• 제목/요약/키워드: rate equation

검색결과 3,001건 처리시간 0.039초

최적제어이론과 관련된 "리카티" 미분방정식의 수식해 (Numerical Solution of Riccati Differential Equation in Optimal Control Theory)

  • 경규학
    • 한국경영과학회지
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    • 제9권2호
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    • pp.28-33
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    • 1984
  • In this paper some procedures are given whereby an analytic solution may be found for the Riccati differential equation and algebraic Riccati equation in optimal control theory. Some iterative techniques for solving these equations are presented. Rate of convergence and initialization of the iterative processes are discussed.

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Compilation of Respiration Model Parameters for Designing Modified Atmosphere Package of Fresh Produce

  • An, Duck Soon;Lee, Dong Sun
    • 한국포장학회지
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    • 제21권1호
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    • pp.1-10
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    • 2015
  • Enzyme kinetics-based respiration model can be effectively used for estimating respiration rate in $O_2$ consumption and $CO_2$ production of fresh produce as a function of $O_2$ and $CO_2$ concentrations. Arrhenius equation can be applied to describe the temperature dependence of the respiration rate. Parameters of enzyme kinetics-based respiration model and activation energy of Arrhenius equation were compiled from analysis of literature data and closed system experiment. They enable to estimate the respiration rate for any modified atmosphere conditions at temperature of interest and thus can be used for design of modified atmosphere packaging of fresh produce.

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GMA용접 시스템의 동적 거동에 대한 해석 (Analysis of Dynamic Behavior in GMAW System)

  • 이재영;최재형;이지혜;유중돈
    • Journal of Welding and Joining
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    • 제18권5호
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    • pp.41-48
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    • 2000
  • Dynamic behaviors of the GMAW system are simulated using the short-circuit transfer model and the characteristic equations fir the power supply, wire system and arc. The conventional wire equation, which relates the rate change of the wire extension to the wire feed rate and melting rate, is modified to include effects of the molten drop attached at the wire tip. The modified wire equation describes behaviors of the GMAW system more precisely and provides information about the initial bridge volume for short-circuit transfer. The proposed short-circuit model predicts the variation of parameters such as the current, voltage, short-circuit frequency and time considering the effects of the surface tension and electromagnetic force due to current. The calculated results are in broad agreements with the experimental results under the argon shielding condition.

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등전환 방법을 이용한 고에너지 물질의 노화 효과 예측 (Characterization of energetic meterials using thermal calorimetry)

  • 김유천;오주영;;여재익
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2017년도 제48회 춘계학술대회논문집
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    • pp.547-553
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    • 2017
  • Differential Scanning Calorimetry(DSC)를 이용하여 파이로점화장치에 사용되는 세 가지 고에너지 물질의 열분석 실험을 수행하였다. DSC 실험 데이터를 이용하여 고에너지 물질의 반응속도식을 추출해내는 이론적 방법을 제안하고 반응속도식 추출을 수행하였다. DSC 실험 결과는 Friedman 등전환법으로 분석되었다. 질량분율에 따른 활성화에너지와 빈도인자를 추출해 내어 반응속도식을 완성하였다. 추출된 반응속도식은 고에너지 물질의 화학반응과정을 몇 단계의 주요단계로 가정하는 형태가 아닌 전체 화학 반응 과정을 나타내는 형태를 갖는다. 이는 기존의 열분석 실험을 통해 추출되는 화학반응속도식 형태에 비해 이론적 측면과 정확성 측면에서 상당한 장점을 갖는다. 도출된 반응속도식을 이용하여 실제 추진기관에 운용되는 세 가지 고에너지 물질의 성능변화를 20년에 대하여 예측하였다.

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잠제가 설치된 유공형 해수교환방파제의 도수량 특성 분석 (Analysis of Discharge Characteristics for the Seawater Exchange Breakwater Composed of Tunneled Breakwater and Submerged Mound)

  • 정신택;이달수;조홍연;오영민
    • Ocean and Polar Research
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    • 제26권3호
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    • pp.465-473
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    • 2004
  • Five parameters such as the entrance size of the front wall, conduit size, wave period, wave height and the width of water pool were selected to estimate the inflow rate, which is basic and essential input data to design seawater exchange breakwater with a submerged mound by conducting hydraulic model experiments. In the results of multiple regression analysis, log-log equation showed a good agreement rather than linear equation and the estimation of inflow rate was well done with only two parameters except entrance size of the front wall, wave period and the width of water pool. Finally, non-dimensional flow rate equation is derived.

