• Title/Summary/Keyword: Response surface design

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Repetitive Response Surface Enhancement Technique Using ResponseSurface Sub-Optimization and Design Space Transformation (반응모델 최적화와 설계공간 변환을 이용한 반복적 반응면 개선 기법 연구)

  • Jeon, Gwon-Su;Lee, Jae-U;Byeon, Yeong-Hwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.1
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    • pp.42-48
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    • 2006
  • In this study, a repetitive response surface enhancement technique (RRSET) is proposed as a new system approximation method for the efficient multidisciplinary design and optimization (MDO). In order to represent the highly nonlinear behavior of the response with second order polynomials, RRSET introduces a design space transformation using stretching functions and repetitive response surface improvement. The tentative optimal point is repetitively included to the set of experimental points to better approximate the response surface of the system especially near the optimal point, hence a response surface with significantly improved accuracy can be generated with very small experimental points and system iterations. As a system optimizer, the simulated annealing, which generates a global design solution is utilized. The proposed technique is applied to several numerical examples, and demonstrates the validity and efficiency of the method. With its improved approximation accuracy, the RRSET can contribute to resolve large and complex system design problems under MDO environment.

Optimization of the Elastic Joint of Train Bogie Using by Response Surface Model (반응표면모델에 의한 철도 차량 대차의 탄성조인트 최적설계)

  • Park, Chan-Gyeong;Lee, Gwang-Gi
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.3 s.174
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    • pp.661-666
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    • 2000
  • Optimization of the elastic joint of train is performed according to the minimization of ten responses which represent driving safety and ride comfort of train and analyzed by using the each response se surface model from stochastic design of experiments. After the each response surface model is constructed, the main effect and sensitivity analyses are successfully performed by 2nd order approximated regression model as described in this paper. We can get the optimal solutions using by nonlinear programming method such as simplex or interval optimization algorithms. The response surface models and the optimization algorithms are used together to obtain the optimal design of the elastic joint of train. the ten 2nd order polynomial response surface models of the three translational stiffness of the elastic joint (design factors) are constructed by using CCD(Central Composite Design) and the multi-objective optimization is also performed by applying min-max and distance minimization techniques of relative target deviation.

Optimization of the Tooth Surface in the Helical Gears Using a Response Surface Method (반응표면법을 이용한 헬리컬기어 치형수정의 최적화)

  • Park, Chan-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.760-763
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    • 2005
  • Optimum design of the tooth surface for the reduction of transmission error is very difficult to determine analytically due to nonlinearity of transmission error under the several load condition. The design of tooth surface that can give a low noise under the various load condition is very important. Therefore, this study proposes the method to determine the optimal lead curve and robust design of the tooth surface by using the response surface method. To do so, the design variables are selected by a screening experiment. Then the fitted regression model Is built with the check of the usefulness of the model. The model with constraints is solved to obtain the optimum values for the lead curve and the robust design fur the tooth surface.

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An efficient Reliability Analysis Method Based on The Design of Experiments Augmented by The Response Surface Method (실험계획법과 반응표면법을 이용한 효율적인 신뢰도 기법의 개발)

  • 이상훈;곽병만
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.700-703
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    • 2004
  • A reliability analysis and design procedure based on the design of experiment (DOE) is combined with the response surface method (RSM) for numerical efficiency. The procedure established is based on a 3$^n$ full factorial DOE for numerical quadrature using explicit formula of optimum levels and weights derived for general distributions. The full factorial moment method (FFMM) shows good performance in terms of accuracy and ability to treat non-normally distributed random variables. But, the FFMM becomes very inefficient because the number of function evaluation required increases exponentially as the number of random variables considered increases. To enhance the efficiency, the response surface moment method (RSMM) is proposed. In RSMM, experiments only with high probability are conducted and the rest of data are complemented by a quadratic response surface approximation without mixed terms. The response surface is updated by conducting experiments one by one until the value of failure probability is converged. It is calculated using the Pearson system and the four statistical moments obtained from the experimental data. A measure for checking the relative importance of an experimental point is proposed and named as influence index. During the update of response surface, mixed terms can be added into the formulation.

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Structural Optimization for Small Scale Vertical-Axis Wind Turbine Blade using Response Surface Method (반응표면법을 이용한 소형 수직축 풍력터빈 블레이드의 구조 최적화)

  • Choi, Chan-Woong;Jin, Ji-Won;Kang, Ki-Weon
    • The KSFM Journal of Fluid Machinery
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    • v.16 no.4
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    • pp.22-27
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    • 2013
  • The purpose of this paper is to perform the structural design of the small scale vertical-axis wind turbine (VAWT) blade using a response surface method(RSM). First, the four design factors that have a strong influence on the structural response of blade were selected. Analysis conditions were calculated by using the central composite design(CCD), which is a typical design of experiment for the response surface method(RSM). Also, the significance of the central composite design(CCD) was verified using analysis of variance(ANOVA). The finite element analysis was performed for the selected analytical conditions for the application of response surface method(RSM). Finally, a optimization problem was solved with a objective function of blade weight and a constraint of allowable stress to achieve a optimal structural design of blade.

