• Title/Summary/Keyword: Factorial design

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Understanding Robust Design with Paper Helicopter Experiment (종이 헬리콥터 실험을 통한 강건설계의 이해)

  • Byun, Jai-Hyun;Kim, Yong Tae;Lee, Min Ji
    • Journal of Korean Institute of Industrial Engineers
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    • v.39 no.5
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    • pp.374-382
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    • 2013
  • Robust design method developed by Genichi Taguchi has been very popular since the 1980s and there have been many academic and applied research works on this topic. However, college students and engineers in companies have had difficulty in understanding the method. This paper presents a procedure to implement the robust design method by an easy-to-execute paper helicopter experiment. A crossed array was adopted, which consists of a resolution IV fractional factorial design with 6 control factors and a factorial design with 3 noise factors. Three performance measures were analyzed; signal-to-noise ratio, mean, and standard deviation of the falling time of the paper helicopter that is to be maximized. Control-noise interaction plots are also given to evaluate the degree of the sensitivity of each level of the control factors to the noise factors. The procedure presented in this paper can be helpful to those who want to have basic knowledge in the robust design method.

A Numerical Study on the Improvement of Performance for the 2 Vane Pump Impeller (2 Vane 펌프 임펠러의 성능 개선에 관한 수치해석적 연구)

  • KIM, SUNG;MA, SANG-BUM;CHOI, YOUNG-SEOK;KIM, JIN-HYUK
    • Transactions of the Korean hydrogen and new energy society
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    • v.31 no.3
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    • pp.293-301
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    • 2020
  • This paper describes a numerical study on the improvement of performance of the 2 vane pump impellers. The design of these impellers was optimized using a commercial computation fluid dynamics code and design of experiments. Geometric design variables were defined by the impeller blade angle distribution. The objective functions were defined as the total head, total efficiency and solid material size of the impellers. The importance of the geometric design variables was analyzed using 2k factorial designs. The interaction between the total head, total efficiency and solid material size, according to the impeller blade angle distribution, is discussed by analyzing the 2k factorial design results.

A Study on Friction Characteristics of Motorcycle Disk Brake Using Design of Experiment (실험계획법을 이용한 이륜자동차 브레이크 디스크의 마찰특성에 관한 연구)

  • Jeun, Hwan-Young;Bae, Hwo-Jun;Park, Kyu-Jung;Ryu, Mi-Ra;Park, Heung-Sik
    • Tribology and Lubricants
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    • v.23 no.4
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    • pp.175-179
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    • 2007
  • The effect of manufacturing parameters on friction characteristics of motorcycle break system was studied using a design of experiment. Such parameters conditions have an effect on the frictional factor such as applied load, sliding speed, and number of ventilated disk hole. However, it is difficult to know the mutual relation of these factors. In this study, the friction characteristics using design of experiment containing 3 elements were investigated for an optimal condition for the best motorcycle break system employing full factorial design. From this study, the result was shown that the applied load in frictional factors was the most important, next to sliding speed, number of ventilated disk hole.

Approximate Optimization of the Steel Wheel's Disc Hole (스틸휠 디스크 홀의 근사최적화)

  • Kim, Woo-Hyun;Cho, Jae-Seng;Yoo, Wan-Suk;Lim, O-Kaung
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.570-573
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    • 2003
  • Wheels for passenger car support the car weight with tires. and they transmit rolling and braking power into the ground. Whittliing away at wheel weight is more effective to boost fuel economy that lighting vehicle body structure. A shape of hole in disk is optimized for minimizing the weight of steel wheel. Pro/ENGINEER program is used for formulating the design model. and ANSYS package is selected for analyzing the design model. It has difficulties 10 interface these commercial software directly. For combining both programs. response surface methodology is applied to construct approximation functions for maximum stresses and maximum displacements are obtained by full factorial design of five levels. This steel wheel is modeled in 14-inch diameter of rim. and wide parameter of hole in disk is only selected as design variable for reducing the weight of steel wheel. PLBA(Pshenichny·Lim-Belegundu_arora) algorithm. which uses the second-order information in the direction finding problem and uses the active set strategy. is used for solving optimization problems.

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Optimum Design of Formed Tool for Die of Bearing Rubber Seal Using Design of Experiments (실험계획법에 의한 자동차용 러버실 금형가공을 위한 총형공구의 최적설계)

  • Lee, Li-Hai;Lim, Pyo;Lee, Hi-Koan;Yang, Gyun-Eui
    • Transactions of the Korean Society of Automotive Engineers
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    • v.15 no.4
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    • pp.47-53
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    • 2007
  • A bearing is one of core parts in automobile. Rubber seal of the bearing is important to improve performance of bearing, formed by hot-press die of rubber seal for the intricate shape. In this study, formed tools are used to machine die of bearing rubber seal and the machining operation is classified into the several process of high precision. Design of experiments is used to optimize selection of the formed tools for the efficient machining of the hot-press die. The cutting force, tool wear and tool life are determined to characteristics. And, the clearance angle, the rake angle and the length cutting edge are considered as the major factors. Experiments are repeated to use one-way factorial design, and tool life is predicted by regression model.

Application of Response Surface Methodology for the Optimization of Process in Food Technology (반응표면분석법을 이용한 식품제조프로세스의 최적화)

  • Sim, Chol-Ho
    • Food Engineering Progress
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    • v.15 no.2
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    • pp.97-115
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    • 2011
  • A review about the application of response surface methodology in the optimization of food technology is presented. The theoretical principles of response surface methodology and steps for its application are described. The response surface methodologies : three-level full factorial, central composite, Box-Behnken, and Doehlert designs are compared in terms of characteristics and efficiency. Furthermore, recent references of their uses in food technology are presented. A comparison between the response surface designs (three-level full factorial, central composite, Box-Behnken and Doehlert design) has demonstrated that the Box-Behnken and Doehlert designs are slightly more efficient than the central composite design but much more efficient than the three-level full factorial designs.

$Gr\ddot{o}bner$ basis versus indicator function (그뢰브너 기저와 지시함수와의 관계)

  • Kim, Hyoung-Soon;Park, Dong-Kwon
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.6
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    • pp.1015-1027
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    • 2009
  • Many problems of confounding and identifiability for polynomial models in an experimental design can be solved using methods of algebraic geometry. The theory of $Gr\ddot{o}bner$ basis is used to characterize the design. In addition, a fractional factorial design can be uniquely represented by a polynomial indicator function. $Gr\ddot{o}bner$ bases and indicator functions are powerful computational tools to deal with ideals of fractions based on each different theoretical aspects. The problem posed here is to give how to move from one representation to the other. For a given fractional factorial design, the indicator function can be computed from the generating equations in the $Gr\ddot{o}bner$ basis. The theory is tested using some fractional factorial designs aided by a modern computational algebra package CoCoA.

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Power study for 2 × 2 factorial design in 4 × 4 latin square design (4 × 4 라틴방격모형 내 2 × 2 요인모형의 검정력 연구)

  • Choi, Young Hun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1195-1205
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    • 2014
  • Compared with single design, powers of rank transformed statistic for testing main and interaction effects for $2{\times}2$ factorial in $4{\times}4$ latin square design are rapidly increased as effect size and replication size are increased. In general powers of rank transformed statistic are superior without regard to the diversified effect composition and the type of error distributions as nontesting factors are few and effect size are small. Powers of rank transformed statistic show much higher level than those of parametric statistic in exponential and double exponential distributions. Further powers of rank transformed statistic are very similar with those of parametric statistic in normal and uniform distributions.