• 제목/요약/키워드: Second derivative

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확률론적 파괴역학 및 Size Effect Law에 적용을 위한 다중 균열 구조물에서의 에너지 해방률의 고차 미분값 계산 (Computation of the Higher Order Derivatives of Energy Release Rates in a Multiply Cracked Structure for Probabilistic Fracture Mechanics and Size Effect Law)

  • 황찬규
    • 한국전산구조공학회논문집
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    • 제21권4호
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    • pp.391-399
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    • 2008
  • 본 논문에서는 다중 균열 구조물에서의 균열 진전에 따른 에너지 해방을 및 고차 미분값을 구할 수 있는 가상균열 진전법을 제시한다. 이 방법은 다중 균열 체계의 에너지 해방율과 고차 미분값이 단 한번의 해석으로 수행될 수 있는 장점이 있다. 예제에서 얻어진 해의 최대 오차는 에너지 해방율 0.2%, 일차 미분값 $2\sim3%$, 이차 미분값 $5\sim10%$이다 이 방법으로 구한 에너지 해방률의 미분값들은 파괴 확률을 구하거나, sire effect law에 적용될 수 있다.

키틴 유도체와 하이드록시아페타이트 복합체가 개의 뼈에 미치는 영향 (The Effects of Chitin Derivative and Hydroxyapatite Compound in Canine Bone)

  • 이해범;신승호;김민수;이기창;정용식;김남수
    • 한국임상수의학회지
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    • 제25권5호
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    • pp.370-378
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    • 2008
  • The aim of this study was to investigate bioactivities of 50% Chitin - hydroxyapatite (Chitin-H) compound and 50% Chitosan - hydroxyapatite (Chitosan-H) compound in canine bone. Ten healthy mongrel dogs (1-5 years old, 1.7 - 6.9 kg) were used in this study. These compounds had been transplanted into bilateral femur separately, and then the changes of femur were observed through the examinations of hemato-biochemical profiles, radiology, and histological profiles for 42 days. After 3 weeks, expanded radiolucent changes were observed in both areas transplanted the compounds. After 6 weeks, the area transplanted the Chitin-H compound did not observe any changes of bony tissue, while the area inserted the Chitosan-H compound was observed changes of increasing bone formation. In histological examination, infiltrations of inflammatory cells and bone absorptions were observed at both transplanted sites. However an increasing of active osteogenesis was observed at the transplanted site with Chitosan-H compound. In conclusion, Chitosan-H compound had an function of active osteogenesis as compared with Chitin-H compound. From this study, it is indicated that Chitosan-H compound would be used in dogs with severe bone defect.

Near infrared spectroscopy for classification of apples using K-mean neural network algorism

  • Muramatsu, Masahiro;Takefuji, Yoshiyasu;Kawano, Sumio
    • 한국근적외분광분석학회:학술대회논문집
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    • 한국근적외분광분석학회 2001년도 NIR-2001
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    • pp.1131-1131
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    • 2001
  • To develop a nondestructive quality evaluation technique of fruits, a K-mean algorism is applied to near infrared (NIR) spectroscopy of apples. The K-mean algorism is one of neural network partition methods and the goal is to partition the set of objects O into K disjoint clusters, where K is assumed to be known a priori. The algorism introduced by Macqueen draws an initial partition of the objects at random. It then computes the cluster centroids, assigns objects to the closest of them and iterates until a local minimum is obtained. The advantage of using neural network is that the spectra at the wavelengths having absorptions against chemical bonds including C-H and O-H types can be selected directly as input data. In conventional multiple regression approaches, the first wavelength is selected manually around the absorbance wavelengths as showing a high correlation coefficient between the NIR $2^{nd}$ derivative spectrum and Brix value with a single regression. After that, the second and following wavelengths are selected statistically as the calibration equation shows a high correlation. Therefore, the second and following wavelengths are selected not in a NIR spectroscopic way but in a statistical way. In this research, the spectra at the six wavelengths including 900, 904, 914, 990, 1000 and 1016nm are selected as input data for K-mean analysis. 904nm is selected because the wavelength shows the highest correlation coefficients and is regarded as the absorbance wavelength. The others are selected because they show relatively high correlation coefficients and are revealed as the absorbance wavelengths against the chemical structures by B. G. Osborne. The experiment was performed with two phases. In first phase, a reflectance was acquired using fiber optics. The reflectance was calculated by comparing near infrared energy reflected from a Teflon sphere as a standard reference, and the $2^{nd}$ derivative spectra were used for K-mean analysis. Samples are intact 67 apples which are called Fuji and cultivated in Aomori prefecture in Japan. In second phase, the Brix values were measured with a commercially available refractometer in order to estimate the result of K-mean approach. The result shows a partition of the spectral data sets of 67 samples into eight clusters, and the apples are classified into samples having high Brix value and low Brix value. Consequently, the K-mean analysis realized the classification of apples on the basis of the Brix values.

