• Title/Summary/Keyword: 순차적 2차 반응표면법

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Heat Exchanger Optimization using Progressive Quadratic Response Surface Method (순차적 2 차 반응표면법을 이용한 열교환기 최적설계)

  • Park, Kyoung-Woo;Choi, Dong-Hoon;Lee, Kwan-Soo;Kim, Yang-Hyun
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1022-1027
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    • 2004
  • In this study, the shape of plate-fin type heat sink is numerically optimized to acquire the minimum pressure drop under the required temperature rise. To do this, a new sequential approximate optimization (SAO) is proposed and it is integrated with the computational fluid dynamics (CFD). In thermal/fluid systems for constrained nonlinear optimization problems, three fundamental difficulties such as high cost for function evaluations (i.e., pressure drop and thermal resistance), the absence of design sensitivity information, and the occurrence of numerical noise are confronted. To overcome these problems, the progressive quadratic response surface method (PQRSM), which is one of the sequential approximate optimization algorithms, is proposed and the heat sink is optimize by means of the PQRSM.

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Optimal Design of a Heat Sink using the Sequential Approximate Optimization Algorithm (순차적 근사최적화 기법을 이용한 방열판 최적설계)

  • Park Kyoungwoo;Choi Dong-Hoon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.16 no.12
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    • pp.1156-1166
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    • 2004
  • The shape of plate-fin type heat sink is numerically optimized to acquire the minimum pressure drop under the required temperature rise. In constrained nonlinear optimization problems of thermal/fluid systems, three fundamental difficulties such as high computational cost for function evaluations (i.e., pressure drop and thermal resistance), the absence of design sensitivity information, and the occurrence of numerical noise are commonly confronted. Thus, a sequential approximate optimization (SAO) algorithm has been introduced because it is very hard to obtain the optimal solutions of fluid/thermal systems by means of gradient-based optimization techniques. In this study, the progressive quadratic response surface method (PQRSM) based on the trust region algorithm, which is one of sequential approximate optimization algorithms, is used for optimization and the heat sink is optimized by combining it with the computational fluid dynamics (CFD).

Response Surface Optimization of Fermentation Parameters for Citric Acid Production in Solid Substrate Fermentation (고체발효에서 반응표면분석법을 이용한 구연산 생산 최적화)

  • Kim, Jin-Woo
    • Korean Chemical Engineering Research
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    • v.50 no.5
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    • pp.879-884
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    • 2012
  • In this present study, Aspergillus niger NRRL 567 was cultivated on an inert support material and the effects of various fermentation parameters including temperature, nutrient solution pH, inoculation level, and moisture content were observed and optimized by one-factor-at-a-time (OFAT) and response surface methodology (RSM), sequentially. It was found that the incubation temperature of $30^{\circ}C$ with 75% moisture content, nutrient solution pH of 7.1 and inoculation level of $4.0{\times}10^6$ spores/ml were the most favorable. Again, fermentation parameters were optimized using RSM. The determined optimum condition is $26.5^{\circ}C$, pH 9.9, 75.1%, and $6.0{\times}10^6$ spores/ml. Under this optimized condition, A. niger NRRL 567 produced 118.8 g citric acid/kg dry peat moss at 72 hr. Maximum citric acid production of optimized condition by RSM represented a 1.6-fold increase compared to that obtained from control experiment.

Optimization of MOF-801 Synthesis Using Sequential Design of Experiments (순차적 실험계획법을 이용한 MOF-801 합성공정 최적화)

