• Title/Summary/Keyword: 특이치 문제

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Finite Element Solution of Helmholtz Equation for Free Harbor Oscillation (항만 고유 진동 해석을 위한 Helmholtz 방정식의 유한요소 해법)

  • Ryu, Yeon Sun;Lee, Byung Gul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.47-54
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    • 1993
  • For the numerical analysis of free oscillation characteristics in a harbor with general boundary and bottom topography, finite element method is applied. The governing Helmholtz equation is transformed into a generalized matrix eigenvalue problem using the standard finite element procedure. A computer code is developed for the numerical evaluation of natural frequencies and free oscillation modes. In the eigensolution process, a shifting strategy is devised for the treatment of numerical singularity. Scaling of coefficient matrix is also found to be effective for the alleviation of numerical ill-conditioning. For the test problems, firstly, analytical and numerical solutions are compared and validity of the code is obtained. Hence the method is successfully applicable for the real-world problems with general geometric boundaries and bottom topography.

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Medical Image Watermarking Using Mallat Wavelet Transform (Mallat 웨이브릿 변환을 이용한 의료 영상 워터마킹)

  • 고창림;조진호
    • Journal of Biomedical Engineering Research
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    • v.23 no.2
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    • pp.81-85
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    • 2002
  • In this paper, a new fragi1e watermarking algorithm for medical images is proposed. It makes possible to resolve the security and forgery problem of the medical images. In the proposed algorithm. the singularity which represents the inherent characteristic of the medical image is extracted and used as watermark. To extract the singularity point. we adopted Mallat wavelet transform because it can describe the edge of image exactly. Mallat wavelet transform produces horizontal and vertical subbands of the same resolution with the original image. The magnitude and phase components of the edge are obtained using these subbands. Based on the magnitude and phase components. LMM which will be used as watermark is determined. As LMM is the inherent singularity of image, if any forgery is applied to medical image, LMM of original and forged image are different each other Detecting the changes of LMM for the two images makes it possible whether any image is undergone forgery or not From the experimental results, we conformed that the proposed algorithm detects the forged area of the image very well.

Proof of equivalence of solutions of boundary integral and variational equations of the linear elasticity problem (선형 탄성 문제의 경계적분식 해와 변분해의 동등성 증명)

  • 유영면;박찬우;권길헌
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.6
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    • pp.1001-1004
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    • 1987
  • In this study mathematical properties of variational solution and solution of the boundary integral equation of the linear elasticity problem are studied. It is first reviewed that a variational solution for the three-dimensional linear elasticity problem exists in the Sobolev space [ $H^{1}$(.OMEGA.)]$^{3}$ and, then, it is shown that a unique solution of the boundary integral equation is identical to the variational solution in [ $H^{1}$(.OMEGA.)]$^{3}$. To represent the boundary integral equation, the Green's formula in the Sobolev space is utilized on the solution domain excluding a ball, with small radius .rho., centered at the point where the point load is applied. By letting .rho. tend to zero, it is shown that, for the linear elasticity problem, boundary integral equation is valid for the variational solution. From this fact, one can obtain a numerical approximatiion of the variational solution by the boundary element method even when the classical solution does not exist.exist.

Solution of Eigenvalue Problems for Nonclassically Damped Systems with Multiple Frequencies (중복근을 갖는 비비례 감쇠시스템의 고유치 해석)

  • 김만철;정형조;오주원;이인원
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.205-216
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    • 1998
  • A solution method is presented to solve the eigenvalue problem arising in the dynamic analysis of nonclassicary damped structural systems with multiple eigenvalues. The proposed method is obtained by applying the modified Newton-Raphson technique and the orthonormal condition of the eigenvectors to the linear eigenproblem through matrix augmentation of the quadratic eigenvalue problem. In the iteration methods such as the inverse iteration method and the subspace iteration method, singularity may be occurred during the factorizing process when the shift value is close to an eigenvalue of the system. However, even though the shift value is an eigenvalue of the system, the proposed method provides nonsingularity, and that is analytically proved. Since the modified Newton-Raphson technique is adopted to the proposed method, initial values are need. Because the Lanczos method effectively produces better initial values than other methods, the results of the Lanczos method are taken as the initial values of the proposed method. Two numerical examples are presented to demonstrate the effectiveness of the proposed method and the results are compared with those of the well-known subspace iteration method and the Lanczos method.

