• 제목/요약/키워드: Dynamic geometry

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GSP를 사용한 비유클리드 원판모델 학습에서 나타난 중학교 수학 영재들의 평행선에 관한 인식 및 언어 표현 방식 분석 (Analysis on Mathematically Gifted Middle School Students' Characteristic of Mathematical Thinking and Verbal Expression in the Study of Parallel Lines in Non-Euclidean Disc Model using Dynamic Geometry Software)

  • 홍성관
    • 대한수학교육학회지:수학교육학연구
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    • 제23권1호
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    • pp.53-74
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    • 2013
  • 본 논문에서는, 주어진 컴퓨터 작도 도구와 측정 도구를 이용하여 원판의 내부에 물리적 실험을 통하여 비유클리드 기하학에서 주어진 쌍곡직선 밖의 점을 지나는 어떤 쌍곡직선이 주어진 직선과 평행이 될 필요충분조건을 탐구하는 과정에서 나타나는 중학교 수학 영재들의 사고 특성과 언어 표현 방식의 특성을 분석하였다. 중학교 수학 영재들이 실험과 귀납적 사고를 통하여 자신이 경험하지 않은 새로운 기하학적 사실을 획득하고 그를 언어로 표현하는 방식을 살펴봄으로써, 기하 개념의 형성과 발달 과정에 대한 시사점을 얻을 수 있을 것으로 생각된다.

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자동차용 강판의 겹치기 $CO_2$ 레이저 용접에서 용접속도와 판재간격에 따른 용접특성 연구 (Effects of the Gap and the Speed on the Lap-Joint $CO_2$ Laser Welding of Automotive Steel Sheets)

  • 이경돈;박기영;김주관
    • Journal of Welding and Joining
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    • 제20권4호
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    • pp.510-516
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    • 2002
  • Recently the laser welding technology has been applied increasingly for the automotive bodies. But the lap joint laser welding for 3 dimensional automotive body is new while the butt joint laser welding is well known as the tailored blank technology. In this study, the process window was found for the full penetration welding of the lap joint of the 1mm-thick high strength steel sheets. The limit curves and characteristic curves were suggested to define the boundaries and the contour lines in a space of the welding speed and the gap size. The characteristics of the weld sectional geometry were used to determine the limit curves. They are bead width, penetration depth and sectional area. After the observed data was analysed carefully, it was noticed that there was a transition point at which the sectional shape was changed and the bead area jumped as the welding speed was increased. Also a new concept of 'input energy Per volume' was suggested to distinguish the difference at the transition Point. The difference of sectional areas at the transition point can be related to the dynamic keyhole phenomena.

Structural analysis and optimization of large cooling tower subjected to wind loads based on the iteration of pressure

  • Li, Gang;Cao, Wen-Bin
    • Structural Engineering and Mechanics
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    • 제46권5호
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    • pp.735-753
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    • 2013
  • The wind load is always the dominant load of cooling tower due to its large size, complex geometry and thin-wall structure. At present, when computing the wind-induced response of the large-scale cooling tower, the wind pressure distribution is obtained based on code regulations, wind tunnel test or computational fluid dynamic (CFD) analysis, and then is imposed on the tower structure. However, such method fails to consider the change of the wind load with the deformation of cooling tower, which may result in error of the wind load. In this paper, the analysis of the large cooling tower based on the iterative method for wind pressure is studied, in which the advantages of CFD and finite element method (FEM) are combined in order to improve the accuracy. The comparative study of the results obtained from the code regulations and iterative method is conducted. The results show that with the increase of the mean wind speed, the difference between the methods becomes bigger. On the other hand, based on the design of experiment (DOE), an approximate model is built for the optimal design of the large-scale cooling tower by a two-level optimization strategy, which makes use of code-based design method and the proposed iterative method. The results of the numerical example demonstrate the feasibility and efficiency of the proposed method.

