• Title/Summary/Keyword: numerical formulation

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Optimization of Muffin with Dropwort Powder Using Response Surface Methodology (반응표면분석법을 이용한 미나리 분말 첨가 머핀 제조 조건의 최적화)

  • Park, Geum-Soon;Kim, Ji-Young
    • Journal of the Korean Society of Food Culture
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    • v.29 no.6
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    • pp.623-636
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    • 2014
  • This study was performed to determine the optimal composition of muffins added with dropwort powder, egg and sugar. The experiment was designed based on BBD (Box-behnken design), and evaluation was carried out by means of RSM (response surface methodology), consisting of 13 experimental points with three replicates each for three independent variables dropwort powder, eggs and sugar. Using F-test, height, moisture, 1,1-diphenyl-2picriylhydrazyl (DPPH) radical scavenging activity, L-value, a-value, springiness, cohesiveness, chewiness, brittleness, color, and appearance acceptability were expressed as a linear model, whereas pH, b-value, flavor, taste, and texture were expressed as a quadratic model. After swallow and overall acceptability were expressed as a 2FI model. As dropwort powder content increased, 1,1-diphenyl-2picriylhydrazyl (DPPH) radical scavenging activity increased. Increasing amounts of dropwort powder led to reduction of sensory scores for color, appearance, flavor, taste, and texture quality. The optimum formulation determined by the numerical and graphical methods were similar: dropwort powder 6 g, egg 77 g, and sugar 60 g.

Processing Optimization and Antioxidant Activity of Sausage Prepared with Tomato Powder (토마토분말 첨가 소시지의 제조조건 최적화 및 항산화활성)

  • Na, Yu-Ri;Joo, Na-Mi
    • Korean journal of food and cookery science
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    • v.28 no.2
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    • pp.195-206
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    • 2012
  • The purpose of this study was to determined the optimal mixing condition of two different amounts of tomato powder (A), and starch (B) for the preparation of sausage prepared with tomato powder was determined. The content of lycopene was 3 mg/g. The experiment was designed according to the central composite design of response surface, which showed 10 experimental points including 2 replicates for tomato powder and starch. The physiochemical, mechanical, antioxidant activity and sensory characteristics of samples were measured. The results of the physiochemical, mechanical and antioxidant activity analysis of each sample, including pH, moisture content, color L, color a, color b, hardness, chewiness and cohesiveness, total phenolic content and DPPH free radical scavenging activity showed significant differences. The sensory measurements were significantly different in color, flavor, chewiness, overall quality. The optimum formulation, which was calculated using the numerical and graphical method, was determined to be 4.26 g tomato powder and 7.51 g starch.

Dynamic Behavior of the Plane Circular Arches with the Shape Imperfections (형상불완전을 갖는 평면 원호 아치의 동적 거동)

  • 조진구
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.43 no.3
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    • pp.85-93
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    • 2001
  • In this study, a computer program considering shape imperfections of arch under dynamic loading was developed. The shape imperfection of arch was assumed as higher degree polynomial expressed as $\omega$$_{i}$ = $\omega$$_{o}$ (1-(2$\chi$/L)$^{m}$ )$^n$and sinusoidal curve such as $\omega$$_{i}$ = $\omega$$_{o}$ sin(η$\pi$$\chi$/L). In finite element formulation, the material nonlinear behavior was assumed the elasto-viscoplastic model highly corresponding to the real behavior of the material and the geometrically nonlinear behavior was modeled using Lagrangian description of motion. Also, the behavior of steel was modeled by applying yield criteria of Von Mises. The developed program was applied to the analysis of the dynamic behavior for the clamped beam subjected to the concentrated load at midspan and the results were compared with those from other research to investigate accuracy of the presented finite element program. In numerical examples, the shape imperfections of L/500, L/1,000 and L/2,000 were considered and the modes of shape imperfections of the symmetric and antisymmetric were adopted. The effects of the shape imperfections on the dynamic behavior of arch were conspicuous and results of analysis indicate that the reasonable values of arch rise to arch span ratio ranged between 0.1 and 0.3.

