• Title/Summary/Keyword: eigenvalue analysis

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Free Vibration of Primary-Secondary Structures with Multiple Connections (다중 지지된 주-부 구조물의 자유 진동)

  • 민경원
    • Computational Structural Engineering
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    • v.4 no.4
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    • pp.97-106
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    • 1991
  • The frequency window method has been extended to include strong coupling and multiple connections between the primary structure and the secondary structures. The rational polynomial expansion of the eigenvalue problem and the analytical methods for its solution are novel and distinguish this work from other eigenvalue analysis methods. The key results are the identification of parameters which quantify the resonance and coupling characteristics; the derivation of analytical closed-form expressions describing the fundamental modal properties in the frequency windows; and the development of an iterative procedure which yields accurate convergent results for strongly-coupled primary-secondary structures.

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HVDC System SSR Damping Controller Design Using Universal SSR Eigenvalue Analysis Program (범용 SSR 고유치 해석 프로그램을 이용한 HVDC 시스템 SSR 댐핑제어기 설계)

  • Kim, D.J.;Nam, H.K.;Kim, Y.G.;Moon, Y.H.
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.230-233
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    • 2003
  • This paper describes the design of torsional oscillation controller in HVDC system using the universal SSR eigenvalue program. The suggested design procedures consist of three steps. Fist step is to identify the characteristics of AC system with torsional modes and HVDC system; then, to determine the control parameters of the suggested torsional oscillation controller (SSRStab) to compensate the phasor lagging due to rectifier controller. Finally, using time-domain simulation program verifies the designed parameters and determine the appropriate gain. The suggested method is simple to tune the parameters and effective to damp the least stable torsional oscillation mode.

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A Study on the Identification of the EMG Signal in the Wavelet Transform Domain (웨이브렛 변환평면에서의 근전도신호 인식에 관한 연구)

  • 김종원;김성환
    • Journal of Biomedical Engineering Research
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    • v.15 no.3
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    • pp.305-316
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    • 1994
  • All physical data in the real world are nonstationary signals that have the time varying statistical characteristics. Although few algorithms suitable to process the nonstationary signals have ever been suggested, these are treated the nonstationary signals under the assumption that the nonstationary signal is a piece-wise stationary signal. Recently, statistical analysis algorithms for the nonstationary signal have concentrated so much interest. In this paper, nonstationary EMG signals are mapped onto the orthogonal wavelet transform domain so that the eigenvalue spread of its autocorrelation matrix could be more smaller than that in the time domain. Then the model in the wavelet transform domain and an algorithm to estimate the model parameters are suggested. Also, an test signal generated by a white gaussian noise and the EMG signal are identified, and the algorithm performance is considered in the sense of the mean square error and the evaluation parameters.

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Implementation of Eigenvalue Analysis Program for Microwave Components Using High Order Vector Elements (고차벡터요소를 사용한 초고주파 소자의 고유치 해석 프로그램 구현)

  • 김형석;김영태
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.50 no.6
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    • pp.296-302
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    • 2001
  • In this paper, the vector finite elements are adopted to calculate eigenvalues of RF and microwave components. Simulation results show that spurious are completely avoided because of the divergence free nature of the vector elements. This paper seeks to extend these low-order elements to higher orders to improve the accuracy of numerical solution. Investigation of numerical results for a rectangular waveguide was provided. A vector finite element program was implemented to allow propagation constants and electric field distributions to be directly computed in the rectangular and circular waveguides which are partially filled with the dielectric.

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An Analysis of Eigenvector Coefficient for V-notched Cracks in Pseudo-isotropic and Anisotropic Dissimilar Materials (유사등방성과 이방성 이종재 V-노치 균열의 고유벡터계수 해석)

  • Kim, Jin-Gwang;Jo, Sang-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.12
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    • pp.88-94
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    • 2001
  • The V-notched crack problem in dissimilar materials can be formulated as an eigenvalue problem. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination of the eigenvector coefficients associated with eigenvalues for V-notched cracks in pseudo-isotropic and anisotropic dissimilar materials. The RWCIM algorithm is programed by the commercial numerical program, MATHEMATICA. The numerical results obtained are shown that the RWCIM is a useful method for determining the eigenvector coefficients of V-notched cracks in pseudo-isotropic and anisotropic dissimilar materials.

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Crack Energy and Governing Equation of an Extensible Beam with Multiple Cracks (다중 균열을 갖는 신장 보의 균열 에너지와 지배방정식)

  • Shon, Sudeok
    • Journal of Korean Association for Spatial Structures
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    • v.24 no.1
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    • pp.65-72
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    • 2024
  • This paper aims to advance our understanding of extensible beams with multiple cracks by presenting a crack energy and motion equation, and mathematically justifying the energy functions of axial and bending deformations caused by cracks. Utilizing an extended form of Hamilton's principle, we derive a normalized governing equation for the motion of the extensible beam, taking into account crack energy. To achieve a closed-form solution of the beam equation, we employ a simple approach that incorporates the crack's patching condition into the eigenvalue problem associated with the linear part of the governing equation. This methodology not only yields a valuable eigenmode function but also significantly enhances our understanding of the dynamics of cracked extensible beams. Furthermore, we derive a governing equation that is an ordinary differential equation concerning time, based on orthogonal eigenmodes. This research lays the foundation for further studies, including experimental validations, applications, and the study of damage estimation and detection in the presence of cracks.

Out-of-plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method

  • Lee, Jinhee
    • International Journal of Precision Engineering and Manufacturing
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    • v.5 no.2
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    • pp.53-59
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    • 2004
  • The pseudospectral method is applied to the analysis of out-of$.$plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions. The present method gives good accuracy with only a limited number of collocation points.

In-Plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method

  • Lee, Jinhee
    • Journal of Mechanical Science and Technology
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    • v.17 no.8
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    • pp.1156-1163
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    • 2003
  • The pseudospectral method is applied to the analysis of in-plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of rectangular and circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions and the results are compared with those by transfer matrix method. The present method gives good accuracy with only a limited number of collocation points.