• Title/Summary/Keyword: Geometrical Figure

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Analysis of Hydroforming Process for an Automobile Lower Arm by Using Explicit and Implicit FEM (외연적과 내연적 유한요소법에 의한 자동차 로어암의 하이드로포밍 공정해석)

  • Kim, Jeong;Choi, Han-Ho;Kang, Beom-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.9
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    • pp.74-81
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    • 2002
  • Recently tube hydroforming has been widely applied to the automotive industries due to its several advantages over conventional methods. In this paper, attention is paid to comparison of an implicit and an explicit finite element method widely used for numerical simulation of a hydroforming process. For an explicit FEM, a huge amount of computational time is required because of the very small time increment to solve a quasi-static problem. Hence, when an explicit FEM is used fDr a hydroforming process, it is general to convert the real problem to a virtual problem with a different processing time and mass density by appropriate scaling factor. However it is difficult to figure out how large the scaling should be adopted enough to ignore the dynamic effects and maintain the desired accuracy. In this paper, the comparison of the results obtained from both methods focus on the accuracy of the predicted geometrical shape and the stress with various scaling factors which are applied to analyze hydroforming process of an automobile lower arm.

Formative Characteristics of Women's Shoes Design Utilizing 3D Printing Technology (3D 프린팅 기술이 접목된 여성 슈즈 디자인의 조형적 특성)

  • Kim, Young-Sam;Jun, Yuh-Sun;Park, keun-Jung;Kim, Jang-Hyeon
    • Journal of the Korean Society of Costume
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    • v.66 no.8
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    • pp.14-32
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    • 2016
  • This study examines the morphological expression type and formative characteristics of women's shoes designs that integrate 3D printing technology. The results of the study are as follows. First, the morphological expression types of contemporary shoes that integrate 3D printing technology express a structural form created by repetition. Second, it expresses a dynamic form, which combines organic curves that create an external volume. Third, it expresses a surrealistic form centered on an object with the creation of a unique shape that utilizes objects easily experienced in local surroundings. Fourth, it expresses a hybrid form on a partial derivation. Each of the other system's components are fused to create another beauty that develops a new value in a colorful variation on the shape of 3D printing shoes. The first formative characteristic of women's shoes designs that integrate 3D printing technology is continuity. This creates an invisible form of a new space through repetitive unidirectional layers with a gradual expansion of a unitary seamless curves. Second, it is an exaggeration. This exaggeration elicits an enormous aesthetic quality by structuring the outward space in the difference of the volume formed based on the maximization of a specific part and the volume of a line's atypical movement. Third, it is a decoration. It displays the beauty of a decoration that evokes a unique artistic inspiration by partial unification or a practical representation of a specific form. This can also be seen as superimposing a 3D printing figure that has an outstanding shape onto part of the fashion shoes. Fourth, it concerns a geometrical characteristic that formulates a new structure with rationality in combining basic shapes such as circles, triangles and squares with lines, hexagons and interconnected geometrical forms to create a multi-dimensional space for shoes in a systematic and unidirectional pattern.

The Effects of Number-Related Fairy Tales on Young Children's Mathematical Inquiry Skills (수 관련 동화가 유아의 수리 탐구 능력에 미치는 효과)

  • Lim, Soon Hwa;Kwon, Eun Ju
    • Korean Journal of Childcare and Education
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    • v.1 no.1
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    • pp.37-58
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    • 2005
  • The purpose of this study was to examine whether or not the use of number-related fairy tales had any effects on young children's mathematical inquiry skills in a bid to help facilitate their development of mathematical capabilities. The subjects in this study were 30 preschoolers who were four years old in Western age and attended G kindergarten in Jung-gu, Ulsan. The instrument used to assess their mathematical inquiry skills was Choi Hye-jin(2003)'s Preschooler Math Capability Inventory. The collected data wee analyzed with SPSS Win 11.5 program, and analysis of covariance was utilized. The findings of the study were as follows: The application of number-related fairy tales turned out to be effective in developing the young children's abilities to figure out the regularity of things, conception of number, geometrical abilities, measurement abilities and mathematical inquiry skills of the preschoolers. The above-mentioned findings suggested that the application of number-related fairy tales was one of good teaching methods to step up the development of young children's mathematical inquiry skills. Specifically, that could inner motivation to preschoolers in mathematical contexts and take their problem-solving skills to another level.