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Simulation of dynamic fracture and fluid-structure interaction in solid propellant rockets : Part 1 (theoretical aspects) (고체추진로켓 내부에서 발생하는 동적 파괴 현상과 유체-고체 상호작용의 시뮬레이션 - Part 1 (이론적 측면))

  • Hwang, Chan-Gyu
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.2
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    • pp.286-290
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    • 2008
  • This paper summarizes the components of an explicit aeroelastic solver developed especially for the simulation of dynamic fracture events occurring during the flight of solid propellant rockets. The numerical method combines an explicit Arbitrary Lagrangian Eulerian (ALE) version of the Cohesive Volumetric Finite Element (CVFE) scheme, used to simulate the spontaneous motion of one or more cracks propagating dynamically through a domain with regressing boundaries, and an explicit unstructured finite volume Euler code to follow the flow field during the failure event. A key feature of the algorithm is the ability to adaptively repair and expand the fluid mesh to handle the large geometrical changes associated with grain deformation and crack motion.

Dynamic Behavior Analysis of Reciprocating Compressor Pistons (왕복동형 압축기 피스톤의 동적 거동 해석)

  • 김태종
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.9
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    • pp.717-724
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    • 2002
  • In this study, a numerical analysis for the piston secondary dynamics of small refrigeration reciprocating compressors is performed. In general, the length of cylinder in this class of compressors is shortened to diminish the frictional losses of the piston-cylinder system. So, the contacting length between piston and cylinder wall is in variable with the rotating crank angle around the BDC of the reciprocating piston. In the problem formulation of the piston dynamics, the change in bearing length of the piston and all corresponding forces and moments are considered in order to determine the piston trajectory, velocity and acceleration at each step. A Newton-Raphson procedure was employed in solving the secondary dynamic equations of the piston. The developed computer program can be used to calculate the entire piston trajectory and the hydrodynamic force and moment as functions of crank angle under compressor running conditions. The results explored the effects of the radial clearance, lubricant viscosity, length of the cylinder wall, and pin location on the stability of the piston.

Postbuckling Analysis of Thin Plates under Impact Loading (충격하중을 받는 박판의 후좌굴 해석)

  • Kim, Hyeong-Yeol;Park, Sun-Kyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.6 no.3
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    • pp.139-149
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    • 2002
  • An explicit direct time integration method based solution algorithm is proposed to predict dynamic postbuckling response of thin plates. Based on the von Karman's plate equations and Marquerre's shallow shell theory, a rectangular plate finite element is formulated and utilized in this study. The element formulation takes into account geometrical nonlinearity and initial deflection of plates. The solution algorithm employs the central difference method. Using the computer program developed by the authors, dynamic postbuckling behavior of elastic thin plates under impact loading is investigated by considering the time variation of load and load duration. The efficiency of the proposed solution algorithm is examined through illustrative numerical examples.

ON THE TREATMENT OF DUCTILE FRACTURE BY THE LOCAL APPROACH CONCEPT IN CONTINUUM DAMAGE MECHANICS : THEORY AND EXAMPLE

  • Kim, Seoung-Jo;Kim, Jin-Hee;Kim, Wie-Dae
    • Journal of Theoretical and Applied Mechanics
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    • v.2 no.1
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    • pp.31-50
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    • 1996
  • In this paper, a finite element analysis based on the local approach concept to fracture in the continuum damage mechanics is performed to analyze ductile fracture in two dimensional quasi-static state. First an isotropic damage model based on the generalized concept of effective stress is proposed for structural materials in the context of large deformation. In this model, the stiffness degradation is taken as a measure of damage and so, the fracture phenomenon can be explained as the critical deterioration of stiffness at a material point. The modified Riks' continuation technique is used to solve incremental iterative equations. Crack propagation is achieved by removing critically damaged elements. The mesh size sensitivity analysis and the simulation of the well known shearing mode failure in plane strain state are carried out to verify the present formulation. As numerical examples, an edge cracked plate and the specimen with a circular hole under plane stress are taken. Load-displacement curves and successively fractured shapes are shown. From the results, it can be concluded that the proposed model based on the local approach concept in the continuum damage mechanics may be stated as a reasonable tool to explain ductile fracture initiation and crack propagation.

