• Title/Summary/Keyword: Numerical Optimization Response Surface Method

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Aerodynamic Design Optimization of an Jet Fan using the Response Sruface Method (반응면 기법을 이용한 제트송풍기의 공력학적 수치최적설계)

  • Seo Seoung-Jin;Kim Kwang-Yong
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.635-638
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    • 2002
  • In this study, three-dimensional imcompressible viscous flow analysis and optimization using response surface method are presented for the design of a jet fan. Steady, imcompressible, three-dimensional Reynolds averaged Wavier-Stokes equations are used as governing equations, and standard $k-{\varepsilon}$ turbulence model is chosen as a turbulence model. Governimg equations are discretized using finite volume method. Sweep angles are used as design variables for the shape optimization of the impeller in response surface method. The experimental points which are needed to construct response surface are obtained from the D-optimal design and finally the shape of impeller Is achieved from using a numerical optimization for the response surface which is obtained from CFD.

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A Study on Centrifugal Compressor Design Optimization for Increasing Surge Margin (서지 마진 증가를 고려한 원심 압축기 설계 최적화)

  • Chai, Jae-Ha
    • The KSFM Journal of Fluid Machinery
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    • v.11 no.2
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    • pp.38-45
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    • 2008
  • This study presents a numerical procedure to optimize the compressor design to increase the surge margin of compressor with response surface method (RSM). The Box-Behnken design method is used to reduce the number of calculation for fitting the second-order response surface. In order to consider the increase of surge margin during numerical optimization without any calculation at the surge point, the slope of compressor characteristic curve at the design point is suggested as an objective function in the present optimization problem. Mean line performance analysis method is used to get the design and off-design characteristic curves of centrifugal compressor. The impeller exit angle, impeller exit height and impeller radius are chosen as design variables. The optimum shapes show the increase of surge margin for the surge margin optimization and increase of efficiency for the efficiency optimization in comparison with an initial shape.

Performance Optimization of the Two-Stage Gas Gun Based on Experimental Result (2-단계 기포(氣砲)의 성능 최적화에 관한 연구)

  • 이진호;배기준;전권수;변영환;이재우;허철준
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.10a
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    • pp.145-150
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    • 2003
  • The present study aims to optimize the performance of the Two-Stage Gas Gun by using the experimentally obtained data. RSM(Response Surface Method) was adopted in the optimization process to find the operating parameter than can maximize the projectile speed with the minimum number of tests. To decide the test points which results can consist of the response surface, 3$^{k}$ full factorial method was used, and the design variables were chosen with piston mass and 2$^{nd}$ driver fill pressure. The response surface was composed by nine test results and consequently the optimization was done with GENOCOP III, inherently GA code, in order to seek the optimal test point. The optimal test condition from the response surface was verified by the experiment. Results showed that the optimization process with response surface can successfully predict the test results fairly well. This study shows the possibility of performance optimization for the experimental facilities using numerical optimization algorithm.

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Study on Optimization of Aerodynamic Design of A Jet Fan (제트송풍기의 공력설계 최적화에 관한 연구)

  • Seo, Seoung-Jin;Kim, Kwang-Yong;Chang, Dong-Wook
    • 유체기계공업학회:학술대회논문집
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    • 2002.12a
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    • pp.439-443
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    • 2002
  • In this study, three-dimensional incompressible viscous flow analysis and optimization using response surface method are presented for the design of a jet fan. Steady, incompressible, three-dimensional Reynolds averaged Wavier-Stokes equations are used as governing equations, and standard k-$\epsilon$ turbulence model is chosen as a turbulence model. Governing equations are discretized using finite volume method. Sweep angles and maximum thickness of blade are used as design variables for the shape optimization of the impeller in response surface method. The experimental points which are needed to construct response surface are obtained from the D-optimal design and Full Factorial design and relations between design variables and response surface are examined.

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Performance Optimization of Hypervelocity Launcher System using Experimental Data

  • Huh, Choul-Jun;Lee, Jin-Ho;Bae, Ki-Joon;Jeon, Kwon-Su;Byun, Yung-Hwan;Lee, Jae-Woo;Lee, Chang-Jin
    • Journal of Mechanical Science and Technology
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    • v.18 no.10
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    • pp.1829-1836
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    • 2004
  • This study presents the performance optimization of hypervelocity launcher system by using the experimentall data. During the optimization, the RSM (Response Surface Method) is adopted to find the operating parameters that could maximize the projectile speed. To construct a reliable response surface model, 3 full factorial method is used with the selected design variables, such as piston mass and 2 driver fill pressure. Nine test data could successfully construct the reasonable response surface, which used to yield the optimal operational conditions of the system using the genetic algorithm. The optimization results are confirmed by the experimental test with a good accuracy. Thus, the optimization can improve the performance of the facility.

