• Title/Summary/Keyword: Bezier points

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Design Optimization of a Centrifugal Compressor Impeller Considering the Meridional Plane (자오면 형상을 고려한 원심압축기 임펠러 최적설계)

  • Kim, Jin-Hyuk;Choi, Jae-Ho;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.12 no.3
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    • pp.7-12
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    • 2009
  • In this paper, shape optimization based on three-dimensional flow analysis has been performed for impeller design of centrifugal compressor. To evaluate the objective function of an isentropic efficiency, Reynolds-averaged Navier-Stokes equations are solved with SST (Shear Stress Transport) turbulence model. The governing equations are discretized by finite volume approximations. The optimization techniques based on the radial basis neural network method are used for the optimization. Latin hypercube sampling as design of experiments is used to generate thirty design points within design space. Sequential quadratic programming is used to search the optimal point based on the radial basis neural network model. Four geometrical variables concerning impeller shape are selected as design variables. The results show that the isentropic efficiency is enhanced effectively from the shape optimization by the radial basis neural network method.

Construction of curve-net interpolation surface considering trajectory of cross-section curves (단면곡선의 궤적을 고려한 곡선망 보간곡면 형성)

  • Yoo, Woo-Sik;Shin, Ha-Yong;Choi, Byoung-K.
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.2
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    • pp.77-90
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    • 1994
  • Curve-net interpolation surface is one of the most popular method in engineering design. Therefore it is supported with many commercial CAD/CAM system. However, construction algorithm of curve-net interpolation surfaces is rarely opened to the public because of its copy-right. In this paper we establish a construction algorithm of curve-net interpolation surface so called sweeping surface which especially concentrates on trajectory of cross-section curve. We also show the method which can construct sweeping surfaces as NURB or Bezier mathematical models. Surfaces having the form of standard mathematical models are very useful for the application of joining, trimming, blending etc. The proposed surface interpolation scheme consists of four steps; (1) preparation of guide curves and section curves, (2) remeshing guide curves and section curves, (3) blending section curves after deformation, and (4) determination of control points for sweeping surface using gordon method. The proposed method guarantee $G^1$-continuety, and construct the surface salifying given section curves and trajectory of section curves.

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Calculation of Economic CL Data for Sculptured Surface Machining (자유곡면 절삭을 위한 경제적인 CL 데이타 계산)

  • Kim, Dae-Hyeon;Choe, Byeong-Gyu
    • Journal of Korean Institute of Industrial Engineers
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    • v.9 no.2
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    • pp.27-35
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    • 1983
  • This paper describes a procedure of generating economic cutter-location(CL) data for the machining of sculptured surfaces on a multi-axis NC milling machine. Measures of economy are the machining time (cutter move distance) and the length of NC tape (number of CL data points). The presented procedure minimizes both the number of CL data and the total distance of cutter moves, for a given cutter (spherical end-mill) size and parameteric cutting direction, while satisfying given tolerance requirements. The procedure has been implemented in FORTRAN for a smooth composite Bezier surface. The maximum allowable cutter size is calculated by the program so that a user can choose a cutter size. CL data can be generated in both parametric directions u and v. Experimental results show that there are significant differences between the parametric directions, and that cutter size should be as large as possible in order to minimize the cutting time and NC tape length.

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Design Optimization of Flow Guide by an Approximation Approach in Three-dimensional Extrusion Processes (근사 최적화 기법을 이용한 3차원 압출공정에서 플로우 가이드 형상의 최적 설계)

  • Lee S. R.;Yang D. Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.05a
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    • pp.19-22
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    • 2004
  • A scheme of shape optimization by new approximation approach is applied to design of a flow guide in three-dimensional extrusion processes. The optimization scheme is presented to reduce computation time fur the optimization process and applied to an H-section extrusion problem for verifying the efficiency and the usefulness. The object of optimization is to minimize the deviation of exit velocity and control points of a Bezier curve describing the shape of the flow guide are regarded as design variables. The effectiveness of the proposed scheme is then demonstrated through the applied example.

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A Numerical Study on Shape Design Optimization for an Impeller of a Centrifugal Compressor (원심압축기 임펠러의 형상 설계 최적화에 관한 수치적 연구)

  • Seo, JeongMin;Park, Jun Young;Choi, Bum Seok
    • The KSFM Journal of Fluid Machinery
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    • v.17 no.3
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    • pp.5-12
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    • 2014
  • This paper presents a design optimization for meridional profile and blade angle ${\theta}$ of a centrifugal compressor with DOE (design of experiments) and RSM (response surface method). Control points of the $3^{rd}$ order Bezier curve are used for design parameters and specific overall efficiency is used as object function. The response surface function shows good agreement with the 3D computational results. Three different optimized designs are proposed and compared with reference design at design point and off-design point. Contours of relative Mach number, static entropy, and total pressure are analyzed for improvement of performance by optimization. Off-design performance analysis is conducted by total pressure and efficiency.

