• 제목/요약/키워드: initial and boundary condition

검색결과 216건 처리시간 0.024초

A STUDY OF A WEAK SOLUTION OF A DIFFUSION PROBLEM FOR A TEMPORAL FRACTIONAL DIFFERENTIAL EQUATION

  • Anakira, Nidal;Chebana, Zinouba;Oussaeif, Taki-Eddine;Batiha, Iqbal M.;Ouannas, Adel
    • Nonlinear Functional Analysis and Applications
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    • 제27권3호
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    • pp.679-689
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    • 2022
  • In this paper, we establish sufficient conditions for the existence and uniqueness of solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.

Fe-금속 산화물 계면에서 연소반응의 유한 요소해석 (Finite Element Analysis of Combustion Reaction on Iron and Metal Oxides Interface)

  • 구문선;최용
    • 한국표면공학회:학술대회논문집
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    • 한국표면공학회 2017년도 춘계학술대회 논문집
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    • pp.118.2-118.2
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    • 2017
  • Combustion behavior of Fe, CuO, NiO, ZnO and $Fe_2O_3$ powder mixture was carried out by finite element method (FEM) to understand a reaction at iron and metal oxide interface. The FEM was done by using ANSYS Fluent 17.0. Initial and boundary conditions are 1 atmosphere, room temperature, 0.1MPa of oxygen partial pressure, $T_{S1}=1127^{\circ}C$, $T_{S2}=327^{\circ}C$ for a cylindrical shape specimen with dia. $35{\times}80$ [mm]. The maximum combustion temperature is $1537^{\circ}C$ for the condition of conduction, convection and radiation. The combustion temperature and rate are about $847^{\circ}C$ and 3.9mm/sec, respectively. The combustion wave is enough to make ternary ferrite phase like $CuNiZnFe_2O_3$.

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Cellular Automata Transform based Invisible Digital Watermarking in Middle Domain for Gray Images

  • Li, Xiao-Wei;Kim, Seok-Tae
    • Journal of information and communication convergence engineering
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    • 제9권6호
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    • pp.689-694
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    • 2011
  • Cellular automata are discrete dynamical systems, which provide the basis for the synthesis of complex emergent behavior. This paper proposes a new algorithm of digital watermarking based on cellular automata transform (CAT). The idea of two-dimensional CAT is introduced into the algorithm. After the original image is disassembled with 2D CAT, the watermark information is embedded into the Middle-frequency of the carrier picture. Cellular automata have a huge number of combinations, such as gateway values, rule numbers, initial configuration, boundary condition, etc. Using CAT, the robustness of the watermark will be tremendous strengthened as well as its imperceptibility. Experimental results show that this algorithm can resist some usual attacks such as compression, sharpening and so on. The proposed method is robust to different attacks and is more security.

기어 치형 설계 프로그램 개발에 관한 연구 (A Study on the Development of the Gear Profile Design Program)

  • 정성필;박태원
    • 한국정밀공학회지
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    • 제26권8호
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    • pp.104-111
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    • 2009
  • In this paper, the gear design program is presented. The profile of gears is created using classical mathematic formulations. In each gear, a kinematic joint is applied and one can define the 20 contact condition between gear pairs. Initial and boundary conditions such as force, torque, velocity, acceleration, etc. can be set. Thus, it is possible to analyze dynamic characteristics of gear pairs such as reaction moment and the variation of angular velocity. In order to find the optimal profile of gear pairs, two optimization methods based on design of experiments are inserted in the program; One is the Taguchi method and the other is the response surface analysis method. To verify the program, the rack & pinion gear is created and analyzed. Simulation results show that the developed program is useful and result data is reliable.

천이액상확산접합에 의한 합금공구강의 접합특성 (Joinability of Tool Steels by TLP Bonding)

  • 권병대;이원배;김봉수;홍태환;서창제;정승부
    • Journal of Welding and Joining
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    • 제21권4호
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    • pp.69-74
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    • 2003
  • The mechanical properties of STD11 Joints by using TLP (Transient Liquid Phase Diffusion) bonding method employing MBF-30 and MBF-80 insert metals were investigated with concerning to the microstructural change. TLP bonding of STD 11 was carried out at 1323∼1423K for 0.6ks∼3.6ks in vacuum. The microstructure and the element distribution of the interlayer between tool steels and insert metals showed specific feature with bonding conditions. It was found that the width of the interlayer increased at initial bonding stage. However, the width of interlayer showed nearly constant value during the isothermal solidification. After isothermal solidification was completed, the joint showed homogeneous element distribution and similar microstructure with base metal because of the grain boundary migration to the bonded interlayer. The bonding strength measured by a tensile test has been varied with the bonding conditions. The maximum joint strength, 760MPa, was obtained with the condition of 1423K for 1.2ks using MBF30 insert metal in this experiment.

