• Title/Summary/Keyword: 기하적 설계

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The Design and Teaching Strategy of Geometry Program for the Mathematically Gifted (수학영재를 위한 기하 프로그램 설계 및 교수전략)

  • Jeon, Young-Ju
    • Journal of the Korean School Mathematics Society
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    • v.13 no.2
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    • pp.225-241
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    • 2010
  • Even though geometry is an important part basic to mathematics, studies on the program designs and teaching strategies of geometry are insufficient. The aims of this study are to propose the model of program design for autonomous learners taking their characteristics of the mathematically gifted into consideration. The core of teaching materials are analytic geometry and projective geometry. And the new teaching strategy will introduce three steps ; a draft strategies step(problem presentation, problem solving), a supportive strategies step(abstraction of a mathematical concept, mathematical induction, and extension), a transference strategies step to teaching strategy suitable for mathematically gifted. As a result, this study will suggest the effective methods of geometry teaching for the mathematically gifted.

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Isogeometric Shape Design Optimization of Structures under Stress Constraints (응력 제한조건을 갖는 구조물의 아이소-지오메트릭 형상 최적설계)

  • Ahn, Seung-Ho;Kim, Min-Geun;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.3
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    • pp.275-281
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    • 2010
  • In this paper, the design optimization of structures with stress constraints is performed using isogeometric shape optimization method. The stress constraints have an important role in design optimization problems since stress concentration could result in structural failure. To represent exact geometry in analysis, the isogeometric analysis method uses the same basis functions as used in the CAD geometry. The geometrically exact model can be used in both stress and design sensitivity analyses so that it can yield more precise optimal design than finite element one. Through numerical examples, the isogeometric approach turns out to be effective in shape optimization problems under stress constraints.

Geometrical Design Theory of a 6 DOF Vibration Absorber (6자유도 진동 흡진기의 기하적 설계 이론)

  • Jang Seon Jun;Choi Yong Je
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.7 s.172
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    • pp.191-199
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    • 2005
  • Many researchers have been investigating the design of multi-mode absorption vibration absorber for multi degree-of-freedom (DOF) system. The approach taken to this problem has been to find the optimized constants of stiffness and damping for the given set of single-DOF absorbers or single multi-DOF absorber attached to a multi degree-of-freedom system. This paper presents a novel geometrical and direct design theory of a 6 DOF vibration absorber via screw theory. Theoretical development is demonstrated by a practical example in which the diagonal stiffness matrix is synthesized using rectangular configuration of springs. The performance of this absorber is simulated by modal analysis.

물리적 인간 기계 상호작용을 위한 근육의 기하학적 형상 변화를 이용한 상지부 움직임 예측

  • Han, Hyo-Nyeong;Kim, Jeong
    • ICROS
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    • v.16 no.3
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    • pp.34-39
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    • 2010
  • 근육 활성화시 나타나는 근육의 기하학적 형상인 단면적 변화를 움직임 의도 예측에 사용했다. 밴드 형태로 구성한 유연한 압전 케이블(flexible piezoelectric cable)을 이용하여 단면적을 측정하는 착용형 근육 활성도 측정 센서(pMAS, piezo cable muscle activation sensor)를 설계했고, 상완부에 적용하여 팔꿈치의 움직임을 예측했다.

원자로 격납건물 기하학적 특성을 고려한 내압해석

  • 백용락;이상국;이계현;윤철호;신재철
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.05b
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    • pp.1017-1023
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    • 1995
  • 본 연구는 원자로 격납건물 내압해석에 있어 대표적 기하학적 변 단면을 변수로 하여 그 영향을 분석함으로써 격납건물 구조건전성시험(SIT : Structural Integrity Test)시 정확한 계측계획의 수립 및 시험결과와 비교 평가를 위한 해석상의 고려사항을 도출하고자 수행되었으며, 장비출입구 주변의 단면 설계를 위한 부분모델 작성시 고려되어야 하는 비 영향 영역 범위를 설정하고자 수행되었다. 해석결과 본 논문에서 고려된 대표적 기하학적 변단면의 영향이 비교적 큰 것으로 평가되어 격납건물 구조건전성 시험의 수행 및 평가에 고려되어야 할 요소가 도출되었으며 부분모델 작성시 고려되어야 하는 비영향 영역을 설정 할 수 있었다.

