• Title/Summary/Keyword: 근사해석법

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Time Simulation Algorithm by Parabolic Approximation Method for Powre System Tra (포물선 근사법에 의한 전력계통 과도 안정도 시모의 해석 알고리즘 개선에 관한 연구)

  • Lee, J.G.;Hwang, J.H.;Ryu, H.S.;Moon, Y.H.
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.184-186
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    • 2001
  • 지금까지 전력계통에 대한 안정도 해석이 활발하게 논의되고 있다. 과도 안정도 해석의 시모의법에서 보편적으로 사용되고 있는 알고리즘들에서 기존에 사용되어졌던 SI법 중 Trapezoidal법이 알려져 있으나 그 데이터 오차가 많아 신뢰할 수 없기 때문에 거의 사용되지 않고 있는 현실이다. 본 논문에서는 이러한 시영역 모의 방법 중 SI법의 Trapezoidal법이 오차가 많은 단점을 없애기 위해서 전력계통 상태변수의 업데이트를 위한 새로운 알고리즘을 제안하였다. 제안된 알고리즘을 명확한 수학적 이론으로 증명하였으며, 제안된 방법을 전력계통에 적용하여 과도 안정도 해석을 한다.

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Analysis of a Non-proportionally Damped Structure Equipped with Viscoelastic Dampers Subjected to Stationary Wind Loads (점탄성감쇠기를 설치한 비비례 감쇠 구조물의 풍응답 해석)

  • 김진구;이창용
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.649-659
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    • 1999
  • 본 연구에서는 점탄성감쇠기가 설치된 비비례 감쇠 구조물의 바람에 대한 확률적 응답을 진동수영역에서 구하였다. 복소수 고유치 및 고유백터를 바탕으로 모드중첩법을 이용하여 응답의 RMS 값을 구하고 그것을 근사적인 방법인 모드 변형에너지법에서 얻은 결과와 비교하였다. 또한, 가력 진동수에 따라서 변하는 점탄성감쇠기의 강성 및 감쇠 계수를 상수로 모형화하였을 때의 풍응답 해석 결과의 정확성을 진동수영역에서 검증하였다. 해석결과에 의하면 감쇠기의 진동수 의존 특성은 구조물의 1차 고유 진동수에 의해서 비교적 정확하게 표현되었고, 모드 변형에너지법은 대체로 정확한 결과를 도출하였지만, 가속도 응답을 구할 때에는 다소 큰 오차를 유발하였다.

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Analytical Solution for Harbour Oscillations (항내응답에 대한 해석해)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.1
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    • pp.72-80
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    • 1996
  • Two analytical solutions for oscillations in a rectangular harbour are presented. In this paper, the correct solution is obtained by use of matched asymptotic expansion method, which was first derived by Mei(1989). The other solution derived from eigenfunction expansion method is also presented, in which more accurate numerical integration is employed. In order to check the solutions, amplification factors inside the harbor are calculated and plotted by both analytical methods and numerical boundary integral equation method.

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A Method for Vibration and Sensitivity Analysis of Structure Systems with Non-linear Characteristics (비선형 특성을 가진 구조시스템의 진동과 감도해석 방법)

  • Moon, Byung-Young;Kim, Sa-Soo;Iwatsubo, Takuzo
    • Journal of Ocean Engineering and Technology
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    • v.13 no.4 s.35
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    • pp.10-18
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    • 1999
  • 본 논문에서는 대형구조물의 해석에 있어서 부분구조합성법과 섭동법을 이용하여 복잡한 비선형시스템의 해석방법을 제안하였다. 해석방법은 전체시스템을 먼저 몇 개의 분계로 분할한다. 각 분계의 운동방정식에 비선형항이 존재하여도 전체시스템의 지배적 진동모드는 선형모드라는 가정하에 이 시스템의 각 분계를 모드좌표로 변환한다. 이때, 비선형항은 근사적으로 변환한다. 그리고 섭동법을 이용하여 각 분계의 모드좌표방정식은 섭동좌수별로 정식화되어 순차적으로 구해진다. 비선형의 감도는 비선형계수로 정의되고, 그에 상응하는 강성에 의해 구해진다. 제안된 해석방법으로 비선형회전체, 비선형 베어링-페데스탈로 구성된 대형시계구조물의 진동을 해석하였다. 해석방법의 유효성을 평가하기 위해 응답의 정도와 계산소요시간을 유한요소법의 결과와 비교 분석하였다.

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A Gridless Finite Difference Method for Elastic Crack Analysis (탄성균열해석을 위한 그리드 없는 유한차분법)

  • Yoon, Young-Cheol;Kim, Dong-Jo;Lee, Sang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.321-327
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    • 2007
  • This study presents a new gridless finite difference method for solving elastic crack problems. The method constructs the Taylor expansion based on the MLS(Moving Least Squares) method and effectively calculates the approximation and its derivatives without differentiation process. Since no connectivity between nodes is required, the modeling of discontinuity embedded in the domain is very convenient and discontinuity effect due to crack is naturally implemented in the construction of difference equations. Direct discretization of the governing partial differential equations makes solution process faster than other numerical schemes using numerical integration. Numerical results for mode I and II crack problems demonstrates that the proposed method accurately and efficiently evaluates the stress intensity factors.

