• Title/Summary/Keyword: Response Surface method

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Shape Optimization of Cut-Off in a Multi-blade Fan/Scroll System Using Response Surface Method (반응표면법을 이용한 다익 홴/스크롤 시스템의 설부에 대한 형상 최적화)

  • 한석영;맹주성;황영민
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.1
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    • pp.225-231
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    • 2003
  • In order to improve efficiency of a system with three-dimensional flow characteristics, this paper presents a new method that overcomes three-dimensional effects by using two-dimensional CFD and response surface method. The method was applied to shape optimization of cut-off in a multi-blade fan/scroll system. As the entrance conditions of two-dimensional CFD, the experimental values at the positions out of the inactive zone were used. In order to examine the validity of the two-dimensional CFD the distributions of velocity and pressure obtained by two-dimensional CFD were compared with those of three-dimensional CFD and experimental results. It was found that the distributions of velocity and pressure show qualitatively similarity. The results of two-dimensional CFD were used for constructing the objective function with design variables using response surface method. The optimal angle and radius of cut-off were determined as $72.4^{\circ}$ and 0.092 times the outer diameter of impeller, respectively. It is quantified the previous report that the optimal angle and radius of cut-off are approximately $72^{\circ}$ and 0.08 times the outer diameter of impeller, respectively.

Sequential Approximate Optimization Based on a Pure Quadratic Response Surface Method with Noise Filtering (노이즈 필터링을 적용한 반응표면 기반 순차적 근사 최적화)

  • Lee Yongbin;Lee Ho-Jun;Kim Min-Soo;Choi Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.6 s.237
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    • pp.842-851
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    • 2005
  • In this paper, a new method for constrained optimization of noisy functions is proposed. In approximate optimization using response surface methods, if constraints have severe noise, the approximate feasible region defined by approximate constraints is apt to include some of the infeasible region defined by actual constraints. This can cause the approximate optimum to converge into the infeasible region. In the proposed method, the approximate optimization is performed with the approximate constraints shifted by their deviations, which are calculated using a diagonal quadratic response surface method. This can prevent the approximate optimum from converging into the infeasible region. To fit the objective and constraints into diagonal quadratic models, we select the center and 4 additional points along each axis of design variables as experimental points. The deviation of each function is calculated using the differences between the real and approximate function values at the experimental points. A sequential approximate optimization technique based on the trust region algorithm is adopted to manage approximate models. The proposed approach is validated by solving some design problems. The results of the problems show the effectiveness of the proposed method.

Optimum Design of Surface Aerator Using Response Surface Method (반응표면 기법을 이용한 생물반응조 표면포기기 최적설계)

  • Yoon, Jong-Hwan
    • Journal of the Korean Society of Visualization
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    • v.7 no.2
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    • pp.47-55
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    • 2010
  • In this study, we optimized the shape of the surface aerator that will be installed in a biological reactor using the response surface method. Response surfaces of mass flow rate, impeller torque, mass flow rate per impeller torque are generated and used to track the optimum shape of the aerator. MOGA(Multi-Objective Genetic Algorithm)method is adopted to find the optimum results. By increasing the mass flow rate per impeller torque, increase of oxygen supply efficiency to a reactor is anticipated. To verify the usability of the surface aerator, PIV measurements on flow fields inside a scale-downed biological reactor model are carried out.

Efficient Response Surface Modeling using Sensitivity (민감도를 이용한 효율적인 반응표면모델생성)

  • Wang, Se-Myung;Kim, Chwa-Il
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1882-1887
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    • 2003
  • The response surface method (RSM) became one of famous meta modeling techniques, however its approximation errors give designers several restrictions. Classical RSM uses the least squares method (LSM) to find the best fitting approximation models from the all given data. This paper discusses how to construct RSM efficiently and accurately using moving least squares method (MLSM) with sensitivity information. In this method, several parameters should be determined during the construction of RSM. Parametric study and optimization for these parameters are performed. Several difficulties during approximation processes are described and numerical examples are demonstrated to verify the efficiency of this method.

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Application of Response Analysis to Trade-off Methods for the Conceptual Design of Armored Vehicle (장갑차량의 개념설계를 위한 대안분석에서의 응답표면분석법 적용)

  • 신용석;이희각;김진우
    • Journal of the Korea Institute of Military Science and Technology
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    • v.2 no.2
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    • pp.24-29
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    • 1999
  • The purpose of this study is to develop a method of applying response surface analysis to trade-off techniques for the conceptual design of armored vehicle. The problem areas of concern are the use of this method in the selection of optimum design points when user requirements are in conflict. The application of this method to trade-offs of performance parameters in terms of weight are presented.

