• Title/Summary/Keyword: Eigen analysis

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Eigen-Frequency of a Cantilever Beam Restrained with Added Mass and Spring at Free End or a Node Point (자유단 혹은 노드점에 작용하는 스프링과 부가질량을 받는 일단 지지보의 고유진동수)

  • Sim, Woo-Gun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.12
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    • pp.32-40
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    • 2018
  • In order to avoid excessive vibration, it is required to carry out a vibration analysis of heat-exchanger/nuclear-reactor at the design stage. Information of eigen-frequency in the vibration problem is required to evaluate safety of heat-exchange/nuclear reactor. This paper describes a numerical method, Galerkin's method, to solve the eigenvalue problem occurred in a cantilever beam. The beam is restrained with added mass and spring at the free end or a node point of a mode shape. The numerical results of eigen-frequency were compared with simple analytical and experimental results given by simple approach and simple test, respectively. It is found that Galerkin's method is applicable to estimate the eigen-frequency of the cantilever beam. The frequencies become lower with increasing the added mass and the frequencies increase with the spring force. It is shown the heavy added mass has a role of support on the flexible tube. The eigen-frequency of the first mode, for the system with the added mass mounted at the free end, can be calculated by the approximate analytical method existing with more or less accuracy.

Analysis of Downlink Wideband DS-CDMA Systems with Smart Antenna for Different Spreading Bandwidths in Wideband Multipath Channel

  • Jeon Jun-Soo;Kim Cheol-Sung
    • Journal of electromagnetic engineering and science
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    • v.4 no.4
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    • pp.183-189
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    • 2004
  • In this paper, the Eigen-RAKE receiver in wideband direct sequence code-division multiple access(DS-CDMA) systems with downlink smart antenna is analyzed for different spreading bandwidths(1.25 MHz, 5 MHz, 10 MHz) and different channel environments(macro, micro). The realistic spatio-temporal wideband multipath channel is assumed, one of which is standardized multiple-input single-output(MISO) radio channel model for WCDMA link-level simulations proposed by $3^{rd}$ generation partnership project(3GPP) contributions. We assumed spatial scattering phenomenon in which many unresolvable path signals within a limited range of spatial angle simultaneously contribute to the signals received at the receiver. Several multipaths within one chip are distinguished into each one and the first multipath components are selected as the desired signal and the others are considered self-interference. Downlink DS-CDMA system with eigenbeamformer using wider bandwidth present better performance than that using narrow bandwidth system by employing Eigen-RAKE receiver of many number of branches. It is shown that the downlink eigenbeamformer is more effective in typical urban macro cellular environments when using Eigen-RAKE receiver.

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

  • Cho, Kyoung-Sik
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.06a
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    • pp.597-600
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    • 2007
  • Face is considered to be one of the biometrics in person identification. But Face recognition is a high dimensional pattern recognition problem. Even low-resolution face images generate huge dimensional feature space. The aim of this paper is to present a fast feature extraction method for real time human face recognition. first, It compute eigen-vector and eigen-value by Principle component analysis on inputed human face image, and propose method of feature extraction that make feature vector by apply gabor filter to computed eigen-vector. And it compute feature value which multiply by made eigen-value. This study simulations performed using the ORL Database.

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Finite Element Eigen Analysis of Undamped Beam Structure with Composite Sections (복합단면을 갖는 비 감쇠 보 구조물의 유한요소 고유치 해석)

  • Park, Keun-Man;Cho, Jin-Rae;Jung, Weui-Bong;Bae, Soo-Ryong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.691-697
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    • 2007
  • Numerical eigen analysis of beam-like structure can be easily and effectively done by various conventional beam theory-based methods. However, in case of the structures composed of composite-sectioned beams, the application of conventional numerical methods requires one to derive both equivalent material and geometry properties. In the present paper, these equivalent properties are derived by the transformed section method and the test FEM program is coded. The numerical accuracy of the proposed method is verified through the comparison with the ANSYS 3-D model.

Applications of Eigen-Sensitivity for Contingency Screening of Transient Stability in Large Scale Power Systems (대규모 전력계통의 과도안정도 상정사고 선택에 고유치감도 응용)

  • Shim, Kwan-Shik;Nam, Hae-Kon;Kim, Yong-Ku;Song, Sung-Geun
    • Proceedings of the KIEE Conference
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    • 1999.11b
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    • pp.193-196
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    • 1999
  • This paper presents a new systematic contingency selection and screening method for transient stability. The variation of modal synchronizing torque coefficient(MSTC) is computed using eigen-sensitivity analysis of the electromechanical oscillation modes in small signal stability model and contingencies are ranked in decreasing order of the sensitivities of the MSTC(SMSTC). The relevant clusters are identified using the eigenvector or participating factor. The proposed algorithm is tested on the KEPCO system. Ranking obtained by the SMSTC is consistent with the time simulation results by PSS/E.

