• 한국CDE학회논문집
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• 제10권5호
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• pp.303-313
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• 2005

This paper proposes a generalized NURBS model, called Volumetric NURBS or VNURBS for representing volumetric objects with multiple attributes embedded in multidimensional space. This model provides a mathematical framework for modeling complex structure of heterogeneous objects and analyzing inside of objects to discover features that are directly inaccessible, for deeper understanding of complex field configurations. The defining procedure of VNURBS, which explains two directional extensions of NURBS, shows VNURBS is a generalized volume function not depending on the domain and its range dimensionality. And the recursive a1gorithm for VNURBS derivatives is described as a computational basis for efficient and robust volume modeling. In addition, the specialized versions of VNURBS demonstrate that VNURBS is applicable to various applications such as geometric modeling, volume rendering, and physical field modeling.

• 한국CDE학회논문집
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• 제10권5호
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• pp.314-327
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• 2005

This paper describes the volumetric data modeling and analysis methods that employ volumetric NURBS or VNURBS that represents heterogeneous objects or fields in multidimensional space. For volumetric data modeling, we formulate the construction algorithms involving the scattered data approximation and the curvilinear grid data interpolation. And then the computational algorithms are presented for the geometric and mathematical analysis of the volume data set with the VNURBS model. Finally, we apply the modeling and analysis methods to various field applications including grid generation, flow visualization, implicit surface modeling, and image morphing. Those application examples verify the usefulness and extensibility of our VNUBRS representation in the context of volume modeling and analysis.

• 한국CDE학회논문집
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• 제11권4호
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• pp.235-245
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• 2006

This paper proposes a CSG-based representation scheme for heterogeneous objects including multi-material objects and Functionally Graded Materials (FGMs). In particular, this scheme focuses on the construction of complicated heterogeneous objects guaranteeing desired material continuities at all the interfaces. In order to create various types of heterogeneous primitives, we first describe methods for specifying material composition functions such as geometry-independent, geometry-dependent functions. Constructive Material Composition (CMC) and corresponding heterogeneous Boolean Operators (e.g. material union, difference, intersection. and partition) are then proposed to illustrate how material continuities are dealt with. Finally, we describe the model hierarchy and data structure for computer representation. Even though the proposed scheme alone is sufficient for modeling all sorts of heterogeneous objects, the proposed scheme adopts a hybrid representation between CSG and decomposition. That is because hybrid representation can avoid the unnecessary growth of binary trees.

• 한국CDE학회논문집
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• 제12권3호
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• pp.220-232
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• 2007

Current geometric modeling and analysis are commonly based on B-Rep modeling and a finite elements method respectively. Furthermore, it is difficult to represent an object whose material property is heterogeneous using the B-Rep method because the B-Rep is basically used for homogeneous models. In addition, meshes are required to analyze a property of a model when the finite elements method is applied. However, the process of generating meshes from B-Rep is cumbersome and sometimes difficult especially when the model is deformed as time goes by because the topology of deforming meshes are changed. To overcome those problems in modeling and analysis including homogeneous and heterogeneous materials, we suggest a unified modeling and analysis method based on implicit representation of the model using R-function which is suggested by Rvachev. For implicit modeling of an object a distance field is approximated and blended for a complex object. Using the implicit function mesh-free analysis is possible where meshes are not necessary. Generally mesh-free analysis requires heavy computational cost compared to a finite elements method. To improve the computing time of function evaluation, we utilize GPU programming. Finally, we give an example of a simple pipe design problem and show modeling and analysis process using our unified modeling and analysis method.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2010년도 춘계학술대회 논문집
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• pp.183-184
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• 2010

• 정보처리학회논문지D
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• 제14D권1호
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• pp.83-88
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• 2007

본 논문에서는 MDA(Model Driven Architecture) 기반의 임베디드 소프트웨어 컴포넌트 개발 방법을 소개한다. 이 방법은 이종의 임베디드 시스템에서 소프트웨어의 재사용성에 관한 문제점을 해결하고자 MDA기법을 임베디드 소프트웨어 개발에 적응한 것이다. 제안한 방법을 통해 하나의 메타 모델(Target Independent Model)을 각각의 다른 도메인에 맞는 타겟 종속적 모델(Target Specific Model)들을 만들고, 그에 따른 소스 코드(Target Dependent Code)를 개발하는 것이다. 이때 기 개발된 메타모델은 이종의 임베디드 시스템 개발에 재사용하려는 것이 목적이다. 우리는 이 방법에 따른 도구에 기존 xUML의 동적 모델링에서 표현되지 못하는 부분(병렬성, 실시간 등)을 보완하기 위해 확장하여 채택하였다. 확장된 xUML 노테이션을 기반으로 구현한 모델링 도구를 소개한다. 이는 임베디드 또는 병렬/실시간 소프트웨어의 모델링이 가능하다. 제안한 방법의 적응사례로서 이종 임베디드 시스템의 모델링을 통한 필드 개발을 보여준다.