Optimization of Yanggaeng Processing Prepared with Mulberry Juice (오디즙 첨가 양갱의 제조 조건 최적화)

  • Pyo, Seo-Jin;Joo, Na-Mi
    • Journal of the Korean Society of Food Culture
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    • v.26 no.3
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    • pp.283-294
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    • 2011
  • The purpose of this study was to determine the optimal mixing conditions for three different amounts of mulberry juice, sugar, and agar powder for Yanggaeng prepared with mulberry juice. The experiment was designed according to the central composite design for estimating the response surface, which demonstrated 16 experimental points including 2 replicates for mulberry juice, sugar and agar powder each?? The mechanical and sensory properties of test materials were measured, and these values were applied to the mathematical models. A canonical form and perturbation plot showed the influence of each ingredient on the final product mixture. Measurement results of the mechanical properties showed a significant increase or decrease?? in pH, sugar content, water content, viscosity, l-value, a-value, b-value, hardness, springiness, chewiness, gumminess, cohesiveness. Also the sensory measurements showed a significant improvement?? in appearance, flavor, color, sweetness, texture, overall quality. As a result, the optimum formulation by numerical and graphical methods was calculated as mulberry juice 41.99 g, sugar 90.00 g, agar powder 3.18 g.

Optimization of Cookies Prepared with Mori cortex radicis Powder (상백피 분말 첨가 쿠키의 제조조건 최적화)

  • Park, Young Il;Joo, Nami
    • The Korean Journal of Food And Nutrition
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    • v.27 no.3
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    • pp.522-531
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    • 2014
  • The purpose of this study was to investigate the antioxidant effects of Mori cortex radicis powder and to determine the optimal composite recipe by testing different amount of Mori cortex radicis powder and sugar in cookies prepared with Mori cortex radicis powder. In regard to its antioxident effects, Mori cortex radicis powder had a total phenolic content and DPPH free radical scavenging activity of 149.56 mg GAE/g and $137.77{\mu}g/mL$, respectively. The response surface methodology was used to obtain ten experimental points (including two replicates for Mori cortex radicis powder and sugar) and Mori cortex radicis cookie formulation was optimized using rheology. The results of the sensory evaluation produced significant values for color (p<0.05), texture (p<0.05), sweetness (p<0.01) and overall quality (p<0.05), and the results of instrumental analysis showed significant values in sweetness (p<0.001), redness (p<0.01) and spread ratio (p<0.5). As a result, the optimum formulations obtained by numerical and graphical methods were found to be 16.84 g of Mori cortex radicis powder and 64.42 g of sugar.

Supply Chain Network Design Considering Environmental Factor and Transportation Types

  • Yun, YoungSu
    • Journal of Korea Society of Industrial Information Systems
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    • v.23 no.5
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    • pp.33-41
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    • 2018
  • Most important thing when designing and implementing a supply chain network is to consider various problems which may occur in real world situation. In this paper, we propose a supply chain network considering two problems (environmental factor and transportation types) under real world situation. CO2 emission amount as environmental factor is considered since it is usually generated from production and transportation processes. Normal delivery, direct delivery and direct shipment as transportation types are also considered since many customers ask various transportation types for delivery or shipment of their products under on-line or off-line purchase environment. The proposed supply chain network considering environmental factor and transportation types is represented in a mathematical formulation and implemented using hybrid genetic algorithm (HGA) approach. In numerical experiments, several scales of supply chain networks are presented and implemented using HGA approach. The performance of the HGA approach is compared with those of some conventional approaches under various measures of performance. Finally, it is proved that the performance of the HGA approach is superior to those of the others.