• Title/Summary/Keyword: Eigen Value

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Robust Simple Correspondence Analysis

  • Park, Yong-Seok;Huh, Myung-Hoe
    • Journal of the Korean Statistical Society
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    • v.28 no.3
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    • pp.337-346
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    • 1999
  • Simple correspondence analysis is a technique for giving a joint display of points representing both the rows and columns of an n$\times$p two-way contigency table. In simple correspondence analysis, the singular value decomposition is the main algebraic tool. But, Choi and Huh(1996) pointed out the singular value decomposition is not robust. Instead, they developed a robust singular value decomposition and provided applications in principal component analysis and biplots. In this article, by using the analogous procedures of Choi and Huh(1996), we derive a robust version of simple correspondence analysis.

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A Comparitive Study on the Shear Buckling Characteristics of Trapezoidal and Sinusoidal Corrugated Steel Plate Considering Initial Imperfection (제형 및 사인형 주름 강판의 초기 불완전 형상을 고려한 전단 좌굴 특성 비교)

  • Seo, Geonho;Shon, Sudeok;Lee, Seungjae
    • Journal of Korean Association for Spatial Structures
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    • v.21 no.4
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    • pp.57-64
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    • 2021
  • This paper conducted a comparative analysis of the shear buckling characteristics of trapezoidal and sinusoidal corrugated steel plates considering of their initial imperfection. Initial imperfection refers to the state where the shape of the corrugated plate is initially not perfect. As such, an initially imperfect shape was assumed using the eigen buckling mode. To calculate the buckling stress of corrugated steel plates, the linear buckling analysis used a boundary condition which was applied to the plate buckling analysis. For the comparison of trapezoidal and sinusoidal corrugation, the shape parameters were assumed using the case where the length and slope of each corrugation were the same, and the initial imperfection was considered to be from 0.1% to 5% based on the length of the steel plate. Here, for the buckling analysis, ANSYS, a commercial FEA program, was used. From the results of buckling analysis, the effect of overall initial imperfection showed that the larger the initial imperfection, the lower the buckling stress. However, in the very thin model, interaction or local buckling was dominant in the perfect shape, and in this case, the buckling stress did not decrease. Besides, the sinusoidal model showed higher buckling stress than the trapezoidal one, and the two corrugation shapes decreased in a similar way.

THE STABILITY IN AN INCLINED LAYER OF VISCOELASTIC FLUID FLOW OF HYDROELECTRIC NATURAL CONVECTION

  • El-Bary, A.A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.9 no.2
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    • pp.17-27
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    • 2005
  • The problem of the onset stability in an inclined layer of dielectric viscoelastic fluid (Walter's liquid B') is studied. The analysis is made under the simultaneous action of a normal a.c. electric field and the natural convection flow due to uniformly distributed internal heat sources. The power series method used to obtain the eigen value equation which is then solved numerically to obtain the stable and unstable solutions. Numerical results are given and illustrated graphically.

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A study on the position control of an electro-hydraulic servomechanism using variable structure system (가변구조를 이용한 전기-유압서어보계의 위치제어에 관한 연구)

  • 허순영;권기수;하석훈;이진걸
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.299-304
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    • 1988
  • This paper describes the application of the variable structure control(VSC) concept for the position control of electro-hydraulic servomtor system. The basic philosopy of VSC is that the structure of the feedback control is altered as the state crosses discontinuity surfaces in the state surface with the result that certain desirable properties are achieved. The switching of the control function yields total(or selective) invariance to system parameter variations and disturbances, and closed loop eigen value placement in time-varing and uncertain systems.

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Dynamic discrmination of sensory evaluation capability using paired-comparison method (1대비교에 의한 관능평가능력의 동적판별)

  • 김정만;이상도
    • Proceedings of the ESK Conference
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    • 1993.10a
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    • pp.113-123
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    • 1993
  • In a sensory evaluation, the data obtained by a result of evaluation have a wide dispersion and fuzziness because human sense organ is used as a means of measuring sensation instead of measuring instruments. These dispersion and fuzziness are caused by all kinds of time error and have a great influence on a sensory evaluation, but most of previous papers don't deal with these time errors. In this study, a comparative judgement capacity of an evaluator is discriminated by means of the eigen-structure analysis on the premise that evaluation value of sensory evaluators obtained by a paired-comparison become different by the order of sample presentation

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An efficient three-dimensional fluid hyper-element for dynamic analysis of concrete arch dams

  • Lotfi, Vahid
    • Structural Engineering and Mechanics
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    • v.24 no.6
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    • pp.683-698
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    • 2006
  • The accurate dynamic analysis of concrete arch dams relies heavily on employing a three-dimensional semi-infinite fluid element. The usual method for calculating the impedance matrix of this fluid hyper-element is dependent on the solution of a complex eigen-value problem for each frequency. In the present study, an efficient procedure is proposed which simplifies this procedure amazingly, and results in great computational time saving. Moreover, the accuracy of this technique is examined thoroughly and it is concluded that efficient procedure is incredibly accurate under all practical conditions.