Design Optimization of Dimple Shape to Enhance Turbulent Heat Transfer (난류열전달 증진을 위한 딤플형상의 최적설계)

  • Choi Ji-Yong;Kim Kwang-Yong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.30 no.7 s.250
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    • pp.700-706
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    • 2006
  • This study presents a numerical procedure to optimize the shape of dimple surface to enhance turbulent heat transfer in a rectangular channel. The response surface based optimization method is used as an optimization technique with Reynolds-averaged Wavier-Stokes analysis of fluid flow and heat transfer with shear stress transport (SST) turbulence model. The dimple depth-to-dimple print diameter ratio, channel height-to-dimple print diameter ratio, and dimple print diameter-to-pitch ratio are chosen as design variables. The objective function is defined as a linear combination of heat transfer related term and friction loss related term with a weighting factor. full factorial method is used to determine the training points as a mean of design of experiment. The optimum shape shows remarkable performance in comparison with a reference shape.

AERODYNAMIC DESIGN OPTIMIZATION OF OA AIRFOIL USING THE RESPONSE SURFACE METHOD (반응면 기법을 사용한 OA 익형의 공력 최적 설계)

  • Sa, J.H.;Park, S.H.;Kim, C.J.;Yun, C.Y.;Kim, S.H.;Kim, S.H.;Lee, J.W.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.51-56
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    • 2009
  • Optimization with metamodel is one of numerical optimization methods. Response surface method is performed for making metamodel. The Hcks-Henne function is used for designing 2D shape of the airfoil and spring analogy is used to change the grid according to the change in shape of the airfoil. Aerodynamic coefficient required for response surface method are obtained by using Navier-Stokes solver with $\kappa-\omega$ shear stress transport turbulence model. For the baseline airfoils, OA 312, OA 309, and OA 407 airfoils select and optimize to improve aerodynamic performance.

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Optimal Design of Multi-DOF Deflection Type PM Motor by Response Surface Methodology

  • Li, Zheng;Zhang, Lu;Lun, Qingqing;Jin, Hongbo
    • Journal of Electrical Engineering and Technology
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    • v.10 no.3
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    • pp.965-970
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    • 2015
  • This paper uses response surface methodology as the optimization method of torque of multi-DOF deflection type PM motor. Firstly, the application of Taguchi algorithm selects structural parameters affecting the motor torque largely which simplifies the optimization process greatly. Then, based on the central composite design (CCD), response surface equation numerical model is constructed by the finite element method. With the aid of experiment design and analysis software, the effects of the interaction among factors on the index are analyzed. The results show that the analytical method is efficient and reliable and the experimental results can be predicted by response surface functions.

An optimal design of wind turbine and ship structure based on neuro-response surface method

  • Lee, Jae-Chul;Shin, Sung-Chul;Kim, Soo-Young
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.4
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    • pp.750-769
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    • 2015
  • The geometry of engineering systems affects their performances. For this reason, the shape of engineering systems needs to be optimized in the initial design stage. However, engineering system design problems consist of multi-objective optimization and the performance analysis using commercial code or numerical analysis is generally time-consuming. To solve these problems, many engineers perform the optimization using the approximation model (response surface). The Response Surface Method (RSM) is generally used to predict the system performance in engineering research field, but RSM presents some prediction errors for highly nonlinear systems. The major objective of this research is to establish an optimal design method for multi-objective problems and confirm its applicability. The proposed process is composed of three parts: definition of geometry, generation of response surface, and optimization process. To reduce the time for performance analysis and minimize the prediction errors, the approximation model is generated using the Backpropagation Artificial Neural Network (BPANN) which is considered as Neuro-Response Surface Method (NRSM). The optimization is done for the generated response surface by non-dominated sorting genetic algorithm-II (NSGA-II). Through case studies of marine system and ship structure (substructure of floating offshore wind turbine considering hydrodynamics performances and bulk carrier bottom stiffened panels considering structure performance), we have confirmed the applicability of the proposed method for multi-objective side constraint optimization problems.

Design Optimization of Three-Dimensional Channel Roughened by Oblique Ribs Using Response Surface Method (반응면 기법을 이용한 경사진 리브가 부착된 삼차원 열전달유로의 최적설계)

  • Kim, Hong-Min;Kim, Kwang-Yong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.7
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    • pp.879-886
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    • 2004
  • A numerical optimization has been carried out to determine the shape of the three-dimensional channel with oblique ribs attached on both walls to enhance turbulent heat transfer. The response surface based optimization is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer. Shear stress transport (SST) turbulence model is used as a turbulence closure. Numerical results fur heat transfer rate show good agreements with experimental data. four dimensionless variables such as, rib pitch-to-rib height ratio, rib height-to-channel height ratio, streamwise rib distance on opposite wall to rib pitch ratio, and the attack angle of the rib are chosen as design variables. The objective function is defined as a linear combination of heat-transfer and friction-loss related coefficients with a weighting factor. D-optimal method is used to determine the training points as a means of design of experiment. Sensitivity of the objective parameters to each design variable has been analyzed. And, optimal values of the design variables have been obtained in a range of the weighting factor.