Development of a Mechanistic Model for Hydrogen Generation in Fuel-Coolant Interactions

  • Lee, Byung-Chul;Park, Goon-Cherl;Chung, Chang-Hyun
    • Nuclear Engineering and Technology
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    • 제29권2호
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    • pp.99-109
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    • 1997
  • A dynamic model for hydrogen generation by Fuel-Coolant Interactions(FCI) is developed with separate models for each FCI stage, coarse mixing and stratification. The model includes the physical concept of FCI, semi-empirical heat and mass transfer correlation and the concentration diffusion equation with the general non-zero boundary condition. The calculated amount of hydrogen, which is mainly generated in stratification, is compared with the FITS experiments. The model developed in this study shows a good agreement within a range of 10 % fuel oxidation rate and predicts the controlled mechanism of the chemical reaction very well. And this model predicts more accurately than the previous works. It is shown from the sensitivity study that the higher initial temperature of fuel particle is, the larger the reaction rate is. Up to 2700 K of temperature of the particle, the reaction rate increases rapid, which can lead to metal ignition.

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자동차 플라스틱 부품의 내열변형 예측에 관한 연구 (A study on the warpage and post-deformation in heat resistance test of automotive plastic components)

  • Kim, H.Y.;Kim, J.J.;Kim, J.S.
    • 한국정밀공학회지
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    • 제13권5호
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    • pp.44-52
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    • 1996
  • A procedure predicting warpage and post-deformation due to heat resistance test is presented. The procedure is applied to the injection molding processes of automotive plastic components, which are the door trim and the instrument pannel. The warpage of products is obtained from the residual stress after filling, packing and cooling process, and the post deformation due to the heat resistance test is calculated in the structural analysis of the product at the ejection temperature with the initial condition of residual stress, the boundary conditions and heat resistance conditions. The analyses give some useful guide lines in the design of automotive plastic parts which should satisfy heat resistance regulation.

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균질화된 구조의 적응설계를 위한 전동차 크로스 빔의 최적설계 (Optimal Design of Electric Vehicle Cross Beam for Adaptive Design of Homogenized Structure)

  • 백석흠;이경영;조석수;장득열;주원식
    • 한국자동차공학회논문집
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    • 제12권5호
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    • pp.85-93
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    • 2004
  • Electric vehicle body has to be subjected to uniform load and requires auxiliary equipment such as air pipe and electric wire pipe. Especially, the cross beam supports the weight of passenger and electrical equipments. This need to use adaptive design in initial design stage to gain economy through interchangeability between many kinds of components. This study performs the topology optimization by the concept of homogenization based on optimality criteria method which is efficient for the problem with a number of boundary condition and design variable. Therefore this provides the method to determine the optimum position and the shape of circular hole in the cross beam and then can achieve the weight minimization of electric vehicle body.

크림프를 가진 섬유 캔틸레버의 대변형의 일래스티카 해 (Elastica Solution of Large Deformation of Fiber Cantilever with Crimped Shapes)

  • 정재호;강태진
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 춘계학술발표대회 논문집
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    • pp.102-105
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    • 2001
  • In this paper, the solution of two dimensional deflection of circular wavy elastica beam was obtained for one end clamped boundary and concentrated load condition. The beam was regarded as a linear elastic material. Wavy shape was described as a combination of half-circular arc smoothly connected each other with constant curvature of all the same magnitude and alternative sign. Also load direction was taken into account. As a result, the solution was expressed in terms of a series of integral equations. While we found the exact solutions and expressed them in terms of elliptic integrals, the recursive ignition formulae about the displacement and arc length at each segment of circular section were obtained. Algorithm of determining unknown parameters was established and the profile curve of deflected beam was shown compared with initial shape.

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알루미늄 열간 압연공정의 동력 전달용 커플링에 대한 최적화 설계 (Design Optimization on End Coupling as a Power Transmission Component for Aluminum Hot Rolling Process)

  • 이현승;이영신
    • 한국CDE학회논문집
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    • 제17권1호
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    • pp.1-6
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    • 2012
  • The End Coupling is main component of the aluminum hot roll process. The End Coupling is used for transmission of rotational power with heavy-duty load. Fracture of the End Coupling cause serious economic losses because an End Coupling is a very expensive component and it takes a long time to repair it. Therefore, preventing the destruction of the End Coupling is essential for ensuring a long mechanical life cycle. In this paper, the parametric study on the End Coupling was performed in order to minimize maximum stress under operation loads. To verify the interference of spindle assembly with modified End Coupling, kinematics simulation was performed by applying the various combination type and dynamic boundary condition of the spindle assembly. The interference of optimized model was not occurred during combination process and driving process. As a result of an optimum design for life extension on End Coupling, the maximum stress of modified End Coupling was lower than that of the initial model by 26%.