• Tribology and Lubricants
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• 제24권2호
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• pp.90-95
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• 2008

An elastic-plastic contact analysis is developed using a semi-analytical method. The elastic contact is solved within a Hertz theorem. The reciprocal theorem with initial strains is then introduced, to express the surface geometry as a function of contact stress and plastic strains. The irreversible nature of plasticity leads to an incremental formulation of the elastic-plastic contact problem, and an algorithm to solve this problem is set up. Closed form expression, which give residual stresses and surface displacements from plastic strains, are obtained by integration of the reciprocal theorem. The distribution of contact stress, residual stress and plastic strain are obtained by the changed surface geometry.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2009년도 제7회 압연 심포지엄
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• pp.13-16
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• 2009

In order to investigate the effects of geometry factors such as a roil diameter ratio and backup roll crown of the stress concentration factor on the edge of backup roil end, 3-dimensional FEM analyses of stress at the contact of backup roll and work roll assembled in a 4-high strip mill were carried out, It was made clear that the peak stress at the edge is about 2 to 3 times of that at the longitudinal center of the roll barrel and the peak stress proportionally increase with decreasing the ratio of backup roll diameter to work roll diameter Furthermore a crowning on the backup roll is effective to decrease the maximum edge stress.

• 대한수학교육학회지:수학교육학연구
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• 제9권1호
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• pp.121-132
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• 1999

We have compared Korean and American mathematics curriculums in 5 areas: whole number(concepts and its operations); geometry; pattern and relations; measurements; statistics and probability. We have found significant differences in geometry area. Korean curriculums contain simple planar figures (circles, triangles, rectangles, and squres) and some of the spatial figures until 3rd grades. But in America they learn various planar and spatial fugures(cone, pyramid, triangular prism, etc) since the 1st grade starts. They also start the 1st grade by dealing with topological concepts like open/closed, inside/outside, order, etc. As the grade goes on, students learn other geometrical concepts like congruence, symmetry, 3-dimensional views. We also found that American curriculum focuses on students' activities and courages communication through projects, groupwork, journal writing, etc. It's also superior in respects of motivation, and connections with real life and other subjects. Korean curriculum needs more improvements in these aspects. Furthermore for lower graders reviewing sections need to be enhanced for feedback.

• 한국전산구조공학회논문집
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• 제22권6호
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• pp.549-555
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• 2009

본 논문에서는 굽힘과 내압이 가해질 때 미터밴드의 한계하중을 3차원 유한요소해석을 이용하여 연구하였다. 재료는 탄성-완전 소성재료로 가정하였고, 기하학적 선형과 비선형 효과를 고려하여 소성 한계하중을 결정하였다. 본 연구를 위한 해석에서는 다양한 범위의 형상 변수가 고려되었다. 유한요소해석 결과를 바탕으로 굽힘에 관한 보간식을 제시하였다.

• 충청수학회지
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• 제15권2호
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• pp.57-66
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• 2003

The various deformation spaces associated with maximal geometric structures on closed oriented 3-manifolds was studied in [2], leaving out the geometry of $\mathbb{R}^3$. In this paper, we study the Weil spaces and Teichm$\ddot{u}$ller spaces of non-orientable 3-dimensional flat Riemannian manifolds. In particular, we find the Teichm$\ddot{u}$ller spaces are homeomorphic to the Euclidean spaces $\mathbb{R}^4$ or $\mathbb{R}^3$ depending on the holonomy group $\mathbb{Z}_2$ or $\mathbb{Z}_2{\times}\mathbb{Z}_2$ respectively.

• 소음진동
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• 제3권3호
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• pp.271-278
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• 1993

Acoustic characteristics of silencer system are affected by various geometric parameters such as cross sectional geometry, size of chamber, and location of inlet-outlet port. It is impossible to obtain exact solutions of the equations of acoustic wave propagation except few simple cases. So, we resort to numerical techniques to analyze performance of acoustic system. In this work, finite element formulation has been obtained to predict transmission loss of an arbitrary 3-dimensional muffler in the presence of mean flow of low mach number. The effect of the degree of the ellipticity of expansion chambers on the transmission loss has been studied using the resulting finite element equation.

