• 제목/요약/키워드: Eigen Problem

검색결과 97건 처리시간 0.02초

커플시스템의 모우드 분석 연구 (Mode Analysis of Coupled System)

  • 김종도;윤문철
    • 한국기계가공학회지
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    • 제9권3호
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    • pp.28-34
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    • 2010
  • The suggested coupled system was analyzed using FRF and mode analysis. The eigen-mode of FRF analysis is consistent with that of conventional FFT in spectrum. Also, three numerical responses of second order system, which are coupled, was obtained using the Runge-Kutta Gill method. The displacement, velocity and acceleration response were calculated for the numerical analysis of coupled system and the displacement response was used for the calculation of FRF of this system. Using the mixed response of 1st and 2nd mode in example, the FRF was analysed for the analysis of mixed mode coupled system. Also, its mode shape was acquired by solving the eigen problem of coupled system.

언커플 시스템의 모우드 분석 연구 (Mode Analysis of Uncoupled System)

  • 김종도;윤문철;김선진;양보석
    • 한국기계가공학회지
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    • 제9권3호
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    • pp.35-41
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    • 2010
  • In this study, a mode analysis of uncoupled system was discussed using FRF. The eigen-mode range of FRF analysis is consistent with conventional FFT in spectrum. Also, the numerical response of second order uncoupled system was obtained using the Runge-Kutta Gill method. The displacement, velocity and acceleration response were calculated after numerical analysis and its response was used for the calculation of FRF for uncoupled system. Using the separated and mixed response of 1st and 2nd mode in example, its FRF was analysed for the prediction of the uncoupled systems and its mode shape was calculated by solving the eigen problem.

실대칭 행력의 고유쌍에 대한 수치해법 (Numerical Method for Eigen Pairs of a Real Valued Symmetric Matrix)

  • 최성;조영식;백청호
    • 한국정보처리학회논문지
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    • 제5권1호
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    • pp.97-102
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    • 1998
  • 사회과학 분야에 응용되는 고유치 문제의 대상 행렬은 실대칭 행렬인 경우가 대부분이다. 또한, 이 분야에서의 고유치 문제는 데이터에 대한 잠재 구조를 파악하기 위해, 절대치의 크기 순으로 2∼4개의 고유쌍만을 필요로 하는 경우가 대부분이다. 컴퓨터에 의한 수치 계산으로 고유쌍을 구하는 방법들은 행렬에 대한 계산이기 때문에 마무리 오차의 문제가 필연적으로 대두된다. 본 논문은, 실대칭 행렬에 대해서 멱수법을 이용하여, 절대치가 큰 순서로 필요한 만큼의 고유쌍을 구하는 수치해법에 관하여 논술한 것으로서, 고유쌍 전체를 구하는 기존의 방법들에 비해서 계산 횟수를 줄일 수 있다는 이점이 있다.

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유한요소기법을 이용한 비보존력이 작용하는 보-기둥 구조의 다양한 제변수 변화에 따른 동적 안정성 해석 (Dynamic Stability Analysis of Nonconservative Systems for Variable Parameters using FE Method)

  • 이준석;민병철;김문영
    • 한국전산구조공학회논문집
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    • 제17권4호
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    • pp.351-363
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    • 2004
  • 비보존력을 받는 보-부재의 질량행렬, 탄성강도행릴, circulatory비보존력의 방향변화로 인한 load correction강도행력, 그리고 Winkler 및 Pasternak지반강도행렬을 고려한 운동방정식을 유도하고 divergence 및 flutter에 의한 안정성 해석을 수행한다. 또한 내적 및 외적 감쇠계수를 운동방정식에 포함시킴으로써 감쇠효과를 고려하고, 2차 고유치문제의 해법(quadratic eigen problem solution)을 적용하여 flutter에 미치는 영향을 조사한 후, Beck's column, Leipholz's column 및 Hauger's column에 대하여 비보존력의 방향파라미터 ${\alpha}$에 대한 임계하중의 영향, 내적 및 외적 감쇠계수 및 Winkler 및 Pasternak지반에 의한 임계하중의 영향을 각각 조사한다.

An Application of a Parallel Algorithm on an Image Recognition

  • Baik, Ran
    • Journal of Multimedia Information System
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    • 제4권4호
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    • pp.219-224
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    • 2017
  • This paper is to introduce an application of face recognition algorithm in parallel. We have experiments of 25 images with different motions and simulated the image recognitions; grouping of the image vectors, image normalization, calculating average image vectors, etc. We also discuss an analysis of the related eigen-image vectors and a parallel algorithm. To develop the parallel algorithm, we propose a new type of initial matrices for eigenvalue problem. If A is a symmetric matrix, initial matrices for eigen value problem are investigated: the "optimal" one, which minimize ${\parallel}C-A{\parallel}_F$ and the "super optimal", which minimize ${\parallel}I-C^{-1}A{\parallel}_F$. In this paper, we present a general new approach to the design of an initial matrices to solving eigenvalue problem based on the new optimal investigating C with preserving the characteristic of the given matrix A. Fast all resulting can be inverted via fast transform algorithms with O(N log N) operations.

