• 제목/요약/키워드: regular hexahedron

검색결과 13건 처리시간 0.031초

바탕문제를 활용한 정사면체와 정육면체의 절단면 작도에 대한 연구 (A Study on Constructing Plane Section of Regular Tetrahedmn and Regular)

  • 한인기;김문섭
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제46권3호
    • /
    • pp.303-314
    • /
    • 2007
  • In this paper we try to study a method of constructing plane sections of regular tetrahedron and regular hexahedron. In order to construct plane sections of regular tetrahedron and regular hexahedron first of all, we extract some base problems that are used for construction. And we describe construction process using base problems in detail.

  • PDF

불규칙한 3차원 형상에 응용된 구분종좌표보간법 (Discrete Ordinates Interpolation Method Applied to Irregular Three-Dimensional Geometries)

  • 차호진;송태호
    • 대한기계학회논문집B
    • /
    • 제24권6호
    • /
    • pp.814-821
    • /
    • 2000
  • The Discrete Ordinates Interpolation Method (DOIM) is tested in three-dimensional enclosures. The radiative transfer equation (RTE) is solved for a linear source term and the DOIM is formulated for a gray medium. Several interpolation methods can be applied to the DOIM scheme. Among them, the interpolation method applicable to an unstructured grid system is discussed. In a regular hexahedron enclosure, radiative wall heat fluxes are calculated and compared with exact solutions. The enclosure has an absorbing, emitting and nonscattering medium and a constant temperature distribution. These results are obtained with varying optical depths (xD = 0.1, 1.0, 10.0). Also, the same calculations are performed in an irregular hexahedron enclosure. The DOIM is applied to an unstructured grid system as well as a structured grid system for the same regular hexahedron enclosure. They are compared with the exact solutions and the computational efficiencies are discussed. When compared with the analytic solutions, results of the DOIM are in good agreement for three-dimensional enclosures. Furthermore, the DOIM can be easily applied to the unstructured grid system, which proves the reliability and versatility of the DOIM.

JAVA를 이용한 중학교 기하영역 자료 개발 - GSP로 구현한 정다면체 구성 -

  • 계영희;박기수
    • 한국수학사학회지
    • /
    • 제14권2호
    • /
    • pp.115-124
    • /
    • 2001
  • In this paper, we developed a Web application program that could show the shape, the number of the vertices, the edges, the faces and development figures of polygons(regular tetrahedron, regular hexahedron, etc). The program was implemented using GSP(Geometer's SketchPad) and then converted to JAVA to display the results of GSP on the Web. The results of this paper are applicable to geometry of a junior high school course.

  • PDF

3차원 경계요소법을 이용한 무경계 산란장의 효율적 해석 (An Efficient Analysis of Unbounded Scattering Field Using Three Dimensional Boundary Element Method)

  • 박동희;김정기
    • 한국전자파학회지:전자파기술
    • /
    • 제5권3호
    • /
    • pp.14-21
    • /
    • 1994
  • 본 논문에서는 임의의 형태와 매질성분을 갖는 3차원 물체의 RCS(Radar Cross Section)를 구하기 위한 수 치켜 방법을 제시한다 RSC는 3차원 경계요소볍(3-DBEM)을 사용하여 다충산란체에 관한 표면적분방정식을 해석함으로서 구한다. 본 논문에서는 3차원적 경계요소법의 타당성과 유용성을 보이기 위하여 산란체의 형태를 비스듬한 입사전계로 부터 다충 정6변체 및 직6면체를 선택하였으며, 손실을 갖는 유전체 및 자성체의 경우에도충분히 적용될수 있도록 고찰하였다.

  • PDF

MICROWAVE 가열에 의한 내화 점토의 열전달 특성 연구 (A Study on the Characteristics of Heat transfer of Fire Clay with Microwave Heating)

  • 이승준;김윤제;김철주;성관
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 춘계학술대회논문집E
    • /
    • pp.202-206
    • /
    • 2001
  • The characteristics of heat transfer on the fire clay with microwave heating are numerically investigated using finite element method. The modelled regular hexahedron chamber($50cm{\times}50cm{\times}50cm$) filled with air consists of vertical heat source and sink walls, a fire clay model, and adiabatic plates at the top and bottom walls. With different geometrical aspect ratios of the fire clay model, the heat energy distribution is throughly investigated. The optimal shape of the fire clay for given chamber geometry and microwave power is analyzed.

  • PDF

Three dimensional transition solid elements for adaptive mesh gradation

  • Choi, Chang-Koon;Lee, Nam-Ho
    • Structural Engineering and Mechanics
    • /
    • 제1권1호
    • /
    • pp.61-74
    • /
    • 1993
  • A new three-dimensional transition solid element was presented for the automated three-dimensional adaptive h-refinement or the local mesh refinement where the steep stress gradient exists. The proposed transition element was established by adding variable nodes(element nodes) to basic 8-node for an effective connection between the refined region and the coarse region with minimum degrees of freedom possible. To be consistent in accuracy with 8-node solid element with nonconforming modes, this transition element was also improved through the addition of the modified nonconforming modes. Numerical examples show that the performance of the element and the applicability to 3D adaptations are satisfactory.

