• 제목/요약/키워드: Eigenvalue Analysis

검색결과 797건 처리시간 0.033초

손상지수를 이용한 단순보의 손상추정 I. 이론 및 수치 해석 (Damage Estimation of Simple Beams using Damage Index : I. Theory and Numerical Analysis)

  • 김학수;장동일
    • 한국강구조학회 논문집
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    • 제8권4호통권29호
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    • pp.43-50
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    • 1996
  • Damage estimation of bridge structures has recently received considerable attention in the light of maintenance and retrofitting of existing structures under service loads and after natural disasters. A method for the damage assessment of bridge structures using a damage index technique is presented. The damage index is formulated for the changes of modal properties due to the change of the stiffness. In order to verify the method which is presented, numerical analysis is conducted on simple beam models. Each FE model is subjected to different damage scenarios, i.e., locations and degrees of damage. Results of numerical analysis indicate that the proposed method is capable of detecting inflicted damages using the eigenvalue of only first mode.

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조합공진 영역에서 감쇠의 영향을 고려한 비선형 진동 응답 특성 (Nonlinear Oscillation Characteristics in Combination Resonance Region Considering Damping Effects)

  • 정태건
    • 한국소음진동공학회논문집
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    • 제20권9호
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    • pp.849-855
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    • 2010
  • Damping may change the response characteristics of nonlinear oscillations due to the parametric excitation of a thin cantilever beam. When the natural frequencies of the first bending and torsional modes are of the same order of magnitude, we can observe the one-to-one combination resonance in the perturbation analysis depending on the characteristic parameters. The nonlinear behavior about the combination resonance reveals a chaotic motion depending on the natural frequencies and damping ratio. We can analyze the chaotic dynamics by using the eigenvalue analysis of the perturbed components. In this paper, we derived the equations for autonomous system and solved them to obtain the characteristic equation. The stability analysis was carried out by examining the eigenvalues. Numerical integration gave the physical behavior of each mode for given parameters.

Feasible Direction Method를 사용한 열.탄성.크리프 및 진동수에 대한 최적화 (Thermo-elastic Creep and Frequency Optimization by Using Feasible Direction Method)

  • 조희근;박영원;강연식;이경돈
    • 대한기계학회논문집A
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    • 제25권5호
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    • pp.857-865
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    • 2001
  • In finite element analysis, engineering optimizations are divided two major parts that are topology and structural optimization. Until these days most structural optimizations usually concentrate on single disciplinary optimization. Therefore numerical analysis and methodology which can optimize thermo-elastic creep and frequency phenomena are not suggested. In this paper finite element analysis methodology and algorithm of thermo -elastic creep and frequency optimizations are suggested and corroborate the efficiency of suggested new numerical methodology and algorithm by solving example problem.

설계파라미터 변경에 의한 비례 감쇠구조물의 동특성 변화 해석 (Eigenderivative Analysis by Modification of Design Parameter in the Proportional Damping System)

  • 이정우;오재응;이정윤
    • 한국소음진동공학회논문집
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    • 제16권5호
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    • pp.470-478
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    • 2006
  • An efficient method for change of eigenvectors and eigenvalues due to the modifying proportional damping structure using sensitivity coefficients is presented. Sensitivity coefficients are determined by iteration with eigenvalue and eigenvectors before modification of system. The proposed method is applied to examples of 3 degrees of freedom system and plate by modifying mass and stiffness. The predicted change of eigenvectors and eigenvalues are in a good agreement with these from the structural re-analysis after modification of mass and stiffness.

무힌지 복합재 헬리콥터 로터 시스템의 진동 저감을 위한 점탄성 감쇠처리 해석 및 공탄성 연구 (Viscoelastic Damping Treatment Analysis and Aeroelasticity for Vibration Reductions of a Hingeless Composite Helicopter Rotor System)

  • 황호연
    • 한국항공운항학회지
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    • 제15권3호
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    • pp.6-14
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    • 2007
  • In this research, vibration reduction and aeroelastic stability of a composite hingeless rotor hub flexure with viscoelastic constrained layer damping treatment(CLDT) were investigated. The composite flexures with viscoelastic CLDT were applied to hingeless rotor system to improve the in-plane stability of the lead-lag motion causing resonance. The modal test was performed and dynamic properties(natural frequency and loss factor) were acquired. Also, complex eigenvalue analysis(SOLlO7) in the NASTRAN structural analysis module was performed and compared with results of the modal test. To insure aeroelastic stability, damping ratio analyses of the hingeless rotor system with CLDT were accomplished at hovering condition due to collective pitch angle changes. Satisfactory results of increasing structural damping and stability were obtained.