  • Lee, Min Hyung;Yoo, Kye Sang
    • Applied Chemistry for Engineering
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    • v.32 no.6
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    • pp.621-626
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    • 2021
  • A sequential design of experiments was used to optimize MOF-801 synthesis process. For the initial screening, a general 2k factorial design was selected followed by the central composition design, one of the response surface methods. A 23 factorial design based on the molar ratio of fumaric acid, dimethylformamide (DMF), and formic acid was performed to select the more suitable response variable for the design of experimental method among the crystallinity and BET specific surface area of MOF-801. After performing 8 synthesis experiments designed by MINITAB 19 software, the characteristic analysis was performed using XRD analysis and nitrogen adsorption method. The crystallinity with R2 = 0.999 was found to be more suitable for the experimental method than that of BET specific surface area. Based on analysis of variance (ANOVA), it was confirmed that the molar ratio of fumaric acid and formic acid was a major factor in determining the crystallinity of MOF-801. Through the response optimization and contour plot of two factors, the optimal molar ratio of ZrOCl2·8H2O : fumaric acid : DMF : formic acid was 1 : 1 : 39 : 35. In order to optimize the synthesis process, the central composition design on synthesis time and temperature was performed under the identical molar ratio of precursors. The results derived through the designed 9 synthesis experiments were calculated using the quadratic model equation. Thus, the maximum crystallinity of MOF-801 predicted under the synthesis time and temperature of 7.8 h and 123 ℃, respectively.

Robust Design Optimization of the Vehicle Ride Comfort Considering Variation of the Design Parameters (설계변수의 산포를 고려한 차량 승차감의 강건최적설계)

  • Song, Pil-Gon;Spiriyagin, Maksym;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.12
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    • pp.1217-1223
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    • 2008
  • Vehicle vibration mostly originates from the road excitation and causes discomfort, fatigue and even injury to a driver. Vehicle ride comfort is one of the most important performance indices to achieve a high-quality vehicle design. Since design parameter variations inevitably result in the vehicle ride comfort variance, the variance characteristics should be analyzed in the early design stage of the vehicle. The vehicle ride comfort is often defined by an index which employs a weighted RMS value of the acceleration PSD of a seat position. The design solution is obtained through two steps in this study. An optimization problem to obtain a minimum ride comfort index is solved first. Then another optimization problem to obtain minimum variance of the ride comfort index is solved. For the optimization problems, the equations of motion and the sensitivity equations are derived basing on a 5-DOF vehicle model. The numerical results show that an optimal solution for the minimum ride comfort is not necessarily same as that of the minimum variance of the ride comfort.

Optimization of Door Hinges of a Large Refrigerator (대형 냉장고 도어 힌지의 최적 설계)

  • Youn, Seong-Jun;Noh, Yoo-Jeong;Kim, Seok-Ro;Kim, Ji-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.1
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    • pp.71-78
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    • 2014
  • Door hinges of large refrigerators are required to ensure that the doors open and close smoothly in addition to supporting door weights and enduring the impact loads due to door opening and closing. However, door hinge design is difficult because of complex hinge mechanisms and sensitive structural safety. In this study, the mechanism satisfying the required spring response, space constraints, and structural strength is optimized, and the volume of the outer frame covering the hinge mechanism is minimized for reducing production costs. The entire design process is automated using the PIDO(Progress Integration and Design Optimization) technique, which achieves an efficient design process. Therefore, the frame mass is reduced to 24%, and the mechanism performance and structural stability are improved.

An Application of Design of Experiments for Optimization of MOF-235 Synthesis for Acetylene Adsorption Process (아세틸렌 흡착공정용 MOF-235 합성 최적화를 위한 실험 계획법 적용)

  • Cho, Hyungmin;Yoo, Kye Sang
    • Applied Chemistry for Engineering
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    • v.31 no.4
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    • pp.377-382
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    • 2020
  • A sequential design of experiments was employed to optimize MOF-235 synthesis for acetylene adsorption process. Two experimental designs were applied: a two-level factorial design for screening and a central composite design, one of response surface methodologies (RSM). In this study, 23 factorial design of experiment was used to evaluate the effect of parameters of synthesis temperature and time, and also mixing speed on crystallinity of MOF-235. Experiments were conducted 16 times follwing MINITAB 19 design software for MOF-235 synthesis. Half-normal, pareto, residual, main and interaction effects were drawn based on the XRD results. The analysis of variance (ANOVA) of test results depicts that the synthesis temperature and time have significant effects on the crystallinity of MOF-235 (response variable). After screening, a central composite design was performed to optimize the acetylene adsorption capacity of MOF-235 based on synthesis conditions. From nine runs designed by MINITAB 19, the result was calculated using the second order model equation. It was estimated that the maximum adsorption capacity (18.7 mmol/g) was observed for MOF-235 synthesized at optimum conditions of 86.3 ℃ and 28.7 h.