• 제목/요약/키워드: eigenvalue problem.

검색결과 550건 처리시간 0.021초

Local buckling of thin and moderately thick variable thickness viscoelastic composite plates

  • Jafari, Nasrin;Azhari, Mojtaba;Heidarpour, Amin
    • Structural Engineering and Mechanics
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    • 제40권6호
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    • pp.783-800
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    • 2011
  • This paper addresses the finite strip formulations for the stability analysis of viscoelastic composite plates with variable thickness in the transverse direction, which are subjected to in-plane forces. While the finite strip method is fairly well-known in the buckling analysis, hitherto its direct application to the buckling of viscoelastic composite plates with variable thickness has not been investigated. The equations governing the stiffness and the geometry matrices of the composite plate are solved in the time domain using both the higher-order shear deformation theory and the method of effective moduli. These matrices are then assembled so that the global stiffness and geometry matrices of a moderately thick rectangular plate are formed which lead to an eigenvalue problem that is solved to determine the magnitude of critical buckling load for the viscoelastic plate. The accuracy of the proposed model is verified against the results which have been reported elsewhere whilst a comprehensive parametric study is presented to show the effects of viscoelasticity parameters, boundary conditions as well as combined bending and compression loads on the critical buckling load of thin and moderately thick viscoelastic composite plates.

Hydroelastic vibration analysis of liquid-contained rectangular tanks

  • Jeong, Kyeong-Hoon
    • Structural Engineering and Mechanics
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    • 제40권5호
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    • pp.665-688
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    • 2011
  • This paper presents a theoretical analysis for the free vibration of rectangular tanks partially filled with an ideal liquid. Wet dynamic displacements of the tanks are approximated by combining the orthogonal polynomials satisfying the boundary conditions, since the rectangular tanks are composed of four rectangular plates. The classical boundary conditions of the tanks at the top and bottom ends are considered, such as clamped, simply supported, and clamped-free boundary conditions. As the facing rectangular plates are assumed to be geometrically and structurally identical, the vibration modes of the facing plates of the tanks can be divided into two categories: symmetric and antisymmetric modes with respect to the planes passing through the center of the tanks and perpendicular to the free liquid surface. The liquid displacement potentials satisfying the Laplace equation and liquid boundary conditions are derived, and the wet dynamic modal functions of a quarter of the tanks can be expanded by the finite Fourier transform for compatibility requirements along the contacting surfaces between the tanks and liquid. An eigenvalue problem is derived using the Rayleigh-Ritz method. Consequently, the wet natural frequencies of the rectangular tanks can be extracted. The proposed analytical method is verified by observing an excellent agreement with three-dimensional finite element analysis results. The effects of the liquid level and boundary condition at the top and bottom edges are investigated.

Free vibration analysis of rectangular plate with arbitrary edge constraints using characteristic orthogonal polynomials in assumed mode method

  • Kim, Kook-Hyun;Kim, Byung-Hee;Choi, Tae-Muk;Cho, Dae-Seung
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제4권3호
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    • pp.267-280
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    • 2012
  • An approximate method based on an assumed mode method has been presented for the free vibration analysis of a rectangular plate with arbitrary edge constraints. In the presented method, natural frequencies and their mode shapes of the plate are calculated by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion. Characteristic orthogonal polynomials having the property of Timoshenko beam functions which satisfies edge constraints corresponding to those of the objective plate are used. In order to examine the accuracy of the proposed method, numerical examples of the rectangular plates with various thicknesses and edge constraints have been presented. The results have shown good agreement with those of other methods such as an analytic solution, an approximate solution, and a finite element analysis.

주성분 분석을 이용한 빅데이터 분석 (Big Data Analysis Using Principal Component Analysis)

  • 이승주
    • 한국지능시스템학회논문지
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    • 제25권6호
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    • pp.592-599
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    • 2015
  • 빅 데이터 환경에서 빅데이터를 분석하기 위한 새로운 방법의 필요성이 대두되고 있다. 데이터의 크기, 다양성, 그리고 적재 속도 등의 빅데이터 특성으로 인해 모집단의 추론에서 전체 데이터의 분석이 가능해졌기 때문이다. 그러나 전통적인 통계분석 방법은 모집단으로부터 추출된 확률표본에 초점이 맞추어져 있다. 따라서 기존의 통계적 접근방법은 빅데이터 분석에 적합하지 않은 경우가 발생한다. 이와 같은 문제점을 해결하기 위하여 본 논문에서는 빅데이터분석을 위한 새로운 접근방법에 대하여 제안하였다. 특히 대표적인 다변량 통계분석 기법인 주성분 분석을 이용하여 효율적인 빅데이터분석을 위한 방법론을 연구하였다. 제안방법의 성능평가를 위하여 통계적 모의실험을 실시하였다.

초전도 플라이휠 에너지 저장장치의 강인제어를 이용한 전력계통의 저주파진동 억제 (Damping of Low Frequency Oscillation in Power System using Robust Control of Superconductor Flywheel Energy Storage System)

  • 이정필;김한근
    • Progress in Superconductivity
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    • 제14권1호
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    • pp.52-59
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    • 2012
  • In this paper, the robust superconductor flywheel energy storage system(SFESS) controller using $H_{\infty}$ control theory was designed to damp low frequency oscillation of power system. The main advantage of the $H_{\infty}$ controller is that uncertainties of power system can be included at the stage of controller design. Both disturbance attenuation and robust stability for the power system were treated simultaneously by using mixed sensitivity $H_{\infty}$ problem. The robust stability and the performance for uncertainties of power system were represented by frequency weighted transfer function. To verify control performance of proposed SFESS controller using $H_{\infty}$ control, the closed loop eigenvalue and the damping ratio in dominant oscillation mode of power system were analyzed and nonlinear simulation for one-machine infinite bus system was performed under disturbance for various operating conditions. The results showed that the proposed $H_{\infty}$ SFESS controller was more robust than conventional power system stabilizer (PSS).