• 반도체디스플레이기술학회지
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• 제10권3호
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• pp.61-65
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• 2011

The capabilities of finite elements codes allow now accurate simulations of blanking processes when appropriate materials modelling are used. Over the last decade, numerous numerical studies have focused on the influence of process parameters such as punch-die clearance, tools geometry and friction on blanking force and blank profile. In this study, three dimensional finite element analysis is carried out to design a lead frame blanking die using LS-Dyna3D package. After design of the blanking die, an experiment is also carried out to investigate the characteristics of blanking for nickel alloy Alloy42, a kind of IC lead frame material. In this paper, it has been researched the investigation to examine the influence of process parameters such as clearance and air cylinder pressure on the accuracy of sheared plane. Through the experiment results, it is shown that the quality of sheared plane is less affected by clearance and air cylinder pressure.

• Geomechanics and Engineering
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• 제34권2호
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• pp.115-124
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• 2023

By conducting three-dimensional simulation with consideration of small-strain characteristics of soil stiffness, the effects of excavation geometry and tunnel cover to diameter ratio on deformation mechanisms of an existing tunnel located either at a side of basement or directly underneath the basement were systematically studied. Field measurements were used to verify the numerical model and model parameters. For basement excavated at a side of an existing tunnel, the maximum settlement and horizontal displacement of the tunnel are always observed at the tunnel springline closer to basement and tunnel crown, respectively, regardless of basement geometry. By increasing basement length and width by five times, the maximum movements of tunnel located at the side of basement and directly underneath the basement increase by 450% and 186%, respectively. Obviously, tunnel movements are more sensitive to basement length rather than basement width. For basement excavated at a side of an existing tunnel, tunnel movements at basement centerline become stable when basement length reaches 10 H_e (i.e., final excavation depth). Moreover, tunnel heaves due to overlying basement excavation become stable when the normalized basement length (L/H_e) is larger than 8.0. As tunnel cover to diameter ratio varies from 2.5 to 3.0, the maximum heave and tensile strain of tunnel due to overlying basement excavation decrease by up to 41.0% and 44.5%, respectively. If basement length is less than 8 H_e, the assumption of plane strain condition of basement-tunnel interaction grossly overestimates tunnel movements, and ignores tensile strain of tunnel along its longitudinal direction. Thus, three-dimensional numerical analyses are required to obtain a reasonable estimation of tunnel responses due to adjacent and overlying basement excavations in clay.

• 대한기계학회논문집A
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• 제38권8호
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• pp.881-886
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• 2014

5 축 기반 3 차원 금속 프린팅에서는 파트형상에 overhang/undercut 형상이 존재하여도 tilting과 rotating의 2 축을 이용하여 파트형상의 조형 방향을 자유롭게 바꾸어 지지구조물(support structure) 형상피처의 추가 없이 3-D 적층(3DL: 3-D layering)이 가능하게 된다. 이를 위해서는 overhang/undercut의 형상근처에서 국부적으로 tilting과 rotating 정보에 맞는 조형 층 적층 정보를 제공하는 새로운 전처리기(preprocessor) 기능이 필요하게 된다. 본 논문에서는 overhang/undercut 과 같은 형상들을 자동으로 진단하고 검출하여 3 차원 layering 이 가능할 수 있도록 방사형 기울기 측정법(calculation of radial gradient: CRG)과 은유적 자동 분할 알고리듬(implicit auto-partitioning algorithm: IAP)을 통해 다중 적층 알고리듬(Multi-part Layering Algorithm: MPL)을 구현함을 제시하고 이를 실제 STL 형상파일에 적용하여 제시된 이론을 검증하고자 하였다.

• 한국항공우주학회지
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• 제30권6호
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• pp.39-45
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• 2002

본 논문에서는 복합재의 3차원 경화 수치모사를 위해 유한요소 정식과정을 제시하였다. 이 정식을 기초로 하여 유한요소 프로그램을 개발하였다. 개발한 프로그램을 검증하기 위해 참고문헌에 제시된 수치예제에 대한 해석을 수행하였다. 본 논문에서의 경화 수치모사결과가 측정된 경화온도와 잘 일치하였다. 본 3차원 경화 수치모사에서는 1, 2차원 해석과는 달리 복합재 구조물의 임의 지점에서의 수치모사 결과분석이 가능하다. 개발된 유한요소 프로그램을 이용하면 불규칙한 형상을 가진 복합재 구조물과 일정하지 않은 오토클레이브 내부 온도분포 하에서의 경화 수치모사를 할 수 있다.