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A Study on User Recognition by Sending Emergency Disaster Text Messages (긴급재난문자 발송에 따른 이용자 인식에 관한 연구)

  • Kim, Hee_Jae;Pyo, Kyong-Soo;Park, Keun Oh
    • Proceedings of the Korean Society of Disaster Information Conference
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    • 2022.10a
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    • pp.396-397
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    • 2022
  • 본 논문에서는 등기하 해석법을 이용하여 선형 탄성문제에 대한 형상 최적설계 기법을 개발하였다. 실용적인 공학문제에 대한 많은 최적설계 문제에서는 초기의 데이터가 CAD 모델로부터 주어지는 경우가 많다. 그러나 대부분의 설계 최적화 도구들은 유한요소법에 기초하고 있기 때문에 설계자는 이에 앞서 CAD 데이터를 유한요소 데이터로 변환해야 한다. 이 변환과정에서 기하 모델의 근사화에 따른 수치적 오류가 발생하게 되고, 이는 응답 해석뿐만 아니라 설계민감도 해석에 있어서도 정확도 문제를 발생시킨다. 이러한 점에서 등기하 해석법은 형상 최적설계에 있어서 유망한 방법론중 하나가 될 수 있다. 등기하 해석법의 핵심은 해석에 사용되는 기저 함수와 기하 모델을 구성하는 함수가 정확히 일치한다는 것이다. 이러한 기하학적으로 정확한 모델은 설계민감도 해석 및 형상 최적설계에 있어서도 사용된다. 이로 인해 높은 정확도의 설계민감도를 얻을 수 있으며, 이는 설계구배 기반의 최적화에 있어서 매우 중요하게 작용한다. 수치 예제를 통하여 본 논문에서 제시된 등기하 해석 기반의 형상 최적설계 방법론이 타당함을 확인하였다. 본 논문에는 등기하 해석법을 이용하여 선형 탄성문제에 대한 형상 최적설계 하였다.

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Direcy Design of Space Steel Frames Using practical Advanced Analysis (실용적인 고등해석을 이용한 공간 강뼈대구조물의 직접설계)

  • Kim, Seung Eock;Choi, Se Hyu
    • Journal of Korean Society of Steel Construction
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    • v.13 no.2
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    • pp.153-162
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    • 2001
  • A direct design method of three-dimensional frames using practical advanced analysis is presented. In this method. separate member capacity checks encompassed by the code specifications are not required. because the stability of separate members and the structure as a whole can be rigorously treated in determining the maximum strength of the structures. Advanced analysis accounts for geometric and material nonlinearities. The geometric nonlinearlity is considered by the use of stability function. The material nonlinearity is accounted for using CRC tangent modulus and parabolic function. The load-displacements predicted by the proposed analysis compare well with those given by other approaches. A design example has been presented for a 22-story frame. The analysis results show that the proposed method is suitable for adoption in practice.

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The Optimal Design of Steel Truss by Geometric Programming Method (기하적(幾何的) 계획법(計劃法)에 의한 강재(鋼材)트러스구조물(構造物)의 최적설계(最適設計)에 관한 연구(研究))

  • Jung, Hae Joon;Lee, Gyu Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.3 no.2
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    • pp.31-44
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    • 1983
  • This paper applies an optimization algorithm for the elastic truss structures. The acceleration technique utilized in this study is the geometric programming method developed by the Operation Research or the applied methematics. The applicability and the efficiency of the algorithm applied in this study are tested for four different trusses. Test results show that the optimum solutions are obtained after only one or seven iterations which is very small compared with other techniques and no oscillation is needed for the convergency. Test rusults also show that the Geometric Programming Method is also effective algorithm for the convergency of the Optimum Solution in case of only being compared with the number of iteration.

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Application of Multi-Resolution Modeling in Collaborative Design (협업 설계에서의 다중해상도 모델링 응용)

  • Kim, Tae-Seong;Han, Jung-Hyun
    • The KIPS Transactions:PartA
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    • v.10A no.4
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    • pp.339-346
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    • 2003
  • This paper provides a framework for information assurance within collaborative design, based on a technique we call role-based viewing. Such role-based viewing is achieved through integration of multi-resolution geometry and security models. 3D models are geometrically partitioned, and the partitioning is used to create multi-resolution mesh hierarchies. Extracting a model suitable for access rights for individual designers within a collaborative design environment Is driven by an elaborate access control mechanism. 

Design of Transformation Engine for Mobile 3D Graphics (모바일 3차원 그래픽을 위한 기하변환 엔진 설계)

  • Kim, Dae-Kyoung;Lee, Jee-Myong;Lee, Chan-Ho
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.44 no.10
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    • pp.49-54
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    • 2007
  • As digital contents based on 3D graphics are increased, the requirement for low power 3D graphic hardware for mobile devices is increased. We design a transformation engine for mobile 3D graphic processor. We propose a simplified transformation engine for mobile 3D graphic processor. The area of the transformation engine is reduced by merging a mapping transformation unit into a projective transformation unit and by replacing a clipping unit with a selection unit. It consists of a viewing transformation unit a projective transformation unit a divide by w nit, and a selection unit. It can process 32 bit floating point format of the IEEE-754 standard or a reduced 24 bit floating point format. It has a pipelined architecture so that a vertex is processed every 4 cycles except for the initial latency. The RTL code is verified using an FPGA.