• Korean Journal of Mathematics
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• 제25권2호
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• pp.279-301
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• 2017

An L(3, 2, 1)-labeling for the graph G = (V, E) is an assignment f of a label to each vertices of G such that ${\mid}f(u)-f({\upsilon}){\mid}{\geq}4-k$ when $dist(u,{\upsilon})=k{\leq}3$. The L(3, 2, 1)-labeling number, denoted by ${\lambda}_{3,2,1}(G)$, for G is the smallest number N such that there is an L(3, 2, 1)-labeling for G with span N. In this paper, we compute the L(3, 2, 1)-labeling number ${\lambda}_{3,2,1}(G)$ when G is a cylindrical grid, which is the cartesian product $P_m{\Box}C_n$ of the path and the cycle, when $m{\geq}4$ and $n{\geq}138$. Especially when n is a multiple of 4, or m = 4 and n is a multiple of 6, then we have ${\lambda}_{3,2,1}(G)=11$. Otherwise ${\lambda}_{3,2,1}(G)=12$.

• 한국전산유체공학회지
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• 제12권2호
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• pp.37-45
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• 2007

The hybrid Cartesian/immersed boundary method is applied to simulate fluid-structure interaction of a two-dimensional orbiting flexible foil. The elastic deformation of the flexible foil is modelled based on the dynamic equation of a thin-plate. At each time step, the locations and velocities of the Lagrangian control points on the flexible foil are used to reconstruct the boundary conditions for the flow solver based on the hybrid staggered/non-staggered grid. To test the developed code, the flow fields around a flapping elliptical wing are calculated. The time history of the vertical force component and the evolution of the vorticity fields are compared with recent other computations and good agreement is achieved. For the orbiting flexible foil, the vorticity fields are compared with those of the case without the deformation. The combined effects of the angle of attack and the orbit on the deformation are investigated. The grid independency study is carried out for the computed time history of the deformation at the tip.

• 대한조선학회논문집
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• 제48권3호
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• pp.260-266
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• 2011

For long slender offshore structures, such as cables and pipe lines, their interaction with surrounding fluid flow becomes an important issue for global design of ocean systems. We employ a long circular cylinder as a representative case of slender offshore structure. A flexibly mounted cylinder in cross-flow generates complex vortex shedding and results in oscillation of the structure. In this paper, flow behind a circular cylinder at Re=100 is simulated. The vortex shedding pattern and flow induced motion are examined in the cross flow configuration as well as with various yaw-angled configurations. The "Lock-in" phenomenon is also observed when reduced velocity is approximately 4.0. The MAC Grid system, which is the typical grid system for Cartesian mesh and pressure correction methods, are used for solving the incompressible Navier-Stokes equations. Predictor/Corrector method is applied for obtaining a non-linear response of structure at the flexibly mounted. The existance and motion of the body is represented by the immersed boundary technique.

• 대한조선학회논문집
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• 제45권4호
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• pp.379-388
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• 2008

A hybrid Cartesian/immersed boundary code is expanded to simulate flow field around a three-dimensional body which undergoes large dynamic deformation. Immersed boundary nodes are automatically distributed based on the edges crossing triangles on body boundary. Velocity vectors are reconstructed at those immersed boundary nodes along local normal lines to the boundary. The reconstruction of pressure is avoided using the hybrid staggered/non-staggered grid method. The developed code is validated through comparisons with other results on laminar flow over a sphere. The code is applied to simulate flow around a foil which is attached to a body of revolution and rotates under periodic deformation. The periodic variation of the tip vortex is observed and the effects of the deformation on hydrodynamic force acting on the body are investigated.

• 전력전자학회논문지
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• 제6권1호
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• pp.49-56
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• 2001

본 논문은 신경회로망에 근거한 교류서보전동기의 제어를 위해 새로운 기법을 제안하고자 한다. 일반적인 제어 기법을 사용하는 대선 선경회로망 PID제어가가 교류서보전동기 제어를 위해 이용되었다. 서보시스템에서 널리 이용되는 제어는 PID제어이며, 이는 간단한 구조와 안전성과 신뢰성을 지니고 있다. 그러나 복잡한 사스템에서 문제점을 나타내므로 불확실한 파라미터의 상태에서는 불완전한 동작을 나타내고 있다. 본 논문에서는 PID제어기의 개선된 제어 알고리즘을 제안하여 교류서보전동기의 시스템을 신경회로망제어를 이용한 PID제어기에 의해 구동시켜 단계적인 제어를 시뮬레이션과 실험에 의해서 제안한 제어알고리즘의 타당성을 입증하고자 한다.

