• Title/Summary/Keyword: triangular prism

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Models for Relative Density and Compressive Strength of Open-Cell Ceramics with Hollow Struts (공동골격을 가진 개방셀 세라믹스의 상대밀도와 압축강도 모델)

  • 정한남;현상훈
    • Journal of the Korean Ceramic Society
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    • v.34 no.11
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    • pp.1139-1150
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    • 1997
  • A model for predicting the relative density and the compressive strength of open-cell ceramics with three-dimensional network structure was proposed through the interpretation of their macrostructure and fracture mechanics. The equation predicting the relative density was derived under the assumption that the open-cell structure was a periodic array of the tetrakaidecahedron unit cell consisting of cylindrical struts containing the internal hollow with the shape of a triangular prism. The model for compressive strength of open-cell ceramics with the hollow strut was also developed by modifying conventional model which based on fracture behavior of them subjected to the compressive stress. Both the relative density and the compressive strength were expressed in terms of the ratio of the strut diameter to the length together with the ratio of the hollow size to the strut diameter. The proposed model for the relative density and the compressive strength of the alumina-zirconia composite with open-cell structure were accorded well with the experimental values, whereas Gibson-Ashby and Zhang's model did not show such a good agreement.

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Finite Element Mesh Generation from 3D Laser Scanned Data (3차원 레이저 스캐닝 점 좌표 데이터로부터 CAE 유한 요소 메쉬 생성 알고리즘 개발)

  • Jarng S.S.;Yang H.J.;Lee J.H.
    • Korean Journal of Computational Design and Engineering
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    • v.10 no.1
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    • pp.70-75
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    • 2005
  • A 3D solid element mesh generation algorithm was newly developed. 3D surface points of global rectangular coordinates were supplied by a 3D laser scanner. The algorithm is strait forward and simple but it generates mixed solid elements such as hexagonal, pyramid and prism types. Then, the surface triangular or rectangular elements were generated from the solid elements. The key of the algorithm is elimination of elements and 3D adaptive surface smoothing using given 3D surface point data.

Development of a Traversability Map for Safe Navigation of Autonomous Mobile Robots (자율이동로봇의 안전주행을 위한 주행성 맵 작성)

  • Jin, Gang-Gyoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.4
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    • pp.449-455
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    • 2014
  • This paper presents a method for developing a TM (Traversability Map) from a DTM (Digital Terrain Model) collected by remote sensors of autonomous mobile robots. Such a map can be used to plan traversable paths and estimate navigation speed quantitatively in real time for robots capable of performing autonomous tasks over rough terrain environments. The proposed method consists of three parts: a DTM partition module which divides the DTM into equally spaced patches, a terrain information module which extracts the slope and roughness of the partitioned patches using the curve fitting and the fractal-based triangular prism method, and a traversability analysis module which assesses traversability incorporating with extracted terrain information and fuzzy inference to construct a TM. The potential of the proposed method is validated via simulation works over a set of fractal DTMs.

Comparison and Analysis of Mathematics Curriculums for lower graders (한국과 미국의 초등학교 저학년 수학 교과서 및 교육과정의 비교와 분석)

  • 김연미
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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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.

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Finite element analysis for laterally loaded piles in sloping ground

  • Sawant, Vishwas A.;Shukla, Sanjay Kumar
    • Coupled systems mechanics
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    • v.1 no.1
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    • pp.59-78
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    • 2012
  • The available analytical methods of analysis for laterally loaded piles in level ground cannot be directly applied to such piles in sloping ground. With the commercially available software, the simulation of the appropriate field condition is a challenging task, and the results are subjective. Therefore, it becomes essential to understand the process of development of a user-framed numerical formulation, which may be used easily as per the specific site conditions without depending on other indirect methods of analysis as well as on the software. In the present study, a detailed three-dimensional finite element formulation is presented for the analysis of laterally loaded piles in sloping ground developing the 18 node triangular prism elements. An application of the numerical formulation has been illustrated for the pile located at the crest of the slope and for the pile located at some edge distance from the crest. The specific examples show that at any given depth, the displacement and bending moment increase with an increase in slope of the ground, whereas they decrease with increasing edge distance.

A Study on the Fabrication of Porous Nickel Substrates (다공성 니켈지지체의 제조에 관한 연구)

  • 신동엽;조원일;백지흠;조병원;강탁;윤경석
    • Journal of the Korean institute of surface engineering
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    • v.28 no.3
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    • pp.123-132
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    • 1995
  • While a nickel mesh and an expanded nickel sheet are used as current collectors for supporting active anode materials in rechargeable batteries, a porous nickel substrate is studied extensively for its 3-dimensional structure which has high capabilities for active materials and current collection. Optimum plating conditions were studied by polarization measurement. Scanning Electron Microscopy (SEM) showed that both electroless-and electro-plated nickel on an urethane substrate were highly porous and consisted of nearly spherical pores. The diameter and the channel size of the pores were found to be 300~500 $\mu\textrm{m}$ and 50~200$\mu\textrm{m}$, respectively. The shape of skeleton resembled a triangular prism with length extending about 50~100 $\mu\textrm{m}$.

