• Title/Summary/Keyword: Geometry design

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Design of a Floating Point Unit for 3D Graphics Geometry Engine (3D 그래픽 Geometry Engine을 위한 부동소수점 연산기의 설계)

  • Kim, Myeong Hwm;Oh, Min Seok;Lee, Kwang Yeob;Kim, Won Jong;Cho, Han Jin
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.10 s.340
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    • pp.55-64
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    • 2005
  • In this paper, we designed floating point units to accelate real-time 3D Graphics for Geometry processing. Designed floating point units support IEEE-754 single precision format and we confirmed 100 MHz performance of floating point add/mul unit, 120 MHz performance of floating point NR inverse division unit, 200 MHz performance of floating point power unit, 120 MHz performance of floating point inverse square root unit at Xilinx-vertex2. Also, using floating point units, designed Geometry processor and confirmed 3D Graphics data processing.

Shape Design Optimization using Isogeometric Analysis Method (등기하 해석법을 이용한 형상 최적 설계)

  • Ha, Seung-Hyun;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.216-221
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    • 2008
  • Shape design optimization for linear elasticity problem is performed using isogeometric analysis method. In many design optimization problems for real engineering models, initial raw data usually comes from CAD modeler. Then designer should convert this CAD data into finite element mesh data because conventional design optimization tools are generally based on finite element analysis. During this conversion there is some numerical error due to a geometry approximation, which causes accuracy problems in not only response analysis but also design sensitivity analysis. As a remedy of this phenomenon, the isogeometric analysis method is one of the promising approaches of shape design optimization. The main idea of isogeometric analysis is that the basis functions used in analysis is exactly same as ones which represent the geometry, and this geometrically exact model can be used shape sensitivity analysis and design optimization as well. In shape design sensitivity point of view, precise shape sensitivity is very essential for gradient-based optimization. In conventional finite element based optimization, higher order information such as normal vector and curvature term is inaccurate or even missing due to the use of linear interpolation functions. On the other hands, B-spline basis functions have sufficient continuity and their derivatives are smooth enough. Therefore normal vector and curvature terms can be exactly evaluated, which eventually yields precise optimal shapes. In this article, isogeometric analysis method is utilized for the shape design optimization. By virtue of B-spline basis function, an exact geometry can be handled without finite element meshes. Moreover, initial CAD data are used throughout the optimization process, including response analysis, shape sensitivity analysis, design parameterization and shape optimization, without subsequent communication with CAD description.

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Structural Optimization of Cantilever Beam in Conjunction with Dynamic Analysis

  • Zai, Behzad Ahmed;Ahmad, Furqan;Lee, Chang-Yeol;Kim, Tae-Ok;Park, Myung-Kyun
    • Journal of the Korean Institute of Gas
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    • v.15 no.5
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    • pp.31-36
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    • 2011
  • In this paper, an analytical model of a cantilever beam having a midpoint load is considered for structural optimization and design. This involves creation of the geometry through a parametric study of all design variables. For this purpose, the optimization of the cantilever beam was elaborated in order to find the optimum geometry which minimizes its volume eventually for minimum weight by FEM (finite element method) analysis. Such geometry can be obtained by different combinations of width and height, so that the beam may have the same cross-sectional area, yet different dynamic behavior. So for optimum safe design, besides minimum volume it should have minimum vibration as well. In order to predict vibration, different dynamic analyses were performed simultaneously to identify the resonant frequencies and mode shapes belonging to the lowest three modes of vibration. Next, by introducing damping effects, the tip displacement and bending stress at the fixed end was evaluated under dynamic loads of varying frequency. Investigation of the results clearly shows that only structural analysis is not enough to predict the optimum values of dimension for safe design it must be aided by dynamic analysis as well.

Isogeometric Shape Sensitivity Analysis in Generalized Curvilinear Coordinate Systems (일반 곡면 좌표계에서 구현된 아이소-지오메트릭 형상 설계민감도 해석)

  • Ha, Youn Doh;Yoon, Minho;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.6
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    • pp.497-504
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    • 2012
  • Finite element analysis is to approximate a geometry model developed in computer-aided design(CAD) to a finite element model, thus the conventional shape design sensitivity analysis and optimization using the finite element method have some difficulties in the parameterization of geometry. However, isogeometric analysis is to build a geometry model and directly use the functions describing the geometry in analysis. Therefore, the geometric properties can be embedded in the NURBS basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. In this study, the isogeometric structural analysis and shape design sensitivity analysis in the generalized curvilinear coordinate(GCC) systems are discussed for the curved geometry. Representing the higher order geometric information, such as normal, tangent and curvature, yields the isogeometric approach to be the best way for generating exact GCC systems from a given CAD geometry. The developed GCC isogeometric structural analysis and shape design sensitivity analysis are verified to show better accuracy and faster convergency by comparing with the results obtained from the conventional isogeometric method.

