• Title/Summary/Keyword: 묘사함수

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Analysis on Anisotropy of Void Distribution and Stiffness of Lightweight Aggregate using CT Images (CT 이미지를 활용한 경량 골재의 방향에 따른 공극 분포 및 강성도의 이방성 분석)

  • Chung, Sang-Yeop;Han, Tong-Seok;Yun, Tae Sup;Youm, Kwang Soo;Jeon, Hyun-Gyu;Kang, Dong Hun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.3
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    • pp.227-235
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    • 2012
  • The void distribution in concrete materials strongly affects its material properties. Therefore, the identification of spatial distribution of void is important to understand and estimate material behavior. To examine and quantify the void distribution inside lightweight aggregates, CT(computed tomography) image is used. 3D lightweight aggregate images are generated by stacking of cross-sectional images from CT. Spatial distribution of void of aggregate along the direction is visualized on the sphere using probability distribution function. Stiffness of lightweight aggregate for the directions is also examined. It is confirmed that direction-based probability distribution and stiffness from CT images are effective in characterizing void distributions of aggregates.

Heat Transfer Analysis of Bi-Material Problem with Interfacial Boundary Using Moving Least Squares Finite Difference Method (이동최소제곱 유한차분법을 이용한 계면경계를 갖는 이종재료의 열전달문제 해석)

  • Yoon, Young-Cheol;Kim, Do-Wan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.779-787
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    • 2007
  • This paper presents a highly efficient moving least squares finite difference method (MLS FDM) for a heat transfer problem of bi-material with interfacial boundary. The MLS FDM directly discretizes governing differential equations based on a node set without a grid structure. In the method, difference equations are constructed by the Taylor polynomial expanded by moving least squares method. The wedge function is designed on the concept of hyperplane function and is embedded in the derivative approximation formula on the moving least squares sense. Thus interfacial singular behavior like normal derivative jump is naturally modeled and the merit of MLS FDM in fast derivative computation is assured. Numerical experiments for heat transfer problem of bi-material with different heat conductivities show that the developed method achieves high efficiency as well as good accuracy in interface problems.

Analysis of Mechanical Response of Two-phase Polycrystalline Microstructures with Distinctive Topology of Phase Clustering (2상 다결정 미세구조의 상 분포 위상에 따른 역학적 거동 분석)

  • Chung, Sang-Yeop;Han, Tong-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.1
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    • pp.9-16
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    • 2011
  • An approach to understand the phase distribution in a multi-phase polycrystalline material is important since it can affect material properties and mechanical behaviors. A proper method is needed to describe the phase distribution. For this purpose, contiguity and probability functions(two-point correlation and lineal-path functions) are investigated for representing the phase distributions of microstructures. The mechanical behaviors are evaluated using the finite element method. The characteristics of probability functions and mechanical reponses of virtual samples are represented. It is confirmed that the topology of phase clustering affects the mechanical behavior of materials and that the strength is reduced as the clustering size increases.

Shape Optimization of Truss Structures with Multiobjective Function by α -Cut Approach (α -절단법에 의한 다목적함수를 갖는 트러스 구조물의 형상최적화)

  • Yang, Chang Yong;Lee, Gyu Won
    • Journal of Korean Society of Steel Construction
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    • v.9 no.3 s.32
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    • pp.457-465
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    • 1997
  • The Shape optimization makes it possible to reduce the weight of structure and cost then member sizing optimization. A vast amount of imprecise information is existed in constraints of the optimum design. It is very difficult and sometimes confusing to describe and to deal with the several criteria which contain fuzzy degrees of relatives importance. This paper proposed weighting strategies in the multiobjective shape optimization of fuzzy structural system by ${\alpha}$-cut approach. The algorithm in this research is numerically tested for 2-bar truss structure. The result show that. the user can choose the one optimum solution in practices as obtaining the optimum solutions according to the ${\alpha}$-cut approach, weight of volume and displacement.

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Analysis of Moving Boundary Problem Using Extended Moving Least Squares Finite Difference Method (확장된 이동최소제곱 유한차분법을 이용한 이동경계문제의 해석)

  • Yoon, Young-Cheol;Kim, Do-Wan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.4
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    • pp.315-322
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    • 2009
  • This paper presents a novel numerical method based on the extended moving least squares finite difference method(MLS FDM) for solving 1-D Stefan problem. The MLS FDM is employed for easy numerical modelling of the moving boundary and Taylor polynomial is extended using wedge function for accurate capturing of interfacial singularity. Difference equations for the governing equations are constructed by implicit method which makes the numerical method stable. Numerical experiments prove that the extended MLS FDM show high accuracy and efficiency in solving semi-infinite melting, cylindrical solidification problems with moving interfacial boundary.

L-system Tree with Particle Attributes (파티클 속성을 사용한 L-시스템 트리)

  • Jou, Wou-Seok;Park, Hyun-Min;Bahng, Soon-Jung
    • The KIPS Transactions:PartA
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    • v.9A no.4
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    • pp.589-594
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    • 2002
  • In computer graphics, L-system is primarily used for the production of such natural shapes as flowers, trees, and grass. It is possible by iteratively applying the theory of multiple-reduction-copy-machine to an arbitrary initial shape. The purpose of this paper is to modify the shape of ordinary L-system trees so that more realistic trees can be generated. Instead of applying simple iterative function system of the L-system, we regard each branch of the trees as a living thing, and endow them with corresponding attributes. Such branch attributes as lifetime, growth speed, shape variation, attraction by environment are known to belong to the attributes of the particle system. We presented modeling methods as hypotheses for each of the attributes based on parameters, iud shown the resulting diverse tree shapes.

