• 반도체디스플레이기술학회지
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• 제12권4호
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• pp.9-13
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• 2013

Lapping is a very complicated and random process resulting from the variation of abrasive grains in its sizes and shapes and from the numerous factors having an effect on the process quality. This paper presents a study of a $2^4$ full factorial experimental design and analysis to optimize surface quality in lapping operation. The optimization of the factors to obtain minimum surface roughness was carried out by incorporating effect plots, main effect plots, interaction plots, analysis of variance(ANOVA), surface plots, and contour plots. The statistical design experiments, designed to reduce the total number of experiments required, indicated that, within the selected conditions, all the parameters influenced at a significance level of 5%. In addition, some of the possible interactions between these parameters also influenced the lapping process, especially those that were of third order. A regression model was suggested and fitted the experimental data very well.

• 생명과학회지
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• 제33권3호
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• pp.268-276
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• 2023

본 연구는 carvedilol과 ivabradine의 이층정 제형 개발에 있어 carvedilol 속방층의 제형조건을 최적화하기 위해 수행되었다. Full-factorial design of experiments를 사용하여 carvedilol 속방층(wet granulation part)의 첨가제(microcrystalline cellulose, citric acid, crospovidone) 및 타정 시 공정변수(main compression)를 확인하였고 각 독립변수에 대한 7가지 종속변수(함량, 함량 균일성, 경도, 마손도, 붕해, 용출(pH 1.2 및 6.8)를 design expert software를 사용하여 평가하였다. Design of experiments (DoE) 실험에서 도출된 Analysis of Variance (ANOVA) 결과를 통해 main compression은 경도, 마손도, 붕해 시간에 유의한 영향을 주었고, microcrystalline cellulose는 마손도, 용출에 주요한 영향을 주었음을 확인하였다. 또한, citric acid는 마손도, crospovidone은 마손도, 용출에 주요한 영향을 주었음을 확인하였다. DoE실험 결과를 종합하여 최종적으로 도출된 설계공간에 따라 microcrystalline cellulose (약 18.0-32.0 mg), citric acid (약 0.5-12.0 mg), main compression (약 615-837 kgf)의 최적의 범위 내에서 초기 위험평가에서 평가된 모든 위험요인이 제거된 carvedilol 속방층의 최적 제조 범위를 확인하였다.

• 산업식품공학
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• 제15권2호
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• pp.97-115
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• 2011

이 총설에서는 반응표면분석법을 이용하여 식품제조프로세스를 최적화하는 방법에 대하여 검토하였다. 반응표면분석을 수행하기 위한 절차와 반응표면분석의 필수적인 기본이론을 설명하였고, 반응표면분석법 중에서도 대부분 사용되는 2차 실험계획법(3인자 완전요인, 중심합성, Box-Behnken, 및 Doehlert 계획법)들에 대한 장단점 및 효율성을 비교하였다. 식품제조프로세스를 최적화하는데 반응표면분석법을 적용하기 위해서는 우선 실험계획을 선택하고, 적절한 모델함수를 적합화한 다음, 적합화된 모델의 질 및 실험데이터와의 예측의 정확성을 평가할 필요가 있다. 식품제조프로세스를 최적화할 때 일부요인계획, 완전요인계획 및 Plackett-Burman 계획 등과 같은 실험계획법을 사용하여 중요한 실험인자를 일차적으로 스크린한 다음, 2차 실험계획법을 선택하는 것이 바람직하다. 실제적으로 최적실험조건을 찾기 위해서는 F-test, 수정 $R^2$ 등과 같은 분산분석을 사용하여 모델을 적합화하는 것이 바람직하다. Doehlert 계획과 Box-Behnken 계획은 중심합성계획법보다 좀 더 효율적이며, 최근에는 이 계획들을 적용한 문헌의 수가 증가하고 있는 추세이다. 더욱이 이 계획들은 3수준 완전요인계획법보다는 비교할 필요도 없이 훨씬 더 효율적이다. Box-Behnken설계는 식품분야에서와 같이 극한조건(즉, 인자들이 동시에 가장 높거나 혹은 가장 낮은 수준의 실험 조건)하에서 실험을 하는 것을 피하고자 할 때 유용하다. Doehlert 계획에서는 각 인자들의 수준(level)이 다르기 때문에, 몇몇 인자들이 가격적인 면에서 그리고(혹은) 장비사용에 제약을 받는 제한이 있다든지 혹은 인자의 중요도에 따라 수준의 수를 조절해야 할 필요가 있을 때에는 Doehlert 계획이 아주 유용하다. 종래에는 반응표면분석법의 2차 회귀모델 실험계획법 중에서 다른 계획법(Box-Behnken 계획 및 Doehlert 계획)에 비해 중심합성계획법을 압도적으로 많이 적용해 왔다. 그러나 Box-Behnken 계획 및 Doehlert 계획은 중심합성계획법보다 장점이 많기 때문에, 향후에는 Doehlert 계획과 Box-Behnken 계획을 사용하여 식품제조프로세스를 최적화하는 쪽으로 초점이 맞추어 지리라고 전망한다.