A Study on Automatic Generation for 3-Dimensional Geometry of Gerotor and Hob (제로터와 호브의 3차원 형상 자동 생성에 관한 연구)

  • 정태형
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.458-463
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    • 1999
  • When designing a gerotor, designers determine basic dimensions of a gerotor with transmitted power considering strength, interference and so on. But, designers can not easily obtain the tooth profile generated by dimensions as well as the geometry of generating hob for cutting the tooth profile. In order to resolve these problems, an automatic design system creating not only the solid model of a gerotor but also that of the generating hob using the design parameters of dimensions is developed. Through the developed system, designers can improve the efficiency of design and satisfy the variable requirements of design as well. In this research, the three-dimensional solid model of gerotor is generated considering the design parameters. Besides, that of generating hob with respect to the design parameters of hob is created automatically. The system is developed using Visual Basic and its three-dimensional geometric modeling module is constructed using SolidWorks.

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A Study on the Robust Minimization of Warpage in Injection-Molded Part via the Optimal Design of Rib Geometry and Process Conditions (리브 형상과 공정조건의 최적설계에 의한 사출제품 휨의 안정적 최소화에 관한 연구)

  • Park, Jong-Cheon;Kim, Kyung-Mo;Lee, Jong-Chan;Koo, Bon-Heung
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.8 no.3
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    • pp.90-97
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    • 2009
  • In the study, a design methodology for robust minimization of a warpage in injection-molded part is presented. Taguchi's parameter design method is integrated with a computer simulation tool for injection molding to search for best design with robustness against the process variability by noises. The proposed methodology is based on a two-stage process: (1) reducing a warpage in the part by optimizing the part geometry including the layout and size of ribs, and (2) additionally minimizing the warpage by optimizing process conditions. An example is used to illustrate the usefulness of the design methodology.

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Aerodynamic Shape Design Method for Wing Planform Using Metamodel (근사모델을 이용한 날개 평면형상 공력형상설계 방법)

  • Bae, Hyogil;Jeong, Sora
    • Journal of Aerospace System Engineering
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    • v.8 no.4
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    • pp.18-23
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    • 2014
  • In preliminary design phase, the wing geometry of the civil aircraft was determined using the empirical equation and historical data. To make wing geometry more aerodynamically efficient, an aerodynamic shape optimization was conducted. For this purpose the parametric modeling, high fidelity CFD analysis and metamodel-based optimal design technique were adopted. The parametric modeling got the design process to achieve the improvement by generating the configuration outputs easily for the major design variables. The optimal design equations were formularized as the type of the multi-objective functions considering low/high speed and lift/drag coefficient. The optimal solution was explored with the help of the kriging metamodel and the desirability function, therefore the optimal wing planform was sought to be excellent at both low and high speed region. Additionally the optimal wing planform was validated that it was excellent not only at the specific AOA, but also all over the range of AOA.

Systolic Arrays for Constructing Static and Dynamic Voronoi Diagrams (두 형의 Voronoi Diagram 구축을 위한 Systolic Arrays)

  • O, Seong-Jun
    • ETRI Journal
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    • v.10 no.3
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    • pp.125-140
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    • 1988
  • Computational geometry has wide applications in pattern recognition, image processing, VLSI design, and computer graphics. Voronoi diagrams in computational geometry possess many important properites which are related to other geometric structures of a set of point. In this pater the design of systolic algorithms for the static and the dynamic Voronoi diagrams is considered. The major motivation for developing the systolic architecture is for VLSI implementation. A new systematic transform technique for designing systolic arrays, in particular, for the problem in computational geometry has been proposed. Following this procedure, a type T systolic array architecture and associated systolic algorithms have been designed for constructing Voronoi diagrams. The functions of the cells in the array are also specified. The resulting systolic array achieves the maximal throughput with O(n) computational complexity.

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The Material Flow according to Die Geometry in Can-Flange Forming (Can-Flange 성형에서 금형형상에 따른 소재 유동특성)

  • Ko, Byung-Du;Lee, Ha-Sung
    • Design & Manufacturing
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    • v.6 no.2
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    • pp.42-47
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    • 2012
  • The paper deals with an analysis of an extrusion process with a divided material flow in a combined radial - backward extrusion. We have discussed the influences of tool geometry such as punch nose angle, relative gap height, die corner radius on material flow and surface expansion into can and flange region. To analyse the process, numerical simulations by the FEM and experiment by physical modeling using Al alloy as a model material have been performed. Based on the results, the influence of fixed parameters on the distribution of divided material flow and surface expansion are obtained.

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