• Title/Summary/Keyword: factorial method

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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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Optimal Design of a Linear DC Motor using Statistc Method (통계적 방법을 이용한 선형 직류전동기의 최적설계)

  • 김성수;김동희;노채균
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.15 no.6
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    • pp.97-102
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    • 2001
  • This paper is concerned with optimal design of a linear DC motor which is steading fast in OA and FA systems due to simplicity in structure high-speed operation and high-precision positioning. The approach is based on the statistic method. In this study, firstly, we determine factors that affect significantly the objective function using 2-level factorial design. And then the Response Surface Methodology was app1ied to optimize these factors. Through this application design factors could be optimized within a short term and low experimental cost.

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$ fractional factorial designs of resolution V and taguchi method

  • 김상익
    • The Korean Journal of Applied Statistics
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    • v.5 no.1
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    • pp.19-28
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    • 1992
  • In this paper, minimal balanced $2^t$ fractional factorial designs which permit the estimation of main effects and 2-factor interactions are developed by using a partially balanced array. Such designs are characterized by a minimum number of runs and some balancedness property of the variance-covariance matrix of the estimates. In addition to describing the designs, optimality criteria are discussed and the trace-optimal designs are presented. The proposed designs are especially useful in Taguchi method, where we need to investigate up to 2-factor interactions of the control factors.

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Quantitative Analysis of Taurine Using Near Infrared Spectrometry (NIRS) (근적외선 분광분석법을 이용한 타우린의 정량 분석)

  • Cho, Chang-Hee;Kim, Hyo-Jin;Meang, Dae-Young;Seo, Sang-Hun;Cho, Jung-Hwan
    • YAKHAK HOEJI
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    • v.42 no.6
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    • pp.545-551
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    • 1998
  • Near Infrared transmittance Spectroscopy (NIRS) was used to evaluate and quantify the pharmaceutical active compounds. In the paper, taurine (2-Aminoethanesulfonic acid) was quantitatively analyzed in commercial pharmaceutical preparations. For calibration a central composite factorial design was used to determine concentrations of ingredients in reference samples. For the quantitative analysis of taurine, the most suitable data analysis method includes the calculation of second derivatives and a partial least squares regression (PLSR) model. By NIR spectrometry, combined with PLSR, the taurine concentration was successfully predicted with a relative standard error of prediction (SEP) lower than 1.04%.

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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.

Optimization of Silver Nanoparticles Synthesis through Design-of-Experiment Method (실험계획법을 활용한 은 나노 입자의 합성 및 최적화)

  • Lim, Jae Hong;Kang, Kyung Yeon;Im, Badro;Lee, Jae Sung
    • Korean Chemical Engineering Research
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    • v.46 no.4
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    • pp.756-763
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    • 2008
  • The aim of this work was to obtain uniform and well-dispersed spherical silver nanoparticles using statistical design-of-experiment methods. We performed the experiments using 2 k fractional factorial designs with respect to key factors of a general chemical reduction method. The nanoparticles prepared were characterized by SEM, TEM and UV-visible absorbance for particle size, distribution, aggregation and anisotropy. The data obtained were analyzed and optimized using a statistical software, Minitab. The design-of-experiment methods using quantified data enabled us to determine key factors and appreciate interactions between factors. The measured properties of nanoparticles were dominated not only by individual one or two main factors but also by interactions between factors. The appropriate combination of the factors produced small, narrow-distributed and non-aggregated silver nanoparticles of about 30 nm with approximately 10% standard deviation.

Identifying Factors Affecting Surface Roughness with Electropolishing Condition Using Full Factorial Design for UNS S31603 (UNS S31603에 대하여 완전요인설계를 이용한 전해연마조건에 따른 표면 거칠기의 유효인자 산출)

