• 제목/요약/키워드: Eigen-frequency

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자유단 혹은 노드점에 작용하는 스프링과 부가질량을 받는 일단 지지보의 고유진동수 (Eigen-Frequency of a Cantilever Beam Restrained with Added Mass and Spring at Free End or a Node Point)

  • 심우건
    • 한국산학기술학회논문지
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    • 제19권12호
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    • pp.32-40
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    • 2018
  • 열 교환기/원자로의 과도한 진동을 방지 하려면 진동해석을 설계 단계에서 수행해야 한다. 진동 문제에서 고유 진동수의 정보는 열 교환기/원자로의 안전성을 평가하기 위하여 요구된다. 본 논문은 일단 지지보에 발생되는 고유치 문제를 해석하기 위하여 수치해석 방법인 Galerkin의 방법을 기술하였다. 일단 지지보는 자유단 끝점 또는 모드의 노드 포인트에 부가 질량과 스프링에 의하여 구속되어 있다. 수치해석으로 구한 고유진동수는 간단한 해석 방법과 간단한 테스트에 의하여 각각 구한 결과와 비교 되었다. Galerkin의 방법을 사용하여 논의된 일단 지지보의 고유 진동수를 구할 수 있음을 보였다. 부가 질량 증가함에 따라 고유 주파수는 감소하며 스프링 힘의 증가에 따라 고유 주파수는 상승함을 보였다. 무거운 부가 질량은 가연성 배관의 지지대 역할을 함을 보였다. 일단 지지보의 끝단에 설치된 부가 질량의 경우에 개발된 기존의 어림적 해석 방법으로도 일차 모두의 고유 진동수를 비교적 정확하게 구할 수 있음을 알 수 있었다.

하이드로릭 마운트가 장착된 지지계의 고유치 해석 (Eigen-Analysis of Engine mount system with Hydraulic Mount)

  • 고강호;김영호
    • 소음진동
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    • 제10권5호
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    • pp.800-805
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    • 2000
  • To determine the modal matrix and modal frequency of engine mount system, we most solve so-called eigen-value problem. However eigen-value problem of engine mount system with hydraulic mount can not be solved by general eigne-analysis algorithm because the properties of hydraulic mount vary with frequency. so in this paper the method for modal analysis of rigid body motions of an engine supported by hydraulic mount is proposed. Natural frequencies and mode shapes of this nonlinear system are obtained by using complex exponential method and Laplace transformation method. In time domain, impulse response functions are calculated by (two-sided) discrete inverse Fourier Transformation of forced frequency response functions achieved by Laplace transformation of the differential equation of motion. Considering the fact that frequency response functions synthesized by modal parameters form proposed method are in good agreement with original FRFs, it is proved that the proposed method is very efficient and useful for the analysis of eigne-value problem of hydraulic engine mount system.

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피치제어기의 고유치 변화에 따른 풍력발전기의 성능 (Wind Turbine Performance for Eigen Value Change of Pitch Controller)

  • 김종화;문석준;신윤호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2012년도 추계학술대회 논문집
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    • pp.337-343
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    • 2012
  • NREL(National Renewable Energy Laboratory) Baseline controller conduct using method proposed RISO National Laboratory in Region 3. which designed the blade-pitch control system using a single degree-of-freedom model of the wind turbine. Idealized PID-Controlled rotor-speed error will respond as a second-order system with the natural frequency and damping ratio. RISO proposed specific natural frequency(=0.6 rad/s) and damping ratio(=0.7). If specific Eigen value apply to NREL 5 MW wind turbine, differ with pitch respond for simulation results of RISO report. Variation of specific eigen value investigate performance of NREL 5 MW wind turbine.

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Simultaneous identification of stiffness and damping based on derivatives of eigen-parameters

  • Lia, H.;Liu, J.K.;Lu, Z.R.
    • Structural Engineering and Mechanics
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    • 제55권4호
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    • pp.687-702
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    • 2015
  • A method based on derivatives of eigen-parameters is presented for damage detection in discrete systems with dampers. The damage is simulated by decrease on the stiffness coefficient and increase of the damping coefficient. In the forward analysis, the derivatives of eigen-parameters are derived for the discrete system. In the inverse analysis, a derivative of eigen-parameters based model updating approach is used to identify damages in frequency domain. Two numerical examples are investigated to illustrate efficiency and accuracy of the proposed method. Studies in this paper indicate that the proposed method is efficient and robust for both single and multiple damages and is insensitive to measurement noise. And satisfactory identified results can be obtained from few numbers of iterations.

TCSC의 $H_{\infty}$ 제어에 의한 대규모 전력계통의 지역간 저주파진동 억제 PartI : 설치지점 선정 (Damping Inter-area Low Frequency Oscillations in Large Power Systems with $H_{\infty}$ Control of TCSC PARTI : TCSC Siting)

  • 김용구;심관식;송성근;김영환;남해곤
    • 대한전기학회논문지:전력기술부문A
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    • 제49권5호
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    • pp.226-232
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    • 2000
  • This paper presents application results of the augmented matrix eigen-sensitivity theories to TCSC siting problem for damping the inter-area low frequency oscillation in the large KEPCO system. First and second-order eigen-sensitivities of the inter-area low frequency oscillation in the large KEPCO system. First and second-order eigen-sensitivities of the inter-area mode are computed fro changes in susceptance of the transmission lines. The lines having high sensitivity are chosen as the initial candidates for installing TCSC. Then for each of the chosen candidates, Bodeplot of the transfer function with line susceptance as the input and the bus voltage at one side of the line as the output is computed. Using the Bode plots, the lines having any zeros near the inter-area mode are screened out since design of TCSC controller is very difficult in such a case. The $H_{\infty}$ TCSC controller installed at any finally chosen candidate is found to be effective in damping the inter-area oscillation, and the proposed TCSC siting algorithm is proved to be valid. Design of $H_{\infty}$ controller is described in Part IIof this paper.