MICROWAVE 가열 건조에 의한 내화 점토의 열에너지 분포 특성 연구 (A Study on the Characteristics of Heat Energy Distribution of Fire-Proof Clay with Microwave Heating Drying)

  • 이승준;김윤제
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 추계학술대회논문집B
    • /
    • pp.752-757
    • /
    • 2001
  • The characteristics of heat energy distribution on the fire-proof clay with microwave heating drying are numerically investigated using finite element method. The modelled regular hexahedron chamber$(50cm\times50cm\times50cm)$ filled with air consists of vertical heat source and sink walls, a fire-proof clay model, and adiabatic plates on the top and bottom walls. With different geometrical aspect ratios of the fire-proof clay model, the heat energy distribution is throughly investigated. The model gave a good prediction of the microwave heating characteristics of fire-proof clay. The optimal shape of the fire-proof clay for given chamber geometry and microwave power is analyzed.

  • PDF

Contour Method and Collapsibility Criteria for $2{\times}3{\times}K$ Contingency Tables

  • Hong, C.S.;Son, B.U.;Park, J.Y.
    • Journal of the Korean Data and Information Science Society
    • /
    • 제15권4호
    • /
    • pp.717-729
    • /
    • 2004
  • The contour method which was originally designed for $2{\times}2{\times}2$ contingency table is studied for $2{\times}2{\times}K$ and $2{\times}3{\times}K$ tables. Whereas a contour plot for a $2{\times}2{\times}K$ table is represented on unit squared two dimensional plane, a contour plot of a $2{\times}3{\times}K$ table can be expressed with a regular hexahedron on three dimensional space. Based on contour plots for categorical data fitted to all possible three dimensional log-linear models, one might identify whether $2{\times}2{\times}k$ or $2{\times}3{\times}K$ tables are collapsible over the third variable.

  • PDF

NaCl을 Space holder로 이용한 타이타늄 다공체의 특성 (Characteristics of Porous Titanium Fabricated by Space-holder Method using NaCl)

  • 손병휘;홍재근;현용택;김승언;배석천
    • 한국분말재료학회지
    • /
    • 제18권6호
    • /
    • pp.488-495
    • /
    • 2011
  • This study was performed to fabricate the porous titanium foam by space holder method using NaCl powder, and to evaluate the effect of NaCl volume fractions (33.3~66.6 vol.%) on the porosities, compressive strength, Young's modulus and permeability. For controlling pore size, CP titanium and NaCl particles were sieved to different size range of 70~150 ${\mu}m$ and 300~425 ${\mu}m$ respectively. NaCl of green Ti compact was removed in water followed by sintered at $1200^{\circ}C$ for 2 hours. Total porosities of titanium foam were in the range of 38-70%. Pore shape was a regular hexahedron similar that of NaCl shape. Porous Ti body showed that Young's modulus and compressive strength were in the range of 0.6-6 GPa and 8-127 MPa respectively. It showed that pore size and mechanical properties of Ti foams was controllable by NaCl size and volume fractions.

다공질 치과용 임플란트 설계를 위한 육각가공체의 역학 분석 (Mechanical Analysis of Hexagonal Porous Body for Porous Dental Implant)

  • 김남식
    • 대한치과기공학회지
    • /
    • 제33권4호
    • /
    • pp.307-312
    • /
    • 2011
  • Purpose: The purpose of this study is a porous cube mechanical analysis for the dental implant. Methods: The porous cube with a side length of 10mm was designed for dental implant. To choose proper design, porous hexagon with a side 10mm which was drilled as a regular hexagon with diameter 0.8mm, 1.0mm, 1.2mm and a side 0.4mm, 0.5mm, 0.6mm each using Computer AUTO CAD(Autodesk, 2008). Each cube was carried out in the mechanical analysis. Results: The result of mechanical analysis was observed that the H0.8 was minimum stress 0.045068MPa, maximum stress 9.4565MPa and minimum strain $0.00389{\times}10^{-4}Mpa$, maximum strain $0.816{\times}10^{-4}Mpa$, the H1.0 minimum stress 0.001147MPa, maximum stress 9.099MPa and minimum strain $0.000099{\times}10^{-4}Mpa$, the maximum strain $0.784{\times}10^{-4}Mpa$, the H1.2 minimum stress 0.099393MPa, maximum stress 13.137MPa and minimum strain $0.0112{\times}10^{-4}Mpa$, maximum strain $1.13{\times}10^{-4}Mpa$. Conclusion: The mechanical analysis of porous hexahedron was that H1.0 is the best result. It will be applicable to the porous implants.