• 대한수학회보
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• 제55권4호
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• pp.1051-1063
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• 2018

The real moment-angle complex (or, more generally, real polyhedral product) and its real toric space have recently attracted much attention in toric topology. The aim of this paper is to give two interesting remarks regarding real polyhedral products and real toric spaces. That is, we first show that Moore's conjecture holds to be true for certain real polyhedral products. In general, real polyhedral products show some drastic difference between the rational and torsion homotopy groups. Our result shows that at least in terms of the homotopy exponent at a prime this is not the case for real polyhedral products associated to a simplicial complex whose minimal missing faces are all k-simplices with $k{\geq}2$. Moreover, we also show a structural theorem for a finite group G acting simplicially on the real toric space. In other words, we show that G always contains an element of order 2, and so the order of G should be even.

• 한국측량학회:학술대회논문집
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• 한국측량학회 2010년 춘계학술발표회 논문집
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• pp.235-238
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• 2010

Since the mid 1990s airborne LiDAR data have been widely used, automation of building modeling is getting a central issue. LiDAR data processing for building modeling is involved with extracting surface patch elements by segmentation and surface fitting with optimal mathematical functions. In this study, simulation LiDAR data were generated with complex polyhedral roofs of buildings and an automatic modeling approach was proposed.

• 제어로봇시스템학회논문지
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• 제8권12호
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• pp.991-997
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• 2002

The concept of feasible & invariant region plays an important role to derive closed loop stability and achie adequate performance of constrained receding horizon predictive control. In this paper, we define a complex polyhedral feasible & invariant set for all stabilizable input-constrained linear systems by using a complex transform and propose a one-norm based receding horizon control scheme using these invariant sets. In order to get a larger stabilizable set, a convex hull of invariant sets which are defined for different state feedback gains is used as a target invariant set of the constrained receding horizon control. The proposed constrained receding horizon control scheme is formulated so that it can be solved via linear programming.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2011년 춘계학술대회논문집
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• pp.483-487
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• 2011

In the present study, a CFD program based on a finite volume method was developed by using an unstructured polyhedral grid system for the accurate simulation with the complex geometry of computational domain. To simulate the transient flow induced by the moving solid object, the program used a fractional step method and a ALE (Algebric Lagrangian-Eulerian) method. The grid deformation for the moving of solid object were performed with a spring analogy based on the center coordinate of each computational grid. To verify the present program with these methodologies, the numerical results of the flow around the fixed and oscillating circular cylinder were compared with the previous numerical results.

• 대한수학회지
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• 제58권2호
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• pp.451-471
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• 2021

First, we define phase tropical hypersurfaces in terms of a degeneration data of smooth complex algebraic hypersurfaces in (ℂ∗)n. Next, we prove that complex hyperplanes are homeomorphic to their degeneration called phase tropical hyperplanes. More generally, using Mikhalkin's decomposition into pairs-of-pants of smooth algebraic hypersurfaces, we show that a phase tropical hypersurface with smooth tropicalization is naturally a topological manifold. Moreover, we prove that a phase tropical hypersurface is naturally homeomorphic to a symplectic manifold.

• 한국정밀공학회지
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• 제22권4호
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• pp.194-202
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• 2005

The objective of this paper is to develop a multi-functional hotwire cutting system (MHC) using EPS-foam block or plate as the working material. Because the MHC apparatus employs a four-axis synchronized hotwire cutter with the structure of two XY movable heads and a turntable, it allows the easy fabrication of various 3D shapes, such as (1) an axisymmetric shape or a sweeping cross-sectioned pillar shape using the hot-strip in the form of sweeping surface and EPS foam block on the turntable, (2) a polyhedral complex shape using the hotwire and EPS foam block on the turntable, and (3) a ruled surface approximated freeform shape using the hotwire and EPS foam plate. In order to examine the applicability of the developed MHC apparatus, an axisymmetric shape, a polyhedral shape and a large-sized freeform shape were fabricated on the apparatus.

