• Title/Summary/Keyword: Rotatable central composite design

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Shape Optimization of Grinding Spindle using Response Surface Analysis (반응표면분석을 이용한 연삭가공용 스핀들 형상 최적화)

  • Bae, Gyeong-Tae;Kim, Gwi-Nam;Choi, Boo-Young;Moon, Hong-Man;Noh, Jung-Pil;Huh, Sun-Chul
    • Journal of Ocean Engineering and Technology
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    • v.29 no.1
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    • pp.56-61
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    • 2015
  • To improve the accuracy of a machine, research needs to be conducted on the relationship between the output variables and design variables of a spindle-shaped part from the thermal and static viewpoints. Therefore, research was carried out by examining the correlation of each variable to find the optimum conditions. Moreover, DOE (design of experiments) was extensively used. The model used in this study was a grinding spindle to which a hydrostatic bearing was applied. This model was used in a preliminary analysis based on the experimental results of the previous studies. The influences of the output variables and design variables were compared through a main effect analysis. Generated response surfaces were applied to the Kriging model. To optimize the model, a screening method was selected. In comparison with the initial model, the deformation of the optimized model designed by DOE decreased by 4.1 μm, while the thermal deformation decreased by 1.2 μm. Therefore, it was efficient to design a spindle-shaped part through DOE to improve the accuracy of the machine.

Prediction of Physical Properties in the Design of Mono-Acetate Filter Cigarette by Response Surface Methodology (반응표면 실험 계획법에 의한 Mono-Acetate 필터담배 설계의 물리성 예측)

  • 김영호;이영택;김성한;김윤동;임광수;김용태
    • Journal of the Korean Society of Tobacco Science
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    • v.16 no.1
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    • pp.3-13
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    • 1994
  • To minimize the time ordinarily spent in mono filter cigarette design, we studied the relationship between major seven independant variables ; filament(X1) and total denier(X2), porosity of the aller plug wrap(X3), filter length(X4), Porosity of the tip paper(X5) and cigarette paper(X6) and net weight of the reference cut tobacco(X7). Ninty trial numbers were obtained as a results of using rotatable central composite design and it is analyzed by the multiple regression analysis with stepwise in SAS/pc under restricted conditions. That is, UPD (Y1) = 82.96 - 3.80X1 + 2.50X2 - 3.29X3 - 3.15X5 - 0.83X22 + 1.88X5X6 - 1.38 X5X7(R2: 0.63), EPD(Y2) : 120.91 - 5.70X1 + 3.60X2 + 4.23X4 - 0.93X6 + 4.06X7 (R2=0.84), TVR(Y3) = 49.70 - 0.78X1 + 3.60X3 + 2.00X4 + 4.20X5 - 0.93X6 + 2.64X7 - 1.07X1X2 + 1.0IX1 X3 + 1.05X2X6 + 0.45X22 - 0.64X42 + 1.29X4X6 - 0.97X4X7 - 1.28X5X6 + 1.53X5X7 + 1.39X6X7(R2=0.65), and EVR(Y4) : 3.24-0.21X3-0.20X4 -0.24X5+0.67X6+0.26X4X7 (R2=0.55), where EPD : encapsulated pressure drop, VPD : unencapsulated pressure drop, TVR ; tip ventilation rate, and En : envelope ventilation rate. All variables in the model are significant at the 0.05 level.

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An Optimal Process for Making Retort Pouched Marsh Snail Senisulcospira livertina Soup with Curled Mallow Malva verticillata (아욱(Malva verticillata)첨가 다슬기(Senisulcospira livertina)국 레토르트 파우치의 최적 제조공정 설정)