• Kyungpook Mathematical Journal
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• 제59권3호
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• pp.515-523
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• 2019

Consider a graph G of order n and maximum degree ${\Delta}$. Let $f:V(G){\rightarrow}\{0,1,{\cdots},{\lceil}{\frac{{\Delta}}{2}}{\rceil}+1\}$ be a function that labels the vertices of G. Let $B_0=\{v{\in}V(G):f(v)=0\}$. The function f is a strong Roman dominating function for G if every $v{\in}B_0$ has a neighbor w such that $f(w){\geq}1+{\lceil}{\frac{1}{2}}{\mid}N(w){\cap}B_0{\mid}{\rceil}$. In this paper, we study the bounds on strong Roman domination numbers of the Cartesian product $P_m{\square}P_k$ of paths $P_m$ and paths $P_k$. We compute the exact values for the strong Roman domination number of the Cartesian product $P_2{\square}P_k$ and $P_3{\square}P_k$. We also show that the strong Roman domination number of the Cartesian product $P_4{\square}P_k$ is between ${\lceil}{\frac{1}{3}}(8k-{\lfloor}{\frac{k}{8}}{\rfloor}+1){\rceil}$ and ${\lceil}{\frac{8k}{3}}{\rceil}$ for $k{\geq}8$, and that both bounds are sharp bounds.

• 반도체디스플레이기술학회지
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• 제20권3호
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• pp.152-156
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• 2021

Cartesian robot is used in semiconductor manufacturing. Friction between steel band and mover wears the steel band. The emission of wear particle from steel band contaminates semiconductor equipment. At the manufacturing site, the steel band is replaced periodically to minimize the generation of wear particle. But this is not a good way to minimize the generation of wear particle, because it is hard to specify the moment of replacement. We suggested the methodology to minimize the generation of wear particle using TRIZ technique. Also we made prototype robot which the solution is applied, and the performance of the solution was verified through experiments. As a result of verification, it was confirmed that the solution significantly reduced the generation of wear particle compared to the standard way.

• International Journal of Naval Architecture and Ocean Engineering
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• 제13권1호
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• pp.691-706
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• 2021

This paper aims to numerically investigate violent sloshing in a partially filled three-dimensional (3D) prismatic tank with or without a baffle, further to clarify the suppressing performance of the baffle and the damping mechanism of sloshing. The numerical model is based on a Cartesian grid multiphase flow method, and it is well validated by nonlinear sloshing in a 3D rectangular tank with a vertical baffle. Then, sloshing in an unbaffled and baffled prismatic tank is parametrically studied. The effects of chamfered walls on the resonance frequency and the impact pressure are analyzed. The resonance frequencies for the baffled prismatic tank under different water depths and baffle heights are identified. Moreover, we investigated the effects of the baffle on the impact pressure and the free surface elevation. Further, the free surface elevation, pressure and vortex contours are analyzed to clarify the damping mechanism between the baffle and the fluid.

• 한국주조공학회지
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• 제43권6호
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• pp.302-309
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• 2023

일반적으로 주조품은 복잡한 형상을 가지고 있고, 한 제품 내에서 두께의 차이가 현저하게 나는 경우가 있어 시뮬레이션을 위한 격자를 생성할 때 어려움이 있다. 주조 유동은 이상유동으로 수치해석을 할 때 공기와 용탕의 경계면을 추적해야하며 밀도차에 의한 압력장 계산에 많은 시간이 소요된다. 이와 같은 이유로 주조유동해석에는 직교격자가 주로 이용되어왔다. 그러나 직교격자는 형상을 제대로 표현하지 못한다. 곡면에서 나타나는 계단형상 격자로 인해 모멘텀 손실이 발생하고 이로 인해 용탕의 흐름이 달라질 수 있으며 결과적으로 잘못된 주조 방안 설계를 할 수 있다. 이를 피하기 위하여 직교격자계에서 형상을 좀 더 정확하게 표현하기 위하여 많은 수의 격자를 생성하여 해석을 한다. 또는 직교격자계에서 발생하는 문제를 수치적으로 보완하는 Cut Cell 방법을 적용하여 해석하는 방법이 있다. 본 연구에서는 직교격자계에서 주조유동해석을 할 때 격자수에 따른 해석결과와 Cut Cell 방법을 적용한 해석 결과를 비교하였다. 또한 주조공정별로 실제제품을 주조유동해석을 하고 공정별로 Cut Cell 방법을 적용한 결과를 고찰하였다.

• Korean Journal of Mathematics
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• 제2권
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• pp.73-77
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• 1994