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電子回路의 DC 및 過渡解析을 위한 2次 Newton-Raphson 方法 (Quadratic Newton-Raphson Method for DC and Transient Analyses of Electronic Circuits)

  • 전영현;이기준;박송배
    • 대한전자공학회논문지
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    • 제26권1호
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    • pp.122-128
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    • 1989
  • 본 논문에서는 회로해석 중에서 DC및 과도(transient)해석에 필요한 비선형 대수 방정식을 풀기 위한 새로운 방법으로서 Quadratic Newton Raphson Method(QNRM)을 제안한다. QNRM은 Newtok-Raphson method(NRM)에 기본을 두고 있지만, 비선형 대수 방정식의 Taylor 급수 전개에서 2차 미분항을 포함한다. 각 반복 과정에서 미지수에 관한 2차식이 되는데 해를 예측함으로서 선형화 할 수 있다. QNRM의 수렴속도를 올리기 위해서는 이 해의 정확한 예측이 매우 중요하명 그 한 방법을 제시하였다. QNRM을 DC및 과도해석에 적용한 결과 NRM을 사용한 것보다 계산시간 및 반복횟우에 있어서 25% 이상 감소됨을 보여주었다.

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Target segmentation in non-homogeneous infrared images using a PCA plane and an adaptive Gaussian kernel

  • Kim, Yong Min;Park, Ki Tae;Moon, Young Shik
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권6호
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    • pp.2302-2316
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    • 2015
  • We propose an efficient method of extracting targets within a region of interest in non-homogeneous infrared images by using a principal component analysis (PCA) plane and adaptive Gaussian kernel. Existing approaches for extracting targets have been limited to using only the intensity values of the pixels in a target region. However, it is difficult to extract the target regions effectively because the intensity values of the target region are mixed with the background intensity values. To overcome this problem, we propose a novel PCA based approach consisting of three steps. In the first step, we apply a PCA technique minimizing the total least-square errors of an IR image. In the second step, we generate a binary image that consists of pixels with higher values than the plane, and then calculate the second derivative of the sum of the square errors (SDSSE). In the final step, an iteration is performed until the convergence criteria is met, including the SDSSE, angle and labeling value. Therefore, a Gaussian kernel is weighted in addition to the PCA plane with the non-removed data from the previous step. Experimental results show that the proposed method achieves better segmentation performance than the existing method.

Study the Electrochemical Reduction of Some Triazines in N,N-Dimethylformamide at Glassy Carbon Electrode

  • Fotouhi, L.;Farzinnegad, N.;Heravi, M.M.;Khaleghi, Sh.
    • Bulletin of the Korean Chemical Society
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    • 제24권12호
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    • pp.1751-1756
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    • 2003
  • An electrochemical study related to the electroreduction of 4-amino-6-methyl-3-thio-1,2,4-triazin-5-one(I), 6-methyl-3-thio-1,2,4-triazin-5-one(II), and 2,4-dimetoxy-6-methyl-1,3,5-triazine(III) in dimethylformamide at glassy carbon electrode has been performed. A variety of electrochemical techniques, such as differential pulse voltammetry (DPV), cyclic voltammetry (CV), chronoamperometry, and coulometry were employed to clarify the mechanism of the electrode process. The compounds I and II with thiol group exhibited similar redox behavior. Both displayed two cathodic peaks, whereas the third compound, III, without thiol group showed only one cathodic peak in the same potential range of the second peak of I and II. The results of this study suggest that in the first step the one electron reduction of thiol produced a disulfide derivative and in the second reduction step the azomethane in the triazine ring was reduced in two electron processes. A reduction mechanism for all three compounds is proposed on this basis. In addition, some numerical constants, such as diffusion constant, transfer coefficient, and rate constant of coupled chemical reaction in the first reduction peak were also reported.

