• 제목/요약/키워드: central composite design method

검색결과 215건 처리시간 0.024초

Construction of Second Order Slope Rotatable Designs Using Symmetrical Unequal Block Arrangements with Two Unequal Block Sizes

  • Babu, B.Re.Victor
    • Journal of the Korean Statistical Society
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    • 제31권2호
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    • pp.153-161
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    • 2002
  • A new method of construction of second order slope rotatable designs (SOSRD) using symmetrical unequal block arrangements (SUBA) with two unequal block sizes is suggested. The proposed method may sometimes lead to designs with less number of design points than those available in the literature. Further, bounds for the parameters of SOSRD are also obtained.

Cost effective optimal mix proportioning of high strength self compacting concrete using response surface methodology

  • Khan, Asaduzzaman;Do, Jeongyun;Kim, Dookie
    • Computers and Concrete
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    • 제17권5호
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    • pp.629-638
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    • 2016
  • Optimization of the concrete mixture design is a process of search for a mixture for which the sum of the cost of the ingredients is the lowest, yet satisfying the required performance of concrete. In this study, a statistical model was carried out to model a cost effective optimal mix proportioning of high strength self-compacting concrete (HSSCC) using the Response Surface Methodology (RSM). The effect of five key mixture parameters such as water-binder ratio, cement content, fine aggregate percentage, fly ash content and superplasticizer content on the properties and performance of HSSCC like compressive strength, passing ability, segregation resistance and manufacturing cost were investigated. To demonstrate the responses of model in quadratic manner Central Composite Design (CCD) was chosen. The statistical model showed the adjusted correlation coefficient R2adj values were 92.55%, 93.49%, 92.33%, and 100% for each performance which establish the adequacy of the model. The optimum combination was determined to be $439.4kg/m^3$ cement content, 35.5% W/B ratio, 50.0% fine aggregate, $49.85kg/m^3$ fly ash, and $7.76kg/m^3$ superplasticizer within the interest region using desirability function. Finally, it is concluded that multiobjective optimization method based on desirability function of the proposed response model offers an efficient approach regarding the HSSCC mixture optimization.

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

  • 박찬경;이광기
    • 대한기계학회논문집A
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    • 제24권3호
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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.

반응표면법을 이용한 대형 L-type 자동화용접장치의 구조최적화 연구 (The structure Optimization Research of the Automation Welding Equipment of the Large L-type Using the Response Surface Method)

  • 장준호;정원지;이동선;정장식;정성호
    • 한국생산제조학회지
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    • 제22권1호
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    • pp.138-144
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    • 2013
  • The automation technology for overlay welding is needed due to the occurrence of severe corrosion and abrasion on the surface of internal contact in different shape of fittings. In Korea, different shapes of fittings have been manufactured by using the imported equipment of overlay welding automation at some companies. Thus the research on the development of overlay welding automation system (in short, OWAS) for a large L-type tube is urgently needed. In this paper, the investigation is focused on the optimal design of a supporting base for the (currently developing) OWAS of large L-type tube. Specifically we assume that the base which supports the equipment during the process of overlay welding is loaded as self-weight in the direction of gravity through static analysis especially when it is rotated 180 degree on the OWAS. For optimal design of a supporting base for OWAS of large L-type tube, Solidworks(R) (for 3-dimensional modelling) and ANASYS Workbench(R) (for structural analysis) are incorporated so as to proceed an optimization routines based on Response Surface Method (RSM) and Design of Experiment (DOE). In more specific, DOE finds out major factors (or dimensions) of the supporting base by using MINITAB(R). Then the regression equations between design variables (the major factors of supporting base) and response variables (deformation, stress and safety factor for the supporting base), which will be resulted in by RSM, verify the major factors of DOE. In the next step, Central Composite Design (CCD) plans 20 simulations of ANASYS Workbench(R) and then figures out the optimal values of design variables which will be reflected on the manufacturing of supporting base. Finally welding experiment is conducted to figure out the influence of overlay welding quality in applying the optimized design values of supporting base to the actual OWAS.

