• Title/Summary/Keyword: corner cut

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FINITE ELEMENT SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATION WITH MULTIPLE CONCAVE CORNERS

  • Kim, Seokchan;Woo, Gyungsoo
    • Honam Mathematical Journal
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    • v.40 no.4
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    • pp.785-794
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    • 2018
  • In [8] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous Dirichlet boundary condition with one corner singularity at the origin, and compute the finite element solution using standard FEM and use the extraction formula to compute the stress intensity factor, then pose a PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor, which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. This approach uses the polar coordinate and the cut-off function to control the singularity and the boundary condition. In this paper we consider Poisson equations with multiple singular points, which involves different cut-off functions which might overlaps together and shows the way of cording in FreeFEM++ to control the singular functions and cut-off functions with numerical experiments.

A Study on the Laser Cutting Characteristics of Magnesium alloys (마그네슘합금의 레이저 절단가공 특성에 관한 연구)

  • Jung, Han-Byul;Kim, Hyung-Sun
    • Journal of Advanced Engineering and Technology
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    • v.11 no.4
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    • pp.227-235
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    • 2018
  • Studies on the laser cutting processing characteristics of magnesium alloys can be divided into three parts, comparing the cutting faces of magnesium alloy and aluminum alloy, observing the shape of the corner where straight lines meet, and observing the straight lines and arcs. First, there were no laser cutting conditions for magnesium alloys, so it was observed to cut magnesium alloy and aluminum alloy under the same processing conditions as aluminum alloy to shape and surface of the cut surface. Next, to observe the characteristics of the corner, we observed the shape of the corner according to the angle change of the part where the two lines meet, and finally we observed various angles to observe the characteristics of the part where the arc meets the line. Finally, laser cutting processing characteristics of magnesium alloys and aluminum alloys obtained based on the above study contents were summarized.

A Study on the Analysis and Corner Joint Design of Underground R.C Box Structure (지하의 철근콘크리트 박스구조물의 해석 및 우각부 설계에 관한 연구)

  • 오병환;채성태;신호상;김의성
    • Proceedings of the Korea Concrete Institute Conference
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    • 1996.04a
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    • pp.253-257
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    • 1996
  • A basic assumption in the current design and analysis of reinforced concrete(RC) box structures, which are constructed by the open cut and fill method, is that the displacements and forces are uniform in the longitudinal direction of the structure. The solution may be therefore obtatined from the analysis of a unit wide strip along longitudinal axis. This strip is said to be in a plane strain condition, meaning that the out of plane deformations are vanished. The current design of box structure is carried out by the result of planar frame model for the sake of simplicity. The purpose of this study is to show more rational design method of box culverts considering a rigid zone of corner joints. The current analysis of box structures will be compared with the plane strain analysis as well as 3-d shell model. Reinforcement quantity is also determined to resist the tensile force in corner joints of box structures using strut-tie model which has been developed through the elastic analysis.

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A Corner-Truncated Equilateral-Triangular Microstrip Antenna and Its Applications for Reconfigurable Antennas with Polarization Diversity (모서리가 잘린(Corner-cut) 구조를 가진 정삼각형 마이크로스트립 안테나와 편파 변환 재구성 안테나로의 응용)

  • Sung, Young-Je
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.10
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    • pp.1159-1165
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    • 2008
  • In this paper, a single-feed equilateral-triangular microstrip antenna with truncated corners is used for achieving diverse radiation polarization. The proposed antenna is excited by a microstrip line, which is place parallel to an oblique side of the equilateral-triangular patch. Depending on whether the three identically-sized comers of the triangular patch are cut or not, the equilateral-triangular microstrip antenna shows linear polarization(LP) or left-hand circular polarization(LHCP) or Tight-hand circular polarization(RHCP). Based on the equilateral-triangular microstrip antenna with truncated corners, a novel reconfigurable microstrip antenna with switchable polarization sense is also proposed. The proposed reconfigurable antenna has a simple structure, consisting of a corner-truncated triangular patch, a small triangular conductor, and a microstrip line. Using a biased PIN diode between the patch and the small triangular conductor, it can produce LP or RHCP according to bias voltages. From the measured results, low cross polarization level when operated in the linear state and good axial ratio in the circular state are observed.

A Study on the Design of Throw-away Cutting Tool System for Deep Grooving or Cut-off Machining (깊은 홈 및 절단가공용 드로우어웨이식 초경공구 시스템의 설계에 관한 연구)

  • Kim, Hyeung-Chul;Lee, Woo-Young;Namgung, Suk
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.1
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    • pp.123-130
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    • 1996
  • The procedure on the design of a new tungsten cabide throw-away cutting tool system for deep grooving or cut-off machining is suggested. For relieving the maximum stress level at the corner radius of the blade holder, the finite element method is used. Also the pulling test device is proposed for measuring the holding force of the insert between the blade holder and the insert considering the materials in contact and configuration parameters of the holder.

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A Fundamental Study on the Underground Excavation using by Slit Method(I) (Slit공법을 이용한 지하공동 굴착에 관한 기초적 연구(I))

  • 이희성;윤지선
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.93-100
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    • 2000
  • In this study, we used photoelastic coating method which is a kind of model test for examining the stress condition of rock masses around underground structures. Using this method, we could know adaptability and usefulness of photoelastic coating method for various shape of tunnel models. And, in spite of higher cross section efficiency, square shape model showed unstable status because of high stress concentration. So, we cut the slits at the each corner of tunnel, and we could make more stable stress condition by means of moving high stress concentration to rock mass.

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모서리 절단 효과로 인한 사각주상체의 공기력 특성변화 전산해석

  • Hwang, Gyu-Gwan
    • Proceeding of EDISON Challenge
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    • 2015.03a
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    • pp.553-558
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    • 2015
  • 교량의 주탑, 초고층빌딩과 같이 세장비가 큰 대형구조물의 경우 풍하중에 취약한 특성을 지니고 있어서 바람에 의해 직각 방향으로 발산 진동하는 갤로핑(galloping) 현상이 발생하게 된다. 구조물의 진동을 억제하려는 방안으로 단면 형상에 변화를 주어 공기역학적 불안정성을 감소시키는 방법이 사용되고 있다. 본 논문에서는 Edison_CFD를 이용하여 모서리 절단부의 비율과 받음각에 따른 공기력 특성에 대한 전산해석을 수행하였다.

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A Study on Wake Flow Characteristics of vertical Plate with Various Coner Shape (모서리 형상에 따른 수직벽 후류특성에 관한 연구)

  • Lee, Cheol-Jae;Cho, Dae-Hwan
    • Journal of the Korean Society of Mechanical Technology
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    • v.13 no.2
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    • pp.101-106
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    • 2011
  • In this study, the velocity distribution according to upper side coner shape of underwater construction with rectangular cylinder was measured with PIV method and the wake flow characteristics was considered. According to the coner shape, the flow pattern of wake flow was also differed greatly and the step-shaped coner of cut-off ratio B/H=0.06 was similar in the slope shape in result.