• Title/Summary/Keyword: Area of geometry

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Using Concrete-representational-abstract Integrated Sequence to Teach Geometry to Students who Struggle

  • Flores, Margaret
    • Research in Mathematical Education
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    • v.25 no.3
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    • pp.227-244
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    • 2022
  • The concrete-representational-abstract integrated (CRA-I) sequence is an explicit approach for teaching students who struggle in mathematics. This approach is beneficial because it assists students in the development of conceptual understanding. This article describes how the approach is used in general as well as its use with a specific geometry concept, area of a rectangle. The author will describe why one might choose CRA-I and the steps needed for implementation. Finally, the CRA-I steps will be shown with a lesson series related to teaching the concept of area. The article will describe lesson activities, methods, materials, and procedures.

The influence of thread geometry on implant osseointegration under immediate loading: a literature review

  • Ryu, Hyo-Sook;Namgung, Cheol;Lee, Jong-Ho;Lim, Young-Jun
    • The Journal of Advanced Prosthodontics
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    • v.6 no.6
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    • pp.547-554
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    • 2014
  • Implant success is achieved by the synergistic combination of numerous biomechanical factors. This report examines the mechanical aspect of implants. In particular, it is focused on macrodesign such as thread shape, pitch, width and depth, and crestal module of implants. This study reviews the literature regarding the effect of implant thread geometry on primary stability and osseointegration under immediate loading. The search strategy included both in vitro and in vivo studies published in the MEDLINE database from January 2000 to June 2014. Various geometrical parameters are analyzed to evaluate their significance for optimal stress distribution, implant surface area, and bone remodeling responses during the process of osseointegration.

A Study on the Computer-Aided Forging Design for Rib/Web Shaped Parts (리브/웨브 형상을 갖는 부품의 단조품설계 자동화에 관한 연구)

  • 최재찬;김병민;이언호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.3
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    • pp.768-776
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    • 1994
  • This paper describes computer-aided forging design for rib/web shaped parts. In manufacturing a part by means of forging process, the first step is to design the forging. This is done by modifying the given machined part geometry according to the requirements of the forging process. Traditionally, this is done by experienced forging designers using empirical forging design guidelines. Generally, it would be neither possible nor practical to develop a system which encompasses the design of all types of forgings. Accordingly, forging design can be simplified by considering critical two dimensional cross sections of the machined part geometry. This system is composed of three modules(process variable decision module, forging design module and redesign module) and each module is carried out in regular sequence. In the process variable decision module, first of all, the undercut is checked and modified, and then deep recesses and holes difficult to forge are eliminated. Also parting line, forging plane, forging plan view area, forging weight and maximum size(maximum height or width)are determined. In the forging design module, the magnitude of various allowances, draft angle, minimum web thickness, corner and fillet radius are determined and then geometry modification is performed. Finally, since the design rules and databases used in this system are based on parameters of the forging geometry, such as the trimmed forging plan area, forging weight, forging maxmum size, plausible estimates need to be made for these parameters. Therefore, in the re-design module, the design process is iterated until a satisfactory forging is obtained.

Design Characteristics of Non-Contact Type Seal for High Speed Spindle (고속주축용 비접촉 시일의 형상설계 연구)

  • 나병철;전경진;한동철
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.4
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    • pp.56-63
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    • 1997
  • Sealing of lubricant-air mixture in the high performance machining center is one of most the important characteristics to carry out enhanced lubrication. High speed spindle requires non-contact type of sealing mechanism. Evaluating an optimum seal design to minimize leakage is concerned in the aspect of flow control. Effect of geometry and leakage path are evaluated according to variation of sealing geometry. Velocity, pressure, turbulence intensity of profile is calculated to find more efficient geometry and variables. This offers a methodological way of enhancement seal design for high speed spindle. The working fluid is regarded as two phases that are mixed flow of oil phase and air phase. It is more reasonable to simulate an oil jet or oil mist type high speed spindle lubrication. Turbulence and compressible flow model are used to evaluate a flow characteristic. This paper considers a design effect of sealing capability of non- contact type seals for high speed spindle and analyzes leakage characteristics to minimize a leakage 7 on the same sealing area.

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A Study on Screw Design Parameters of Co-Rotating Twin Screw Extruder (동회전 2축 스크류 압출기의 스크류 설계 파라미터에 관한 연구)

  • 최부희;최상훈
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.7
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    • pp.217-226
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    • 2003
  • Twin screw extruders are the heart of the polymer processing industry. They are used at some stage in nearly all polymer processing operations. This paper is concerned with the basic elements of the extruder design. The proper design of the geometry of the extruder screw is of crucial importance to the proper functioning of the extruder. If the material transport instabilities occur as a result of improper screw geometry, even the most sophisticated computerized control system cannot solve the problem. For this purpose, a characteristic design on the screw flights shape of the closely intermeshing co-rotating twin screw extruder. This paper presents design parameters of double flighted screw and triple flighted screw elements, and characteristics of various screw channel area versus screw diameter ratio, K value, in the barrel of screw extruder.