Stability Investigation of Rotor Systems by Complex Modal Analysis (복소 모드해석을 이용한 회전체의 안정성 분석)

  • Han, Dongju
    • Journal of Aerospace System Engineering
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    • v.7 no.4
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    • pp.27-35
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    • 2013
  • Identifying the stability of rotor systems is prerequisite for clear determination of the parameter identification and safety, through which operating conditions may be rationally ascertained. For this purpose, the complex modal analysis of periodically time-varying system has been introduced by transforming the relation between periodic eigen-vectors and the corresponding adjoint vectors into the latent value problem. Stability investigation associated with modal features for rotor systems is performed using numerical simulation based upon the analysis model.

Squeal Noise Analysis and Reduction of Drum Brake Using Component Mode Synthesis (구분모드합성에 의한 드럼 브레이크 스퀼 소음 해석 및 저감)

  • Kim, Jin-Ho;Bae, Byung-Ju;Lee, Shi-Bok;Kim, Tae-Jong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.1 s.94
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    • pp.72-80
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    • 2005
  • Recent studies have dealt with brake squeal in terms of the coupled vibration of brake component parts. In this paper, we assemble the mode models derived from FE analysis of the individual components of the drum brake system into the system model by considering the friction interaction of the lining and drum at the interface. The validity of the component models are backed up by the experimental confirmation work. By scrutinizing the real parts of the complex eigen-values of the system, the unstable modes, which may be strong candidate sources of squeal noise, are identified. Mode participation factors are calculated to examine the modal coupling mechanism. The model predictions for the unstable frequencies pointed well the actual squeal noise frequencies measured through field test. Sensitivity analysis is also performed to identify parametric dependency trend of the unstable modes, which would indicate the direction for the squeal noise reduction design. Finally, reduction of the squeal noise tendency through shape modification is tried.

Keypad Button Defect Inspection System of Cellphone (휴대폰 키버튼 불량 검사 시스템)

  • Lee, Joon-Jae
    • Journal of Korea Multimedia Society
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    • v.13 no.2
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    • pp.196-204
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    • 2010
  • In this paper, we develope a defect inspection method for each buttons of keypad of cellular phones before they are assembled. The proposed algorithm consists of the similar color checking and its classification, font error detection, and scratch detection based on the segmentation of keypad area and font, translation and rotation processing sequentially. Especially, the proposed segmentation method approximate the pad region as B-spline function to deal with illumination change due to the shape of key button with the slant and curved surface followed by simple thresholding. And also, the rotational information is obtained by using eigen value and eigen vector very fast and effectively. The experimental results show that the performance of the proposed algorithm is good when it is applied to in-line process.

A Study on an Improved MVE for Estimating the Direction of Arrival of Multiple Sources (다중 신호원의 도래방향 추정을 위한 개선된 MVE에 관한 연구)

  • 정용민;신준호;김용득
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.687-690
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    • 1999
  • Many high-resolution algorithms based on the eigen-decomposition analysis of observed covariance matrix, such as MVE, MUSIC, and EVM, have been proposed. However, the resolution of spectral estimates for these algorithms is severely degraded when Signal-to-Noise Ratio (SNR) is low and arrival angles of signal are close to each other. And EVM and MUSIC is powerful for the characteristic of SNR. But have the limitation that the number of signals presented is known. While MVE is bad the characteristic of SNR. In this study, we propose a modified MVE to enhance the resolution for Direction-Of-Arrival (DOA) estimation of underwater acoustic signal. This is to remove the limitation that existing algorithms should know the information for the number of signals. Because the algorithms founded on the eigen value estimate DOA with only the noise subspace, they have the high-resolution characteristic. And then, with the method reducing the effect of the signal subspace, we are to reduce the degradation because of complementary relationship between the signal subspace and the noise subspace. This paper, with using the simulation data, we have estimated the proposed algorithms, compared it with other high-resolution algorithms. The simulation results show that the modified MVE proposed is accurate and has a better resolution even though SNR is low, under the same condition.

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