• 제목/요약/키워드: geometric effect

검색결과 1,019건 처리시간 0.025초

증명보조카드를 활용한 중학생의 증명지도에 관한 연구 (A Study on Teaching Mathematical Proofs of the Middle School Students Using the 'Poof Assisted Cards')

  • 조정수;이정자
    • 한국학교수학회논문집
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    • 제9권4호
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    • pp.521-538
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    • 2006
  • 본 연구는 중학교 2학년 기하증명에서 증명보조카드를 제시하는 증명지도방법을 통해 학생들의 기하증명 능력과 기하증명에 대한 수학적 태도 변화를 조사한 것이다. 대구광역시 D중학교 2학년 학생들을 대상으로 5차시 동안 증명보조카드를 이용한 수업 후 수준별 학생 7명을 선정하여 이 학생들이 작성한 학습지와 증명보조카드를 사용하기 전과 후의 변화를 중점으로 인터뷰를 하였다. 이렇게 수진된 자료의 분석에 의한 본 연구의 결론은 증명보조카드를 이용한 증명활동을 통해 학생들의 기하증명에 대한 능력 변화가 있었으며, 증명보조카드를 이용한 증명활동을 통해 기하증명에 대한 수학적 태도의 변화가 있었다.

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Determination of structural behavior of Bosporus suspension bridge considering construction stages and different soil conditions

  • Gunaydin, Murat;Adanur, Suleyman;Altunisik, Ahmet Can;Sevim, Baris;Turker, Emel
    • Steel and Composite Structures
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    • 제17권4호
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    • pp.405-429
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    • 2014
  • In this paper, it is aimed to determine the structural behavior of suspension bridges considering construction stages and different soil conditions. Bosporus Suspension Bridge connecting the Europe and Asia in Istanbul is selected as an example. Finite element model of the bridge is constituted using SAP2000 program considering existing drawings. Geometric nonlinearities are taken into consideration in the analysis using P-Delta large displacement criterion. The time dependent material strength of steel and concrete and geometric variations is included in the analysis. Time dependent material properties are considered as compressive strength, aging, shrinkage and creep for concrete, and relaxation for steel. To emphases the soil condition effect on the structural behavior of suspension bridges, each of hard, medium and soft soils are considered in the analysis. The structural behavior of the bridge at different construction stages and different soil conditions has been examined. Two different finite element analyses with and without construction stages are carried out and results are compared with each other. At the end of the analyses, variation of the displacement and internal forces such as bending moment, axial forces and shear forces for bridge deck and towers are given in detail. Also, displacement and stresses for bridge foundation are given with detail. It can be seen from the analyses that there are some differences between both analyses (with and without construction stages) and the results obtained from the construction stages are bigger. It can be stated that the analysis without construction stages cannot give the reliable solutions. In addition, soil condition have effect on the structural behavior of the bridge. So, it is thought that construction stage analysis using time dependent material properties, geometric nonlinearity and soil conditions effects should be considered in order to obtain more realistic structural behavior of suspension bridges.

교구를 활용한 중학교 공간능력 향상을 위한 수업에서 학습의 효과 (An Effect of Students' Learning for Spatial Ability Using a Geometric Manipulative)

  • 고상숙;정인철;박만구
    • 한국수학교육학회지시리즈A:수학교육
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    • 제48권1호
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    • pp.1-20
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    • 2009
  • The study was to investigate an effect of students' learning for enhancing spatial ability, using a geometric manipulative recently designed. A mixed methodology was chosen to achieve the purpose of the study. To find students' achievement, 152 of the 8th graders in Kyunggi Do participated in data collection. At the same time. students' performance of the class was videotaped and analyzed to see students' responses, The results showed that the effect of using the manipulative was statistically significant at level, p<.05 to enhance the spatial ability. Specifically, in comparison of each component. spatial orientation was more effective than spatial visualization. In the spatial orientation, the part of field was more effective than the reorganized whole. It showed that students were given more opportunities to find mathematical properties and relations between 2nd and 3rd-dimensional figures through their intuitive observation, and also the manipulative helped the students find the property of the part of field because it gave an easy way to manipulate the property of the find parts of whole which was composed of the frame of the solid figures without surfaces. In using the manipulative, students were very flexible in finding the number of plane figures, but the relations between the 2nd and 3rd dimensional figures need to be clearly guided in consideration of the characteristics of the manipulative, based on the definitions of geometric properties(cf. points can make lines, not surfaces directly).