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Feature Vector Extraction and Classification Performance Comparison According to Various Settings of Classifiers for Fault Detection and Classification of Induction Motor (유도 전동기의 고장 검출 및 분류를 위한 특징 벡터 추출과 분류기의 다양한 설정에 따른 분류 성능 비교)

  • Kang, Myeong-Su;Nguyen, Thu-Ngoc;Kim, Yong-Min;Kim, Cheol-Hong;Kim, Jong-Myon
    • The Journal of the Acoustical Society of Korea
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    • v.30 no.8
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    • pp.446-460
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    • 2011
  • The use of induction motors has been recently increasing with automation in aeronautical and automotive industries, and it playes a significant role. This has motivated that many researchers have studied on developing fault detection and classification systems of an induction motor in order to minimize economical damage caused by its fault. With this reason, this paper proposed feature vector extraction methods based on STE (short-time energy)+SVD (singular value decomposition) and DCT (discrete cosine transform)+SVD techniques to early detect and diagnose faults of induction motors, and classified faults of an induction motor into different types of them by using extracted features as inputs of BPNN (back propagation neural network) and multi-layer SVM (support vector machine). When BPNN and multi-lay SVM are used as classifiers for fault classification, there are many settings that affect classification performance: the number of input layers, the number of hidden layers and learning algorithms for BPNN, and standard deviation values of Gaussian radial basis function for multi-layer SVM. Therefore, this paper quantitatively simulated to find appropriate settings for those classifiers yielding higher classification performance than others.

Stress Singularity Behaviour in the Frictional Complete Contact Problem of Three Bodies (세 물체 간 마찰 완전 접촉 문제의 응력 특이성 거동)

  • Kim, Hyung-Kyu
    • Tribology and Lubricants
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    • v.35 no.4
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    • pp.229-236
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    • 2019
  • This study investigates the stress singularity that occurs at the contact edge of three bodies in a frictional complete contact. We use the asymptotic analysis method, wherein we constitute an eigenvalue problem and observe the eigenvalue behavior, which we use to obtain the order of the stress singularity. For the present geometry of three bodies in contact, a contact between a cracked indenter and half plane is considered. This is a typical geometry of the PCMI problem of a nuclear fuel rod. Thus, this paper, specifically presents the characteristics of the PCMI problem from the perspective of stress singularity. Consequently, it is noted that the behavior of the stress singularity varies with the difference in the crack angle, coefficient of friction, and material dissimilarity, as is observed in a frictional complete contact of two bodies. In addition, we find that the stress singularity changes essentially linearly with respect to the coefficient of friction, regardless of the variation in the crack angle and material dissimilarity. Concurrently, we find the order of singularity to be 0.5 at a certain coefficient of friction, irrespective of the crack angle, which we also observe in the crack problem of a homogeneous and isotropic body. The order of singularity can also exceed 0.5 in the frictional complete contact problem of three bodies. This implies that the propensity for failure when three bodies are in frictional complete contact can be even worse than that in case of a failure induced by a crack.

Fouling Mitigation of Heat Exchangers (열교환기 Fouling의 저감 대책)

  • 이윤표;이신표
    • Journal of the KSME
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    • v.35 no.9
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    • pp.836-847
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    • 1995
  • 파울링은 열교환기에 형성되는 열저항으로 에너지 손실에 많은 영향을 미친다. 그러나 파울링은 그 예측이나 감소 또는 제거가 매우 어려운 것으로 인식되어 왔다. 작동유체자체를 철결하게 유지함으로써 파울링을 감소할 수도 있으나 작동유체 자체의 특성 때문에 본질적으로 작동유체를 청결하게 유지할 수 없는 경우가 대부분이다. 즉, 폐열 회수의 대상이 되는 액체가 하천수나 생 활하수인 경우 작동액체를 청결하게 유지함으로써 파을링을 저감시피는 방법은 타당치 않다.일 본의 폐얼회수 프로젝트와 담수화 프로젝트에서 특이한 점은 두 가지 프로젝트에서 열교환기면의 파울링 문제 해경을 전열 촉진의 내용과 거의 비슷한 비중으로 다루고 있다는 점이다. 파울링은 오래 전부터 열시스템설계자의 주요 관심사였으나 큰 진전은 없었다. 그러나 현재는 주변기술이 발달로 더 이상 연구 불가능 영역은 아닐 듯 싶다.

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Production of Monoclonal Antibodies to Phytohormones and Its Application (식물홀몬에 대한 단클론성 항체 생산과 이용)

  • 황태익
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.34 no.s01
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    • pp.48-54
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    • 1989
  • An immunoassay techniques using monoclonal antibodies have been developed of the quantitative analysis of endogenous hormones in plants. In order to be useful for immunoassay, both a high degree of specificity and a high affinity are required. A system is described for production of hybridomas which secrete antibodies against the plant hormone. Using the system we were able to produce hybridmas with the desired antibody specificity by cell fusion and culture method. For a number of obvious reasons, monoclonal antibodies(mAb) were superior to polyclonal antibodies.