  • Park, Du-Hyun;Choo, Ho-Jin;Kwon, Ryeong-Won;Park, Jin-Hyo;Jung, Hee-Bum;Lee, Sang-Ho;Kong, Cheong-Sik;Kim, Jeong-Gyun
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.53 no.3
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    • pp.316-325
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    • 2020
  • The purpose of this study was to optimum formulation conditions for the preparation of retort pouched marsh snail Senisulcospira livertina soup with curled mallow Malva verticillata and optimized the sterilization process. Samples were prepared according to the central composite rotatable design (CCRD) by encrypting the amounts of marsh snail broth, boiled marsh snail and blanched curled mallow, which are the main ingredients of retort pouched marsh snail soup with curled mallow. Raw marsh snail was sorted by size of 4-5 level, and then marsh snail was washed and removed sediment in a water tank for 3 min, then boiled at 100℃ for 10 min, and then directly separated by hand to prepared a boiled marsh snail. The marsh snail cube is prepared by combining blanched at 100℃ for 10 sec curled mallow (27 g) and green onion (20 g) with boiled marsh snail (27 g) and soybean paste (10 g). The marsh snail cube was placed with marsh snail broth (416 g) in a retort pouch film. Subsequently, sterilization (118.0℃, 25 min; F0 value, 12 min) and cooling were performed using a steam retort.

Determination of Optimum Hydrolysis Conditions for Flavonoid Analysis in Plant Leaves (식물체 플라보노이드 성분 분석을 위한 적정 가수분해 조건)

  • Park, Jin-Soon;Hwang, In-Wook;Zheng, Hu-Zhe;Kim, Suk-Kyung;Chung, Shin-Kyo
    • Food Science and Preservation
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    • v.17 no.2
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    • pp.261-266
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    • 2010
  • Acidic hydrolysis conditions prior to HPLC analysis of plant flavonoids was investigated by response surface methodology (RSM), using leaves of Ginkgo biloba L. Ten hydrolysis conditions using 0.5-2.5 M HCl and 0.5-2.5 hr hydrolysis time were chosen to form a central composite rotatable design (CCRD), and optimization by RSM was achieved by measuring myricetin, quercetin, and kaempferol levels by HPLC. Optimum hydrolysis condition was 1.5 M HCl for 1.5 hr. The levels of flavonoids obtained under the condition were in good agreement with predicted maximum values, with yields of more than 95%. These optimum hydrolysis condition was applied to analysis of flavonoid content in the leaves of Camellia sinensis, Ficus carica, and Sageretia theezans.

Optimization for Enzymatic Hydrolysis of Mannitol (만니톨의 효소 가수분해 반응 조건 최적화)

  • Park, Eun-Young;Kim, Yong-Jin;Jeong, Seung-Mi;Lee, Dong-Hoon
    • KSBB Journal
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    • v.28 no.2
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    • pp.65-73
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    • 2013
  • This study aimed to investigate the enzymatic hydrolysis of mannitol using Viscozyme$^{(R)}$ L, Celluclast$^{(R)}$ 1.5 L, Saczyme$^{(R)}$, Novozym$^{(R)}$, Fungamyl$^{(R)}$ 800 L, Driselase$^{(R)}$ Basidiomycetes sp., and Alginate Lyase, and to optimize of reaction conditions for production of reducing sugar. Response surface methodology (RSM) based on central composite rotatable design was used to study effects of the independent variables such as enzyme (1-9% v/w), reaction time (10-30 h), pH (3.0-7.0) and reaction temperature ($30-70^{\circ}C$) on production of reducing sugar from mannitol. The coefficient of determination ($R^2$) of $Y_1$ (yield of reducing sugar by Viscozyme$^{(R)}$ L) and $Y_3$ (yield of reducing sugar by Saczyme$^{(R)}$) for the dependent variable regression equation was analyzed as 0.985 and 0.814. And the p-value of $Y_1$ and $Y_3$ showing 0.000 and 0.001 within 1% (p < 0.01), respectively, was very significant. The optimum conditions for production of reducing sugar with Viscozyme$^{(R)}$ L were 9.0 % (v/w) amount of enzyme, 30.0 hours of reaction time, pH 4.5 and $30.0^{\circ}C$ of reaction temperature, and those with Saczyme$^{(R)}$ were 9.0% (v/w) of amount of enzyme dosage, 30.0 h of reaction time, pH 7.0 and $30.0^{\circ}C$ of reaction temperature, consequently, the predicted reducing sugar yields were 22.5 and 27.9 mg/g-mannitol, respectively.

