• Title/Summary/Keyword: 동적 수치해석

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Determination of the Natural Frequencies and Mode Shapes of Large Structures by Accelerated Newton-Raphson Method (Accelerated Newton-Raphson 방법에 의한 대형구조물의 자유진동수와 모우드형의 결정)

  • Kim, Man Cheol;Lee, In Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1105-1113
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    • 1994
  • For the design of various structures, the dynamic analysis of the structures is essential. Eigenproblem must be first computed when the mode superposition method is used in the dynamic analysis of the structures. However, since most of solution time is spent on calculating the eigenpairs of the system, the development of more efficient solution method is required. The purpose of this paper is to present the efficient solution method that combines the Robinson-Lee's method and accelerated Newton-Raphson method to improve numerical stability and increase convergence. Effectiveness of the proposed method is verified through numerical examples.

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Dynamic Stiffness of the Scaled Boundary Finite Element Method for Non-Homogeneous Elastic Space (비동질 탄성 무한공간에 대한 비례경계유한요소법의 동적강도행렬)

  • Lee, Gye-Hee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.2
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    • pp.165-173
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    • 2010
  • In this paper, the dynamic stiffness of scaled boundary finite element method(SBFEM) was analytically derived to represent the non-homogeneous space. The non-homogeneous parameters were introduced as an expotential value of power function which denoted the non-homogeneous properties of analysis domain. The dynamic stiffness of analysis domain was asymptotically expanded in frequency domain, and the coefficients of polynomial series were determined to satify the radiational condition. To verify the derived dynamic stiffness of domain, the numerical analysis of the typical problems which have the analytical solution were performed as various non-homogeneous parameters. As results, the derived dynamic stiffness adequatlly represent the features of the non-homogeneous space.

A Study on the Characteristics of Mammoth Vibro Tamper by Numerical Analysis (대형진동햄머다짐의 수치해석적 연구)

  • 박양수;박인준;김수일
    • Journal of the Korean Geotechnical Society
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    • v.16 no.5
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    • pp.45-54
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    • 2000
  • 경험적으로 방법에 의존해온 대형 진동햄머다짐의 영향심도를 평가하고자 수치해석적인 기법을 사용하였다. 수치해석적인 기법을 사용하였다. 수치해석에 사용한 프로그램은 범용 유한요소 해석프로그램인 ABAQUS이며, 인천 신공항 매립지에서 시험 시공한 대형 진동햄머다짐의 자료와 수치해석한 결과의 비교를 통해 검증하였다. 수치해성에 사용한 물성은 현장시험과 실내시험을통해 구하였으며 영향깊이는 지반이 동적 하중에 변형할 때 소산하는 소성변형율에너지량의 분포를 판정하였다. 수치해석결과 소성변형율에너지 소산량의 시간에 따른 변화로부터 다짐의 영향깊이 및 수평영향거리를 추정할 수 있었다. 소성변형율에너지 수렴시의 외부에너지를 Menard의 경험식에 적용할 경우 영향깊이를 판정할 수 있음을 알았다. 따라서 Menardtlr으로부터 영향깊이를 다짐하는데 필요한 최소한의 에너지를 구할수 있을 것으로 판단된다.

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충격 및 폭발하중에 의한 동적파괴 해석기법

  • 김경수
    • Computational Structural Engineering
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    • v.10 no.3
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    • pp.22-29
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    • 1997
  • 본 논문에서는 균열이 존재하는 구조부재에 충격이나 폭발하중이 가해진 경우 동적응력확대계수를 구하는 방법들은 논의하고 특히 코오스틱 실험법 및 수치적으로 코오스틱 곡선을 구하여 동적응력확대계수를 구하는 과정을 자세히 설명하였다. 폭발 및 충격에 의한 구조물의 파괴해석은 이와 같은 하중을 받는 압력용기, 빌딩, 초고속선, 해군 함정 등의 파괴강도설계 및 안전성 평가에 핵심기술로 대두되고 있으며 또한 우주항공산업, 고속전철, 암반역학 등의 여러 분야에서 중요한 의미를 갖는다. 따라서 앞으로도 균열진전 및 정지조건, 탄소성 동적파괴해석 및 재료의 충격거동 등에 대한 연구들이 계속되어져야 할 것으로 사료된다.

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Dynamics Responses of Railway Bridges for Track Irregularities (궤도의 불규칙성을 고려한 철도교량의 동적응답분석)

  • 박흥석;이용선;이상호;김상효
    • Computational Structural Engineering
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    • v.11 no.3
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    • pp.253-262
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    • 1998
  • 본 연구에서는 경부고속철도의 주요 교량형식인 PSC 박스교량을 3차원 뼈대요소를 사용하여 모형화하였으며, 궤도불규칙성의 형상은 지수 스펙트럴 밀도함수를 사용하여 생성시켰다. 경부고속철도차량(K-TGV)중 동력차는 17자유도의 3차원 주행열차로 모형화하였고, 이러한 교량, 궤도불규칙성 및 차량 모형을 이용하여 교량과 차량의 상호작용을 해석할 수 있는 프로그램을 개발하였다. 동적해석을 위한 교량과 차량의 운동방정식은 Lagrange 방정식을 사용하여 유도하였으며, 운동방정식의 수치해석에는 Newmark-β법을 사용하였다. 개발된 프로그램을 이용하여 동력차의 주행에 의한 교량의 시간이력곡선을 구하였으며, 궤도불규칙성의 영향을 분석하였다. 또한 도상의 유무에 따른 교량동적거동의 특성과 함께 열하중의 편심의 영향도 분석하였다.