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곡률 곡선보요소에 의한 곡선보의 고유치문제 해석 (The Analysis of Eigenvalue Problems of Curved Beam Using Curvature-Based Curved Beam Elements)

  • 양승용;신효철
    • 대한기계학회논문집
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    • 제17권12호
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    • pp.3020-3027
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    • 1993
  • Curved beam element has received attention because of its own usefulness and its bearing on general curved elements like shells. In conventional curved beam elements stiffness matrix is overestimated and eigensolutions are poor. To avoid this phenomenon it is necessary to use a large number of elements and, as a result, the total number of degrees of freedom is increased. In this paper the two-noded, with three degrees of freedom at each node, in-plane curvature-based curbed beam element is employed in eigen-analysis of curved beam. It is shown that the curvature-based beam element is very efficient in vibration analysis and also that it is applicable to both thin and thick curved beams.

적합직교분해를 이용한 2차원 실린더 후류 유동장 분석 및 재구성 (Analysis and Reconstruction of the 2-D Cylinder Wake Flow Using POD)

  • 이희남;김기희
    • 한국군사과학기술학회지
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    • 제13권1호
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    • pp.164-169
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    • 2010
  • Proper Orthogonal Decomposition (POD) is applied to the analysis of 2-dimensional cylinder wake flow. Time histories of flow variables were obtained by the incompressible CFD analysis. By using the method of snapshots the correlation matrix was constructed, and then eigenvalues, POD modes and time coefficients were calculated. Finally the flow field was reconstructed by using a few of the lower POD modes, and compared to the original ones.

Modified Airy Function Method Applied to Optical Waveguides and Quantum Tunneling: A Critical Analysis

  • Lee, Ki-Young;Kim, Chul Han;Park, Dongwook;Kim, Chang-Min
    • Journal of the Optical Society of Korea
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    • 제19권2호
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    • pp.188-198
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    • 2015
  • The validity of applying the Modified Airy Function (MAF) method to the problems of graded-index optical waveguides and graded potential barrier analysis was critically examined. In the former case, the method yielded very accurate results from the derived eigenvalue equations. In the latter case, however, the same method produced results that deviated significantly from exact numerical results for barriers with a smooth peak. The causes of the discrepancies were investigated in detail.

서울 서남권 돔 야구장의 Snapping 검토에 관한 연구 (A study of the Snapping investigations of Seoul Southwest Baseball Dome)

  • 김승덕;김남석
    • 한국공간구조학회논문집
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    • 제10권4호
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    • pp.133-140
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    • 2010
  • 본 논문은 서남권 돔 야구장의 불안정 거동을 파악하고자 한다. 해석 대상 구조물의 설계하중과 이들의 조합 하중에 의한 하중모드에 대하여 구조물의 비선형 Snapping 현상을 조사하며, 초기 불완전성은 접선강성행렬의 고유치해석을 통해 좌굴 모드를 얻고 이를 비선형해석에 이용한다. 단 부재좌굴 또는 국부좌굴 등은 본 연구과제의 연구범위에 고려치 않으며, 전체좌굴 현상에 한정한다.

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On the fundamental period of infilled RC frame buildings

  • Asteris, Panagiotis G.;Repapis, Constantinos C.;Cavaleri, Liborio;Sarhosis, Vasilis;Athanasopoulou, Adamantia
    • Structural Engineering and Mechanics
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    • 제54권6호
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    • pp.1175-1200
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    • 2015
  • This paper investigates the fundamental period of vibration of RC buildings by means of finite element macro-modelling and modal eigenvalue analysis. As a base study, a number of 14-storey RC buildings have been considered "according to code designed" and "according to code non-designed". Several parameters have been studied including the number of spans; the span length in the direction of motion; the stiffness of the infills; the percentage openings of the infills and; the location of the soft storeys. The computed values of the fundamental period are compared against those obtained from seismic code and equations proposed by various researchers in the literature. From the analysis of the results it has been found that the span length, the stiffness of the infill wall panels and the location of the soft storeys are crucial parameters influencing the fundamental period of RC buildings.