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Mathematically Gifted Students' Justification Patterns and Mathematical Representation on a Task of Spatial Geometry (수학영재들의 아르키메데스 다면체 탐구 과정 - 정당화 과정과 표현 과정을 중심으로 -)

  • Lee, Kyong-Hwa;Choi, Nam-Kwang;Song, Sang-Hun
    • School Mathematics
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    • v.9 no.4
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    • pp.487-506
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    • 2007
  • The aims of this study is figure out the characteristics of justification patterns and mathematical representation which are derived from 14 mathematically gifted middle school students in the process of solving the spatial tasks on Archimedean solid. This study shows that mathematically gifted students apply different types of justification such as empirical, or deductive justification and partial or whole justification. It would be necessary to pay attention to the value of informal justification, by comparing the response of student who understood the entire transformation process and provided a reasonable explanation considering all component factors although presenting informal justification and that of student who showed formalization process based on partial analysis. Visual representation plays an valuable role in finding out the Idea of solving the problem and grasping the entire structure of the problem. We found that gifted students tried to create elaborated symbols by consolidating mathematical concepts into symbolic re-presentations and modifying them while gradually developing symbolic representations. This study on justification patterns and mathematical representation of mathematically gifted students dealing with spatial geometry tasks provided an opportunity for understanding their the characteristics of spacial geometrical thinking and expending their thinking.

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Theory of Capillarity of Laplace and birth of Mathematical physics (라플라스 모세관이론과 수학물리학의 태동)

  • Lee, Ho-Joong
    • Journal for History of Mathematics
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    • v.21 no.3
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    • pp.1-30
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    • 2008
  • The success of Newton's Gravitational Theory has influenced the theory of capillarity, beginning in the early nineteenth century, by providing a major model of molecular attraction. He used the equation of the attraction of spheroids, which is expressed by second order partial differential equations, to utilize this analogy as the same kind of a particle's force, between gravitational, refractive force of light, and capillarity. The solution of the differential equation corresponds to the geometrical figure of the vessel and the contact angle which is made by the fluid. Unknown abstract functions $\varphi(f)$ represent interaction forces between molecules, giving their potential functions. By conducting several kinds of experimental conditions, it was found that the height of the ascending fluid in the tube is inversely proportional to the rayon of the tube or the distance of the plate. This model is an essential element in the theory of capillarity. Laplace has brought Newtonian mechanics to completion, which relates to the standard model of gravitational theory. Laplace-Young's equation of capillarity is applicable to minimal surfaces in mathematics, to surface tensional phenomena in physics, and to soap bubble experiments.

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An Investigation on Flow Stability with Damping of Flow Oscillations in CANDU-6 heat Transport System (CANDU-6 열수송 계통의 유동 진동감쇠에 의한 유동안정성 연구)

  • 김태한;심우건;한상구;정종식;김선철
    • Journal of KSNVE
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    • v.6 no.2
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    • pp.163-177
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    • 1996
  • An investigation on thermohydraulic stability of flow oscillations in the CANada Deuterium Uranium-600(CANDU-6) heat transport system has been conducted. Flow oscillations in reactor coolant loops, comprising two heat sources and two heat sinks in series, are possibly caused by the response of the pressure to extraction of fluid in two-phase region. This response consists of two contributions, one arising from mass and another from enthalpy change in the two-phase region. The system computer code used in the investigation os SOPHT, which is capable of simulating steady states as well as transients with varying boundary conditions. The model was derived by linearizing and solving one-dimensional, homogeneous single- and two-phase flow conservation equations. The mass, energy and momentum equations with boundary conditions are set up throughout the system in matrix form based on a node-link structure. Loop stability was studied under full power conditions with interconnecting the two compressible two phase regions in the figure-of-eight circuit. The dominant function of the interconnecting pipe is the transfer of mass between the two-phase regions. Parametric survey of loop stability characteristics, i. e., damping ratio and period, has been made as a function of geometrical parameters of the interconnection line such as diameter, length, height and orifice flow coefficient. The stability characteristics with interconnection line has been clarified to provide a simple criterion to be used as a guide in scaling of the pipe.

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Fundamentals of Particle Fouling in Membrane Processes