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Axially-loaded multiplanar tubular KTX-joints: numerical analysis

  • Zhang, Chenhui;Zou, Bo;Yang, Guotao
    • Steel and Composite Structures
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    • 제42권2호
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    • pp.173-190
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    • 2022
  • With the development of spatial structures, the joints are becoming more and more complex to connect tubular members of spatial structures. In this study, an approach is proposed to establish high-efficiency finite element model of multiplanar KTX-joint with the weld geometries accurately simulated. Ultimate bearing capacity the KTX-joint is determined by the criterion of deformation limit and failure mechanism of chord wall buckling is studied. Size effect of fillet weld on the joint ultimate bearing capacity is preliminarily investigated. Based on the validated finite element model, a parametric study is performed to investigate the effects of geometric and loading parameters of KT-plane brace members on ultimate bearing capacity of the KTX-joint. The effect mechanism is revealed and several design suggestions are proposed. Several simple reinforcement methods are adopted to constrain the chord wall buckling. It is concluded that the finite element model established by proposed approach is capable of simulating static behaviors of multiplanar KTX-joint; chord wall buckling with large indentation is the typical failure mode of multiplanar KTX-joint, which also increases chord wall displacements in the axis directions of brace members in orthogonal plane; ultimate bearing capacity of the KTX-joint increases approximately linearly with the increase of fillet weld size within the allowed range; the effect mechanism of geometric and loading parameters are revealed by the assumption of restraint region and interaction between adjacent KT-plane brace members; relatively large diameter ratio, small overlapping ratio and small included angle are suggested for the KTX-joint to achieve larger ultimate bearing capacity; the adopted simple reinforcement methods can effectively constrain the chord wall buckling with the design of KTX-joint converted into design of uniplanar KT-joint.

폐합 전 강사장교의 안정성 해석 (Stability Analysis of Steel Cable-stayed Bridges under Construction Stage)

  • 김승준;심경석;원덕희;조선규;강영종
    • 한국강구조학회 논문집
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    • 제23권1호
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    • pp.99-111
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    • 2011
  • 본 연구에서는 비선형 해석을 통하여 폐합 전 강사장교의 주요한 좌굴 거동 특성을 고찰한다. 케이블의 새그효과, 주탑과 거더의 P-${\Delta}$ 효과, 구조물의 대변위효과 등의 주요한 기하학적 비선형성을 모두 고려하기 위해 기하학적 비선형 해석으로써 구조물의 좌굴 해석을 수행하였다. 초기형상 해석 및 시공단계 해석을 통해 사하중을 받고 있는 시공 단계에 있는 구조물의 해석을 수행하였고 이 후 데릭 크레인과 키 세그먼트의 자중에 대한 비선형 해석으로 폐합 전 사장교의 좌굴 해석을 수행하였다. 본 해석 연구에서는 케이블의 배치 형태 및 주탑과 거더간 강성비에 따른 좌굴 모드 및 임계 하중계수의 변화를 분석하였다. 연구 결과 주요한 좌굴 모드를 구분하고 케이블 배치 형식이 다른 각 사장교에서 각 좌굴 모드가 나타나는 주탑과 거더간 강성비의 범위를 도출하였다.