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Numerical Simulation of Surface Tension-Dominant Multiphase Flows by Using Volume-Capturing Method and Unstructured Grid System (비정렬격자계와 체적포착법을 사용한 표면장력이 지배적인 다상유동 수치해석)

  • Myong, Hyon-Kook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.7
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    • pp.723-733
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    • 2011
  • A numerical method of the CSF(Continuum Surface Force) model is presented for the calculation of the surface tension force and implemented in an in-house solution code(PowerCFD). The present method(code) employs an unstructured cell-centered method based on a conservative pressure-based finite-volume method with volume capturing method(CICSAM) in a volume of fluid(VOF) scheme for phase interface capturing. The application of the present method to a 2-D liquid drop problem is illustrated by an equilibrium and nonequilibrium oscillating drop calculation. It is found that the present method simulates efficiently and accurately surface tension-dominant multiphase flows.

Free Field Response Analysis Using Dynamic Fundamental Solution (다층반무한 기본해를 이용한 자유장응답해석)

  • 김문겸;임윤묵;김민규;이종우
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.2
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    • pp.83-91
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    • 2001
  • 본 연구에서는 2차원 평면상에서 자유장응답 해석을 위하여 유한요소-경계요소 조합에 의한 수치해석기법을 개발하였다. 전체 계를 외부영역과 내부영역으로 구분하였다. 외부영역은 동적 다층반무한 기본해를 이용한 경계요소로 모형화되고 내부영역은 유한요소로 모형화하여 조합하였다. 다층지반의 외부에서 입사하는 지진에 의한 지진응답해석을 수행하기 위하여 동적기본해를 이용한 자유장응답해석을 수행하였다. 지진응답해석에서는 지반의 전단병형률에 따라 변화하는 비선형특성을 모형화하기 위해 등가선형화기법을 적용하였다. 지진응답해석의 검증에 의하여 해석결과를 상용프로그램의 결과와 비교하였다. 결과적으로 지진응답해석을 효과적으로 수행할 수 있는 수치해석기법을 개발하였고 구조물이 있는 경우로의 확장돠 가능하게 되었다.

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Evaluation of Dynamic p-y Curve Based on the Numerical Analysis (수치해석기반의 동적 p-y 곡선 산정)

  • Park, Jeong-Sik;Jeong, Sang-Seom
    • Journal of the Korean Geotechnical Society
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    • v.33 no.12
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    • pp.59-73
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    • 2017
  • Numerical analysis using 3D finite element program (PLAXIS 3D) evaluated the interaction of soil - pile structure under dynamic surface loading. The dynamic p-y curve of the 1-g shaking table experiment by numerical analysis was calculated, and the parametric studies were presented by considering the pile-soil condition, the pile tip condition, and the loading condition. The frequency of 1.4 Hz is almost equal to the natural frequency of the pile - soil system. The p and y values of resonance phenomenon are significantly different from the results of other frequencies. The results can be summarized by a third order polynomial function representing the trend line in the p-y curve. In the case of a single pile, the shape of the dominant curve was found to be an ellipse by mathematical proof. The elliptic equation can be used for the dynamic design or analysis of soil-pile system.

Direct Numerical Simulation of Composite laminates Under low velocity Impact (저속충격을 받는 적층복합재료 평판의 직접 수치모사)

  • Ji, Kuk-Hyun;Kim, Seung-Jo
    • Composites Research
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    • v.19 no.1
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    • pp.1-8
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    • 2006
  • Prediction of damage caused by low-velocity impact in laminated composite plate is an important problem faced by designers using composites. Not only the inplane stresses but also the interlaminar normal and shear stresses playa role in estimating the damage caused. But it is well known that the conventional approach based on the homogenization has the limit in description of damage. The work reported here is an effort in getting better predictions of dynamic behavior and damage in composite plate using DNS approach. In the DNS model, we discretize the composite plates through separate modeling of fiber and matrix for the local microscopic analysis. In the view of microscopic mechanics with DNS model, interlaminar stress behaviors in the inside of composite materials are investigated and compared with the results of the homogenized model which has been used in the conventional approach to impact analysis. Also the multiscale model based on DNS concept is developed in order to enhance the effectiveness of impact analysis, and we present the results of multiscale analysis considering micro and macro structures simultaneously.

Numerical Model Updating Based on Univariate Search Method for High Speed Railway Bridges (단변분 탐색법에 기초한 고속철도교량의 수치해석 모델 개선)

  • Park, Dong-Uk;Kim, Nam-Sik;Kim, Sung-Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.1
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    • pp.17-27
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    • 2014
  • Numerical model became one of most important tools for identifying the state of an existing structure in accordance with development of numerical analysis techniques. A numerical model should be updated based on the measured responses from the existing structure to accurately use the model for identifying the state of the bridge and executing numerical experiments. In this study, a new model updating method based on repetition method without a differential function is introduced and applicability for high speed railway bridge is verified with dynamic stability analysis. A fine measurement based on measurement points roaming method was executed with an wireless measurement system for precise dynamic characteristic analysis. The natural frequencies and mode shapes were estimated by correlation analysis and a mode decomposition technique. An initial numerical model was constructed based on design drawings and the model have been updated in accordance with the introduced model updating method. The results from numerical experiment and field test have been compared for verifying the applicability of the model updating method. And the dynamic stability analysis has been executed to verify the usability of the updated numerical model and the model updating method. It seems that the model updating method can be used for various bridges after evaluation of applicability for other type bridges in further studies.