Development of A Network loading model for Dynamic traffic Assignment (동적 통행배정모형을 위한 교통류 부하모형의 개발)

  • 임강원
    • Journal of Korean Society of Transportation
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    • v.20 no.3
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    • pp.149-158
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    • 2002
  • For the purpose of preciously describing real time traffic pattern in urban road network, dynamic network loading(DNL) models able to simulate traffic behavior are required. A number of different methods are available, including macroscopic, microscopic dynamic network models, as well as analytical model. Equivalency minimization problem and Variation inequality problem are the analytical models, which include explicit mathematical travel cost function for describing traffic behaviors on the network. While microscopic simulation models move vehicles according to behavioral car-following and cell-transmission. However, DNL models embedding such travel time function have some limitations ; analytical model has lacking of describing traffic characteristics such as relations between flow and speed, between speed and density Microscopic simulation models are the most detailed and realistic, but they are difficult to calibrate and may not be the most practical tools for large-scale networks. To cope with such problems, this paper develops a new DNL model appropriate for dynamic traffic assignment(DTA), The model is combined with vertical queue model representing vehicles as vertical queues at the end of links. In order to compare and to assess the model, we use a contrived example network. From the numerical results, we found that the DNL model presented in the paper were able to describe traffic characteristics with reasonable amount of computing time. The model also showed good relationship between travel time and traffic flow and expressed the feature of backward turn at near capacity.

Reconstruction and Response Analysis of Multi-phase Polycrystalline Microstructures (다상 다결정 미세구조의 재구성 기법과 거동 분석)

  • Chung, Sang-Yeop;Han, Tong-Seok
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.26-29
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    • 2009
  • 매크로 스케일(macro-scale)에서 구조재료의 거동을 보다 자세히 이해하기 위해서는 구조재료를 구성하고 있는 마이크로 스케일(micro-scale)에서의 미세구조에 대한 이해가 필요하다. 특히 다결정을 가진 다상재료는 상(phase) 분포 상태에 의해 그 특성이 다르기 때문에, 상 분포에 따른 재료의 특성을 이해하는 것이 중요하다. 본 연구에서는 미세구조의 상 분포 특성을 묘사할 수 있는 상관관계 함수를 이용하여 미세구조의 상 분포 상태를 나타내고, 이를 활용한 미세구조 재구성 방법을 사용하여 2상 미세구조에서 특정 미세구조와 유사한 상 분포를 가진 미세구조를 생성하고 그 특성을 비교하였다. 그리고 다양한 상 분포를 가진 미세구조들에 유한요소해석 기법을 적용하여 미세구조의 역학적인 거동을 분석하였다. 이를 통해, 제한된 정보를 이용하여 통계학적으로 유사한 특성을 나타내는 미세구조를 모델링 할 수 있음을 검증하였고, 이러한 미세구조들 간의 역학적 거동은 서로 거의 동일함을 확인하여 미세구조 재구성 기법이 재료의 역학적인 거동을 예측하는데 유용하게 사용될 수 있음을 확인하였다.

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A Study on the Development of Multi-scale Bridging Method Considering the Particle Size and Concentration Effect of Nanocomposites (나노입자의 크기효과와 체적분율 효과를 동시 고려한 나노복합재의 멀티스케일 브리징 해석기법에 관한 연구)

  • Yang, Seung-Hwa;Yu, Su-Young;Cho, Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.243-246
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    • 2009
  • 본 연구에서는 분자동역학 전산모사와 미시역학 모델을 이용하여 나노입자의 크기와 체적분율 변화가 나노복합재의 물성변화에 미치는 영향을 효과적으로 묘사할 수 있는 순차적 브리징 해석기법을 개발하였다. 나노 입자의 크기변화와 체적분율 변화에 따른 영률과 전단계수를 분자동역학 전산모사를 통해 예측한 후, 이를 연속체 모델에서 구현하기 위해 다중입자 모델을 적용하였다. 나노입자의 크기효과를 반영하기 위해 입자와 기지 사이에 유효계면을 추가적인 상으로 도입하였고, 체적분율 효과는 나노복합재를 둘러싸는 무한영역의 물성값을 통해 조절되도록 하였다. 유효계면과 무한영역의 물성을 입자의 반경과 체적분율의 함수로 근사한 후, 다양한 입자의 크기와 체적분율에서 나타나는 나노복합재의 물성변화를 예측하였다. 제안된 해석기법의 적용을 통해 분자동역학 전산모사 결과와 잘 일치하는 예측해를 효과적으로 얻을 수 있었다.

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Surface Saturation Area-Subsurface Outflow-Soil Moisture Storage Relationships: I. Steady-State Analysis (지표포화지역-중간류유출-흙수분저류량 관계: I. 정상류 분석)

  • 이도훈;이은태
    • Water for future
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    • v.28 no.5
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    • pp.129-140
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    • 1995
  • In this study we derived steady-state relationships between surface saturation area and subsurface outflow, and between surface saturation area and soil moisture storage through numerical experiments with Richards equation on a hillslope. Numerical experiments analyzed the sensitivity of topographic and soil hydraulic properties on steady-state relationships between surface saturation area and subsurface outflow. And the power law for the extent of surface saturation area was determined as a function of subsurface outflow or soil moisture storage.

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