• Title/Summary/Keyword: eigen-analysis

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FE Model Improvement Using Experimental Data Under the Criterion of Eigen-Property Error Minimization (고유치 오차 최소화 기준에 따른 실험데이터에 의한 유한요소 모델 개선)

  • 지영춘;박윤식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.363-373
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    • 1995
  • In this study, a FE model tuning method using experimental modal data was suggested after examining all the published conventional methods. The idea of this method is introducing scale factors to maintain both the structural connectivity and the consistency in the corrected stiffness matrix which makes it always possible to interpret the stiffness elements with the corresponding physical configuration of the targeting structure. The scale factors are determined to minimize the objective function of eigen-properties. The proposed method was tested to determine the joint stiffness of a T shaped beam. The test results were also compared with the tuned stiffness obtained from a probed commercial package (SYSTUNE) and found that this method is very accurate and compatible.

A Study on Integrated Small Signal Stability Analysis of Power Systems (계통의 종합적 미소신호 안정도해석에 관한 연구)

  • Nam, Ha-Kon;Song, Sung-Geun;Kim, Yong-Gu;Shim, Kwan-Shik
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.685-688
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    • 1998
  • In this research project, two aspects of small signal stability are studied: improvement in Hessenberg method to compute the dominant electromechanical oscillation modes and siting FACTS devices to damp the low frequency oscillation. Fourier transform of transient stability simulation results identifies the frequencies of the dominant oscillation modes accurately. Inverse transformation of the state matrix with complex shift equal to the angular speed determined by Fourier transform enhances the ability of Hessenberg method to compute the dominant modes with good selectivity and small size of Hessenberg matrix. Any specified convergence tolerance is achieved using the iterative scheme of Hessenberg method. Siting FACTS devices such as SVC, STACOM, TCSC, TCPR and UPFC has been studied using the eigen-sensitivity theory of augmented matrix. Application results of the improved Hessenberg method and eigen-sensitivity to New England 10-machine 39-bus and KEPCO systems are presented.

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Eigen analysis of functionally graded beams with variable cross-section resting on elastic supports and elastic foundation

  • Duy, Hien Ta;Van, Thuan Nguyen;Noh, Hyuk Chun
    • Structural Engineering and Mechanics
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    • v.52 no.5
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    • pp.1033-1049
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    • 2014
  • The free vibration of functionally graded material (FGM) beams on an elastic foundation and spring supports is investigated. Young's modulus, mass density and width of the beam are assumed to vary in thickness and axial directions respectively following the exponential law. The spring supports are also taken into account at both ends of the beam. An analytical formulation is suggested to obtain eigen solutions of the FGM beams. Numerical analyses, based on finite element method by using a beam finite element developed in this study, are performed in order to show the legitimacy of the analytical solutions. Some results for the natural frequencies of the FGM beams are given considering the effect of various structural parameters. It is also shown that the spring supports show the greatest effect on the natural frequencies of FGM beams.

Optimal Shape Design of Magnetic Actuators for Magnetic and Dynamic Characteristic Improvement

  • Yoo, Jeong-Hoon;Jung, Jae-Yeob;Hong, Hyeok-Soo
    • Journal of Magnetics
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    • v.16 no.3
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    • pp.268-270
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    • 2011
  • This study introduces a new topology optimization scheme combing the genetic algorithm (GA) with the on/off sensitivity method for the magnetic actuator core and the armature design. The design process intended to maximize the first eigen-frequency of the armature part and the magnetic actuating force acting on the armature simultaneously. GA based optimal design was carried out to obtain the initial structure and the modified on/off sensitivity method was succeeded to accelerate the design process. Final results show tens of percent improvement in actuating force as well as the first eigen-frequency of the armature.

A Study on Integrated Small Signal Stability Analysis of Power Systems (계통의 종합적 미소신호 안정도해석에 관한 연구)

  • Nam, Ha-Kon;Song, Sung-Geun;Kim, Yong-Gu;Kim, Kwan-Shik
    • Proceedings of the KIEE Conference
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    • 1998.11a
    • /
    • pp.365-368
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    • 1998
  • In this research project two aspects of small signal stability are studied: improvement in Hessenberg method to compute the dominant electromechanical oscillation modes and siting FACTS devices to damp the low frequency oscillation. Fourier transform of transient stability simulation results identifies the frequencies of the dominant oscillation modes accurately. Inverse transformation of the state matrix with complex shift equal to the angular speed determined by Fourier transform enhances the ability of Hessenberg method to compute the dominant modes with good selectivity and small size of Hessenberg matrix. Any specified convergence tolerance is achieved using the iterative scheme of Hessenberg method. Siting FACTS devices such as SVC, STACOM, TCSC, TCPR and UPFC has been studied using the eigen-sensitivity theory of augmented matrix. Application results of the improved Hessenberg method and eigen-sensitivity to New England 10-machine 39-bus and KEPCO systems are presented.