Analysis of Vibration of a Simple Plate In a Medium-to-High Frequency Range With Power Flow Finite Element Method (파워흐름유한요소법에 의한 중고주파수 영역에서 단순 평판의 진동 해석)

  • Seo, Seong-Hoon;Hong, Suk-Yoon;Kil, Hyun-Gwon;Huh, Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.125-131
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    • 2003
  • In this paper Power Flow Finite Element Method(PFFEM) has been implemented to analyze the vibration of a plate in mid and high frequency ranges. In order to solve the vibration energy governing equation in Power Flow Analysis(PFA), The Finite Element Method(FEM) was used as a numerical tool. It allowed one to predict the distribution of displacement and Intensity in the plate vibrating at mid and high frequencies. The results were compared with the analytical solutions and the approximate FEM solutions. The comparison showed that PFFEM can be an effective tool to analyze the structural vibration in mid and high frequency ranges.

A Comparative Study on Structural Reliability Analysis Methods (구조 신뢰성 해석방법의 고찰)

  • 양영순;서용석
    • Computational Structural Engineering
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    • v.7 no.1
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    • pp.109-116
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    • 1994
  • In this paper, various reliability analysis methods for calculating a probability of failure are investigated for their accuracy and efficiency. Crude Monte Carlo method is used as a basis for the comparison of various numerical results. For the sampling methods, Importance Sampling method and Directional Simulation method are considered for overcoming a drawback of Crude Monte Carlo method. For the approximate methods, conventional Rackwitz-Fiessler method. 3-parameter Chen-Lind method, and Rosenblatt transformation method are compared on the basis of First order reliability method. As a Second-order reliability method, Curvature-Fitting paraboloid method, Point-fitting paraboloid method, and Log-likelihood function method are explored in order to verify the accuracy of the reliability calculation results. These methods mentioned above would have some difficulty unless the limit state equation is expressed explicitly in terms of random design variables. Thus, there is a need to develop some general reliability methods for the case where an implicit limit state equation is given. For this purpose, Response surface method is used where the limit state equation is approximated by regression analysis of the response surface outcomes resulted from the structural analysis. From the application of these various reliability methods to three examples, it is found that Directional Simulation method and Response Surface method are very efficient and recommendable for the general reliability analysis problem cases.

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Optimum Design Based on Sequential Design of Experiments and Artificial Neural Network for Enhancing Occupant Head Protection in B-Pillar Trim (센터 필라트림의 FMH 충격성능 향상을 위한 순차적 실험계획법과 인공신경망 기반의 최적설계)

  • Lee, Jung Hwan;Suh, Myung Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.11
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    • pp.1397-1405
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    • 2013
  • The optimal rib pattern design of B-pillar trim considering occupant head protection can be determined by two methods. One is the conventional approximate optimization method that uses the statistical design of experiments (DOE) and response surface method (RSM). Generally, approximated optimum results are obtained through the iterative process by trial-and-error. The quality of results strongly depends on the factors and levels assigned by a designer. The other is a methodology derived from previous work by the authors, called the sequential design of experiments (SDOE), to reduce the trial-and-error procedure and to find an appropriate condition for using artificial neural network (ANN) systematically. An appropriate condition is determined from the iterative process based on the analysis of means. With this new technique and ANN, it is possible to find an optimum design accurately and efficiently.

A Study tor 2-Dimensional Analysis Technique for 3-Dimensional Ground Behaviour Due to Tunneling (터널 굴진시의 3차원 지반거동의 2차원적 해석법 고찰)

  • 김교원;이현범
    • The Journal of Engineering Geology
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    • v.6 no.3
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    • pp.111-118
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    • 1996
  • In general, a three dimensional ground behaviour during tunneling is simulated by using two dimensional analysis programs in consideration of a certain ratio of stress or strain distribution to take into account the effect of construction stage by a tunnel face advance. A series of trree dimensional analyses was conducted to deduce a normalized displacement (surface or crown settlement) curve in longitudinal direction, of which curve is reflecting an effect of a tunnel advance under a various condition. And, by using try and error technique, two dimensional analyses were carried out to determine an optimum stress distribution ratio for a settiement curve coincided with the curve obtained by three dimensional analyses. Finally, monitored results from a subway tunnel were compared with two dimensional analysis results for varification of the deduced stress distribution ratio as well as the two dimensional analysis program employed in this study.

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마름모꼴 다이에 의한 사각빌렛 밀폐형단조의 힘평형 해석

  • 최재찬;김병민;김진무;이진희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1991.11a
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    • pp.43-48
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    • 1991
  • 최근 항공기 및 자동차 관련산업 등의 급속한 발전에 따라 정밀도가 높고 결함이 없는 제품을 단기간에 생산하기 위한 금속성형공정의 가공법 및 해석 방법에 대한 연구가 활발하다. 금속성형공정에서의 주된 공학적 관심사는 원하는 형상의 제품을 내부결함없이 생산하기 위한 성형하중과 금속유동의 예측 및 응력분포 등이다. 그러나 해석적인 방법으로 실제 금속성형문제에 대한 완전해를 얻는 것은 매우 어려우므로 실제해에 근접한 근사해를 구한다.(중략)

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