• Title/Summary/Keyword: 비선형적 해석기법

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대공간 구조물의 비선형 해석기법

  • 김승덕
    • Computational Structural Engineering
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    • v.10 no.1
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    • pp.7-18
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    • 1997
  • 본 고에서는 컴퓨터를 이용하여 비선형문제를 어떻게 다룰 것인가에 관해 기초 지식에서부터 응용까지를 간단히 설명한다. 먼저 기하학적 비선형 문제를 중심으로, 기존의 비선형 해석기법에 관해 기초적인 기법부터 고난도의 기법까지 일반적으로 많이 사용되는 것을 자세히 소개한다. 또 대공간 구조물의 비선형 해석기법에 관한 이해를 돕기 위해 비교적 간단한 부재인 케이블/트러스 요소를 이용한 몇몇 예제와 비선형해석으로 인한 구조물 거동의 특성도 다룬다.

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Local Nonlinear Static Analysis via Static Condensation (강성응축기법을 이용한 국부 비선형 정적 해석)

  • Shin, Han-Seop;Oh, Min-Han;Boo, Seung-Hwan
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.1
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    • pp.193-200
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    • 2021
  • In this study, an analysis technique using static condensation is proposed for an efficient local nonlinear static analysis. The static condensation method is a model reduction method based on the degrees of freedom, and the analysis model is divided into a target part and a condensed part to be omitted. In this study, the nonlinear and linear parts were designated to the target and the omitted parts, respectively, and both the stiffness matrix and load vector corresponding to the linear part were condensed into the nonlinear part. After model condensation, the reduced model comprising the stiffness matrix and the load vector for the nonlinear part is constructed, and only this reduced model was updated through the Newton-Raphson iteration for an efficient nonlinear analysis. Finally, the efficiency and reliability of the proposed analysis technique were presented by applying it to various numerical examples.

A Study on Optimal Measurement Parameter Selection of Turboprop Engine using Nonlinear GPA Technique (비선형 GPA 기법을 이용한 터보프롭 엔진의 최적 계측 변수 선정에 관한 연구)

  • 기자영;공창덕;임강택
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2001.04a
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    • pp.49-53
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    • 2001
  • 터보프롭 엔진의 성능진단을 위한 선형 GPA(Gas Path Analysis) 및 비선형 GPA 프로그램을 개발하고 최적 계측 변수 선정을 위한 해석을 수행하였다. 압축기 오염과 압축기 터빈 및 동력터빈의 부식에 의한 손상을 가정하고 계측변수를 6개, 8개, 10개로 달리하여 각각 선형 GPA 기법과 비선형 GPA 기법을 이용하여 해석을 수행한 후 RMS 오차를 비교하였다. 해석 결과 비선형 GPA 기법을 이용한 경우의 RMS 오차가 선형 GPA 기법을 이용한 경우보다 적어 비선형 GPA 기법의 유용성을 확인할 수 있었다. 또한 적절한 계측변수의 선정을 통해 보다 적은 계측 장비로 더 신뢰성 있는 결과를 얻을 수 있음을 확인하였다.

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A Study on Nonlinear GPA for Optimal Measurement Parameter Selection of Turboprop Engine (터보프롭 엔진의 최적 계측 변수 선정을 위한 비선형 GPA 기법에 관한 연구)

  • 공창덕;기자영
    • Journal of the Korean Society of Propulsion Engineers
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    • v.5 no.1
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    • pp.69-75
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    • 2001
  • Linear GPA(Gas Path Analysis) and non-linear GPA programs for performance diagnostics of a turboprop engine were developed, and a study for selection of optimal measurement variables was performed. Simultaneous faults in the compressor, the compressor turbine and the power turbine, which occur damage of the engine, were assumed. The non-linear GPA analysis was carried out with an iterative method, where the performance degradation rate of independent parameters was divided into same intervals. It was compared with the result by the Newton-Raphson method for observing the effect of an iterative method. According to the analysis result, it was found that performance of non-linear GPA can be influenced on the type of the iterative method. For showing effects of the number of measurement variables both the linear and non-linear GPAs were analyzed with 10, 8 and 6 measurement sets, respectively. RMS error between them were compared each other. It was realized that the more measurement parameters are used, and the more accurate result may be obtained. However much better result can be obtained with measurement parameters selected properly Moreover, RMS error by using non-linear GPA was less than that by using linear GPA.

