• Title/Summary/Keyword: 수치해석적 방법

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수치해석적 응력 적분 방법

  • 이승래
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.53-54
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    • 1990
  • 응력 변형율의 관계가 시간에 대한 미분의 형태로 나타나는 비선형 탄소성 혹은 점탄소성 재질을 갖는 구조물이나 지만의 거동 문제를 유한요소법 등의 방법을 이용하여 해결하려고 하는 경우 주어진 외력에 의한 새로운 응력이나 응력 강화 현상을 표현하는 여러 재료 상수값들을 구하기 위해서는 적분을 요하게 되며 일반적으로 수치해석적 방법에 의해 수행된다. 이러한 수치해석적 적분방법은 보다 정확한 결과를 얻기 위하여 알고리즘 자체의 정확성과 안정성이 요구된다. 정확성은 수치해석적 적분방법이 적용될 수 있는 step size에 관계없이 거의 동일한 결과치를 얻을 수 있느냐 하는 것을 말하고 안정성은 큰 step size에서도 수렴된 결과치를 얻을 수 있느냐 하는 것을 의미한다. 그 뿐만 아니라 비교적 복잡하고도 그 대상영역이 큰 문제를 해석하고자 할 때는 수렴속도 또한 빠른 해석방법이 바람직하게 된다. 따라서 본 기사에서는 여러가지 가능한 수치해석 적분 방법을 소개하고 그들의 장단점을 논하고자 한다.

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The Analysis of the Bearing Capacity of Layered Clay by Numerical Methods (수치해석적 방법에 의한 층상 점토지반의 극한지지력 해석)

  • 김영민
    • Journal of the Korean Geotechnical Society
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    • v.19 no.1
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    • pp.121-129
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    • 2003
  • Numerical studies on bearing capacity problems of layered clay are performed for smooth and rough strip footings. The finite element method and finite difference method (FLAC) are used for computations of the bearing capacity, entire load-displacement curve and the failure mechanism. The presented results show that it is possible to analyze the bearing capacity of layered clay and to give a progressive failure mechanism clearly. To obtain high quality solutions, it is necessary to review the results on control parameters(e.g., yield function, number of calculation) and compare the results by two numerical methods.

Development of new integrated particle tracking techniques combining the numerical method, semi-analytical method, and analytical method (수치, 해석적, 준 해석적 및 해석적 방법을 통합한 새로운 입자추적기술 개발)

  • Suk, Hee-Jun
    • Journal of Soil and Groundwater Environment
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    • v.13 no.6
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    • pp.50-61
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    • 2008
  • In this study, new integrated particle tracking algorithm was developed to reduce the inherent problem of Eulerian- Lagrangian method, or adverse effect of particle tracking error on mass balance error. The new integrated particle tracking algorithm includes numerical method, semi-analytical method, and analytical method which consider both temporal and spatial changes of velocity field during time step. Detail of mathematical derivations is well illustrated and four examples are made to verify through the comparison of the new integrated particle tracking with analytical solution or Runge-Kutta method. Additionally, It was shown that the there is better superiority of the new integrated particle tracking algorithm over other existing particle tracking method such as Lu's method.

형단조 예비성형체 설계의 CAE

  • 김낙수
    • Journal of the KSME
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    • v.32 no.6
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    • pp.524-535
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    • 1992
  • 형단조 제품의 예비성형체의 결정이 중요하며, 그 형상은 최종 제품의 설계 조건에 따라서 수 치적으로 결정될 수 있음을 알았다. 축대칭이나 평면 변형과 같은 2차원 해석이 필요한 제품의 경우에는 체계적인 방법으로 예비성형체의 모양을 결정할 수 있으며, 그 결과를 이용하여 일련의 단조 공정이 설계된다. 이러한 수치해석적 설계 방법은 단조에서 CNE의 근간이 되어 설계의 자동화에 직접적으로 기여할 수 있을 것이다. 이 분야에서 앞으로의 연구방향은 기존에 확립되어 있는 수치해석적 설계방법을 보편화하여 현장에서 사용하기 쉽도록 패키지화할 것과, 모형실험 또는 실제 공정을 통한 해석결과 및 설계를 검증할 것 등이다. 또한, 일반 3차원 형단조의 공정 해석도 활발하게 이루어져 복잡한 정밀 단조에 대한 설계 자동화도 연구되어야 할 것이다.

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A Study on the Numerical Analysis Variables of Rock Structures Subject to Dynamic Loads (동적 하중을 받는 암반 구조물의 수치해석 변수에 대한 고찰)

  • Ryu, Chang-Ha;Choi, Byung-Hee;Jang, Hyung-Su
    • Explosives and Blasting
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    • v.36 no.3
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    • pp.10-18
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    • 2018
  • The dynamic behaviour of the rock mass under the dynamic load is different from the static application of the maximum load of the same size. An experimental approach to investigating rock behavior under dynamic loads is more difficult than that under static conditions in control of dynamic loads, measurement and analysis of the results. Numerical methods are less constrained by performing the experiments numerically, rather than experimental ones, so they can be very powerful analytical tool at the design stage. However, even if the algorithms of the analysis method are appropriate, careful analysis is required because the calculation results may vary largely depending on input data and boundary conditions. In this paper, when investigating the behavior of rock structures under dynamic load numerically, the effects of boundary conditions, dynamic load and calculation time step, and dynamic load characteristics on the calculation results were reviewed to provide guidance on setting up boundary conditions and calculation time step related to dynamic analysis.

