• Title/Summary/Keyword: 고유치 해석

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A Study on Calculation of Cross-Section Properties for Composite Rotor Blades Using Finite Element Method (유한요소법 기반의 복합재료 블레이드 단면 특성치 계산에 관한 연구)

  • Park, Il-Ju;Jung, Sung-Nam;Cho, Jin-Yeon;Kim, Do-Hyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.5
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    • pp.442-449
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    • 2009
  • A two-dimensional cross-section analysis program based on the finite element method has been developed for composite blades with solid, thin-walled and compound cross-sections. The weighted-modulus method is introduced to determine the laminated composite material properties. The shear center and the torsion constant for any given section are calculated according to the Trefftz' definition and the St. Venant torsion theory, respectively. The singular value problem of cross-section stiffness properties faced during the section analysis has been solved by performing an eigenvalue analysis to remove the rigid body mode. Numerical results showing the accuracy of the program obtained for stiffness, offset and inertia properties are compared in this analysis. The current analysis results are validated with those obtained by commercial software and published data available in the literature and a good correlation has generally been achieved through a series of validation study.

Improvement of Subspace Iteration Method with Shift (쉬프트를 갖는 부분공간 반복법의 개선)

  • Jung, Hyung Jo;Kim, Man Cheol;Park, Sun Kyu;Lee, In Won
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.473-486
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    • 1998
  • A numerically stable technique to remove the limitation in choosing a shift in the subspace iteration method with shift is presented. A major difficulty of the subspace iteration method with shift is that because of singularity problem, a shift close to an eigenvalue can not be used, resulting in slower convergence. This study solves the above singularity problem using side conditions without sacrifice of convergence. The method is always nonsingular even if a shift is an eigenvalue itself. This is one of the significant characteristics of the proposed method. The nonsingularity is proved analytically. The convergence of the proposed method is at least equal to that of the subspace iteration method with shift, and the operation counts of above two methods are almost the same when a large number of eigenpairs are required. To show the effectiveness of the proposed method, two numerical examples are considered.

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A Study on the Bucking Load Formulae for the Single Layer Latticed Dome (단층 래티스 돔의 좌굴하중 산정식에 관한 연구)

  • Han, Sang-Eul;Yang, Jae-Geun;Lee, Sang-Ju;Lee, Jung-Hyun
    • Journal of Korean Association for Spatial Structures
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    • v.6 no.1 s.19
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    • pp.75-82
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    • 2006
  • The single layer latticed dome is very sensitive on the slenderness ratio and half open angle of the elements, load condition, and the connection type because it is organized by a lot of thin elements, so we have to use the geometrically nonlinear buckling load when the buckling of the structures is analyzed. But, it is very difficult to design the single layer latticed domes considered all renditions. Therefore the purpose of this paper is to propose the appropriate design method of the single layer latticed dome considered the geometrically nonlinear buckling load in base of the linear buckling load by the eigenvalue analysis.

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Contingency Analysis for Small Signal Stability of Power Systems (전력계통의 미소신호안정도 상정사고 해석)

  • 심관식;김용구;문채주
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.3
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    • pp.127-137
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    • 2003
  • Contingency analysis is one of the most important tasks encountered by planning and operation of lafe scale power systems. This paper describes a new contingency analysis methods for small signal security assessment based on the eigen-sensitivity/perturbation of the electromechanical oscillation modes. The eigen-sensitivity/perturbation with respect to line suceptances and controller parameters can he used to find possible sources of the system instability, and to select contingency for small signal stability. Also, the contingency selection to identify critical generators for MW changes can be obtained by computing the relative movement of the system oscillation modes. The proposed algorithm has been successfully tested on the KEPCO systems which is comprised of 791-bus, 1575-branch and program PSS/E

Development of Dynamic Analysis Program for Wind Turbine Blade (풍력 발전기 블레이드의 동특성 해석 프로그램 개발)

  • Seo, Young-Su;Park, Il-Ju;Jung, Sung-Nam;Shin, Eui-Sup
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.64-67
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    • 2010
  • 본 논문에서는 풍력 발전기에 사용되는 블레이드의 동특성을 해석하기 위한 프로그램을 개발하였다. 복잡한 형상의 풍력 발전기 블레이드의 모델을 단순화시키기 위하여 보 이론을 이용하였다. 블레이드의 회전 운동은 Hamilton 원리를 유한요소 보 모델을 이용하여 정식화를 수행하였다. 회전 속도에 따라 블레이드에 적용되는 원심력과 검증된 단면 물성치를 이용하여 복합재료 블레이드의 고유치 해석을 수행하였다. 기존의 상용 소프트웨어의 해석 결과와 비교를 통하여 검증 연구를 수행하였으며, 이를 토대로 본 해석 프로그램의 타당성을 보였다.