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A Study on the Insulation Diagnosis by Nonlinear Analysis of the Insulation Breakdown Mechanism (절연파괴 메카니즘의 비 선형 분석에 의한 절연진단에 관한 연구)

  • Lim, Yun-Seog;Jang, Jin-Kang;Kim, Sung-Hong;Park, Jae-Jun;Kim, Jae-Hwan
    • Proceedings of the KIEE Conference
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    • 1999.07e
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    • pp.2262-2264
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    • 1999
  • 절연체 내부의 보이드로 인하여 부분방전이 발생하면 국부 파괴와 완전절연파괴의 원인이 된다. 부분방전으로 생기는 트리잉은 절연재료를 열화시키며 부분방전 메카니즘 연구의 한 축을 이룬다. 이에 절연 파괴를 미연에 예측하고 감시하는 기술의 개발은 매우 중요하다. 이러한 관점에서, 부분방전의 메카니즘을 본래의 관점에서 비 선형적으로 해석할 수 있는 기법의 도입은 중요한 의미를 갖는다. 절연체의 부분방전을 시간 전개에 따라 해석함으로써 이후 실시간 감시 시스템 구축에 기초가 될 것이며 지금까지 수없이 시도 되어온 통계적인 방법과의 비교분석 및 데이터 베이스화에 따른 더욱 객관적이고 정확한 감지 결과가 기대된다. 부분방전 신호는 음향센서를 거쳐 개인용 컴퓨터에서 비선형적 해석기법과 통계적인 $\Phi$-q 기법을 적용하여 해석하였으며, 이 해석 결과는 다양한 해석 기준을 제공해 줄 것으로 기대된다.

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Nonlinear Analysis of 3-D Steel Frames (3차원 강뼈대구조의 비선형 해석)

  • Kim, Seung Eock;Kim, Yo Suk;Choi, Se Hyu;Kim, Sung Mo;Choi, Joon Ho
    • Journal of Korean Society of Steel Construction
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    • v.11 no.4 s.41
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    • pp.417-424
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    • 1999
  • In this paper a nonlinear analysis of three-dimensional steel frames is developed. This analysis accounts for material and geometric nonlinearities. The material nonlinearity includes gradual yielding associated with flexural behaviors. The geometric nonlinearity includes the second-order effects associated with $P-{\delta}\;and\;P-{\Delta}$ effects. The material nonlinearity at the node is considered using the concept of P-M hinge consisting of many fibers. The geometric nonlinearity is considered by the use of stability function. The nonlinearity caused by shear and torsional interaction effects is neglected. The modified incremental displacement method is used as the solution technique. The load-displacements predicted by the proposed analysis compare well with those given by other approaches.

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Nonlinear Analysis for the Prediction of Lateral Behavior of Single Piles in Non-homogeneous Sandy Soil (비균질 사질토 지반에서 단일말뚝의 수평거동 예측을 위한 비선형 해석기법)

  • 김영수;김병탁;허노영
    • Journal of the Korean Geotechnical Society
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    • v.16 no.4
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    • pp.5-16
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    • 2000
  • THe purpose of this paper is to suggest the analytical method which can predict lateral nonlinear behavior in non-homogeneous soil using the coefficient of soil resistance and ultimate soil resistance. Those parameters are obtained through back analysis on the base of the results of a series of model tests.Analytical method of Chang is more or less difficult to predict nonlinear behavior in non-homogeneous sol. So, in this study, for the prediction of nonlinear behavior the compositive analytical method which apply the p - y curve to Chang model is suggested. Also, the program is developed to predict nonlinear behavior using the compositive analytical method and it can be used to calculated the deflection, bending moment and soil reaction with DFM in non-homogeneous soil. To establish applicability of the suggested analytical method, the results of model tests and field tests and Pentagon2D finite element program are compared with those of the compositive analytical method. In the analysis values of the coefficient of soil reaction and ultimate soil resistance are also applied to the case of non-homogeneous soil. Lateral defection calculated using the compositive analytical method has been found to be in good agreement with values measured in field and model load tests.

