• Title/Summary/Keyword: numerical formulation

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A Comparative Study on the Functional Cosmetic Materials of Water and Ethanol Extract of Sicyos angulatus L. (생태교란종 가시박(Sicyos angulatus L.) 열수 및 에탄올 추출물의 기능성 화장품 소재로서의 비교 연구)

  • Ye-Jin Jang;Su-Bin Hwang;Ji-A Byeon;Un-Gyo Shin;Si-Hyun Park;Subeen Yoon;Jin-Tae Lee;Ildae Song;Yong-Jin Kwon
    • Journal of the Korean Applied Science and Technology
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    • v.41 no.3
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    • pp.756-770
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    • 2024
  • This study confirmed emulsion stability after performing antioxidant, whitening, antibacterial, and anti-inflammatory efficacy evaluation to find out the availability of Sicyos angulatus L. (SA) which is designated as an ecological disturbance species as a functional cosmetic material. SA was extracted with Deionized Water (SAW) and 70% EtOH (SAE). Compared to SAW, SAE has excellent antioxidant efficacy by showing scavenging activity and SOD-like activity against DPPH radical and ABTS+ radical, and inhibits melanin production by inhibiting the activity of tyrosinase. SAW had no antibacterial effect on Escherichia coli (E.c), Staphylococcus epidermidis (S.e), Staphylococcus aureus (S.a), Pseudomonas aeruginosa (P.a), and Cutibacterium acnes (C.a) strains, while SAE showed antibacterial activity by producing clear zones in E.c, S.e, P.a, and C.a strains except S.a. In LPS-treated RAW 264.7 cells, SAE showed efficacy against anti-inflammatory by inhibiting the production of NO by inhibiting the expression of iNOS and COX-2 than SAW. It was confirmed that the SAE-added emulsion was not separated at temperatures of 4℃, 25℃, and 50℃, the pH and viscosity did not change significantly in numerical terms, and the particle size was similar to that of the control emulsion, so it did not affect the formulation. Based on these results, we suggest its potential as a new material for functional cosmetics research.

Improving the Accuracy of the Mohr Failure Envelope Approximating the Generalized Hoek-Brown Failure Criterion (일반화된 Hoek-Brown 파괴기준식의 근사 Mohr 파괴포락선 정확도 개선)

  • Youn-Kyou Lee
    • Tunnel and Underground Space
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    • v.34 no.4
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    • pp.355-373
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    • 2024
  • The Generalized Hoek-Brown (GHB) criterion is a nonlinear failure criterion specialized for rock engineering applications and has recently seen increased usage. However, the GHB criterion expresses the relationship between minimum and maximum principal stresses at failure, and when GSI≠100, it has disadvantage of being difficult to express as an explicit relationship between the normal and shear stresses acting on the failure plane, i.e., as a Mohr failure envelope. This disadvantage makes it challenging to apply the GHB criterion in numerical analysis techniques such as limit equilibrium analysis, upper-bound limit analysis, and the critical plane approach. Consequently, recent studies have attempted to express the GHB Mohr failure envelope as an approximate analytical formula, and there is still a need for continued interest in related research. This study presents improved formulations for the approximate GHB Mohr failure envelope, offering higher accuracy in predicting shear strength compared to existing formulas. The improved formulation process employs a method to enhance the approximation accuracy of the tangential friction angle and utilizes the tangent line equation of the nonlinear GHB failure envelope to improve the accuracy of shear strength approximation. In the latter part of this paper, the advantages and limitations of the proposed approximate GHB failure envelopes in terms of shear strength prediction accuracy and calculation time are discussed.

Optimization of Ingredients for the Preparation of Chinese Quince (Chaenomelis sinensis) Jam by Mixture Design (모과잼 제조시 혼합물 실험계획법에 의한 재료 혼합비율의 최적화)

  • Lee, Eun-Young;Jang, Myung-Sook
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.38 no.7
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    • pp.935-945
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    • 2009
  • This study was performed to find the optimum ratio of ingredients in the Chinese quince jam. The experiment was designed according to the D-optimal design of mixture design, which included 14 experimental points with 4 replicates for three independent variables (Chinese quince paste $45{\sim}60%$, pectin $1.5{\sim}4.5%$, sugar $45.5{\sim}63.5%$). A mathematical analytical tool was employed for the optimization of typical ingredients. The canonical form and trace plot showed the influence of each ingredient in the mixture against final product. By use of F-test, sweetness, pH, L, b, ${\Delta}E$, and firmness were expressed by a linear model, while the spreadmeter value, a, and sensory characteristics (appearance, color, smell, taste, and overall acceptability) were by a quadratic model. The optimum formulations by numerical and graphical method were similar: Chinese quince paste 54.48%, pectin 2.45%, and sugar 53.07%. Optimum ingredient formulation is expected to improve use of Chinese quince and contribute to commercialization of high quality Chinese quince jam.

A Study on Shape Optimization of Plane Truss Structures (평면(平面) 트러스 구조물(構造物)의 형상최적화(形狀最適化)에 관한 구연(究研))

  • Lee, Gyu won;Byun, Keun Joo;Hwang, Hak Joo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.3
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    • pp.49-59
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    • 1985
  • Formulation of the geometric optimization for truss structures based on the elasticity theory turn out to be the nonlinear programming problem which has to deal with the Cross sectional area of the member and the coordinates of its nodes simultaneously. A few techniques have been proposed and adopted for the analysis of this nonlinear programming problem for the time being. These techniques, however, bear some limitations on truss shapes loading conditions and design criteria for the practical application to real structures. A generalized algorithm for the geometric optimization of the truss structures which can eliminate the above mentioned limitations, is developed in this study. The algorithm developed utilizes the two-phases technique. In the first phase, the cross sectional area of the truss member is optimized by transforming the nonlinear problem into SUMT, and solving SUMT utilizing the modified Newton-Raphson method. In the second phase, the geometric shape is optimized utilizing the unidirctional search technique of the Rosenbrock method which make it possible to minimize only the objective function. The algorithm developed in this study is numerically tested for several truss structures with various shapes, loading conditions and design criteria, and compared with the results of the other algorithms to examme its applicability and stability. The numerical comparisons show that the two-phases algorithm developed in this study is safely applicable to any design criteria, and the convergency rate is very fast and stable compared with other iteration methods for the geometric optimization of truss structures.

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