• Proceedings of the KSME Conference
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• 2000.04a
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• pp.369-374
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• 2000

The buckling of two elastic layers bonded to a semi-infinite substrate under a transverse compressive plane strain is investigated. Incremental deformation theory is employed to describe the buckling behavior of both two isotropic layers and the semi-infinite substrate. The problem is converted to an eigenvalue-eigenvector case, from which the critical buckling strain and the wavelength of the buckled shape are obtained. The results are presented on the effects of the layer geometries and material properties on the buckling behavior.

• The Transactions of the Korean Institute of Electrical Engineers
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• v.36 no.11
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• pp.813-818
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• 1987

In this paper, high resolution spectral estimation by AR modelling and principal comonent analysis is proposed. The given data can be expanded by the eigenvectors of the estimated covariance matrix. The eigenspectrum is obtained for each eigenvector using the Autoressive(AR) spectral estimation technique. The final spectrum estimate is obtained by weighting each eigenspectrum with the corresponding eigenvalue and summing them. Although the proposed method increases in computational complexity, it shows good frequency resolution especially for short data records and narrow-band data whose signal-to-noise ratio is low.

• Bulletin of the Korean Mathematical Society
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• v.55 no.6
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• pp.1691-1701
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• 2018

New inclusion sets are obtained for the eigenvalues of real matrices for which the all 1's vector is an eigenvector, i.e., the constant row-sum real matrices. A number of examples are provided. This paper builds upon the work of the authors in [7]. The results of this paper are in terms of $Ger{\check{s}}gorin$ discs of the second type. An application of the main theorem to bounding the algebraic connectivity of connected simple graphs is obtained.

• Proceedings of the KSME Conference
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• 2003.04a
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• pp.491-496
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• 2003

In sensitivity analysis, semi-analytical method(SAM) reveals severe inaccuracy problem when relatively large rigid body motions are identified for individual elements. Recently such errors of SAM resulted by the finite difference scheme have been improved by the separation of rigid body mode. But the eigenvalue should be obtained first before the sensitivity analysis is performed and it takes much time in the case that large system is considered. In the present study, by constructing a reduced one from the original system, iterative method combined with mode decomposition technique is proposed to compute reliable semi-analytical design sensitivities. The sensitivity analysis is performed by the eigenvector acquired from the reduced system. The error of SAM caused by difference scheme is alleviated by Von Neumann series approximation.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.133-152
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• 2004

In this paper, we discuss students' conceptual development of eigen value and eigen vector in differential equation course based on reformed differential equation using the mathematical model of mass spring according to historico-generic principle. Moreover, in setting of small group interactive learning, we investigate the students' development of mathematical attitude.

• Communications of Mathematical Education
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• v.22 no.4
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• pp.459-469
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• 2008

We give a mathematical approach using Linear Algebra, especially largest eigenvalue and eigenvector on decision making support system. We find a mathematical modeling on decision making problem which could be solved by AHP(Analytic Hierarchy Process) method. Especially, we give a new approach to change evaluation indicator weight on assessing research proposals.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.10 no.5
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• pp.972-978
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• 2009

In order to achieve color constancy, this paper proposes a method that can detect an invariant direction that affects formation of an intrinsic image significantly, using eigenvector in the $\chi$-chromaticity space. Firstly, image is converted into datum in the $\chi$-chromaticity space which was suggested by Finlayson et al. Secondly, it removes datum, like noises, with low probabilities that may affect an invariant direction. Thirdly, so as to detect the invariant direction that is consistent with a principal direction, the eigenvector corresponding to the largest eigenvalue is calculated from datum extracted above. Finally, an intrinsic image is acquired by recovering datum with the detected invariant direction. Test images were used as parts of the image data presented by Barnard et al., and detection performance of invariant direction was compared with that of entropy minimization method. The results of experiment showed that our method detected constant invariant direction since the proposed method had lower standard deviation than the entropy method, and was over three times faster than the compared method in the aspect of detection speed.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.12 no.1
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• pp.95-102
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• 1999

본 연구에서는 중복되지 않는 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도를 계산하는 새로운 방법을 제시하였다. 제안 방법에서는 (n+1)차의 대칭 행렬로 이루어진 대수방정식을 해석함으로써 n개의 자유도를 갖는 감쇠계의 고유치와 고유벡터의 설계변수에 대한 미분을 구한다. 제안 방법은 매우 간단하면서도 수치적 안정성이 보장되고 정확한 해를 주는 방법이다. 제안 방법의 검증을 위해 7자유도를 갖는 차량모델의 민감도해석을 예제에서 다루고 있다. 예제에서의 설계변수는 콘테이너의 질량으로 하였다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.12 no.1
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• pp.103-109
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• 1999

본 연구에서는 중복 고유치를 갖는 비비례 감쇠 진동계의 고유치와 고유벡터의 민감도를 계산하는 새로운 방법을 제시하였다. 제안 방법은 매우 간단하면서도 수치적 안정성이 보장되고 정확한 해를 주는 방법이다. 제안 방법에서는 (n+m)차의 대칭 행렬로 이루어진 대수방정식을 해석함으로써 n개의 자유도를 갖는 감쇠계에 있어서 m차의 중복도를 갖는 고유치와 고유벡터의 설계변수에 대한 미분을 구한다. 제안 방법의 검증을 위해 5자유도를 갖는 단순구조물의 민감도해석을 예제에서 다루고 있다. 예제에서의 설계변수는 모델의 부분강성으로 하였다.

• Proceeding of EDISON Challenge
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• 2013.04a
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• pp.337-342
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• 2013

이번 연구에서는 de Laval nozzle를 이용하여 다양한 유체해석 모델과 프로그램을 비교하여 그 성능을 파악하였다. de Laval nozzle은 eigenvalue에 의해 eigenvector값이 '-'와 '+'값을 동시에 갖는 물리현상을 내포하고 있으며, 압력조건에 따라 내부에서 Normal shock이 발생하게 된다. 이러한 non-linearity를 현재 우리가 주로 사용하고 있는 상용프로그램(cfx, fluent)과 EDISON, 직접 코딩한 프로그램(Matlab이용)이 얼마나 잘 표현하는지 알아보았다. 그 결과 Van Leer Vector Splitting을 이용할 경우 물리현상을 제일 잘 표현 하였다. 또한 난류 유동(Turbulence flow)을 고려하게 될 경우, Mesh가 Boundary layer를 표현할 정도로 정밀하지 못하다면 제대로 된 해석 결과를 얻을 수 없었으며, Wall 근처에서 Non-slip condition에 의해 Vortex가 형성되고, 이 Vortex가 Back flow를 유도하여 해가 수렴하는데 방해를 하게 됨을 알 수 있었다. 이를 방지하기 위해서는 유동이 잘 표현될 수 있도록 적절한 Computational environment를 형성해 주는 것이 매우 중요하다.