• Tribology and Lubricants
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• 제24권6호
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• pp.308-314
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• 2008

The thermal stress have an effect on the frictional factor such as applied load, sliding speed, sliding distance and number of ventilated disk hole. However, it is difficult to know the mutual relation of these factors on thermal stress of motorcycle break disk. For this, temperature of motorcycle break disk is measured using a disk-on-pad type friction tester with full factorial design containing above 4 elements. and the thermal stress analysis of it was carried out using with ANSYS workbench. From this study, the result was shown that the regression equation which have a trust rate of 95% for thermal stress presumption of motorcycle break disk with frictional factor was composed. It is possible to apply for another automobile parts.

• International Journal of Korean Welding Society
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• 제3권2호
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• pp.15-23
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• 2003

A genetic algorithm was applied to an arc welding process to determine near optimal settings of welding process parameters which produce good weld quality. This method searches for optimal settings of welding parameters through systematic experiments without a model between input and output variables. It has an advantage of being able to find optimal conditions with a fewer number of experiments than conventional full factorial design. A genetic algorithm was applied to optimization of weld bead geometry. In the optimization problem, the input variables were wire feed rate, welding voltage, and welding speed, root opening and the output variables were bead height, bead width, penetration and back bead width. The number of level for each input variable is 8, 16, 8 and 3, respectively. Therefore, according to the conventional full factorial design, in order to find the optimal welding conditions, 3,072 experiments must be performed. The genetic algorithm, however, found the near optimal welding conditions from less than 48 experiments.

• Journal of Welding and Joining
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• 제18권5호
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• pp.63-69
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• 2000

A genetic algorithm was applied to an arc welding process to determine near optimal settings of welding process parameters which produce good weld quality. This method searches for optimal settings of welding parameters through systematic experiments without a model between input and output variables. It has an advantage of being able to find optimal conditions with a fewer number of experiments than conventional full factorial design. A genetic algorithm was applied to optimization of weld bead geometry. In the optimization problem, the input variables was wire feed rate, welding voltage, and welding speed and the output variables were bead height, bead width, and penetration. The number of level for each input variable is 16, 16, and 8, respectively. Therefore, according to the conventional full factorial design, in order to find the optimal welding conditions, 2048 experiments must be performed. The genetic algorithm, however, found the near optimal welding conditions from less than 40 experiments.

• Communications for Statistical Applications and Methods
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• 제14권3호
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• pp.483-495
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• 2007

In a general fractional factorial design, the n-levels of a factor are coded by the $n^{th}$ roots of the unity. Pistone and Rogantin (2007) gave a full generalization to mixed-level designs of the theory of the polynomial indicator function using this device. This article discusses the optimal blocking scheme for nonregular designs. According to hierarchical principle, the minimum aberration (MA) has been used as an important criterion for selecting blocked regular fractional factorial designs. MA criterion is mainly based on the defining contrast groups, which only exist for regular designs but not for nonregular designs. Recently, Cheng et al. (2004) adapted the generalized (G)-MA criterion discussed by Tang and Deng (1999) in studying $2^p$ optimal blocking scheme for nonregular factorial designs. The approach is based on the method of replacement by assigning $2^p$ blocks the distinct level combinations in the column with different blocks. However, when blocking level is not a power of two, we have no clue yet in any sense. As an example, suppose we experiment during 3 days for 12-run Plackett-Burman design. How can we arrange the 12-runs into the three blocks? To solve the problem, we apply G-MA criterion to nonregular mixed-level blocked scheme via the mixed-level indicator function and give an answer for the question.

• Tribology and Lubricants
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• 제23권4호
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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.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2003년도 춘계학술대회
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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.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2004년도 추계학술대회 논문집
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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.