• Title/Summary/Keyword: 고유값 분석

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Statistical Homogeneity Tests and Multiple Comparison Analysis for Response Characteristics between Treatments of Bridge Groups (교량 집단의 특성 수준간 통계적 응답 동질성 검정 및 다중 비교 분석)

  • Hwang, Jin-Ha;Kim, Ju-Han;An, Seoung-Su
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.4
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    • pp.107-117
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    • 2014
  • This study tests homogeneity and performs multiple comparison analysis among treatment levels of each factor group through t-test by materials and analysis of variance by structural type and service period. For that descriptive statistical analysis is performed for static and dynamic response characteristics and their ratios of calculated versus measured values based on a good many safety assessment reports for bridges. Homogeneity and post hoc test based on descriptive statistical analysis provide the measures for homogeneity identification among comparison groups in addition to the statistical reference values such as central tendency, variation and shape. This study is expected to be valuable for structural integrity assessment and design by comparing the measured and calculated values with the reference values for the homogeneous group identified, which can help the engineers review the adequacy of the values and put the group database to practical use.

Eigenvalue Analysis of the Building with Viscoelastic Dampers Using Component Mode Method (부분모드 방법을 이용한 점탄성 감쇠기가 설치된 건물의 고유치 해석)

  • 민경원;김진구;조한욱;이성경
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.1
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    • pp.71-78
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    • 1998
  • The eigenvalue problem is presented for the building with added viscoelastic dampers by using component mode method. The Lagrange multiplier formulation is used to derive the eigenvalue problem which is expressed with the natural frequencies of the building, the mode components at which the dampers are added, and the viscoelastic property of the damper. The derived eigenvalue problem has a nonstandard form for determining the eigenvalues. Therefore, the problem is examined by the graphical depiction to give new insight into the eigenvalues for the building with added viscoelastic dampers. Using the present approach the exact eigenvalues can be found and also upper and lower bounds of the eigenvalues can be obtained.

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Analysis of Aroma Pattern of Gastrodiae Rhizoma by the Drying Conditions (건조 방법에 따른 천마의 향기패턴 분석)

  • Lee, Boo-Yong;Yang, Young-Min;Han, Chan-Kyu
    • Korean Journal of Food Science and Technology
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    • v.34 no.1
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    • pp.13-17
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    • 2002
  • The study was to analyze aroma patterns of Gastrodiae Rhizoma by the electronic nose with conducing polymer 32 sensors. Response by the electronic nose was analyzed by the principal component analysis (PCA). Sensory evaluation for the organoleptic characteristics of Gastrodiae Rhizoma was also performed. Raw Gastrodiae Rhizoma was very intensive in overall odor and taste. Hot air-dried $60^{\circ}C$ Gastrodiae Rhizoma was relatively weak in overall odor and taste. Intensity of aroma in the electronic nose was the highest in $60^{\circ}C$ hot air-dried Gastrodiae Rhizoma. As quality factor (QF) calcuated from PCA map of normalized pattern data by thirty two sensors showed less than 2, and so aroma pattern among raw, freezed-dried, and hot-air dried Gastrodiae Rhizoma had no difference. When PCA was performed for normalized pattern data by the selected sensitive ten sensors, QF value between raw and $60^{\circ}C$ hot air-dried Gastrodiae Rhizoma was 2.366. Thus aroma pattern of raw and $60^{\circ}C$ hot air-dried Gastrodiae Rhizoma was discriminated in electronic nose.

On-line Nonlinear Principal Component Analysis for Nonlinear Feature Extraction (비선형 특징 추출을 위한 온라인 비선형 주성분분석 기법)

  • 김병주;심주용;황창하;김일곤
    • Journal of KIISE:Software and Applications
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    • v.31 no.3
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    • pp.361-368
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    • 2004
  • The purpose of this study is to propose a new on-line nonlinear PCA(OL-NPCA) method for a nonlinear feature extraction from the incremental data. Kernel PCA(KPCA) is widely used for nonlinear feature extraction, however, it has been pointed out that KPCA has the following problems. First, applying KPCA to N patterns requires storing and finding the eigenvectors of a N${\times}$N kernel matrix, which is infeasible for a large number of data N. Second problem is that in order to update the eigenvectors with an another data, the whole eigenspace should be recomputed. OL-NPCA overcomes these problems by incremental eigenspace update method with a feature mapping function. According to the experimental results, which comes from applying OL-NPCA to a toy and a large data problem, OL-NPCA shows following advantages. First, OL-NPCA is more efficient in memory requirement than KPCA. Second advantage is that OL-NPCA is comparable in performance to KPCA. Furthermore, performance of OL-NPCA can be easily improved by re-learning the data.

Short-term Sand Movement Analysis in Hujeong Beach using Empirical Orthogonal Functions (경험고유함수를 이용한 후정해수욕장 단기 모래 이동 분석)

  • Cheon, Se-Hyeon;Suh, Kyung-Duck;Ahn, Kyungmo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.26 no.4
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    • pp.244-252
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    • 2014
  • EOF (Empirical Orthogonal Function) analysis is applied to investigate the sand movement in Hujeong Beach. For the analysis, the profile data which were observed five times from June 2009 to May 2010 along the 13 baselines were used. To secure the temporal and physical consistency among the 13 profile data, the 13 profile data were combined into one data and using this data the EOF analysis was performed. According to the analysis, the first EOF is related with the mean topography and the second EOF represents the natural variation of sediment migration and the third EOF is related with the along-shore sediment transport arising from storm. The remaining EOFs show no special relation with wave conditions. In conclusion the main factors which are having great effects on Hujeong Beach's sand movement are analyzed as natural variation and along-shore sediment transport owing the wave conditions.

