• Title/Summary/Keyword: 중복 고유치

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Natural Frequency and Mode Shape Sensitivities of Non-Proportionally Damped Systems : Part II, Multiple Natural Frequencies (중복 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도 해석법)

  • 김동옥;김주태;박선규;이인원
    • 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.

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An Improved Subspace Iteration Method for Structures with Multiple Natural Frequencies (중복근을 갖는 구조물에 대한 개선된 부분공간 반복법)

  • Jung, Hyung-Jo;Park, Sun-Kyu;Lee, In-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.371-383
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    • 1999
  • An efficient and numerically stable eigensolution method for structures with multiple natural frequencies is presented. The proposed method is developed by improving the well-known subspace iteration method with shift. A major difficulty of the subspace iteration method with shift is that because of singularity problem, a shift close to an eigenvalue can not be used, resulting in slower convergence. In this paper, the above singularity problem has been solved by introducing side conditions without sacrifice of convergence. The proposed method is always nonsingular even if a shift is on a distinct eigenvalue or multiple ones. This is one of the significant characteristics of the proposed method. The nonsingularity is proved analytically. The convergence of the proposed method is at least equal to that of the subspace iteration method with shift, and the operation counts of above two methods are almost the same when a large number of eigenpairs are required. To show the effectiveness of the proposed method, two numerical examples are considered.

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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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Natural Frequency and Mode Shape Sensitivities of Non-Proportionally Damped Systems : Part 1, Distinct Natural Frequencies (비중복 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도 해석법)

  • 김동옥;김주태;오주원;이인원
    • 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.

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열하중을 받는 이종재 V-노치 균열의 응력강도계수 해석

  • 문창호;조상봉;김진광;노홍래
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.10a
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    • pp.240-240
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    • 2003
  • V-노치 균열에서 열하중이 작용하는 경우는 비제차형 경계조건의 문제가 되고, 이 조건에 대한 방정식의 일반해를 구하기 위해서 재차형 연립방정식에 대한 일반해(Homogeneous solution)와 비제차형 연립방정식에 대한 특수해(Particular solution)의 두 가지 해를 구할 수 있다. 이들 해는 V-노치 균열에 대한 고유치가 되고 이 고유치가 중복근을 가지게 되는 경우에는 로그항(1n[r])이 나타나게 되고 이 항에 의해서 응력을 무한대로 발산시키므로 이를 대수응력특이성이라 한다. 열하중이 작용할 때 대수응력특이성을 나타내는 로그항의 계수가 영(0)이 되어 대수응력특이성이 사라지게 되므로 V-노치 선단에서의 응력특이성은 고유치와 그에 대한 고유벡터에 의해 결정된다. 본 논문에서는 비정상상태 열하중이 가해지는 등방성 이종재료 내의 V-노치 균열문제에서 패기 각도와 이종재료의 기계적 성질에 의해 결정되는 응력특이성지수를 구하고 이에 대한 응력강도계수를 유한요소해석 프로그램인 ANSYS와 상반일 경로 적분법(RWCIM)을 이용하여 구하였다.

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Vibration Analysis of Rectangular Thick Plates Using Mindlin Plate Characteristic Functions (Mindlin판 특성함수를 이용한 직사각형 후판의 진동해석)

  • Lee, J.M.;Kim, K.C.
    • Journal of the Society of Naval Architects of Korea
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    • v.33 no.2
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    • pp.85-95
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    • 1996
  • An iterative Kantorovich method is presented for the vibration analysis of rectangular isotopic and orthotropic thick plates. Mindlin plate characteristic functions are derived in general forms by the Kantorovich method initially starting with Timoshenko beam functions consistent with the boundary conditions of the plate. Through numerical calculations of natural pairs, i.e. natural frequencies and corresponding modes, and dynamic responses of appropriate models, it has been confirmed that the presented method is superior to the Rayleigh-Ritz analysis or the FEM analysis in accuracy and computational efficiency.