차세대 터보프롭 항공기용 복합재 최신 프로펠러 설계 및 해석 (The Design and Analysis of Composite Advanced Propeller Blade for Next Generation Turboprop Aircraft)

  • 최원;김광해;이원중
    • 한국유체기계학회 논문집
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    • 제15권6호
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    • pp.11-17
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    • 2012
  • The one way fluid structure interaction analysis on advanced propeller blade for next generation turboprop aircraft. HS1 airfoil series are selected as a advanced propeller blade airfoil. Adkins method is used for aerodynamic design and performance analysis with respect to the design point. Adkins method is based on the vortex-blade element theory which design the propeller to satisfy the condition for minimum energy loss. propeller geometry is generated by varying chord length and pitch angle at design point. Blade sweep is designed based on the design mach number and target propulsion efficiency. The aerodynamic characteristics of the designed Advanced propeller were verified by CFD(Computational Fluid Dynamic) and showed the enhanced performance than the conventional propeller. The skin-foam sandwich structural type is adopted for blade. The high stiffness, strength carbon/epoxy composite material is used for the skin and PMI(Polymethacrylimide) is used for the foam. Aerodynamic load is calculated by computational fluid dynamics. Linear static stress analysis is performed by finite element analysis code MSC.NASTRAN in order to investigate the structural safety. The result of structural analysis showed that the design has sufficient structural safety. It was concluded that structural safety assessment should incorporate the off-design points.

승용디젤엔진 EGR 및 VGT 제어시스템의 동적특성을 고려한 Decoupler 설계 연구 (Dynamic Decoupler Design for EGR and VGT Systems in Passenger Car Diesel Engines)

  • 홍승우;박인석;손정원;선우명호
    • 한국자동차공학회논문집
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    • 제22권2호
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    • pp.182-189
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    • 2014
  • This paper proposes a decoupler design method to reduce interaction between exhaust gas recirculation (EGR) and variable geometry turbocharger (VGT) systems in passenger car diesel engines. The EGR valve and VGT vane are respectively used to control air-to-fuel ratio (AFR) of exhaust gas and intake pressure. A plant model for EGR and VGT systems is defined by a first order transfer function plus time-delay model, and the loop interaction between these systems is analyzed using a relative normalized gain array (RNGA) method. In order to deal with the loop interaction, a design method for simplified decoupler is applied to this study. Feedback control algorithms for AFR and intake pressure are composed of a compensator using PID control method and a prefilter. The proposed decoupler is evaluated through engine experiment, and the results successfully showed that the loop interaction between EGR and VGT systems can be reduced by using the proposed decoupler. Furthermore, it presents stable performance even off from the designed operating point.

전복 안전성 향상을 위한 고속 버스 차체 개발 프로세스에 관한 연구 (A Study for Developing Process of a Bus Body Structure for the Rollover Safety)

  • 박재우;박종찬;유승원
    • 한국자동차공학회논문집
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    • 제18권2호
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    • pp.31-38
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    • 2010
  • Bus manufacturers have tested and studied the dynamic collapse behavior of a bus body structure in rollover since UN ECE established ECE Regulation 66 to provide the requirement for the strength of bus structure. In spite of the costly cycles of practical tests, however, it is still a hard task to meet the rollover regulation by means of local reinforcements in the bus structure. Therefore it is necessary to develop a well designed strategy for the rollover strength implemented in the early stage of vehicle development. In this study, the suitable development method for each design stage from a component to complete body structure was considered to make a well-established development process of a bus body structure for rollover safety. For the efficient approach of the concept design stage, a numerical model based on the plastic hinge theory was used instead of detailed shell models. After setting up the concept design for the component size and geometry, the shell model was used to confirm and optimize the whole structure composition. The process developed in this study was practically used as an effective method to predict the rollover behavior of a new bus body structure.

Resin Chock 교반기용 임펠러가 달린 축의 진동해석 (Vibration Analysis of Shaft with Impeller for Resin Chock Mixing Machine)

  • 홍도관;박진우;백황순;안찬우
    • 대한기계학회논문집A
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    • 제32권11호
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    • pp.970-977
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    • 2008
  • This paper deals with the dynamic characteristics of the shaft with impeller model which is the most important part in developing the resin mixing machine. Through reverse engineering, it is possible to make the shaft with impeller geometry model which is necessary vibration characteristic analysis by commercial impeller. The natural frequency analysis and structural analysis using finite element analysis software are performed on the imported commercial shaft with impeller model. The most important fundamental natural frequency of the shaft with impeller model is around 14.5 Hz, which well agrees with modal testing. The most effective design variables were extracted by ANOM(analysis of means) and pareto chart. This paper presents approximation 2nd order polynomial as design variables using RSM(response surface methodology). Generally, RSM take 2 or 3 design variables, but this method uses 5 design variables with table of mixed orthogonal array. Further more, the analyzed result of the commercial shaft with impeller is to be utilized for the structural design of resin chock mixing machine.