  • Bhattacharjee Subir;Hong Seungkwan
    • Korean Membrane Journal
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    • v.7 no.1
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    • pp.1-18
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    • 2005
  • The permeate flux decline due to membrane fouling can be addressed using a variety of theoretical stand-points. Judicious selection of an appropriate theory is a key toward successful prediction of the permeate flux. The essential criterion f3r such a decision appears to be a detailed characterization of the feed solution and membrane properties. Modem theories are capable of accurately predicting several properties of colloidal systems that are important in membrane separation processes from fundamental information pertaining to the particle size, charge, and solution ionic strength. Based on such information, it is relatively straight-forward to determine the properties of the concentrated colloidal dispersion in a polarized layer or the cake layer properties. Incorporation of such information in the framework of the standard theories of membrane filtration, namely, the convective diffusion equation coupled with an appropriate permeate transport model, can lead to reasonably accurate prediction of the permeate flux due to colloidal fouling. The schematic of the essential approach has been delineated in Figure 5. The modern approaches based on appropriate cell models appear to predict the permeate flux behavior in crossflow membrane filtration processes quite accurately without invoking novel theoretical descriptions of particle back transport mechanisms or depending on adjust-able parameters. Such agreements have been observed for a wide range of particle size ranging from small proteins like BSA (diameter ${\~}$6 nm) to latex suspensions (diameter ${\~}1\;{\mu}m$). There we, however, several areas that need further exploration. Some of these include: 1) A clear mechanistic description of the cake formation mechanisms that clearly identifies the disorder to order transition point in different colloidal systems. 2) Determining the structure of a cake layer based on the interparticle and hydrodynamic interactions instead of assuming a fixed geometrical structure on the basis of cell models. 3) Performing well controlled experiments where the cake deposition mechanism can be observed for small colloidal particles (< $1\;{\mu}m$). 4) A clear mechanistic description of the critical operating conditions (for instance, critical pressure) which can minimize the propensity of colloidal membrane fluting. 5) Developing theoretical approaches to account for polydisperse systems that can render the models capable of handing realistic feed solutions typically encountered in diverse applications of membrane filtration.

Numerical Evaluation of Buckling Strength for High-Strength Corrugated Steel Structures (고강도 원형 지중강판 구조물의 좌굴성능에 대한 수치적 평가)

  • Choi, Dongho;Cho, Sunkyu;Park, Sangil;Moon, Eunkyung
    • Journal of the Korean GEO-environmental Society
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    • v.7 no.6
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    • pp.75-88
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    • 2006
  • This paper evaluates the feasibility of use of high-strength steel for soil-metal corrugated steel structures. Two specifications, the AASHTO(2004) and the CHBDC(2000), were compared and the scientific background of equations for the buckling stability in those specifications were investigated to figure out the governing factors for buckling strength of structures. Numerous finite element analyses for round-pipe type of soil-metal corrugated steel structures were carried out with considering the elastic-plastic relationship of a material and the geometrical non-linearity, as well as the various design variables, such as span length, depths of soil cover, section properties, tensile strength and backfill conditions. Buckling strength equation of the CHBDC(2000) is still valid and conservative for both normal and high-strength steel soil-metal corrugated steel structures, and the buckling strength increases with the use of hight-strengths steel.

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A Production of Orthophoto Map from Aerial Photos using Digital Photogrammetry Technique (수치사진측양기법(數値寫眞測量技法)에 의한 항공사진(航空寫眞)으로부터 정사투영사진지도(正射投影寫眞地圖)의 제작(製作))

  • Yeu, Bock-Mo;Lee, Hyun-Jik;Jeong, Soo;Jo, Hong-Sug
    • Journal of Korean Society for Geospatial Information Science
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    • v.2 no.1 s.3
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    • pp.73-80
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    • 1994
  • Most terrain information have been generally acquired by map. Because the map presents the real terrain, not by real figure but by contours, geometric figures, symbols, texts, and colors, it is not easy to interpret the real terrain by map. For this reason, aerial photos or terrestrial photos also have been used sometimes in the terrain analysis. But photos have geometrical displacement caused by the position of camera at the exposition time and the relief of the object. So, for accurate posional analysis, orthophoto maps produced by optical rectifier have been used. But, it is hard to produce orthophoto map by optical rectifier and the process is so slow. This study aims to present an accurate and rapid method to produce orthophoto map by generating digital elevation model from stereo aerial photos on common computer using the digital photogrammetric technique and producing orthophoto map digitally using the digital elevation model.

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The Effects of Engineering Tools on Students' Math Academic Achievement and Math Learning Attitude in Middle School Mathematics Geometrical Unit (중학교 수학 기하 단원에서 공학적 도구 활용이 학생들의 수학 학업 성취도와 수학 학습 태도에 미치는 효과)

  • Park, Rae-Seong;Kwon, Jong-Kyum;Lee, Dong-Yub
    • Journal of Digital Convergence
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    • v.17 no.12
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    • pp.67-75
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    • 2019
  • This study was conducted to analyze the effects of mathematics classes using engineering tools on students' mathematics academic achievement and mathematics learning attitude, focusing on the basic figure and drawing sections of the first grade of middle school. Eighty students of first-grade at H Middle School in South Gyeongsang province were divided into two groups, taking a total of six weeks of classes using engineering tools(Algeomath) and traditional tools, and covariate analysis(ANCOVA) was used to analyze students' mathematics academic achievements and changes in mathematical learning attitude. The analysis found that classes using engineering tools were effective in students' mathematics academic achievements and attitude of learning math. Based on the results of the study, the necessity of utilizing various engineering tools in the future secondary school math class and the prospect and implications of the classes were discussed.