Modeling Method of the TRNSYS Considering of a Building Geometry (건물의 기하학적 형태를 고려한 TRNSYS 모델링 방법)

  • Lee, Jae-Hyuk;Choi, Won-Ki;Suh, Seung-Jik
    • Proceedings of the SAREK Conference
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    • 2009.06a
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    • pp.21-26
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    • 2009
  • TRNSYS 16 had just a wall area and azimuth as an input value about a building shape. So, a geometrical shape of a building was not considered in simulation using TRNSYS 16. In this study, we suggested the more appropriate modeling method for simulation considering of building geometry in TRNSYS 16. To suggest this method, we simulated energy needs affected by shading effect that caused by a geometrical shape of a building, and compared the result to the simulation result of non-shading environment.

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Optimization of the Tool Geometry of Plane Strain Punch Stretching Test (평면변형률 장출 실험용 금형의 최적설계)

  • 하동호;김영석
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.10a
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    • pp.158-163
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    • 1997
  • In this paper the tool geometry of the PSS test were optimized in order to assure the reliability of the test. Considering many factors for optimization of the tool geometry, computer-simulation technique using three-dimensional finite element method(FEM) was used. Three design variables -the punch length, punch crown and punch corner radius- are chosen to be optimized according to the Taguchi's experiment technique with the L9 orthogonal array. The optimum condition to ensure the plane strain mode over the overall area of the specimen was clarified. Moreover the simulation results are confirmed by experiment.

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A Case Study on the Cause Analysis of Subsidence in Limestone Mine Using LiDAR-Based Geometry Model (라이다 기반 정밀 형상 모델 활용 석회석 광산 지반침하 원인분석 사례연구)

  • Hwicheol Ko;Taewook Ha;Sang Won Jeong;Sunghyun Park;Seung-tae Kim
    • Tunnel and Underground Space
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    • v.33 no.3
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    • pp.126-140
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    • 2023
  • In this study, the cause of subsidence in limestone mine was analyzed using a LiDAR-based geometry model. Using UAV and ground-based LiDAR systems, a precise geometry model was constructed for the subsidence surface and mine tunnel, and the results of on-site geological survey and rock mass classification were utilized. Through the geometry model, distribution of thickness of crown pillar and faults around the subsidence area, calculation of the volume of the subsidence area and subsidence deposit, and analysis of the subsidence surface inclination were conducted. Through these analyzes, the causes of ground subsidence were identified.

VLSI Algorithms & Architectures for Two Dimensional Constant Geometry FFT (이차원 Constant Geometry FFT VLSI 알고리즘 및 아키텍쳐)

  • 유재희;곽진석
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.5
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    • pp.12-25
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    • 1994
  • A two dimensional constant geometry FFT algorithms and architectures with shuffled inputs and normally ordered outputs are presented. It is suitable for VLSI implementation because all buterfly stages have identical, regular structure. Also a methodology using shuffled FFT inputs and outputs to halve the number of butterfly stages connected by a global interconnection which requires much area is presented. These algorithms can be obtained by shuffling the row and column of a decomposed FFT matrix which corresponds to one butterfly stage. Using non-recursive and recursive pipeline, the degree of serialism and parallelism in FFT computation can be adjusted. To implement high performance high radix FFT easily and reduce the amount of interconnections between stages, the method to build a high radix PE with lower radix PE 's is discussed. Finally the performances of the present architectures are evaluated and compared.

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A Numerical Study on the Flow Characteristics of Side-suction Inlet Geometry for Centrifugal Pump (원심펌프 측면흡입구의 유동특성에 관한 수치해석적 연구)

  • Kim, Sung;Choi, Young-Seok;Lee, Kyoung-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.12 no.6
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    • pp.7-12
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    • 2009
  • This paper presents a numerical study on the design of side-suction inlet geometry which is used for multi stage centrifugal pumps or inline centrifugal pumps. In order to achieve an optimum inlet geometry and to explain the interactions between the different geometric configurations, the three dimensional computational fluid dynamics and the design of experiment methods have been applied. Geometric design variables describing the cross sectional area distribution through the inlet were selected. The objective functions are defined as the non-uniformity of the velocity distribution at the passage exit which is just in front of the impeller eyes. From the 2k factorial design results, the most important design variable was found and the performance of the side suction inlet was improved compared to the base line shape.