Optimization of Alcalase for Krill Byproduct Hydrolysis and Antioxidative Activities by Response Surface Methodology

  • Kim, Kyoung-Myo;Lee, Da-Sun;Nam, Min-Hee;Yoo, Hong-Seok;Kim, Seon-Bong;Chun, Byung-Soo;Lee, Yang-Bong
    • Preventive Nutrition and Food Science
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    • v.15 no.4
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    • pp.316-321
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    • 2010
  • Krill byproduct was hydrolyzed with Alcalase 2.4L to produce functional ingredients for high antioxidative activities against 1,1-dimethyl-2-picryl-hydrazyl (DPPH) radical and Fe. The objective of this study was to investigate the optimum condition for degree of hydrolysis and antioxidative activity of enzymatic hydrolysate produced with the commercial Alcalase using response surface methodology (RSM) with a central composite rotatable design (CCRD). The ranges of independent variables were pH 7.6~10.4 for initial pH and $50.9{\sim}79.1^{\circ}C$ for hydrolysis temperature and their dependent variables were degree of hydrolysis, Brix, amount of phenolic compounds, DPPH-scavenging activity and Fe-chelating activity. RSM with CCRD was well designed to investigate the optimum condition for functional ingredients with high antioxidative activities using Alcalase 2.4L because of their high $R^2$ values of the range of 0.93~0.99 except the $R^2$ value of 0.50 for the amount of total phenolic compounds. The optimum hydrolysis conditions were pH 9.5 and $62^{\circ}C$ for degree of hydrolysis (DH) and pH 9.1 and $64^{\circ}C$ for DPPH-scavenging activity by response surface methodology. The yield of DH and DPPH-scavenging activity were $14.1{\pm}0.5%$ and $10.5{\pm}0.2%$, respectively. It is advantageous to determine the optimum hydrolysis conditions of krill and its by-products for the creation of different kinds of food products, as well as to increase the usage of marine protein sources.

Optimization for the Physical Properties of Steamed Foam Cakes Prepared with Single-stage Method by Response Surface Methodology (반응표면 분석법에 의한 단단계법 거품형 찜 케이크의 물리적 특성의 최적화)

  • Kwhak, Sung-Ho;Jang, Myung-Sook
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.34 no.4
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    • pp.557-566
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    • 2005
  • In preparation of steamed foam-cakes, effects of whipping time, amount of wheat flour, and amounts of emulsifier on physical properties of the steamed foam cakes were investigated using RSM (response surface methodology). The three independent variables selected for the RSM experiment were whipping time $(X_1)$, amount of wheat flour $(X_2)$, and amounts of wheat flour $(X_2)$, and concentration of emulsifier $(X_3)$ were set for single-stage mixing, respectively. A rotatable central composite design was used for treatment arrangement. The responses from the product for loaf volume, color values and textural properties were analysed. In the analysis of variance for the foam cakes prepared by single-stage method, significant interactions were observed between independent variables (experimental factors) and physical property like loaf volume (p<0.05); textural properties like hardness, gumminess, and chewiness (p<0.05). Among independent variables, concentration of emulsifier had the most effects on physical properties while whipping time. The ordinary points in surface response showed maximal points with physical property like colorimetric b value while other properties revealed saddle points. The 3-dimensional response surface graphs of the predicted regression models displayed decreasing loaf volumes with increasing whipping times and emulsifier concentrations beyond optimum levels. The optimum conditions for best loaf volume and textural property (hardness, gummimess and chewiness) of the products selected by extracting intersectional areas of the contour maps that commonly overlapped all characteristics were; $11\~13$ min whipping time, $470\~486\;g$ amount of wheat flour, and $19\~20\;g$ emulsifier concentration, in case of single-stage method. The median values extracted from the RSM experimental results for optimum manufacturing conditions for single-stage method, i.e., 12 min whipping time, 478 g amount of wheat flour, and 20 g emulsifier concentration were empirically proven to fit the predicted levels of physical properties from the final foam cakes.