독립좌표연성법을 이용한 원형 구멍을 갖는 단순지지 직사각형 평판의 자유진동해석 (Free Vibration Analysis of Simply-supported Rectangular Plate with a Circular Cutout by Independent Coordinate Coupling Method)

  • 곽문규;한상보
    • 한국소음진동공학회논문집
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    • 제16권6호
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    • pp.643-650
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    • 2006
  • This paper is concerned with the vibration analysis of a simply-supported rectangular plate with a circular cutout. Even though there have been many methods developed for the free vibration of the rectangular plate with a rectangular cutout, very few research has been carried out for the rectangular plate with a circular cutout. In this paper, a new methodology called independent coordinate coupling method, which was developed to save the computational effort for the free vibration analysis of rectangular plate with a rectangular cutout, is applied to the case of circular cutout. The independent coordinate coupling method employs the global coordinate system for the plate and the local coordinate system for the cutout. In the case of the rectangular plate with a circular cutout, the global coordinate system is the Cartesian coordinate system and the local coordinate system is the polar coordinate system. By imposing the compatibility condition, the relationship between the global coordinates and the local coordinates is derived. This equation is then used for the calculation of the mass and stiffness matrices resulting in eigenvalue problem. The numerical results show the efficacy of the proposed method.

복합재료 회전축의 진동 특성 및 안정성 해석 (Vibration and Stability of Composite Thin-Walled Spinning Shaft)

  • 윤형원;나성수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.1083-1088
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    • 2004
  • This paper deals with the vibration and stability of a circular cylindrical shaft, modeled as a tapered thin-walled composite beam and spinning with constant angular speed about its longitudinal axis, and subjected to an axial compressive force. Hamilton's principle and the assumed mode method are employed to derive the governing equations of motion. The resulting eigenvalue problem is analyzed, and the stability boundaries are presented for selected taper ratios and axial compressive force combinations. Taking into account the directionality property of fiber reinforced composite materials, it is shown that for a shaft featuring flapwise-chordwise-bending coupling, a dramatic enhancement of both the vibration and stability behavior can be reached. It is found that by the structural tailoring and tapering, bending natural frequencies, stiffness and stability region can be significantly increased over those of uniform shafts made of the same material. In addition, the particular case of a classical beam with internal damping effect is also included.

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양면에서 부분적으로 유체와 접하는 사각평판의 고유진동 (Free Vibration of a Rectangular Plate Partially in Contact with a Liquid at Both Sides)

  • 정경훈;이규만;김태완;박근배
    • 한국소음진동공학회논문집
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    • 제18권1호
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    • pp.123-130
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    • 2008
  • An analytical method for the free vibration of a flexible rectangular plate in contact with water is developed by the Rayleigh-Ritz method. The plate clamped along the edges is partially contacted with water at both sides. It is assumed that the contained water is incompressible and inviscid. The wet mode shape of the plate is assumed as a combination of the dry mode shapes of a clamped beam. The liquid motion is described by using the liquid displacement potential and determined by using the compatibility conditions along the liquid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict excellently the fluid-coupled natural frequencies comparing with the finite element analysis result.

변형된 이차원 PCA를 이용한 얼굴 인식 (Face Recognition Using Modified Two-Dimensional PCA)

  • 김영길;송영준;장언동;김동우;안재형
    • 한국산학기술학회논문지
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    • 제6권4호
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    • pp.291-295
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    • 2005
  • 본 논문은 변형된 2-D PCA를 이용한 얼굴 인식 방법에 대하여 제안한다. 기존의 PCA는 1 차원 벡터들로 공분산 행렬을 구하는 반면에 2-D PCA는 2 차원 영상을 직접적으로 이용하여 공분산 행렬을 구한 후 그것의 고유값에 따른 고유벡터를 구하여 특징 벡터들을 추출한다. 제안 방법은 두 개의 공분산 행렬들을 이용하여 선형 변환 행렬을 구하는 변형된 2-D PCA 방법을 적용하여 얼굴을 인식한다. 실험 결과는 2-D PCA 보다 제안된 방법이 $1\%$ 정도 얼굴 인식률이 더 좋으며, 안정된 인식률을 보여준다.

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STATCOM을 이용한 지역간 융통전력 증대방안에 관한 연구 (A Study on Enhancement Available Transfer Capability Using STATCOM)

  • 김양일;정성원;신운용;곽상운;김재현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 A
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    • pp.156-158
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    • 2004
  • Recently electrical industry has been rapidly restructured by deregulation in the developed countries. The voltage stability problem of a power system is associated with a rapid voltage drop due to heavy load and it occurs because of inadequate reactive power supply at some critical buses. More effective power system control means for line flow and bus voltage are required for applying FACTS. In this paper Jacobian method used to study on the voltage stability, The Jacobian method is to check the eigenvalue of the load flow Jacobian matrix. If the power system is unstable, one of the eigenvalues, at leasL has crossed the imaginary axis. This paper demonstrate enhancement of ATC by application of STATCOM at WSCC 9-bus system.

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