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Analytical Study on Free Vibration of Cylindrical Liquid-Storage Tanks (원통형 액체저장탱크의 고유진동에 대한 이론적 연구)

  • Lee, Jin-Kyu;Lee, Sang-Young;Kim, Ki-Whan;Cho, Jin-Rae;Park, Tae-Hak;Lee, Woo-Yong
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.602-607
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    • 2000
  • Fuel-storage tank is a representative example of liquid-structure interaction systems. In order to prevent the undesired structural failure by a variety of external loads, the reliable analysis of the dynamic response of such structural system is of a great importance. In this paper, we address the analytical study on free vibration of axisymmetric cylindrical fuel-storage tanks together with the parametric investigation of eigen-characteristics with respect to the relative fuel fill-height and the relative tank height. Numerical results illustrating theoretical results are also included.

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Study on The Stiffness Locking Phenomenon and Eigen Problem in Mindlin Plate (Mindlin 판의 강성 과잉 현상과 고유치에 관한 연구)

  • 김용우;박춘수;민옥기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.445-454
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    • 1991
  • In this thesis, Mindlin plate element with nine nodes and three degrees-of-freedom at each node is formulated and is employed in eigen-analysis of a rectangular plates in order to alleviate locking phenomenon of eigenvalues. Eigenvalues and their modes may be locked if conventional $C_{0}$-isoparametric element is used. In order to reduce stiffness locking phenomenon, two methods (1, the general reduced and selective integration, 2, the new element that use of modified shape function) are studied. Additionally in order to reduce the error due to mass matrix, two mass matrixes (1, Gauss-Legendre mass matrix, 2, Gauss-Lobatto mass matrix) are considered. The results of eigen-analysis for two models (the square plate with all edges simply-supported and all edges built-in), computed by two methods for stiffness matrix and by two mass matrixes are compared with theoretical solutions and conventional numerical solutions. These comparisons show that the performance of the two methods with Gauss-Lobatto mass matrix is better than that of the conventional plate element. But, by considering the spurious rigid body motions, the element which employs modified shape function with full integration and Gauss-Lobatto mass matrix can elevate the accuracy and convergence of numerical solutions.

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

  • Lee Jun-Seok;Min Byoung-Cheol;Kim Moon-Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.4
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    • pp.351-363
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    • 2004
  • Equation of motion of non conservative system considering mass matrix, elastic stiffness matrix, load correction stiffness matrix by circulatory force's direction change and Winkler and Pasternak foundation stiffness matrix is derived. Also stability analysis due to the divergence and flutter loads is performed. And the influence of internal and external damping coefficient on flutter load is investigated applying the quadratic eigen problem solution. Additionally the influence of non-conservative force's direction parameter, internal and external damping and Winkler and Pasternak foundation on the critical load of Beck's and Leipholz's and Hauger's columns are investigated.

Variability of Mid-plane Symmetric Functionally Graded Material Beams in Free Vibration (중립면 대칭 기능경사재료 보의 자유진동 변화도)

  • Nguyen, Van Thuan;Noh, Hyuk-Chun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.3
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    • pp.127-132
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    • 2018
  • In this paper, a scheme for the evaluation of variability in the eigen-modes of functionally graded material(FGM) beams is proposed within the framework of perturbation-based stochastic analysis. As a random parameter, the spatially varying elastic modulus of FGM along the axial direction at the mid-surface of the beam is chosen, and the thru-thickness variation of the elastic modulus is assumed to follow the original form of exponential variation. In deriving the formulation, the first order Taylor expansion on the eigen-modes is employed. As an example, a simply supported FGM beam having symmetric elastic modulus with respect to the mid-surface is chosen. Monte Carlo analysis is also performed to check if the proposed scheme gives reasonable outcomes. From the analyses it is found that the two schemes give almost identical results of the mean and standard deviation of eigen-modes. With the propose scheme, the standard deviation shape of respective eigen-modes can be evaluated easily. The deviated mode shape is found to have one more zero-slope points than the mother modes shapes, irrespective of order of modes. The amount of deviation from the mean is found to have larger values for the higher modes than the lower modes.

A Comparative Experiment on Dimensional Reduction Methods Applicable for Dissimilarity-Based Classifications (비유사도-기반 분류를 위한 차원 축소방법의 비교 실험)

  • Kim, Sang-Woon
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.3
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    • pp.59-66
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    • 2016
  • This paper presents an empirical evaluation on dimensionality reduction strategies by which dissimilarity-based classifications (DBC) can be implemented efficiently. In DBC, classification is not based on feature measurements of individual objects (a set of attributes), but rather on a suitable dissimilarity measure among the individual objects (pair-wise object comparisons). One problem of DBC is the high dimensionality of the dissimilarity space when a lots of objects are treated. To address this issue, two kinds of solutions have been proposed in the literature: prototype selection (PS)-based methods and dimension reduction (DR)-based methods. In this paper, instead of utilizing the PS-based or DR-based methods, a way of performing DBC in Eigen spaces (ES) is considered and empirically compared. In ES-based DBC, classifications are performed as follows: first, a set of principal eigenvectors is extracted from the training data set using a principal component analysis; second, an Eigen space is expanded using a subset of the extracted and selected Eigen vectors; third, after measuring distances among the projected objects in the Eigen space using $l_p$-norms as the dissimilarity, classification is performed. The experimental results, which are obtained using the nearest neighbor rule with artificial and real-life benchmark data sets, demonstrate that when the dimensionality of the Eigen spaces has been selected appropriately, compared to the PS-based and DR-based methods, the performance of the ES-based DBC can be improved in terms of the classification accuracy.