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Impact and post-impact of ring supports: Eigenfrequency response at nano-scale

  • Madiha Ghamkhar;MohamedA. Khadimallah;Muzamal Hussain;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • v.88 no.2
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    • pp.109-115
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    • 2023
  • In this paper, frequencies of zigzag structure of carbon nanotubes isinvestigated based on Donnell shell theory. These tubes are wrapped with the ring supports in the axial direction. The fundamental frequency curves displayed in article show the dependence of vibrations attributes to zigzag single walled carbon nanotubes. Various zigzag indices are introduced against the variation of length to predict the vibration. Also, the influence of ring supports is sketched with proposed structure for frequency analysis. The frequencies of zigzag tube decreases as the length increases. It is observed that the frequencies decreases with ring support and have higher frequencies without ring. The problem is formulated using Partial Differential Equation. Three expressions of modal deformation displacement functions is used for the elimination of temporal variation to form the solution in the eigen from. For the stability of present study the results are compared with experimentally and numerically in the open text.

Simply supported boundary condition for bifurcation analysis of functionally graded material: Thickness control by exponential fraction law

  • Shadi Alghaffari;Muzamal Hussain;Mohamed A. Khadimallah;Faisal Al Thobiani;Hussain Talat Sulaimani
    • Advances in nano research
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    • v.14 no.4
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    • pp.303-312
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    • 2023
  • In this study, the bifurcation analysis of functionally graded material is done using exponential volume fraction law. Shell theory of Love is used for vibration of shell. The Galerkin's method is applied for the formation of three equations in eigen value form. This eigen form gives the frequencies using the computer software MATLAB. The variations of natural frequencies (Hz) for Type-I and Type-II functionally graded cylindrical shells are plotted for exponential volume fraction law. The behavior of exponent of volume fraction law is seen for three different values. Moreover, the frequency variations of Type-I and -II clamped simply supported FG cylindrical shell with different positions of ring supports against the circumferential wave number are investigated. The procedure adopted here enables to study vibration for any boundary condition but for brevity, numerical results for a cylindrical shell with clamped simply supported edge condition are obtained and their analysis with regard various physical parameters is done.

Electromagnetic Penetration into an Annular Aperture in a Thick Conductor

  • Lee Haeng-Seon
    • Journal of electromagnetic engineering and science
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    • v.5 no.3
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    • pp.146-151
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    • 2005
  • Electromagnetic penetration into an annular aperture in a thick conducting plane is investigated with the integral transform and eigen-function expansion method. The solution is analytic and is represented in rapidly-convergent series which is amenable to numerical analysis. Numerical computations shows that apertures with narrow annular gap have sharp transmit power peaks in frequency response.

Stability Investigation of Rotor Systems by Complex Modal Analysis (복소 모드해석을 이용한 회전체의 안정성 분석)

  • Han, Dongju
    • Journal of Aerospace System Engineering
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    • v.7 no.4
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    • pp.27-35
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    • 2013
  • Identifying the stability of rotor systems is prerequisite for clear determination of the parameter identification and safety, through which operating conditions may be rationally ascertained. For this purpose, the complex modal analysis of periodically time-varying system has been introduced by transforming the relation between periodic eigen-vectors and the corresponding adjoint vectors into the latent value problem. Stability investigation associated with modal features for rotor systems is performed using numerical simulation based upon the analysis model.

An Object Detection and Tracking System using Fuzzy C-means and CONDENSATION (Fuzzy C-means와 CONDENSATION을 이용한 객체 검출 및 추적 시스템)

  • Kim, Jong-Ho;Kim, Sang-Kyoon;Hang, Goo-Seun;Ahn, Sang-Ho;Kang, Byoung-Doo
    • Journal of Korea Society of Industrial Information Systems
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    • v.16 no.4
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    • pp.87-98
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    • 2011
  • Detecting a moving object from videos and tracking it are basic and necessary preprocessing steps in many video systems like object recognition, context aware, and intelligent visual surveillance. In this paper, we propose a method that is able to detect a moving object quickly and accurately in a condition that background and light change in a real time. Furthermore, our system detects strongly an object in a condition that the target object is covered with other objects. For effective detection, effective Eigen-space and FCM are combined and employed, and a CONDENSATION algorithm is used to trace a detected object strongly. First, training data collected from a background image are linear-transformed using Principal Component Analysis (PCA). Second, an Eigen-background is organized from selected principal components having excellent discrimination ability on an object and a background. Next, an object is detected with FCM that uses a convolution result of the Eigen-vector of previous steps and the input image. Finally, an object is tracked by using coordinates of an detected object as an input value of condensation algorithm. Images including various moving objects in a same time are collected and used as training data to realize our system that is able to be adapted to change of light and background in a fixed camera. The result of test shows that the proposed method detects an object strongly in a condition having a change of light and a background, and partial movement of an object.