곡선보의 강선 과잉 현상과 고유치에 관한 연구 (A Study on the Stiffness Locking Phenomena and Eigen Problem in a Curved Beam)

  • 민옥기;김용우;유동규
    • 대한기계학회논문집
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    • 제14권2호
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    • pp.310-323
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    • 1990
  • A three-noded, with three degree-of-freedom at each node, in-plane curved beam element is formulated and employed in eigen-analysis of constant curvature beam. The conventional quadratic shape functions used in a three noded C .deg. type curved beam element produce such an undesirable large stiffness that a significant error is introduced in displacements and stresses. These phenomena are called 'Stiffness Locking Phenomena', which result from spurious strain energy due to inappropriate assumptions on independent isoparametric quadratic interpolation functions. Stiffness locking phenomena can be alleviated by using modified interpolation functions which get rid of spurious constraints of conventional interpolation functions. Eigenvalues and their modes as well as displacements and stresses may be locked because they are related to stiffness. Using modified curved beam element in eigenvalue problem of cantilever and arch, the property and performance of modified curved beam element are examined by numerical experimentations. In these eigen-analyses, mass matrices are calculated by using both modified and unmodified curved beam element, are compared with theoretical solutions. These comparisons show that the performance of the modified curved beam element is better than that of the unmodified curved beam element.

위상 변경 고유치 재해석 기법을 이용한 최적 구조물 동특성 변경 (Optimal Structural Dynamics Modification Using Eigen Reanalysis Technique of Technique of Topological Modifications)

  • 이준호;박영진;박윤식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.77-81
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    • 2003
  • SDM (Structural Dynamics Modification) is a tool to improve dynamic characteristics of a structure, more specifically of a base structure, by adding or deleting auxiliary (modifying) structures. In this paper, the goal of the optimal SDM is set to maximize the natural frequency of a base plate structure by attaching serially-connected beam stiffeners. The design variables are chosen as positions of the attaching beam stiffeners, where the number of stiffeners is considered as a design space. The problem of non-matching interface nodes between the base plate and beam stiffeners is solved by using localized Lagrange multipliers, which act to glue the two structures with non-matching interface nodes. As fer the cases of non-matching interface nodes problem, the governing equation of motion of a structure can be considered from the viewpoint of a topological modification, which involves the change of the number of structural members and DOFs. Consequently, the eigenpairs of the beam-stiffened plate structure are obtained by using an eigen reanalysis technique of topological modifications. Evolution Strategies (ES), which is a probabilistic population-based optimization technique that mimics the principles from biological evolution in nature, is utilized as a mean for the optimization.

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Free vibration analysis of concrete arch dams by quadratic ideal-coupled method

  • Rezaiee-Pajand, Mohammad;Sani, Ahmad Aftabi;Kazemiyan, Mohammad Sadegh
    • Structural Engineering and Mechanics
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    • 제65권1호
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    • pp.69-79
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    • 2018
  • This paper is devoted to two new techniques for free vibration analysis of concrete arch dam-reservoir systems. The proposed schemes are quadratic ideal-coupled eigen-problems, which can solve the originally non-symmetric eigen-problem of the system. To find the natural frequencies and mode shapes, a new special-purpose eigen-value solution routine is developed. Moreover, the accuracy of the proposed approach is thoroughly assessed, and it is confirmed that the new scheme is very accurate under all practical conditions. It is also concluded that both decoupled and ideal-coupled strategy proposed in the previous works can be considered as special cases of the current more general procedure.

실시간 얼굴인식을 위한 빠른 Gabor 특징 추출 (Fast Gabor Feature Extraction for Real Time Face Recognition)

  • 조경식
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2007년도 춘계종합학술대회
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    • pp.597-600
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    • 2007
  • 얼굴은 개인의 신원확인을 위하여 중요한 생체부분이다. 하지만 얼굴인식은 고차원적인 패턴인식의 문제이다. 저해상도 얼굴영상 조차도 대단히 큰 특징공간을 생성한다. 고유공간기반 얼굴인식은 고차원적인 패턴인식의 문제를 보다 낮은 차원으로 줄여서 얼굴인식을 하는 방법이다. 본 연구의 목적은 실시간 얼굴인식을 위하여 빠른 특징 추출방법을 제공하는 것이다. 먼저, 입력된 얼굴 영상에서 주성분분석을 수행하여 고유벡터와 고유값을 생성하고, 생성된 고유벡터의 특이점에 Gabor 필터를 적용하여 특징벡터를 구성한 후에 앞에서 구해진 고유값을 곱하여 특징을 추출하는 방법을 제안한다. 본 연구에서는 ORL 데이터베이스를 이용하여 실험하였다.

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신경회로망을 이용한 수량화 문제의 최적화 응용기법 연구 (A Study on Optimization Approach for the Quantification Analysis Problem Using Neural Networks)

  • 이동명
    • 한국정보통신학회논문지
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    • 제10권1호
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    • pp.206-211
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    • 2006
  • 수량화 문제는 n개의 성질을 갖는 m개의 개체들을 각 개체들의 유사도(similarity)를 가장 잘 반영하도록 p차원의 공간 상에 대응시키는 문제이다. 본 논문에서는 물리학에서의 열평형 상태(thermal equilibrium state)에서 분자시스템의 해석적 근사 움직임에 대한 이론인 평균장 이론(mean field theory)에 의한 분자의 평균 변화량 계산과 어닐링(annealing) 방법에 의한 평균장 신경회로망(mean field neural network)을 수량화 문제(quantification analysis problem)의 해결에 적용하였다. 그 결과, 제안한 최적화 응용기법 이 기존의 고유치 분석방법(eigen value analysis)에 비해 비용측면에서 좀 더 최적에 가까운 해답을 찾아낼 수 있음을 확인하였다.