선박 및 해양구조물용 극저온 재료의 온도 및 변형률 속도 의존 통합 구성방정식 개발 (Development of Temperature and Strain-Rate Dependent Unified Constitutive Equation for Ships and Offshore Structures)

  • 박웅섭;김정현;전민성;이제명
    • 대한조선학회논문집
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    • 제48권3호
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    • pp.200-206
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    • 2011
  • The mechanical properties of the most widely used cryogenic materials, i.e. austenitic stainless steel (ASS), aluminum alloy and invar steel, strongly depend on temperatures and strain rates. These phenomena show very complicated non-linear behaviors and cannot be expressed by general constitutive equation. In this study, an unified constitutive equation was proposed to represent the effect of temperature and strain rate on the materials. The proposed constitutive equation has been based on Tomita/Iwamoto and Bodner/Partom model for the expression of 2nd hardening due to martensite phase transformation of ASS. To simulate ductile fracture, modified Bodner/Chan damage model was additionally applied to the model and the model validity was verified by comparison of experimental and simulation results.

반도체 레이저 디이오드의 2차원 수치해석 (A Two-dimensional Numerical Analysis of Semiconductor Laser Diodes))

  • 김형래;곽계달
    • 전자공학회논문지A
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    • 제32A권11호
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    • pp.17-28
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    • 1995
  • In this paper, we developed a two-dimensional numerical simulator which could analyze the stripe geometry semiconductor laser diodes by modifying the commercial semiconductor device simulator, MEDICI. In order to study the characteristics of semiconductor laser diodes, it is necessary to solve the Helmholtz wave equation and photon rate equation in addition to the basic semiconductor equations. Also the recombination rates due to the spontaneous and the stimulated emissions should be included, which are very important recombination mechanisms in semiconductor laser diodes. Therefore, we included the solution routines which analyzed the Helmholtz wave equation and the photon rate equation and two important recombination rates to simulate the semiconductor laser diodes. Then we simulated the gain-guiding and index-guiding DH(Double Heterostructure) semiconductor laser diodes to verify the validity of the implemented functions. The results obtained from simulation are well consistent with the previously published ones. This allows us to know the operating characteristics of DH laser diodes and is expected to use as a tool for optimum design.

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AGE-TIME DISCONTINUOUS GALERKIN METHOD FOR THE LOTKA-MCKENDRICK EQUATION

  • Kim, Mi-Young;Selenge, T.S.
    • 대한수학회논문집
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    • 제18권3호
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    • pp.569-580
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    • 2003
  • The Lotka-McKendrick equation which describes the evolution of a single population under the phenomenological conditions is developed from the well-known Malthus’model. In this paper, we introduce the Lotka-McKendrick equation for the description of the dynamics of a population. We apply a discontinuous Galerkin finite element method in age-time domain to approximate the solution of the system. We provide some numerical results. It is experimentally shown that, when the mortality function is bounded, the scheme converges at the rate of $h^2$ in the case of piecewise linear polynomial space. It is also shown that the scheme converges at the rate of $h^{3/2}$ when the mortality function is unbounded.

이차적인 변형률효과를 고려한 텐서 불변성 난류에너지 소산율방정식 (A Tensor Invariant Dissipation Equation Accounting for Extra Straining Effects)

  • 명현국
    • 대한기계학회논문집
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    • 제18권4호
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    • pp.967-976
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    • 1994
  • A tensor invariant model equation for the turbulent energy dissipation rate is proposed in the present study, which is able to simulate secondary straining effects such as curvature effects without the introduction of additional empirical input. The source term in this model has a combined form of the generation term due to the mean vorticity with the conventional one due to the mean strain rate. An extended low-Reynolds-number $k-\epsilon$ turbulence model involving this new model equation is tested for a turbulent Coutte flow between coaxial cylinders with inner cylinder rotated, which is a well defined example of curved flows. The predicted results indicate that the present model works much better for this flow, compared with previous models.