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Effect of Compressive Force and Torque on Lateral Vibration Characteristics of Rotor System (압축력 및 토오크가 회전축의 휨진동 특성에 미치는 영향)

  • 홍장표;한동철
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1990.10a
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    • pp.199-203
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    • 1990
  • 본 연구에서는 일반적인 형상을 갖는 회전축에서 축 방향 하중과 토오크를 각각 또는 동시에 고려할 수 있는 전달 행렬을 수식화하였고, 이에 의한 진 동 특성을 해석하기 위하여 강제진동 해석 및 자유진동 해석을 수행하였으 며, 해석결과에 대한 신빙성을 얻기 위하여 과도진동 해석 및 이산화 FFT를 통하여 검산기능을 추가하였다. 그리고 전달 행렬법에 새로운 고유치 수치해 법과 수치 적분법의 적용을 통하여 `수렴성과 안정성을 개선하였다.

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Improved Static Element Stiffness Matrix of Thin-Walled Beam-Column Elements (박벽보-기둥 요소의 개선된 정적 요소강성행렬)

  • Yun, Hee Taek;Kim, Nam Il;Kim, Moon Young;Gil, Heung Bae
    • Journal of Korean Society of Steel Construction
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    • v.14 no.4
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    • pp.509-518
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    • 2002
  • In order to perform the spatial buckling and static analysis of the nonsymmetric thin-walled beam-column element, improved exact static stiffness matrices were evaluated using equilibrium equation and force-deformation relationships. This numerical technique was obtained using a generalized linear eigenvalue problem, by introducing 14 displacement parameters and system of linear algebraic equations with complex matrices. Unlike the evaluation of dynamic stiffness matrices, some zero eigenvalues were included. Thus, displacement parameters related to these zero eigenvalues were assumed as polynomials, with their exact distributions determined using the identity condition. The exact displacement functions corresponding to three loadingcases for initial stress-resultants were then derived, by consistently combining zero and nonzero eigenvalues and corresponding eigenvectors. Finally, exact static stiffness matrices were determined by applying member force-displacement relationships to these displacement functions. The buckling loads and displacement of thin-walled beam were evaluated and compared with analytic solutions and results using ABAQUS' shell element or straight beam element.

Sensitivity Analysis of Power System Including Series FACTS Device Based on RCF Method (직렬형 FACTS 설비를 포함하는 전력시스템의 RCF 해석법에 기초한 감도해석)

  • Kim, Deok-Young
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.3
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    • pp.624-631
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    • 2011
  • In this paper, the RCF method is used in sensitivity analysis problems of the discrete power systems including both series FACTS equipments such as TCSC in transmission lines and generator controllers such as Exciter and PSS in generator terminal. To apply the RCF method in small signal stability problems of discrete power systems, state transition equations of controllers and TCSC are derived and the sensitivity calculation algorithm using state transition equations in discrete time domain is devised. The results of eigenvalue analysis showed that the variations of eigenvalues after periodic switching operations of TCSC can be calculated exactly by the RCF method and the change of firing angles in TCSC have important effect to determine the stability of power systems.

Computational Modelling Method by Using the Natural Frequencies of Five-Story Stone Pagoda in Chongnimsa Site (고유진동수를 이용한 정림사지 5층 석탑의 구조모델)

  • Lee, Sung-Min;Lee, Ki-Hak;Park, Sun-Woo;Suh, Man-Chul;Lee, Chan-Hee
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.5
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    • pp.67-74
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    • 2008
  • Multi-layered stone masonry monuments, such as stone pagoda can be modeled as a multi-degrees of freedom system. The dynamic behavior of these structures are mainly influenced by contour condition of contacting surface of stones. In this case the mass of the system can be easily estimated, mean while the estimation of stiffness at junction is not simple. In this paper a method for estimating the spring constant at the contacting surface of stone in proposed. This paper describes a method of computational modelling technique for structural analysis of stone pagodas using measurement of natural frequency and eigenvalue analysis. For this purpose Five story stone pagoda in Cchongnimsa site was selected as a model.

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