교대 기초말뚝의 측방유동 판정식에 관한 신뢰성 해석 (Reliability Analysis on the Decision Method of Lateral Flow of Foundation Piles for Abutment)

  • 안종필;김규덕;김일구;최진호
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 추계 학술발표회
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    • pp.1090-1097
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    • 2008
  • This study conducted the decision method of lateral flow in abutment structures founded on the soft soils and the reliability analysis on the foundation pile for abutment. On the basis of the results, this study proposed the reliability design model. Reliability analysis was conducted by applying second moment method, point estimation method, and expected total cost minimization to lateral movement index, lateral movement decision index, modified lateral movement decision index, and circular failure safety factor for the decision criteria of lateral flow. The reliability index by analysis method had a similar tendency each other. Point estimation method was found as a practical method in the aspect of convenience because it could conduct the analysis only by mean and standard deviation as well as the partial derivative on random variables was not necessary. Optimum reliability index and optimum safety according to increasing in failure factors and load ratio were analyzed and loads and resistance factors of the design criteria of optimum reliability were estimated. It presented rational design model which can consider construction level and stability and economical efficiency overall.

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Hermite 유동함수법에 의한 정사각형 공동 내부의 자연대류 유동계산 (COMPUTATIONS OF NATURAL CONVECTION FLOW WITHIN A SQUARE CAVITY BY HERMITE STREAM FUNCTION METHOD)

  • 김진환
    • 한국전산유체공학회지
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    • 제14권4호
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    • pp.67-77
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    • 2009
  • This paper is a continuation of a recent development on the Hermite-based divergence-free element method and deals with a non-isothermal fluid flow driven by the buoyancy force in a square cavity with temperature difference across the two sides. Two Hermite functions are considered for numerical computations in this paper. One is a cubic function and the other is a quartic function. The degrees-of-freedom of the cubic Hermite function are stream function and its first and second derivatives for the velocity field, and temperature and its first derivatives for the temperature field. The degrees-of-freedom of the quartic Hermite function include two second derivatives and one cross derivative of the stream function in addition to the degrees-of-freedom of the cubic stream function. This paper presents a brief review on the Hermite based divergence-free basis functions and its finite element formulations for the buoyancy driven flow. The present algorithm does not employ any upwinding or a stabilization term. However, numerical values and contour graphs for major flow variables showed good agreements with those by De Vahl Davis[6].

Vibrations of an axially accelerating, multiple supported flexible beam

  • Kural, S.;Ozkaya, E.
    • Structural Engineering and Mechanics
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    • 제44권4호
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    • pp.521-538
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    • 2012
  • In this study, the transverse vibrations of an axially moving flexible beams resting on multiple supports are investigated. The time-dependent velocity is assumed to vary harmonically about a constant mean velocity. Simple-simple, fixed-fixed, simple-simple-simple and fixed-simple-fixed boundary conditions are considered. The equation of motion becomes independent from geometry and material properties and boundary conditions, since equation is expressed in terms of dimensionless quantities. Then the equation is obtained by assuming small flexural rigidity. For this case, the fourth order spatial derivative multiplies a small parameter; the mathematical model converts to a boundary layer type of problem. Perturbation techniques (The Method of Multiple Scales and The Method of Matched Asymptotic Expansions) are applied to the equation of motion to obtain approximate analytical solutions. Outer expansion solution is obtained by using MMS (The Method of Multiple Scales) and it is observed that this solution does not satisfy the boundary conditions for moment and incline. In order to eliminate this problem, inner solutions are obtained by employing a second expansion near the both ends of the flexible beam. Then the outer and the inner expansion solutions are combined to obtain composite solution which approximately satisfying all the boundary conditions. Effects of axial speed and flexural rigidity on first and second natural frequency of system are investigated. And obtained results are compared with older studies.

Salt and Pepper 잡음 영상에서 변형된 마스크를 이용한 에지 검출 알고리즘에 관한 연구 (A Study on Edge Detection Algorithm using Modified Mask in Salt and Pepper Noise Images)

  • 이창영;김남호
    • 한국정보통신학회논문지
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    • 제18권1호
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    • pp.210-216
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    • 2014
  • 영상에서 에지는 물체와 물체 사이 또는 배경과 물체 사이에 나타나는 밝기 변화가 급격한 부분이며, 대상의 크기, 위치, 방향, 질감 등의 특징 정보를 포함한다. 에지 검출은 이러한 영상 정보를 획득하는 기술이며, 에지를 검출하기 위한 연구가 활발히 진행되고 있다. 대표적인 기존의 에지 검출 방법은 1차 미분 연산자를 이용한 Sobel, Prewitt, Roberts 및 2차 미분 연산자를 이용한 Laplacian 방법 등이 있다. 이러한 방법들은 salt and pepper 잡음에 훼손된 영상에서 에지 검출 특성이 다소 미흡하다. 따라서 본 논문에서는 국부 마스크의 잡음 밀도에 따라 처리 마스크 크기를 다르게 적용하는 변형된 마스크를 이용한 에지 검출 알고리즘을 제안하였다.