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Elasto-Plastic Analysis for J-integral Evaluation of Unstable Fracture in Cracked Ductile Materials (균열재(龜裂材)의 불안정연성파괴(不安定延性破壞)에 대한 J 적분(J積分) 평가(評價)를 위한 탄소성해석(彈塑性解析))

  • Chang, Dong Il;Jung, Kyoung Sup
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.1
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    • pp.75-82
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    • 1987
  • It is the objective of this study to estimate J-integral by numerical analysis, in which J-integral as aparameters in fracture mechanics can be used to evaluate unstable ductile fracture which is a important problem with respect to structural stability when the scope is beyond small scale yielding criteria. For this, 8-node isoparametric singular element as crack tip element of a cracked material was used to solve plastic blunting phenomenon at crack tip, and crack opening was forced to start when J-value was exceeding fracture toughness $J_{IC}$ of the material. And crack propagation behaviour was treated by using crack opening angle. From this study, it was shown that crack opening, stable propagation and unstable opening point of the cracked material found by using J-value obtained from this study were accord with the other study, so think, J-value obtained from this study can be directly used as a parameter in fracture mechanics to deal with the problem of stable propagation of crack and unstable ductile fracture.

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A Hybrid SVM Classifier for Imbalanced Data Sets (불균형 데이터 집합의 분류를 위한 하이브리드 SVM 모델)

  • Lee, Jae Sik;Kwon, Jong Gu
    • Journal of Intelligence and Information Systems
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    • v.19 no.2
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    • pp.125-140
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    • 2013
  • We call a data set in which the number of records belonging to a certain class far outnumbers the number of records belonging to the other class, 'imbalanced data set'. Most of the classification techniques perform poorly on imbalanced data sets. When we evaluate the performance of a certain classification technique, we need to measure not only 'accuracy' but also 'sensitivity' and 'specificity'. In a customer churn prediction problem, 'retention' records account for the majority class, and 'churn' records account for the minority class. Sensitivity measures the proportion of actual retentions which are correctly identified as such. Specificity measures the proportion of churns which are correctly identified as such. The poor performance of the classification techniques on imbalanced data sets is due to the low value of specificity. Many previous researches on imbalanced data sets employed 'oversampling' technique where members of the minority class are sampled more than those of the majority class in order to make a relatively balanced data set. When a classification model is constructed using this oversampled balanced data set, specificity can be improved but sensitivity will be decreased. In this research, we developed a hybrid model of support vector machine (SVM), artificial neural network (ANN) and decision tree, that improves specificity while maintaining sensitivity. We named this hybrid model 'hybrid SVM model.' The process of construction and prediction of our hybrid SVM model is as follows. By oversampling from the original imbalanced data set, a balanced data set is prepared. SVM_I model and ANN_I model are constructed using the imbalanced data set, and SVM_B model is constructed using the balanced data set. SVM_I model is superior in sensitivity and SVM_B model is superior in specificity. For a record on which both SVM_I model and SVM_B model make the same prediction, that prediction becomes the final solution. If they make different prediction, the final solution is determined by the discrimination rules obtained by ANN and decision tree. For a record on which SVM_I model and SVM_B model make different predictions, a decision tree model is constructed using ANN_I output value as input and actual retention or churn as target. We obtained the following two discrimination rules: 'IF ANN_I output value <0.285, THEN Final Solution = Retention' and 'IF ANN_I output value ${\geq}0.285$, THEN Final Solution = Churn.' The threshold 0.285 is the value optimized for the data used in this research. The result we present in this research is the structure or framework of our hybrid SVM model, not a specific threshold value such as 0.285. Therefore, the threshold value in the above discrimination rules can be changed to any value depending on the data. In order to evaluate the performance of our hybrid SVM model, we used the 'churn data set' in UCI Machine Learning Repository, that consists of 85% retention customers and 15% churn customers. Accuracy of the hybrid SVM model is 91.08% that is better than that of SVM_I model or SVM_B model. The points worth noticing here are its sensitivity, 95.02%, and specificity, 69.24%. The sensitivity of SVM_I model is 94.65%, and the specificity of SVM_B model is 67.00%. Therefore the hybrid SVM model developed in this research improves the specificity of SVM_B model while maintaining the sensitivity of SVM_I model.