo-second-order model. The uptake of Sr ions followed the Langmuir isotherm model, with a maximum adsorption capacity of 196.46 mg/g. Thermodynamic studies were conducted at different reaction temperatures, with the results indicating that Sr ion adsorption by Na-X zeolite was an endothermic (${\Delta}H^o$>0) and spontaneous (${\Delta}G^o$<0) process. Using the response surface methodology of the Box-Behnken method, initial Sr ion concentration ($X_1$), initial temperature ($X_2$), and initial pH ($X_3$) were selected as the independent variables, while the adsorption of Sr ions by Na-X zeolite was selected as the dependent variable. The experimental data fitted well with a second-order polynomial equation by multiple regression analysis. The value of the determination coefficient ($R^2=0.9937$) and the adjusted determination coefficient (adjusted $R^2=0.9823$) was close to 1, indicating high significance of the model. Statistical results showed the order of Sr removal based on experimental factors to be initial pH > initial concentration > temperature.

FNN에 기초한 Fuzzy Self-organizing Neural Network(FSONN)의 구조와 알고리즘의 구현 (The Implementation of the structure and algorithm of Fuzzy Self-organizing Neural Networks(FSONN) based on FNN)

  • 김동원;박병준;오성권
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 춘계학술대회 학술발표 논문집
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    • pp.114-117
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    • 2000
  • In this paper, Fuzzy Self-organizing Neural Networks(FSONN) based on Fuzzy Neural Networks(FNN) is proposed to overcome some problems, such as the conflict between ovefitting and good generation, and low reliability. The proposed FSONN consists of FNN and SONN. Here, FNN is used as the premise part of FSONN and SONN is the consequnt part of FSONN. The FUN plays the preceding role of FSONN. For the fuzzy reasoning and learning method in FNN, Simplified fuzzy reasoning and backpropagation learning rule are utilized. The number of layers and the number of nodes in each layers of SONN that is based on the GMDH method are not predetermined, unlike in the case of the popular multi layer perceptron structure and can be generated. Also the partial descriptions of nodes can use various forms such as linear, modified quadratic, cubic, high-order polynomial and so on. In this paper, the optimal design procedure of the proposed FSONN is shown in each step and performance index related to approximation and generalization capabilities of model is evaluated and also discussed.

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