• Title/Summary/Keyword: eigenvalue analysis

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A Study on the Effect of SVC in One machine infinite bus system (전력계통의 미소신호안정도에 미치는 무효전력보상기의 영향에 관한연구)

  • Kwon, S.H.;Kim, D.Y.;Ro, K.M.;Yoo, K.Y.
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.497-499
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    • 1995
  • The effect of static var compensator(SVC) in one machine infinite bus system is investigated. SVC is installed in generator terminal and the structure of state matrix including SVC is represented. Eigenvalue analysis is performed in changing the value of SVC parameter to show the effect of SVC. The effect of SVC in eigenvalue analysis is small in the case of one machine infinite bus system.

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Natural frequency error estimation for 3D brick elements

  • Stephen, D.B.;Steven, G.P.
    • Structural Engineering and Mechanics
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    • v.5 no.2
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    • pp.137-148
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    • 1997
  • In computing eigenvalues for a large finite element system it has been observed that the eigenvalue extractors produce eigenvectors that are in some sense more accurate than their corresponding eigenvalues. From this observation the paper uses a patch type technique based on the eigenvector for one mesh quality to provide an eigenvalue error indicator. Tests show this indicator to be both accurate and reliable. This technique was first observed by Stephen and Steven for an error estimation for buckling and natural frequency of beams and two dimensional in-plane and out-of-plane structures. This paper produces and error indicator for the more difficult problem of three dimensional brick elements.

Nonlinear free vibration analysis of moderately thick viscoelastic plates with various geometrical properties

  • Nasrin Jafari;Mojtaba Azhari
    • Steel and Composite Structures
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    • v.48 no.3
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    • pp.293-303
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    • 2023
  • In this paper, geometrically nonlinear free vibration analysis of Mindlin viscoelastic plates with various geometrical and material properties is studied based on the Von-Karman assumptions. A novel solution is proposed in which the nonlinear frequencies of time-dependent plates are predicted according to the nonlinear frequencies of plates not dependent on time. This method greatly reduces the cost of calculations. The viscoelastic properties obey the Boltzmann integral law with constant bulk modulus. The SHPC meshfree method is employed for spatial discretization. The Laplace transformation is used to convert equations from the time domain to the Laplace domain and vice versa. Solving the nonlinear complex eigenvalue problem in the Laplace-Carson domain numerically, the nonlinear frequencies, the nonlinear viscous damping frequencies, and the nonlinear damping ratios are verified and calculated for rectangular, skew, trapezoidal and circular plates with different boundary conditions and different material properties.

Evaluation of Structural Performance and Dynamic Characteristics of Korean Traditional Timber Structure Sungnyemun (한국 전통 목조건축 숭례문의 구조성능 및 동적특성 평가)

  • Kim, Yeong-Min
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.6
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    • pp.607-614
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    • 2015
  • In this research, the structural analysis and safety evaluation for Sungnyemun -No.1 national treasure of Korea- was performed. Roof loads were calculated in detail, and structural analysis model was constructed using Midas Gen ver.820. Static structural analysis under vertical loads was performed and safety of main structural members and serviceability of main horizontal members were evaluated. To evaluate dynamic characteristics of Sungnyemun, both field measurements by impact hammer test and eigenvalue analysis by structural analysis software were performed and the results were compared. Sungnyemun showed rooms in their structural capacity.

Analysis of Out-of-plane Motion of a Disc Brake System Considering Contact Stiffness (접촉 강성을 고려한 디스크브레이크의 면외진동 해석)

  • Joe, Yong-Goo;Oh, Jae-Eung;Shin, Ki-Hong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.597-600
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    • 2004
  • A two-degree-of-freedom out-of-plane model with contact stiffness is presented to describe dynamical interaction between the pad and disc of a disc brake system. It is assumed that the out-of-plane motion of the system depends on the friction force acting along the in-plane direction. Dynamic friction coefficient is modelled as a function of both in-plane relative velocity and out-of-plane normal force. When the friction coefficient depends only on the relative velocity, the contact stiffness has the role of negative stiffness. The results of stability analysis show that the stiffness of both pad and disc are equally important. Complex eigenvalue analysis is conducted for the case that the friction coefficient is also dependent on the normal force. The results further verify the importance of the stiffness. It has also been found that increasing the gradient of friction coefficient with respect to the normal force makes the system more unstable. Nonlinear analysis is also performed to demonstrate various responses. Comparing the responses with experimental data has shown that the proposed model may qualitatively well represent a certain type of brake noise.

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Probabilistic finite Element Analysis of Eigenvalue Problem- Buckling Reliability Analysis of Frame Structure- (고유치 문제의 확률 유한요소 해석)

  • 양영순;김지호
    • Computational Structural Engineering
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    • v.4 no.2
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    • pp.111-117
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    • 1991
  • The analysis method calculating the mean and standard deviation for the eigenvalue of complicated structures in which the limit state equation is implicitly expressed is formulated and applied to the buckling analysis by combining probabilistic finite element method with direct differential method which is a kind of sensitivity analysis technique. Also, the probability of buckling failure is calculated by combining classical reliability techniques such a MVFOSM and AFOSM. As random variables external load, elastic modulus, sectional moment of inertia and member length are chosen and Parkinson's iteration algorithm in AFOSM is used. The accuracy of the results by this study is verified by comparing the results with the crude Monte Carlo simulation and Importance Sampling Method. Through the case study of some structures the important aspects of buckling reliability analysis are discussed.

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