• 한국지반환경공학회 논문집
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• 제25권4호
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• pp.21-28
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• 2024

본 연구에서는 SPH 해석을 위한 다면체영역분할 기법이 소개된다. SPH 기법은 유체 유동 모사를 위한 수치해석기법으로 무요소기법(meshless method) 중 하나이다. 유동성 지반 또는 고체-유체 상호작용 해석 등에 유용하게 쓰일 수 있다. SPH는 입자기반 해석이기 때문에 입자가 많을수록 결과의 정확도는 높아지지만 수치적 효율성은 떨어진다. 일반적으로 해석의 효율성을 높이기 위해 병렬 프로세싱 알고리즘과 함께 쓰이는데 직교좌표계 기반의 영역분할 기법이 대표적이다. 그러나 복잡한 기하학적 형태나 동적 경계조건에서 유동 모사 등을 병렬 해석하기 위해서는 직교좌표계 영역분할 방법이 적합하지 않다. 소개하는 다면체영역분할 기법은 이와 같은 문제에서 병렬효율성을 높일 수 있는 장점을 갖는다. 다양한 형태의 3차원 다면체 요소로 분할하여 문제에 적합하게 모델링할 수 있다. SPH 입자들의 물리적 값들은 smoothing 길이 이내의 주위 입자들 정보를 이용하여 계산된다. 영역분할 시 물리적으로 분리될 수 있는 입자정보들을 코어간 공유할 수 있는 방법과 병렬효율성이 떨어질 수 있는 cross-point에서의 정보공유 방법이 소개된다. 수치해석 예제를 통하여 제안된 방법의 병렬효율성은 12코어까지 95%에 근접하였다. 이후 코어가 증가할수록 코어간 공유되는 정보량이 많아져 병렬효율성이 떨어지는 문제가 발생되기도 하였다.

• Journal of Computational Design and Engineering
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• 제2권3호
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• pp.183-194
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• 2015

This paper proposes a novel method for visualizing the thickness and clearance of 3D objects in a polyhedral representation. The proposed method uses the distance field of the objects in the visualization. A parallel algorithm is developed for constructing the distance field of polyhedral objects using the GPU. The distance between a voxel and the surface polygons of the model is computed many times in the distance field construction. Similar sets of polygons are usually selected as close polygons for close voxels. By using this spatial coherence, a parallel algorithm is designed to compute the distances between a cluster of close voxels and the polygons selected by the culling operation so that the fast shared memory mechanism of the GPU can be fully utilized. The thickness/clearance of the objects is visualized by distributing points on the visible surfaces of the objects and painting them with a unique color corresponding to the thickness/clearance values at those points. A modified ray casting method is developed for computing the thickness/clearance using the distance field of the objects. A system based on these algorithms can compute the distance field of complex objects within a few minutes for most cases. After the distance field construction, thickness/clearance visualization at a near interactive rate is achieved.

• 한국전산구조공학회논문집
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• 제27권4호
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• pp.239-245
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• 2014

강화재의 복잡한 배열로 인하여 복합재 구조에 대한 유한요소 모델링은 상당히 까다로운 문제가 될 수 있다. 본 논문에서는 복합재 구조에 대하여 효율적으로 주기 격자망을 생성시킬 수 있는 기법을 제안한다. 먼저 육면체 유한요소로 구성된 규칙적인 격자망을 준비하고, 이를 복합재 내의 강화재에 대한 표면 정보에 맞추어 깎아낸다. 강화재와 기지재 사이에서 깎여진 육면체 유한요소는 임의의 절점과 면을 가질 수 있는 다면체 유한요소에 해당한다. 일관된 알고리즘을 이용하여 육면체 유한요소를 깎아내기 때문에 강화재와 기지재 사이의 요소는 자동적으로 적합한 형태로 구성된다. 또한 대표체적영역 내에서 강화재의 주기성을 추가적으로 고려하면, 대표체적영역에 대한 각각의 주기 경계 쌍에서 절점과 요소의 형태가 모두 일치하는 주기 격자망을 효율적으로 생성시킬 수 있다. 그러므로 별도의 처리 없이 대표체적영역에 주기 경계조건을 부여할 수 있다. 수치예제에서는 본 논문에서 제안한 기법의 효용성을 검증한다.

• 대한건축학회연합논문집
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• 제21권3호
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• pp.87-92
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• 2019

To relieve noise between floors in Korea, recent domestic and overseas studies have been developing materials that have the properties of ceramic, which is an inorganic compound, and polymer, which is an organic compound, to introduce a new function to polymer. This study conducted a bending strength experiment between re-bar and new composite concrete mixing POSS (Polyhedral Oligomeric Silses-quioxanes) nano complex on the inside of concrete, and by assembling the inside of each concrete with 3 and 4 main re-bars as an experiment to supplement various problems that occur by the expression of this strength and the distribution of the reinforcement. The number of the main re-bars. and the direction of laying the concrete were applied as the principal variables of the experiment. Upon experiment, there were no differences in the bond strength based on the location of the main re-bar, and a 2 % increase in the bond strength was shown in the specimen laid in the same direction as the main re-bar in comparison to that of the specimen laid in a different direction from the main re-bar. The experiment results displayed that the composite concrete had uniform performance based on the rapid reaction speed of POSS nano complex.