LCD 유리 이송용 복합재료 로봇 핸드의 식스 시그마 강건설계 (Six Sigma Robust Design of Composite Hand for LCD Glass Transfer Robot)

  • 남현욱
    • 대한기계학회논문집A
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    • 제29권3호
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    • pp.455-461
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    • 2005
  • This research studied robust design of composite hand for LTR (LCD glass Transfer Robot). $1^{st}$ DOE (Design of Experiment) was conducted to find out vital few Xs. 108 experiments were performed and their results were statistically analyzed. Pareto chart analysis shows that the geometric parameters (height and width of composite beam) are more important than material parameters $(E_{1},\;E_{2})$ or stacking sequence angle. Also, the stacking sequence of mid-layer is more important than that of outer-layer. The main effect plots shows that the maximum deflection of LTR hand is minimized with increasing height, width of beam and layer thickness. $2^{nd}$ DOE was conducted to obtain RSM (Response Surface Method) equation. 25 experiments were conducted. The CCD (Central Composite Design) technique with four factors was used. The coefficient of determination $(R^{2})$ for the calculated RSM equation was 0.989. Optimum design was conducted using the RSM equation. Multi-island genetic algorithm was used to optimum design. Optimum values for beam height, beam width, layer thickness and beam length were 24.9mm, 186.6mnL 0.15mm and 2402.4mm respectively. An approximate value of 0.77mm in deflection was expected to be a maximum under the optimum conditions. Six sigma robust design was conducted to find out guideline for control range of design parameter. To acquire six sigma level reliability, the standard deviation of design parameter should be con trolled within $2{\%}$ of average design value

Design Optimization and Performance of High Voltage Composite Bushing

  • 조한구;강형경
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2009년도 추계학술대회 논문집
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    • pp.234-234
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    • 2009
  • This paper illustrates the use of electric field computation to optimize the design of high voltage composite bushing. In the bushing, a high electric stress occurred between field shaper and central conductor by the closely space. Also coaxial cylindrical shield has a great height along the axis to control an electric field. Consequently, all the potentials are raised axially along the field shaper and electric stress is concentrated on a part of the surface of the FRP tube near the upper end of the field shaper. Maxwell 2D simulator based on the boundary element method was also introduced in order to verify the reliability of the polymer bushing. The optimized design uses internal elements for electric stress grading at critical parts of the bushing.

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초고압 컴포지트 부싱의 최적설계 및 성능에 관한 연구 (Design Optimization and Performance of High Voltage Composite Bushing)

  • 조한구;김광용
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2010년도 춘계학술대회 논문집
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    • pp.35-35
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    • 2010
  • This paper illustrates the use of electric field computation to optimize the design of high voltage composite bushing. In the bushing, a high electric stress occurred between field shaper and central conductor by the closely space. Also coaxial cylindrical shield has a great height along the axis to control an electric field. Consequently, all the potentials are raised axially along the field shaper and electric stress is concentrated on a part of the surface of the FRP tube near the upper end of the field shaper. Maxwell 2D simulator based on the boundary element method was also introduced in order to verify the reliability of the polymer bushing. The optimized design uses internal elements for electric stress grading at critical parts of the bushing.

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가압경수로용 환형 핵연료의 간극 크기 다중목적 근사최적설계 (Approximate Multi-Objective Optimization of Gap Size of PWR Annular Nuclear Fuels)