  • Hwang, Hyun-Kyu;Kim, Seong-Jong
    • Corrosion Science and Technology
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    • v.21 no.4
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    • pp.314-324
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    • 2022
  • The objective of this investigation was to indentify major factors affecting surface roughness among various parameters of electropolishing process using the design of an experiment method (full factorial design) for UNS S31603. Factors selected included electrolyte composition ratio, applied current density, and electrolytic polishing time. They were compared through analysis of variance (ANOVA). Results of ANOVA revealed that all parameters could affect surface roughness, with the influence of electrolyte composition ratio being the highest. As a result of surface analysis after electropolishing, the specimen with the deepest surface damage was about 35 times greater than the condition with the smallest surface damage. The largest value of surface roughness after electropolishing was higher than that of mechanical polishing due to excessive processing. On the other hand, the smallest value of surface roughness after electropolishing was 0.159 ㎛, which was improved by more than 80% compared to the previous mechanical polishing. Taken all results together, it is the most appropriate to perform electrolytic polishing with a sulfuric acid and phosphoric acid ratio of 3:7, an applied current density of 300 mA/cm2, and anelectrolytic polishing time of 5 minutes.

Neuro-Fuzzy System for Predicting Optimal Weld Parameters of Horizontal Fillet welds

  • Moon, H.S.;Na, S.J.
    • International Journal of Korean Welding Society
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    • v.1 no.2
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    • pp.36-44
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    • 2001
  • To get the appropriate welding process variables, mathematical modeling in conjunction with many experiments is necessary to predict the magnitude of weld bead shape. Even though the experimental results are reliable, it has a difficulty in accurately predicting welding process variables for the desired weld bead shape because of nonlinear and complex characteristics of welding processes. The welding condition determined for the desired weld bead shape may cause the weld defect if the welding current/voltage/speed combination is improperly selected. In this study, the $2^{n-1}$ fractional factorial design method and correlation parameter were used to investigate the effect of the welding process variables on the fillet joint shape, and the multiple non-linear regression analysis was used for modeling the gas metal arc welding(GMAW)parameters of the fillet joint. Finally, a fuzzy rule-based method and a neural network method were proposed so that the complexity and non-linearity of arc welding phenomena could be effectively overcome. The performance of the proposed neuro-fuzzy system was evaluated through various experiments. The experimental results showed that the proposed neuro-fuzzy system could effectively check the welding conditions as to whether or not weld defects would occur, and also adjust the welding conditions to avoid these weld defects.

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A Study on Optimal Operation Conditions for an Electronic Device Alignment System by Using Design of Experiments (실험계획법을 이용한 전자부품 위치정렬장치 최적 운영조건 사례연구)

  • Lee, Dong Heon;Lee, Mi Lim;Bae, Suk Joo
    • Journal of Korean Society for Quality Management
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    • v.43 no.3
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    • pp.453-466
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    • 2015
  • Purpose: The purpose of this study is to design a systematic method to estimate optimal operation conditions of design variables for an electronic device alignment system. Method: The 2-level factorial design and the central composite design are used in order to plan experiments. Based on the experiment results, a regression model is established to find optimal conditions for the design variables. Results: 3 of 5 design variables are selected as major factors that affect the alignment system significantly. The optimized condition for each variable is estimated by using a sequential experiment plan and a quadratic regression model. Conclusion: The method designed in this study provides an efficient and systematic plan to select the optimized operation condition for the design variables. The method is expected to improve inspection accuracy of the system and reduce the development cost and period.

Assessment of Zinc Requirement for Human (인체의 아연필요량 측정방법)

  • 윤진숙
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.24 no.2
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    • pp.346-353
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    • 1995
  • The dietary requirement for zinc to maintain optimally the various metabolic and physiological funcitons is still under study. Human beings adapt to reductions in zinc intake by reducing the rate of growth or zinc excretion. Reductions in dietary zinc beyond the capacity to maintain homeostasis lead to utilization of zinc from an exchangeable pool. Loss of a small, critical amount of zinc from this pool leads to both biochemical and clinical signs of zinc deficiency. Zinc requirements have been assessed by balance studies and factorial method. As tissue zinc status influences endogenous losses and the dietary needs, individuls in good status may require higher amounts of zinc than those in poor status. While plasma zinc is insensitive to reducitons in dietary zinc, it is regarded as a valid, useful indicator of the exchangeable pool of zinc. Plasma metallothionein concentrations may prove useful for identifying poor zinc status. It has been suggested that functional end point measurement is the new direciton for zinc requirement. However, determination of the functional response to a marginal zinc intake is difficult because of the lack of a specific, sensitive indicator of zinc status. Presently, no good method for assessment of human zinc requirements exists.

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