Numerical Behavior Analysis for the Various Multiple Bolted Connections (다양한 다중 볼트 접합부의 거동에 대한 수치해석)

  • Kim, Gwang-Chul
    • Journal of the Korean Wood Science and Technology
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    • v.36 no.3
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    • pp.24-29
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    • 2008
  • Numerical analysis model was used to analyse the behaviors of multiple bolted connections. Axial-bending element was supposed as basic model, and the effects of frame members and steel fasteners were classified for the behavior analysis. In the condition only two bolts were used, the traditional analytical methods, which show somewhat accuracy, have some advantages more than numerical analysis that need many time consuming, However, more many bolts were used in practical field condition. Also, it is impossible to analyse the behaviors of various bolts layouts and arrangements conditions by traditional analytical methods. Therefore, there is only numerical analysis method for the accurate behavioranalysis on the practical bolted connection condition. Therefore, numerical analysis method was applied on the various multiple bolted connections. On the result exactness and the reflection of connection condition, numerical analysis method showed the superiority more than widely used traditional empirical analysis methods as yield model.

Comparison of Modelling Characteristics of Distinct Element Analysis Based on Implicit and Explicit Algorithm (Implicit 및 explicit 알고리즘에 기초한 개별요소 수치해석 방법의 모델 링 특성 비교 연구)

  • 류창하
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2000.09a
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    • pp.163-170
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    • 2000
  • The distinct element method has been effectively applied to the analysis of stability and behavior of jointed rock masses. In this paper the modelling characteristics of different types of distinct element model were investigated. Arch tunnel examples were chosen to compare the calculation results of two computer codes, NURBM and CBLOCK, where the former is based on implicit algorithm, and the other on explicit one. CBLOCK calculations show that joint properties are very important parameters in the stability analysis and that the joint stiffness ratio associated with joint configuration could be used as an indicator, whereas NURBM differ from that. Some other disagreements were also identified.

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Comparison of Modelling Characteristics of Distinct Element Analysis Based on Implicit and Explicit Algorithm (Implicit 및 explicit 알고리즘에 기초한 개별요소 수치해석 방법의 모델링 특성 비교 연구)

  • 류창하
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.410-417
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    • 2000
  • The distinct element method has been effectively applied to the analysis of stability and behavior of jointed rock masses. In this paper the modelling characteristics of different types of distinct element model were investigated. Arch tunnel examples were chosen to compare the calculation results of two computer codes, NURBM and CBLOCK, where the former is based on implicit algorithm, and the other on explicit one. CBLOCK calculations show that joint properties are very important parameters in the stability analysis and that the joint stiffness ratio associated with joint configuration could be used as an indicator, whereas NURBM differ from that. Some other disagreements were also identified.

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Numerical Analysis of NDT Using Elastic Stress Waves in Concrete Lining (터널 라이닝내부에서 전파되는 탄성응력파를 이용한 수치해석적 비파괴검사)

  • 김문겸;이재영
    • Computational Structural Engineering
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    • v.11 no.3
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    • pp.187-198
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    • 1998
  • 지하구조물의 건전성을 평가하기 위한 비파괴시험으로써 탄성응력파를 이용한 충격반향탐사법을 수치해석적인 방법을 통하여 수행하였다. 즉, 일면만으로 접근 가능한 터널 면에서의 충격가진과 동적응답의 측정으로 이질면을 포함한 내부의 상태를 예측할 수 있다. 연구의 수행은 탄성거동을 하는 매질 내부에서 전파되는 탄성응력파의 특성을 이해하고, 이를 동적 유한요소해석으로 모형화하여 충격반향탐사법을 수치해석적으로 수행한다. 이질재료가 2개의 층을 이루고 있는 경우 표면층의 두께를 쉽게 측정할 수 있었으며, 구조물의 병진운동, 휨운동과 구조물 내에서 다중반사되는 탄성응력파에 의한 복합적인 영향을 받는 터널과 같은 원통형 구조물에서 동적응답의 주파수 특성으로부터 터널라이닝 내부에 형성된 공동의 위치와 크기의 예측이 가능하였다. 수치해석적인 방법과 병행하여 다양한 형태의 경계조건을 가지는 구조물에 대한 충격반향탐사법의 실험을 수행할 경우 실제적인 문제에 적용, 건전성 평가의 지표를 마련할 수 있을 것으로 사료된다.

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Integrated Analytical-Numerical Approach to Compute the Energy on Rock-fall Protection Fence (해석적-수치해석적 방법을 통한 낙석방지울타리에 작용하는 에너지 분석)

  • Kim, Hee Su;Hwang, Youngcheol;Jang, Hyun-Ick;Ban, Hoki
    • Journal of the Korean GEO-environmental Society
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    • v.20 no.12
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    • pp.57-64
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    • 2019
  • A man-made slope has been increased due to the construction of road. This slope lies at risk of rock falling, induced mostly by heavy rainfall. The MOLIT (Ministry of Land, Infrastructure and Transport) recommends the specific dimension of rockfall protection fence (post, wire-rope, and mesh) which should resist 48~61 kJ. However, the energy absorption capacity of each component of rockfall protection fence is not clearly presented. Hence, this study made an effort to compute the energy absorption capacity of each component in analytical and numerical method, and compared with each other.