• 제목/요약/키워드: Polynomial Function

검색결과 798건 처리시간 0.023초

단순 우성 중성자 수송방정식을 이용한 노달 수송해법 (Nodal Transport Methods Using the Simplified Even-Parity Neutron Transport Equation)

  • 노태완
    • 방사성폐기물학회지
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    • 제16권2호
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    • pp.211-221
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    • 2018
  • 중성자 확산방정식에 대해 개발된 노달 확산이론을 단순 우성 중성자 수송방정식에 적용할 수 있는 노달 수송이론을 제시한다. 노달이론으로 다항식전개 노달법과 해석함수전개 노달법을 채택하였고 단순 우성 수송방정식은 수송방정식에 대한 합리적 근사이며 기존의 노달해법이 방향 차분된 단순 우성 수송방정식에 정확히 적용될 수 있음을 수치적으로 확인하였다. 본 연구에서는 방법론 개발이 목적이므로 노드 당 최소한의 미지수를 정의하여 사용했지만 미지수를 추가함으로써 정확도를 증가시킬 수 있음은 기존의 노달 확산이론의 경우와 같다. 즉 중성자 수송방정식에 대해 노달이론을 적용하여 소격격자에 대해 계산 정확성이 확보되고 이는 결국 계산 효율성 증대로 나타난다.

Evaluation of energy correction algorithm for signals of PET in heavy-ion cancer therapy device

  • Niu, Xiaoyang;Yan, Junwei;Wang, Xiaohui;Yang, Haibo;Ke, Lingyun;Chen, Jinda;Du, Chengming;Zhang, Xiuling;Zhao, Chengxin;Kong, Jie;Su, Hong
    • Nuclear Engineering and Technology
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    • 제52권1호
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    • pp.101-108
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    • 2020
  • In order to solve the contradiction between requirements of high sampling rate for acquiring accurate energy information of pulses and large amount of data to be processed timely, the method with an algorithm to correct errors caused by reducing the sampling rate is normally used in front-end read-out system, which is conductive to extract accurate energy information from digitized waveform of pulse. The functions and effects of algorithms, which mainly include polynomial fitting with different fitting times, double exponential function fitting under different sampling modes, and integral area algorithm, are analyzed and evaluated, and some meaningful results is presented in this paper. The algorithm described in the paper has been used preliminarily in a prototype system of Positron Emission Tomography (PET) for heavy-ion cancer therapy facility.

보강재가 평판 진동 및 음향 특성에 미치는 영향 (Effects of Stiffeners on Vibro-acoustic Response of Rectangular Flat Plate)

  • 박정원;김동규;구만회;박준홍
    • 한국소음진동공학회논문집
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    • 제21권7호
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    • pp.622-628
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    • 2011
  • The purpose of this study was to analyze the vibro-acoustic characteristics of a stiffened rectangular plate at high frequencies. The stiffeners attached along the plate surface were assumed to have rotational and translational stiffness and inertia. The harmonic response of the stiffened plate were predicted and compared using the Rayleigh-Ritz method with two different trial functions - polynomial and beam functions. The variation of the spatially averaged mean square velocity and the modal characteristics with the number of stiffeners were obtained. The use of the beam function ensured fast convergence which was essential for analyzing the high frequency vibration responses. Using the calculated modal characteristics and the Rayleigh-integral, the radiated sound power was predicted, and the effects of stiffeners were investigated. The proposed model can be applied to study optimal layout of stiffeners for minimal noise generation of the stiffened structures.

Effects of Ohmic Thawing on the Physicochemical Properties of Frozen Pork

  • Kim, Jee-Yeon;Hong, Geun-Pyo;Park, Sung-Hee;Lee, Sung;Min, Sang-Gi
    • Food Science and Biotechnology
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    • 제15권3호
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    • pp.374-379
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    • 2006
  • This study was carried out to investigate the physicochemical properties of frozen pork muscle which has been thawed using the ohmic thawing process, and to establish the optimal ohmic power intensity. The samples were frozen at $-40^{\circ}C$ and thawed at 0, 10, 20, 30, and 40 V by ohmic thawing. Increasing ohmic power intensity correlated with increased thawing rates. The relationship between ohmic power intensity and thawing rate can be represented as a polynomial function. The pH value decreased with increasing ohmic power intensity (p<0.05). With regard to color measurement, the $L^*$, a, and b values of thawing at all ohmic power intensities were not significantly different. The water holding capacity showed a peak value of 41.62% with an ohmic thawing intensity of 30 V. Cooking losses were lowest at the lowest ohmic thawing intensity of 10 V. Thiobarbituric acid reactive substance (TBARS) levels with all thawing processes were slightly higher than that of the control (p<0.05). Increasing ohmic power intensity did not tend to change the total volatile basic nitrogen (TVBN) value.