DEVELOPMENT OF A THREE-DIMENSIONAL MULTI-BLOCK STRUCTURED GRID DEFORMATION CODE FOR COMPLEX CONFIGURATIONS (복잡한 형상에 관한 삼차원 변형 Multi-Block 정렬격자 프로그램 개발)

  • Hoang, A.D.;Lee, Y.M.;Jung, S.K.;Nguyen, A.T.;Myong, R.S.
    • Journal of computational fluids engineering
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    • v.12 no.4
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    • pp.28-37
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    • 2007
  • In this study, a multi-block structured grid deformation code based on a hybrid of a transfinite interpolation algorithm and spring analogy was developed. The configuration was modeled by a Bezier surface. A combination of the spring analogy for block vertices and the transfinite interpolation for interior grid points helps to increase the robustness and makes it suitable for distributed computing. An elliptic smoothing operator was applied to the block faces with sub-faces in order to maintain the grid smoothness and skewness. The capability of this code was demonstrated on a range of simple and complex configurations including an airfoil and a wing-body configuration.

A study on CAM System for Machining of Sculptured Surface in Mold Cavity(2) -Machining Algorithm and Construction of the System- (3차원 자유곡면 가공용 CAM시스템의 개발에 관한 연구 (2) -가공 알고리즘 및 시스템 구성-)

  • 정희원;정재현
    • Journal of Advanced Marine Engineering and Technology
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    • v.19 no.1
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    • pp.54-59
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    • 1995
  • In this paper, we propose unique CAM system for personal computer that can define the geometric shape in an ease manner and to machine the sculptured surfaces of a mold cavity. In this CAM system, if a user inputs simple initial information such as the control points for a shape definition and a radius of tool etc., all of the procedures for machining will be processed automatically by the CAM system as well as NC commands and simulations. In addition to this, the environment of the CAM system is composed of "C" language for an easy extention of aditional modules. Also, the CAM system with the following characteristics was developed. 1. The optimum tool path satisfying given tolerance limits reduces the time for the high precision machining of sculptured surface in a mold cavity. 2. The generated NC commands can be transmitted to NC directly by the CAM system through RS-232C from PC.C from PC.

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A Study on the Optimal Probe Path Generation for Sculptured Surface Inspection Using the Coordinate Measuring Machine (3차원 측정기를 이용한 자유곡면 측정시 최적의 경로 결정에 관한 연구)

  • Cho, Myung-Wo;Yi, Seung-Jong;Kim, Moon-Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.10
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    • pp.121-129
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    • 1995
  • The objective of this research is to develop an effective inspection planning strategy for sculptured surfaces by using 3-dimensional Coordinate Measuring Machine (CMM). First, the CAD/CAM database is generated by using the Bezier surface patch mathod and variable cutter step size approach for design and machining of the workpiece model. Then, optimum measuring point locations are determained based on the mean curvature analysis to obtain more effective inspection results for the given sample numbers. An optimal probe sequence generation method is proposed by implementing the Traveling Salesperson (TSP) algorithm and new guide point selection methods are suggested based on the concepts of the variable distance between the first and second guide points. Finally, simulation study and experimental work show the effectiveness of the proposed strategy.

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Optimal Shape Design of Dual Reflector Antenna Based on Genetic Algorithm (유전 알고리즘 기반의 이중 반사경 안테나 형상최적화 기법)

  • Park, Jung-Geun;Chung, Young-Seek;Kang, Won-June;Shin, Jin-Woo;So, Joon-Ho;Cheon, Chang-Yul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.26 no.5
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    • pp.445-454
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    • 2015
  • In this paper, we propose an optimal design method for a dual reflector antenna(DRA) using the Genetic algorithm. In order to reduce the computational burden during the optimal design, we exploit the iterative physical optics(IPO) to calculate the surface current distribution at each reflector antenna. To improve the accuracy, we consider the shadow effect by the structure and the coupling effect by the multi-reflection based on the iterative MFIE(Magnetic Field Integral Equation). To reduce the number of design variables and generate a smooth surface, we use the Bezier function with the control points, which become the design variables in this paper. We adopt the HPBW(Half Power Beam Width), the FNBW(First Null Beam Width), and the SLL(Side Lobe Level) as the objective or cost functions. To verify the results, we compare them with the those of the commercial tool.

Study of Blank Thickness Optimization in Free Bulging for Maximizing Bulged Height (가스압력을 이용한 자유벌징에서 성형양 최대화를 위한 두께 분포 최적화)

  • Yoo, Joon-Tae;Yoon, Jong-Hoon;Lee, Ho-Sung;Youn, Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.8
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    • pp.899-904
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    • 2014
  • Thickness profiled blank is designed using optimization techniques for maximizing the bulged heights during the free bulging of Inconel 718. The thickness of the blank was described by the Bezier curve and the locations of the control points were used as the design variables for optimization. The maximization of the bulged heights within the limited strain range served as the objective function and constraints for optimization. The equivalent static loads method for non-linear static response structural optimization (ESLSO) was used and the result of the optimization revealed 22 increased bulged heights. A free bulging test using a blank with an optimized profile was conducted to verify the optimization process. The results were compared with those of numerical analysis in terms of bulged height and deformed shape.