동심원내에서 진동하는 내부 실린더에 작용하는 유체유발력의 근사적 해법 (An Approximate Analytical Method for Hydrodynamic Forces on Oscillating Inner Cylinder in Concentric Annulus)

  • 심우건
    • 소음진동
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    • 제7권5호
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    • pp.861-869
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    • 1997
  • An approximate analytical method has been developed for estimating hydrodynamic forces acting on oscillating inner cylinder in concentric annulus. When the rigid inner cylinder executes translational oscillation, fluid inertia and damping forces on the oscillating cylinder are generated by unsteady pressure and viscous skin friction. Considering the dynamic-characteristics of unsteady viscous flow and the added mass coefficient of inviscid fluid, these hydrodynamic forces including viscous effect are dramatically simplified and expressed in terms of oscillatory Reynolds number and the geometry of annular configuration. Thus, the viscous effect on the forces can be estimated very easily compared to an existing theory. The forces are calculated by two models developed for relatively high and low oscillatory Reynolds numbers. The model for low oscillatory Reynolds number is suitable for relatively high ratio of the penetration depth to annular space while the model for high oscillatory Reynolds number is applicable to the case of relatively low ratio. It is found that the transient ratio between two models is approximately 0.2~0.25 and the forcea are expressed in terms of oscillatory Reynolds number, explicity. The present results show good agreements with an existing numerical results, especially for high and low penetration ratios to annular gap.

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저온 분사 적층과 절삭가공을 이용한 금형보수 사례연구 (Repair of Mold by Cold Spray Deposition and Mechanical Machining)

  • 강혁진;정우균;추원식;안성훈
    • 한국정밀공학회지
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    • 제23권7호
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    • pp.101-107
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    • 2006
  • Cold gas dynamic spray or cold spray is a novel manufacturing method for coatings. Cold spray is a high rate and direct material deposition process that utilizes the kinetic energy of particles sprayed at high velocity (300-1,200m/s). In this research, a technique to repair the damaged mold by cold spray deposition and mechanical machining was proposed. An aluminum 6061 mold with three-dimensional surface was fabricated, intentionally damaged and material-added by cold spray, and its original geometry was re-obtained successfully by Computer Numerical Control (CNC) machining. To investigate deformation of material caused by cold spray, deposition was conducted on thin aluminum plates ($100mm{\times}100mm{\times}3mm$). The average deformation of the plates was $205{\sim}290{\mu}m$ by Coordinate Measurement Machine (CMM). In addition, the cross section of deposited layer was analyzed by scanning electron microscopy (SEM). To compare variation of hardness, Vickers hardness was measured by micro-hardness tester.

세포 운동 가시화를 통한 상처 치유 과정 내 경계 이동의 규명 (Identification of boundary migration during the wound healing through the visualization of cell migrations)

  • 정현태;이재성;신현정
    • 한국가시화정보학회지
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    • 제18권2호
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    • pp.10-17
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    • 2020
  • The curvature of wound boundaries has been identified as a key modulator that determines a type of force responsible for cell migration. While several studies report how certain curvatures of the boundary correlate with the rate at which the wound closes, it remains unclear how these curvatures are spatiotemporally formed to regulate the healing process. We investigated the dynamic changes in the boundary curvatures by visualizing cell migration patterns. Locally, cells at the convex boundary continuously move forward with transmitting kinetic responses behind to the cells away from the boundary, and cells at the concave boundary exhibit dramatic contracting motion, like a purse-string, when they accumulate enough negative curvatures to gain the thrust toward the void. Globally, the dynamics of boundary geometries are controlled by the diffusive flow of cells driven by the density gradient between the wound area and the cell layer.