전단변형함수에 따른 역대칭 앵글-플라이 복합면재를 갖는 샌드위치판의 휨거동 평가 (Bending Assessment of Antisymmetric Angle-ply Composite Sandwich Plates with Various Shear Deformation Functions)

  • 박원태;천경식
    • 한국산학기술학회논문지
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    • 제12권11호
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    • pp.5347-5356
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    • 2011
  • 본 연구에서는 Lagrangian/Hermite 보간함수를 혼합정식화한 유한요소법과 다양한 전단변형함수로 역대칭 앵글-플라이 샌드위치판 모델을 비교하였다. 제시된 전단변형함수는 판의 상하면에서 전단응력이 0이 되는 다항식, 삼각함수, 쌍곡삼각함수 및 지수함수로 구성되어 있다. 모든 전단변형함수는 해석해(Analytical solution)와 비교하였으며, 합리적인 정확도를 갖는 것으로 예측되었다. 특히, 지수형태의 전단변형함수가 복합면재를 갖는 샌드위치판 해석에 있어서 상대적으로 가장 우수한 결과를 보였다.

Optimization approach applied to nonlinear analysis of raft-pile foundations

  • Tandjiria, V.;Valliappan, S.;Khalili, N.
    • Structural Engineering and Mechanics
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    • 제7권6호
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    • pp.533-550
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    • 1999
  • Optimal design of raft-pile foundations is examined by combining finite element technique and the optimization approach. The piles and soil medium are modeled by three dimensional solid elements while the raft is modelled by shell elements. Drucker-Prager criterion is adopted for the soil medium while the raft and the piles are assumed to be linear elastic. For the optimization process, the approximate semi-analytical method is used for calculating constraint sensitivities and a constraint approximation method which is a combination of the extended Bi-point approximation and Lagrangian polynomial approximation is used for predicting the behaviour of the constraints. The objective function of the problem is the volume of materials of the foundation while the design variables are raft thickness, pile length and pile spacing. The generalized reduced gradient algorithm is chosen for solving the optimization process. It is demonstrated that the method proposed in this study is promising for obtaining optimal design of raft-pile foundations without carrying out a large number of analyses. The results are also compared with those obtained from the previous study in which linear analysis was carried out.

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.

조선분야의 축적된 데이터 활용을 위한 유전적프로그래밍에서의 선형(Linear) 모델 개발 (Implementing Linear Models in Genetic Programming to Utilize Accumulated Data in Shipbuilding)

  • 이경호;연윤석;양영순
    • 대한조선학회논문집
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    • 제42권5호
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    • pp.534-541
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    • 2005
  • Until now, Korean shipyards have accumulated a great amount of data. But they do not have appropriate tools to utilize the data in practical works. Engineering data contains experts' experience and know-how in its own. It is very useful to extract knowledge or information from the accumulated existing data by using data mining technique This paper treats an evolutionary computation based on genetic programming (GP), which can be one of the components to realize data mining. The paper deals with linear models of GP for the regression or approximation problem when given learning samples are not sufficient. The linear model, which is a function of unknown parameters, is built through extracting all possible base functions from the standard GP tree by utilizing the symbolic processing algorithm. In addition to a standard linear model consisting of mathematic functions, one variant form of a linear model, which can be built using low order Taylor series and can be converted into the standard form of a polynomial, is considered in this paper. The suggested model can be utilized as a designing tool to predict design parameters with small accumulated data.

Residual ultimate strength of a very large crude carrier considering probabilistic damage extents

  • Choung, Joonmo;Nam, Ji-Myung;Tayyar, Gokhan Tansel
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제6권1호
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    • pp.14-26
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    • 2014
  • This paper provides the prediction of ultimate longitudinal strengths of the hull girders of a very large crude carrier considering probabilistic damage extent due to collision and grounding accidents based on IMO Guidelines (2003). The probabilistic density functions of damage extent are expressed as a function of non-dimensional damage variables. The accumulated probabilistic levels of 10%, 30%, 50%, and 70% are taken into account for the estimation of damage extent. The ultimate strengths have been calculated using the in-house software called Ultimate Moment Analysis of Damaged Ships which is based on the progressive collapse method, with a new convergence criterion of force vector equilibrium. Damage indices are provided for several probable heeling angles from $0^{\circ}$ (sagging) to $180^{\circ}$ (hogging) due to collision- and grounding-induced structural failures and consequent flooding of compartments. This paper proves from the residual strength analyses that the second moment of area of a damage section can be a reliable index for the estimation of the residual ultimate strength. A simple polynomial formula is also proposed based on minimum residual ultimate strengths.

잔여시간 추정에 따른 ZEM 기반 유도법칙의 특징 (Characteristic of ZEM Based Guidance Law with Time-to-go Estimation Methods)

  • 김태훈;박봉균
    • 한국항공우주학회지
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    • 제47권6호
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    • pp.429-437
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    • 2019
  • 본 논문에서는 이동표적을 요격하기 위한 ZEM(Zero-Effort-Miss) 기반의 유도법칙과 잔여시간(Time-to-go) 추정에 따른 유도명령의 특징을 살펴본다. 먼저, 가속도 명령을 미지수 계수를 포함한 잔여시간의 다항식 함수로 가정하고 이를 초기/종말 구속조건을 충족하도록 계수를 산출함으로써, 최종적으로 ZEM 벡터 되먹임 형태의 호밍 유도명령을 도출한다. 잔여시간의 추정방법에 따라 ZEM 벡터와 유도명령의 벡터방향이 결정되는 특징을 가지므로, 임의의 기준좌표계에 수직/수평하게 가속도 명령을 발생시키기 위한 일반적인 잔여시간 추정방법을 제안한다. 또한 제안한 유도법칙과 잔여시간 추정기법의 성능과 특징을 분석하기 위해 다양한 수치시뮬레이션을 수행하도록 한다.