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Reliability Analysis of Pile Type Quaywall Using Response Surface Method (응답면 기법을 이용한 잔교식 안벽의 신뢰성 해석)

  • Lee, Sang-Geun;Kim, Dong-Hyawn
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.23 no.6
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    • pp.407-413
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    • 2011
  • Reliability analysis of pile type quaywalls were done by using response surface method. Pier structures have implicit form of limit state function since they are flexible in motion, which is different from gravity type quaywalls. To solve a reliability analysis problem with implicit limit state function, response surface method was applied. Reliability indices of structure under seismic load were found for pier structures Then, they were compared with those found by simulation method. In numerical analysis, both the inclined type and vertical type were analyzed.

An efficient response surface method considering the nonlinear trend of the actual limit state

  • Zhao, Weitao;Qiu, Zhiping;Yang, Yi
    • Structural Engineering and Mechanics
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    • v.47 no.1
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    • pp.45-58
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    • 2013
  • In structural reliability analysis, the response surface method is a powerful method to evaluate the probability of failure. However, the location of experimental points used to form a response surface function must be selected in a judicious way. It is necessary for the highly nonlinear limit state functions to consider the design point and the nonlinear trend of the limit state, because both of them influence the probability of failure. In this paper, in order to approximate the actual limit state more accurately, experimental points are selected close to the design point and the actual limit state, and consider the nonlinear trend of the limit state. Linear, quadratic and cubic polynomials without mixed terms are utilized to approximate the actual limit state. The direct Monte Carlo simulation on the approximated limit state is carried out to determine the probability of failure. Four examples are given to demonstrate the efficiency and the accuracy of the proposed method for both numerical and implicit limit states.

Optimal Structural Design and Fatigue Analysis of Radius Rod by Response Surface Method (반응표면법에 의한 레디어스로드 최적구조설계 및 피로해석)

  • Park, Sohyeon;Kim, Eunsung;Oh, Sangyeob;Yu, Hyosun;Yang, Sungmo;Kim, YongKwan
    • Transactions of the Korean Society of Automotive Engineers
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    • v.22 no.1
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    • pp.29-35
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    • 2014
  • This paper aims to obtain the effect of lightweight on Radius rod. The response surface method used in the paper is the statistical method. Optimization method is performed with the Radius rod using the lightweight material. Structural analysis is executed by using the ANSYS program to find static and dynamic responses. From this study result, it is verified that the response surface method has the advantage of optimum value in comparison with other optimization methods. The analysis is also performed by response surface method to derive optimal design values. Steel model and aluminium initial model are obtained by finite element analysis to clarify design criteria and the results are compared with three models each other. The weights can be reduced by optimal design analysis results of these models similar to those of existing products. The quantitative goals in this study can also attained through results of fatigue analyses. The reliability on optimal design of Radius rod can be improved by use of structural and fatigue analysis results.

Optimum Design of a Perpendicular Permanent Magnet Double-sided Linear Synchronous Motor using Response Surface Method (반응표면법을 이용한 수직배열형 양측식 영구자석 선형 동기전동기의 최적설계)

  • Kim, Chang-Eob
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.30 no.2
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    • pp.26-30
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    • 2016
  • This paper presented an optimum design of a perpendicular PMDSLSM (Permanent Magnet Double-sided Linear Synchronous Motor) to minimize the detent force. As an optimum method, the response surface method was used and 3D finite element method for the calculation. The design variables of the machine were the primary core width and thickness, and magnet width, thickness and length. Object functions were to minimize the detent force and maximize the thrust of the basic model. The results showed that the thrust force of the optimum design increased from 82.1N to 90.2N and detent force decreased from 15.2N to 2.8N, respectively, compared to the basic model.

Optimum Design of BLDC Motor Magnet Using Genetic Algorithm and Response Surface Method (유전알고리즘과 반응표면법을 이용한 BLDC 전동기용 영구자석 최적설계)

  • Kim, Chang-Eob;Jeon, Mun-Ho
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.6
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    • pp.152-157
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    • 2004
  • In this paper, an optimum design method is presented for BLDC moor magnet using genetic algorithm(GA) and response surface method(RSM). The cogging torque is calculated by finite element method for the designs obtained by GA and RSM. The results are compared and discussed for the simulation time and the cogging torque.