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자동차 현가장치 부품에 대한 신뢰성 기반 최적설계에 관한 연구 (A Study for the Reliability Based Design Optimization of the Automobile Suspension Part)

  • 이종홍;유정훈;임홍재
    • 한국자동차공학회논문집
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    • 제12권2호
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    • pp.123-130
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    • 2004
  • The automobile suspension system is composed of parts that affect performances of a vehicle such as ride quality, handling characteristics, straight performance and steering effort, etc. Moreover, by using the finite element analysis the cost for the initial design step can be decreased. In the design of a suspension system, usually system vibration and structural rigidity must be considered simultaneously to satisfy dynamic and static requirements simultaneously. In this paper, we consider the weight reduction and the increase of the first eigen-frequency of a suspension part, the upper control arm, especially using topology optimization and size optimization. Firstly, we obtain the initial design to maximize the first eigen-frequency using topology optimization. Then, we apply the multi-objective parameter optimization method to satisfy both the weight reduction and the increase of the first eigen-frequency. The design variables are varying during the optimization process for the multi-objective. Therefore, we can obtain the deterministic values of the design variables not only to satisfy the terms of variation limits but also to optimize the two design objectives at the same time. Finally, we have executed reliability based optimal design on the upper control arm using the Monte-Carlo method with importance sampling method for the optimal design result with 98% reliability.

EGM96와 EIGEN-CG01C 모델에 의한 한반도 주변의 중력포텐셜 비교분석 (Gravity Potential Comparative Analysis around Korean Peninsula by EGM96 and EIGEN-CG01C Models)

  • 유상훈;김창환;민경덕
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2005년도 공동학술대회 논문집
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    • pp.261-266
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    • 2005
  • 인공위성 측지학의 발달로 최근 들어 정밀도와 해상도가 높아진 중력포텐셜 모델들이 공개되었다. 근래에 가장 많이 사용되는 EGM96과 CHAMP, GRACE 등의 저고도 위성자료를 기반으로 하는 가장 최근의 EIGEN-CG01C 모델을 이용하여 한반도와 인근지역을 포함하는 $123^{\circ}{\sim}132^{\circ}$ E, $33^{\circ}{\sim}43^{\circ}$ N의 연구지역에서 지오이드와 중력이상을 계산하고, 비교 검토하였다. 두 모델은 지오이드와 중력이상에서 0.90이상의 매우 높은 상관관계를 가지고 있으나, Amplitude 분석에서 EIGEN-CG01C 모델이 고주파영역이 우세한 것으로 나타났다. 두 모델을 통해 계산된 중력이상에서 북한지역 및 황해 연안 일부에서 다소 차이를 보인다. Power spectrum 분석을 통하여 대규모 지구조나 지하자원 탐사에 유용하게 활용될 수 있는 잔여이상을 계산하였다.

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위상 변경 고유치 재해석 기법을 이용한 최적 구조물 동특성 변경 (Optimal Structural Dynamics Modification Using Eigen Reanalysis Technique of Technique of Topological Modifications)

  • 이준호;박영진;박윤식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.77-81
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    • 2003
  • SDM (Structural Dynamics Modification) is a tool to improve dynamic characteristics of a structure, more specifically of a base structure, by adding or deleting auxiliary (modifying) structures. In this paper, the goal of the optimal SDM is set to maximize the natural frequency of a base plate structure by attaching serially-connected beam stiffeners. The design variables are chosen as positions of the attaching beam stiffeners, where the number of stiffeners is considered as a design space. The problem of non-matching interface nodes between the base plate and beam stiffeners is solved by using localized Lagrange multipliers, which act to glue the two structures with non-matching interface nodes. As fer the cases of non-matching interface nodes problem, the governing equation of motion of a structure can be considered from the viewpoint of a topological modification, which involves the change of the number of structural members and DOFs. Consequently, the eigenpairs of the beam-stiffened plate structure are obtained by using an eigen reanalysis technique of topological modifications. Evolution Strategies (ES), which is a probabilistic population-based optimization technique that mimics the principles from biological evolution in nature, is utilized as a mean for the optimization.

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커플시스템의 모우드 분석 연구 (Mode Analysis of Coupled System)

  • 김종도;윤문철
    • 한국기계가공학회지
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    • 제9권3호
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    • pp.28-34
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    • 2010
  • The suggested coupled system was analyzed using FRF and mode analysis. The eigen-mode of FRF analysis is consistent with that of conventional FFT in spectrum. Also, three numerical responses of second order system, which are coupled, was obtained using the Runge-Kutta Gill method. The displacement, velocity and acceleration response were calculated for the numerical analysis of coupled system and the displacement response was used for the calculation of FRF of this system. Using the mixed response of 1st and 2nd mode in example, the FRF was analysed for the analysis of mixed mode coupled system. Also, its mode shape was acquired by solving the eigen problem of coupled system.

언커플 시스템의 모우드 분석 연구 (Mode Analysis of Uncoupled System)

  • 김종도;윤문철;김선진;양보석
    • 한국기계가공학회지
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    • 제9권3호
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    • pp.35-41
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    • 2010
  • In this study, a mode analysis of uncoupled system was discussed using FRF. The eigen-mode range of FRF analysis is consistent with conventional FFT in spectrum. Also, the numerical response of second order uncoupled system was obtained using the Runge-Kutta Gill method. The displacement, velocity and acceleration response were calculated after numerical analysis and its response was used for the calculation of FRF for uncoupled system. Using the separated and mixed response of 1st and 2nd mode in example, its FRF was analysed for the prediction of the uncoupled systems and its mode shape was calculated by solving the eigen problem.