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An efficient method for fluid/structure interaction analysis considering nonlinear structural behavior (비선형 구조 해석과 공력 해석의 효율적인 연계 알고리즘에 대한 연구)

  • Kim, Euiyoung;Chang, Seongmin;Lee, Dongho;Cho, Maenghyo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.11
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    • pp.957-962
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    • 2012
  • Fluid/structure interaction (FSI) analysis is necessary to predict the response of a system in which aerodynamic pressure causes deformation of the structure, and vice versa. In dealing with a nonlinear behavior of the structure, however, a simple iterative algorithm of aerodynamic analysis with structural analysis yields no accurate results since aerodynamic pressure need to be changed in accordance with the deformation of structures. In this study, we explore an efficient and accurate method for integrating FSI analysis into structural nonlinear systems. During the course of nonlinear structural analysis, loading conditions are periodically updated by aerodynamic analysis. The accuracy and efficiency of the method is demonstrated with a high-aspect-ratio flexible wing of Global Hawk.

A Predicted Newton-Raphson Iterative Method utilizing Neural Network (신경회로망을 이용한 예측 뉴턴-랩손 반복계산기법)

  • Kim, Jong-Hoon;Kim, Yong-Hyup
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.339-344
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    • 2000
  • Newton-Raphson 기법은 구조물의 비선형 해석에 널리 쓰이는 반복계산기법이다. 비선형 해석을 위한 반복계산기법은 컴퓨터의 발달을 감안해도 상당한 계산시간이 소요된다. 본 논문에서는 신경회로망 예측을 사용한 Predicted Newton-Raphson 반복계산기법을 제안하였다. 통상적인 Newton-Raphson 기법은 이전스텝에서 수렴된 점으로부터 현재 스텝의 반복계산을 시작하는 반면 제시된 방법은 현재 스텝 수렴해에 대한 예측점에서 반복계산을 시작한다. 수렴해에 대한 예측은 신경회로망을 사용하여 이전 스텝 수렴해의 과거경향을 파악한 후 구한다. 반복계산 시작점이 수렴점에 보다 근접하여 위치하므로 수렴속도가 빨라지게 되고 허용되는 하중스텝의 크기가 커지게 된다. 또한 반복계산의 시작점으로부터 이루어지는 계산과정은 통상적인 Newton-Raphson 기법과 동일하므로 기존의 Newton-Raphson 기법과 정확히 일치하는 수렴해를 구할 수 있다. 구조물의 정적 비선형 거동에 대한 수치해석을 통하여 modified Newton-Raphson 기법과 제시된 Predicted Newton=Raphson 기법의 정확성과 효율성을 비교하였다. 제시된 Predicted Newton-Raphson 기법은 modified Newton-Raphson 기법과 동일한 해를 산출하면서도 계산상의 효율성이 매우 큼을 확인할 수 있었다.

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Development of Nonlinear Analysis Technic to Determine the Ultimate Load in Electric Transmission Tower (송전철탑의 극한하중 도출을 위한 비선형해석 기법)

  • Kim, Woo Bum;Choi, Byong Jeong;Ahn, Jin Kyu
    • Journal of Korean Society of Steel Construction
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    • v.20 no.3
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    • pp.389-398
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    • 2008
  • The current design practice of electric transmission tower is based on the allowable stress design. However, it is difficult to find the cause behind a transmission tower's collapse by the above design approach as the collapse is caused by large secondary deformations based on and geometrical nonlinear behavior.influence factor for the nonlinear behavior is mainly residual stress, initial imperfection and end restraints on members. In this study, the necessity of the nonlinear analysis is examined through the comparison between elastic ana the nonlinear analysis, a new analytical method (equivalent nonlinear analysis technique) is proposed. To confirm the reliability of the proposed method, the computed ultimate load of the transmission tower using the method was compared with that of the nonlinear finite element analysis. Effects of parameters, such as compressive force and the slenderness ratio of the brace member on the main post member, were investigated. The effective member length according to influential parameters was formulated in table form for practical purposes.