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Free Vibration Analysis of Non-Proportionally Damped Structures with Multiple or Close Frequencies (중복 또는 근접 고유치를 갖는 비비례 감쇠 구조물의 자유진동 해석)

  • 김만철;정형조;박선규;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.431-438
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    • 1998
  • An efficient solution method is presented to solve the eigenvalue problem arising in tile dynamic analysis of non-proportionally damped structural systems with multiple or close eigenvalues. The proposed method is obtained by applying the modified Newton-Raphson technique and the orthonormal condition of the eigenvectors to the quadratic eigenvalue problem. Even if the shift value is an eigenvalue of the system, the proposed method guarantees nonsingularity, which is analytically proved. The initial values of the proposed method can be taken as the intermediate results of iteration methods or results of approximate methods. Two numerical examples are also 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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Landsat TM Image Compression Using Classified Bidirectional Prediction and KLT (영역별 양방향 예측과 KLT를 이용한 인공위성 화상데이터 압축)

  • Kim Seung-Jin;Kim Tae-Su;Park Kyung-Nam;Kim Young-Choon;Lee Kuhn-Il
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.42 no.1
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    • pp.1-7
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    • 2005
  • We propose an effective Landsat TM image compression method using the classified bidirectional prediction (CBP), the classified KLT and the SPIHT. The SPIHT is used to exploit the spatial redundancy of feature bands selected in the visible range and the infrared range separately. Regions of the prediction bands are classified into three classes in the wavelet domain, and then the CBP is performed to exploit the spectral redundancy. Residual bands that consist of difference values between the original band and the predicted band are decorrelated by the spectral KLT Finally, the three dimensional (3-D) SPIHT is used to encode the decorrelated coefficients. Experiment results show that the proposed method reconstructs higher quality Landsat TM image than conventional methods at the same bit rate.

Feature Extraction by Line-clustering Segmentation Method (선군집분할방법에 의한 특징 추출)

  • Hwang Jae-Ho
    • The KIPS Transactions:PartB
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    • v.13B no.4 s.107
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    • pp.401-408
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    • 2006
  • In this paper, we propose a new class of segmentation technique for feature extraction based on the statistical and regional classification at each vertical or horizontal line of digital image data. Data is processed and clustered at each line, different from the point or space process. They are designed to segment gray-scale sectional images using a horizontal and vertical line process due to their statistical and property differences, and to extract the feature. The techniques presented here show efficient results in case of the gray level overlap and not having threshold image. Such images are also not easy to be segmented by the global or local threshold methods. Line pixels inform us the sectionable data, and can be set according to cluster quality due to the differences of histogram and statistical data. The total segmentation on line clusters can be obtained by adaptive extension onto the horizontal axis. Each processed region has its own pixel value, resulting in feature extraction. The advantage and effectiveness of the line-cluster approach are both shown theoretically and demonstrated through the region-segmental carotid artery medical image processing.

Occurrence of fish larvae at Hamduck coastal area, northern part of Cheju Island (제주도 북방 함덕 연안역의 자치어출현)

  • Go, Yu-Bong;Go, Gyeong-Min;Kim, Jong-Man
    • Korean Journal of Ichthyology
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    • v.3 no.1
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    • pp.24-35
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    • 1991
  • Fish larvae were collected monthly from coastal water around Hamduck, northern part of Cheju Island from April 1989 to March 1990. During the study period, a total of sixty four species, representing 35 genera and 27 families, were observed, of these 4 species appeared to be major groups which comprised about 66% of total fish larvae abundance, including Ammodytes personatus (February-March), Scomber japonicus(September-March), Enneapterygius etheostomus(June-September), and Engraulis japonica(August-November). Seasonally, the maximun numbers of species and individuals appeared in summer and in spring, and in summer, respectively, while the minima numbers of species and individuals appeared in winter. Inshore species were composed of 44 species(62.9%) and 557 individuals(70.4%), which were much higher both in the species numbers and individuals than those of offshore species.

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