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Development of Ultrasound Phantom for Volume Calibration (부피 측정을 위한 초음파 팬텀 개발)

  • Kim, Hye-Young;Lee, Ji-Hae;Lee, Kyung-Ja;Suh, Hyun-Suk;Lee, Re-Na
    • Progress in Medical Physics
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    • v.19 no.4
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    • pp.227-230
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    • 2008
  • The purpose of this study was to design and construct an ultrasound phantom for volume calibration and evaluate the volume measurement accuracy of a 2 dimensional ultrasonic system. Ultrasound phantom was designed, constructed and tested. The phantom consisted of a background material and a target. The background was made by mixing agarose gel with water. A target, made with an elastic material, was filled with water to vary its volume and shape and inserted into background material. To evaluate accuracy of a 2 dimensional ultrasonic system (128XP, ACUSON), three different shapes of targets (a sphere, 2 ellipsoids and a triangular prism) were constructed. In case of ellipsoid shape, two targets, one with same size length and width (ellipsoid 1) and another with the length 2 times longer than width (ellipsoid 2) were examined. The target volumes of each shape were varied from 94cc to 450cc and measurement accuracy was examined. The volume difference between the real and measured target of the sphere shape ranged between 6.7 and 11%. For the ellipsoid targets, the differences ranged from 9.2 to 10.5% with ellipsoid 1 and 25.7% with ellipsoid 2. The volume difference of the triangular prism target ranged between 20.8 and 35%. An easy and simple method of constructing an ultrasound phantom was introduced and it was possible to check the volume measurement accuracy of an ultrasound system.

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Petrology of Jurassic Granitoids in the Hamyang-Geochang Area, Korea (함양(咸陽)-거창(居昌) 지역(地域), 쥬라기 화강암류(花崗岩類)의 암석학적(岩石學的) 연구(硏究))

  • Lee, Cheol-Lag;Lee, Yoon-Jong;Hayashi, Masao
    • Economic and Environmental Geology
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    • v.25 no.4
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    • pp.447-461
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    • 1992
  • The Jurassic granitoids in the study area are divided into the "Gneissose granodiorite" and the "Daebo granodiorite" (1 : 250,000 Jeonju Geological map, 1973). The term of Geochang granodiorite was used in this study instead of "Daebo granodiorite". These granitoids were studied in terms of microscopic observation, petrochemistry, and zircon morphology. The granitoids are mostly granodiorite. Two kinds of progressive variation can also be recognized in the modal quartz~alkali feldspar~plagioclase triangular diagram; the Gneissose granodiorite is in accordance with the trondhjemitic (low k) trend, and the Geochang granodiorite with the granodioritic trend (medium k). The granitoids belong to the calc-alkaline series, and are classified into the I-type (magnetite series). Plagioclase ($An_{25.1}{\sim}An_{30.9}$) in the granitoids shows generally an oligoclase composition. Biotite has a wider range in (Si, Al) solution than in (Fe, Mg) solid solution. Hornblende occurs in a few thin sections of the Geochang granodiorite, and is plotted in the tschermakite field. The zircon prism shows a long variation between the {110} dominant type and the {100} dominant type in the Geochang granodiorite, but only the {110}={100} type in the Gneissose granodiorite. However, zircon crystals in the granitoids are mostly crystallized in a low-to-medium temperature magma. In the PPEF (Prism- Pyramid-Elongation-Flatness) diagram, the Gneissose granodiorite shows a closed scissors type, the Geochang granodiorite, a opened scissors type. It indicates that the Geochang granodiorite might originate from the mixed magma with crustal materials or pre-existed residual magma which had formed the Gneissose granodiorite.

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Numerical Simulation of Wind Pressures on a High-rise Building by Auto-mesh System

  • Tang, Yuanzhe;Cao, Shuyang
    • International Journal of High-Rise Buildings
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    • v.8 no.4
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    • pp.255-264
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    • 2019
  • This paper describes large eddy simulation of wind pressures on a square cylinder in a uniform flow and a high-rise building immersed in an atmospheric turbulent boundary layer. For the atmospheric boundary layer case, the inflow turbulence is generated by a numerical wind tunnel. In the numerical simulation, particular attention is devoted to the performance of an auto hexahedral non-structural mesh. Both simulations are performed for three grid systems: an auto hexahedral non-structured grid, a structured Cartesian grid and a non-structured triangular prism grid, and for three grid numbers. The present study shows that the auto hexahedral unstructured mesh achieves the best simulation results for wind pressures on the square cylinder and the high-rise building. When the grid number is sufficiently large, the differences among the results obtained from the three investigated grid systems are not significant. However, the advantage of the auto hexahedral unstructured mesh becomes clear when the grid number decreases, because it enables a balanced distribution of orthogonal grids. The results described in this paper demonstrate that the auto hexahedral non-structured mesh has good potential applicability to simulation of urban flows.

A Design of Teaching Unit to Foster Secondary Pre-service Teachers' Mathematising Ability: Inquiry into n-volume of n-simplex (예비중등교사의 수학화 능력을 신장하기 위한 교수단원의 설계: n-단체(simplex)의 n-부피 탐구)

  • Kim Jin-Hwan;Park Kyo-Sik
    • School Mathematics
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    • v.8 no.1
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    • pp.27-43
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    • 2006
  • The objective of this paper is to design teaching units to foster secondary pre-service teachers' mathematising abilities. In these teaching units we focus on generalizing area of a 2-dimensional triangle and volume of a 3-dimensional tetrahedron to n-volume of n-simplex In this process of generalizing, principle of the permanence of equivalent forms and Cavalieri's principle are applied. To find n-volume of n-simplex, we define n-orthogonal triangular prism, and inquire into n-volume of it. And we find n-volume of n-simplex by using vectors and determinants. Through these teaching units, secondary pre-service teachers can understand and inquire into n-simplex which is generalized from a triangle and a tetrahedron, and n-volume of n-simplex which is generalized from area of a triangle and volume of a tetrahedron. They can also promote natural connection between school mathematics and academic mathematics.

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