  • 도재혁;권영두;이종수
    • 한국정밀공학회지
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    • 제32권9호
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    • pp.815-824
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    • 2015
  • In this study, we conducted the approximate multi-objective optimization of gap sizes of pressurized-water reactor (PWR) annular fuels. To determine the contacting tendency of the inner-outer gaps between the annular fuel pellets and cladding, thermoelastic-plastic-creep (TEPC)analysis of PWR annular fuels was performed, using in-house FE code. For the efficient heat transfer at certain levels of stress, we investigated the tensile, compressive hoop stress and temperature, and optimized the gap sizes using the non-dominant sorting genetic algorithm (NSGA-II). For this, response surface models of objective and constraint functions were generated, using central composite (CCD) and D-optimal design. The accuracy of approximate models was evaluated through $R^2$ value. The obtained optimal solutions by NSGA-II were verified through the TEPC analysis, and we compared the obtained optimum solutions and generated errors from the CCD and D-optimal design. We observed that optimum solutions differ, according to design of experiments (DOE) method.

반응표면분석법에 의한 매입형영구자석동기전동기의 토크와 토크리플을 고려한 설계기법 (A Design Method Considering Torque and Torque-ripple of Interior Permanent Magnet Synchronous Motor by Response Surface Methodology)

  • 백승구;전창성
    • 한국산학기술학회논문지
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    • 제20권6호
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    • pp.557-564
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    • 2019
  • 매입형 영구자석 동기전동기(IPMSM : Interior Permanent Magnet Synchronous Motor, 이하 IPMSM)의 회전자 자석의 크기 및 위치와 고정자 슬롯의 크기는 출력 토크 및 토크 리플률 특성에 영향을 준다. 본 논문은 반응표면분석법(RSM : Response Surface Methodology, 이하 RSM)을 이용한 IPMSM의 토크와 토크 리플률(ripplerate) 향상을 위한 최적설계 방법에 대해 다룬다. 토크 출력과 토크 리플률에 영향을 주는 설계변수에 대하여 Plackett-Burmann(PB, 이하 PB)의 민감도 분석을 통해 토크 출력 및 토크 리플 두 가지 목적함수에 영향이 큰 설계변수를 도출하였다. 도출된 목적함수로부터 2차 설계변수를 선정하였으며 중심합성계획법(CCD : Central Composite Design, 이하 CCD)에 따른 실험계획표 정의 및 해석결과를 통해 RSM의 2차 회귀모형 함수를 추정하였다. 2차 회귀모형함수는 분산분석표(ANOVA table)를 활용한 검증 기준을 통해 신뢰성을 가짐을 확인하였다. 실험계획표에 따른 해석은 유한요소법(FEM : Finite Element Method, 이하 FEM) 해석 소프트웨어인 JMAG을 통하여 실험 결과를 확인하였다. 최적화된 최종 설계변수를 적용한 IPMSM의 최적설계 결과는 토크와 토크 리플률을 모두 고려할 경우, 토크 출력은 11.5 % 증가하였으며 토크 리플률은 9.1 % 감소하였다.

중앙개구부를 갖는 복합신소재 적층 구조의 비선형 동적 거동 (Nonlinear Dynamic Behaviors of Laminated Composite Structures Containing Central Cutouts)

  • 지효선;이상열
    • 한국강구조학회 논문집
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    • 제23권5호
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    • pp.607-614
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    • 2011
  • 본 연구는 복합신소재로 구성된 중앙 개구부를 갖는 적층 판구조의 비선형 동적 거동을 다룬다. 1차 전단 변형 판이론에 기반하여, 비선형 동적 방정식의 해는 Newmark 방법과 Newton-Raphson 반복법을 혼용하여 적용하여 산정하였다. 본 연구에서 개발한 유한요소 해석프로그램을 사용하여 개구부의 크기와 적층 배열의 변화가 판의 기하학적 비선형 거동에 미치는 영향을 상세 분석하였다. 몇 가지 수치해석 결과는 기존 연구자로부터 얻어진 결과와 잘 일치하는 것으로 나타났다. 본 연구의 새로운 결과는 경사 적층 구조의 중앙 개구부의 크기와 적층 배열과의 중요한 상호관계를 보여준다. 몇 가지 수치예제는 개구부를 갖는 적층 판구조를 설계하는데 필요한 가이드라인을 제시하였다.