• 한국초등수학교육학회지
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• 제22권4호
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• pp.497-516
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• 2018

본 연구는 초등학교 5학년 학생들의 수학적 모델링 수업에서 모둠 구성 방법에 따라 수학적 모델링 과정 수행 능력과 수학적 추론 능력에 차이가 있는지 분석하였다. 이를 위하여 3가지 문제 상황으로 각각 8차시에 걸쳐 총 24차시의 수학적 모델링 수업을 설계 및 실시하였다. 그 결과 동질 모둠 보다는 이질 모둠에서 더 낳은 수학적 모델링 과정 수행 능력과 수학적 추론 능력을 보여 주었다. 본 연구 결과는 수학 수업에서 수학적 모델링을 적용할 때 모둠 구성의 관점에서 이질 모둠이 보다 효과적임을 시사한다.

• 한국정보과학회논문지:소프트웨어및응용
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• 제35권12호
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• pp.705-715
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• 2008

SUGV의 활용이 늘어감에 따라 구성하는 소프트웨어가 복잡해지고 개발 환경 다양화로 인한 상호운용성 문제가 대두되고 있다. 본 논문에서는 이러한 문제점을 해결하고자 기존의 UML 프로파일 메커니즘을 이용하여 SUGV 개발에 MDA가 적용되도록 하였다. 이를 통해 이종 SUGV 소프트웨어 설계시 타겟 독립 모델을 만든 후 UML 프로파일이 적용된 자동화 도구를 이용해 타겟 종속 모델 및 코드를 생성하면 이종 기기의 개발기간과 노력을 절약할 수 있다. 그리고 발생된 코드의 분석을 통해 제안한 방법의 이점 및 신뢰성을 확인할 수 있었다.

• 한국도로학회논문집
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• 제8권1호
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• pp.139-152
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• 2006

Many experimental and numerical approaches have been developed to evaluate paving materials and to predict pavement response and distress. Micromechanical simulation modeling is a technology that can reduce the number of physical tests required in material formulation and design and that can provide more details, e.g., the internal stress and strain state, and energy evolution and dissipation in simulated specimens with realistic microstructural features. A clustered distinct element modeling (DEM) approach was implemented In the two-dimensional particle flow software package (PFC-2D) to study the complex behavior observed in asphalt mixture fracturing. The relationship between continuous and discontinuous material properties was defined based on the potential energy approach. The theoretical relationship was validated with the uniform axial compression and cantilever beam model using two-dimensional plane strain and plane stress models. A bilinear cohesive displacement-softening model was implemented as an intrinsic interface and applied for both homogeneous and heterogeneous fracture modeling in order to simulate behavior in the fracture process zone and to simulate crack propagation. A disk-shaped compact tension test (DC(T)) with heterogeneous microstructure was simulated and compared with the experimental fracture test results to study Mode I fracture. The realistic arbitrary crack propagation including crack deflection, microcracking, crack face sliding, crack branching, and crack tip blunting could be represented in the fracture models. This micromechanical modeling approach represents the early developmental stages towards a 'virtual asphalt laboratory,' where simulations of laboratory tests and eventually field response and distress predictions can be made to enhance our understanding of pavement distress mechanisms, such its thermal fracture, reflective cracking, and fatigue crack growth.

• Nuclear Engineering and Technology
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• 제48권1호
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• pp.33-42
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• 2016

Spacer grids play an important role in maintaining the proper form of the fuel assembly structure and ensuring the safety of reactor core design. This study applies the Monte Carlo method to the analysis of the neutronics effects of spacer grids in a typical pressurized water reactor (PWR). The core problem used to analyze the neutronics effects of spacer grids is a modified version of Korea Advanced Institute of Science and Technology benchmark problem 1B, based on an Advanced Power Reactor 1400 (APR1400) core model. The spacer grids are modeled and added to this test problem in various ways. Then, by running MCNP5 for all cases of spacer grid modeling, some important numerical results, such as the effective multiplication factor, the spatial distributions of neutron flux, and its energy spectrum are obtained. The numerical results of each case of spacer grid modeling are analyzed and compared to assess which type has more advantages in accuracy of numerical results and effectiveness in terms of geometry building. The conclusion is that the most realistic modeling for Monte Carlo calculation is the "volume-preserving" streamlined heterogeneous spacer grids, but the "banded" dissolution spacer grids modeling is a more practical yet accurate model for routine (deterministic) analysis.