Natural Frequencies of Simply Supported Tapered Beams (단순지지된 변단면 보의 고유진동수)

  • 김준희;김순철;이수곤
    • Journal of KSNVE
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    • v.9 no.3
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    • pp.607-612
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    • 1999
  • Natural frequencies of non-symmetrically tapered beams with simply supported ends were determined by solving the frequency equations. In the case of symmetrically tapered beams. the finite element method was adopted for frequency computation. Computed frequencies of tapered beams were expressed as functions of taper ratio. a. and sectional properties. ( m, n).

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Analysis of Natural Frequency Change of Foundation Scour Imitation Pier Using FEM (유한요소해석을 이용한 기초세굴모의 교각의 고유진동수 변화분석)

  • Chang, Sung-Hee;Park, Byung-Cheol;Lim, Jong-Hyuk
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.183-186
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    • 2010
  • 교각에서의 기초세굴 단계 및 상부구조물의 영향에 따른 진동특성을 파악하기 위해 교각 시험체를 이용하여 충격진동실험과 Midas FEA ver.2.0를 이용한 유한요소해석을 수행하였다. 기초세굴 모의는 교각시험체 기초 주위의 지반을 단계별로 굴착하였으며, 상부구조물의 영향은 철근콘크리트 블록을 제작하여 교각 시험체 위에 재하하였다. 충격진동실험과 수치해석결과, 강성이 작아지거나 질량이 커질수록 1차 모드 고유진동수도 작아지는 등 유사한 경향을 나타내었다. 대체적으로 충격진동실험으로 구한 1차모드 고유진동수는 수치해석으로 구한 값보다 작은 경향을 나타내었으며, 이는 지반의 강성변화를 수치해석 모델에서 연속적으로 반영하지 못하는 한계로 인해 발생한 오차로 판단된다. 따라서 1차 모드 고유진동수의 변화를 이용한 교각 세굴 건전성 평가를 위한 유한요소해석을 위해서는 지반물성을 보다 잘 모의할 수 있는 기법의 개발이 필요하였다.

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Signal Parameter Estimation via Transfer Matrix Analysis (전달 행렬 분석에 의한 신호변수 추정 기법 연구)

  • 조운현
    • The Journal of the Acoustical Society of Korea
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    • v.17 no.4
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    • pp.82-87
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    • 1998
  • 여러 음원들에 의해 형성된 파동장내에서 각 신호음의 주파수 특성과 시간 지연 (time delay)을 추정할 수 있는 알고리즘을 개발하였다. 이 알고리즘의 관련 수식은 두 개의 상호 간섭하는 신호가 입사하고 여기에 주변 환경에 의한 랜덤 잡음이 첨가된다고 가정하여 유도되었으며 두 개 이상의 신호음이 있는 상황에 대해 확장이 가능하다. 본 논문에서 시간 지연이 일정한 수신 신호 영역에 등간격으로 놓여진 수신기로부터 각 센서에 수신된 신호의 스펙트럼은 M개의 센서에 대해 K개의 음원 스펙트럼과 K개의 조정 벡터(steering vector) 의 선형 조합(linear combination)으로 주파수에서 모델된다. 각 음원의 주파수 특성과 음원 으로 들어오는 신호의 입사각을 결정하기 위하여 본 알고리즘은 전달 행렬(transfer matrix) 을 계산하고 그 전달 행렬의 고유값(eigenvalue)과 고유벡터(eigenvector)를 분석한다. 이 고 유값들은 복소수이며 그 크기는 진폭 변환 계수를 결정한다. 위상은 수신기의 간격으로부터 시간 지연을 결정하는 기울기를 갖는 주파수의 선형 함수이다. 전달 행렬에의 입력 자료들 은 동일 간격 소자간의 cross-power spectra이다.

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A mathematical theory of the AHP(Analytic Hierarchy Process) and its application to assess research proposals (계층분석적 의사결정(AHP)을 이용한 연구과제 선정방법에 관한 연구)

  • Yang, Jeong-Mo;Lee, Sang-Gu
    • 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.

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On the Performance CDMA System Using Weighted Value (가중치를 이용한 CDMA 시스템 성능분석)

  • Lee, Kwan-Houng;Kim, Hack-Yoon;Song, Woo-Young
    • Journal of the Korea Society of Computer and Information
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    • v.11 no.3
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    • pp.213-219
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    • 2006
  • Interference occurs by signals received from directions that were different from the signals of the users in a mobile communication system. Various studies have been undertaken, including diversity, equalizer, etc., in order to reduce interference. In this study, the weighted value of the array antenna was obtained to improve signal-to-noise ratio. The weighted value was obtained as an eigen value and an eigen vector by using the correlation coefficient of the signal. The weighted value obtained was then applied to the CDMA system to increase system performance and capacity. Both QPSK and OQPSK modulation systems were applied to analyze performance.

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