카메라기반의 왜곡이 보정된 흑백 문서 영상 생성 (Distortion Corrected Black and White Document Image Generation Based on Camera)

  • 김진호
    • 한국콘텐츠학회논문지
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    • 제15권11호
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    • pp.18-26
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    • 2015
  • 스캐너 대신 카메라를 이용하여 문서의 사본 영상을 촬영하면 촬영 각도에 따라 기하학적 왜곡이 발생하거나 그림자가 생길 수 있다. 본 논문에서는 카메라로 촬영한 문서 영상으로부터 왜곡을 보정하고 그림자 영향을 제거한 흑백 문서 영상 생성 알고리즘을 제안하였다. 카메라 렌즈의 방사 왜곡으로 인해 휘어진 테두리를 펴거나 촬영 각도에 따라 유입된 문서 외부 영역을 제거하기 위한 기하학적 보정을 위해 2차 미분 필터 기반의 문서 테두리 검출 방안을 마련하였다. 그리고 적응적 이진화 방법으로 그림자를 제거한 흑백 문서 영상을 생성하였다. 제안한 왜곡 보정 흑백 문서 영상 생성 알고리즘을 스마트 폰 카메라로 촬영한 문서 영상들을 대상으로 실험한 결과 우수한 처리 결과를 얻을 수 있었다.

신체에 표현된 기하학적 형태에 관한 연구 -바디아트 중심으로- (Study on Geometric Figures on Body -Body Art-)

  • 임미연
    • 한국의상디자인학회지
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    • 제5권2호
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    • pp.75-91
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    • 2003
  • This study analyzed descriptions about dots, lines, and sides which are used as a basic elements to express geometric figures as followings: -In the aspect of formative art, dots form images and feelings through their concurrence when make a slight move to coordinates. The concurrence can bring out either positive or negative images; -Lines have unlimited variation as a core measure in body art. They can make optimal effects with different lines such as straight and curved lines of human body; -Sides express not only effects of texture and perspective but also of space and solid by color effects. Expressive characteristics and geometric shapes can be classified by tattoo, henna and body painting: First, colorful tattoos are favored by Caucasian and original tattoos are mostly used by yellow and colored races in the way of scarification to get decorative effects. Recently, a rapid cycle of fashion change in tattoo figures has developed a tentative method of tattooing and a variety of decoration methods. It has made it a lot easier to change a pattern of a tattoo. Tattoos are now popular among people because they no longer have to suffer from pains when they get their body tattooed for a long time. Since tattoos boast their unique beauty which consists of most dynamic and attractive images among the types of body art. It will be one of the most favored make-up methods in the nearest future. Second, geometric designs used in henna include crosses, dots, straight lines, triangles, date palms, and so on. Henna has been particularly loved as an instant decoration by the public since it gradually disappears as time goes on. Third, body painting enables to draw a three-dimensional effect because of its close relation with body movements in a limited space. Each individual will have a different feeling appealed in their body painting. Body painting has been applied to many different areas, especially to theatrical art using lights, music and performance altogether producing impromptu and experimental works. Unlike other arts such as painting, sculpture, visual and industrial arts, body painting has mobility. Since it is painted on a three-dimensional human body, it can bear originality expressing realistic objects or animals and strengthen creative functions using body lines. Moreover, geometric designs can be diversified by the sexes. As a result of analysis, geometric designs expressed in body art seemed to transcend expressions of beauty and turned out to be another way of decoration. Body art has also been used as a way to express visual integration and consolidation dynamically not by human instinct but by social changes. The needs for body art will grow as the future comes nearer and be recognized as a new and fresh value. Formative elements of geometric figures deliver visual impressions combined with human body and finally create more various types of body art in harmony of body lines.

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형상변화에 따른 초저온 공온식 기화기의 열전달 효과 (The Effect on the Heat Transfer According to Geometric Variation of Air-Fin Vaporizer with at Cryogenic Temperature)

  • 이상철;신유식;배강열;정효민;정한식
    • 대한기계학회논문집B
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    • 제31권7호
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    • pp.581-587
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    • 2007
  • At present time, LNG demand of the world is increasing and the piping line for NG transportation has been already installed in Korea. The air fm vaporizer is, however, required because of the transportation for remotely local areas. This paper numerically investigates on the heat transfer characteristics of relevant geometric variations of air-fin vaporizer which is heated by air not by sea water. This vaporizer must be designed in consideration of both efficiency and economics because air is relatively a little heat source. In this study, the pipe and the longitudinal fins are fundamental geometric considerations. Main parameters of geometry are the number, the thickness, and the length of the fins. Finally, the results of heat transfer effects are investigated with the characteristics of each parameter variation.