Construction of Insulator and Isolator Database by Using Response Surface Model based on Taguchi's Orthogonal Array (다구찌 직교배열의 반응표면모델에 의한 흡차음재 소재 DB 구축)

  • Lee, Kwang-Ki;Kim, Byung-Hoon;Jun, In-Ki;Kang, Kyung-Soon;Kim, Ok-Bin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.619-624
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    • 2000
  • Design of experiments based on Taguchi's orthogonal array is utilized for exploring the design space and for building response surface models of insulator and isolator database in order to facilitate the effective solution of multi-objective optimization commonly occurred in NVH problems. Response surface models, called engineering database of design space, provide an efficient means to rapidly model the trade-off among many conflicting NVH goals in automotive. In the design of insulator and isolator in automotive interior part, it is important not only to construct effective matrices of NVH but also to build up engineering database of current products. The experimental design especially based on orthogonal array and the nonlinear optimization algorithms are successfully used together to obtain the optimal design of insulator and isolator. The $2^{nd}$ order response surface models of absorption coefficient and insertion loss are constructed by using modified Taguchi's $L_{12}2^13^7$ orthogonal array and successfully used in optimal design of insulator and isolator.

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Optimal Design of a Washer using a Response Surface Method (반응표면분석법을 이용한 세탁기의 최적설계)

  • Han, Hyeong-Seok;Kim, Tae-Yeong;Park, Tae-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.11 s.170
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    • pp.1871-1877
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    • 1999
  • An optimal design method using a response surface method for dynamic characteristics of a washer is presented. The proposed method uses the design of experiment and a computer model is used for the experiment. The value of the cost function is estimated using a computer model for each case of the design variable variation. An orthogonal array is used to obtain best cases to be considered with minimum number of experimentation. Using these experimental values, optimal design is performed using a response surface method. The method used in this paper can be applied to any complicated mechanical systems that can be modelled and analyzed by a computer program. The method is applied to the design of dynamic characteristics of a washer.

Optimization of Ultrasonic Imprinting Using the Response Surface Method (반응표면법을 이용한 초음파 임프린팅 공정의 최적화)

  • Jung, W.S.;Cho, Y.H.;Park, K.
    • Transactions of Materials Processing
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    • v.22 no.1
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    • pp.36-41
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    • 2013
  • The present study examines the micro-pattern replication on a plastic film using ultrasonic imprinting. Ultrasonic imprinting uses ultrasonic waves to generate repetitive microscale deformation in the polymer film. The resulting deformation heat on the surface of the film causes the surface region to soften sufficiently so that a replication of the micro-pattern can be obtained. To successfully replicate the micro-pattern on a large area of polymer film, a high replication ratio is needed as well as good uniformity over the entire region. In this study, a horn design is investigated by finite element analysis and is optimized through a response surface analysis. In the ultrasonic imprinting experiments, the response surface method was also used to determine the optimal processing conditions for better replication characteristics.

Optimal Design of a Parallel-Flow Heat Exchanger by Using a Response Surface Method (반응표면법을 이용한 평행류 열교환기의 설계인자 최적화)

  • Oh, Seok-Jin;Lee, Kwan-Soo
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1028-1033
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    • 2004
  • The heat and flow characteristics in a single-phase parallel-flow heat exchanger was examined numerically to obtain its optimal shape. A response surface method was introduced to predict its performance approximately with respect to design parameters over design domain. Design parameters are inflow and outflow angle of the working fluid and horizontal and vertical location of inlet and outlet. The evaluation of the relative priority of the design parameters was performed to choose three important parameters in order to use a response surface method. A JF factor was used as an evaluation characteristic value to consider the heat transfer and the pressure drop simultaneously. The JF factor of the optimum model, compared to that of the base model, was increased by about 5.3%.

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A Robust and Computationally Efficient Optimal Design Algorithm of Electromagnetic Devices Using Adaptive Response Surface Method

  • Zhang, Yanli;Yoon, Hee-Sung;Shin, Pan-Seok;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • v.3 no.2
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    • pp.207-212
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    • 2008
  • This paper presents a robust and computationally efficient optimal design algorithm for electromagnetic devices by combining an adaptive response surface approximation of the objective function and($1+{\lambda}$) evolution strategy. In the adaptive response surface approximation, the design space is successively reduced with the iteration, and Pareto-optimal sampling points are generated by using Latin hypercube design with the Max Distance and Min Distance criteria. The proposed algorithm is applied to an analytic example and TEAM problem 22, and its robustness and computational efficiency are investigated.