• 제목/요약/키워드: simultaneous equations

검색결과 295건 처리시간 0.023초

자연 연소중인 궐련내에서 일어나는 물리화학적 현상의 시뮬레이션 (Simulation of Physical Chemistry Phenomena Inside a Naturally Smoldering Cigarette)

  • 오인혁;김기환;정경락
    • 한국연초학회지
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    • 제20권1호
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    • pp.87-94
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    • 1998
  • After we made the computer source code with mathematical model of Muramatsu et al. that was expressed by the set of simultaneous first-order ordinary differential equations in evaporation-pyrolysis zone of cigarette, we simulated the distribution profiles of temperature and density of flue-cured tobacco. Those equations were solved numerically with the Runge-Kutta-Gill algorithm assuming step size of 0.025mm by Muramatsu at at,, but in this study the advanced algorithm of Runge-Kutta 4th Order assuming step size of 0.0005mm. The initial conditions and physical parameters of Muramatsu et at. were used for solving them. The calculated values corresponded well with results of Muramatsu et al., especially the gradient of the temperature profile increased with smoldering speed and the thickness of the evaporation-pyrolysis zone decreased with increasing of smoldering speed. On the other hand, the temperature gradient decreased with increasing of the effective thermal-conductivity value and the thickness of the evaporation-pyrolysis zone increased with the effective thermal-conductivity value.

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Radiation Characteristics of Finite Strip-Grating Loaded Dielectric-Coated Coaxial Waveguide with Finite Periodic Thick Slots

  • Kim, Joong-Pyo;Lee, Chang-Won
    • Journal of electromagnetic engineering and science
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    • 제1권2호
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    • pp.161-165
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    • 2001
  • The radiation characteristics of leaky wave emanated from finite strip-grating loaded dielectric coated coaxial waveguide with finite periodic thick slots are investigated theoretically. The rigorous integral equations are derived for the proposed structure using the courier transform, mode expansion, and sine series expansion of the electric current on metallic strips, and the simultaneous linear equations are obtained. The effects of finite strip-grating loading on a dielectric-coated coaxial waveguide with finite periodic thick slots are examined in terms of radiation characteristics.

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단일추진제 추진시스템의 과도기유체 해석 (A fluid transient analysis for the propellant flow in a monopropellant propulsion system)

  • 채종원;한조영
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 춘계 학술대회논문집
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    • pp.173-181
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    • 2005
  • A fluid transient analysis for the propellant flow in a monopropellant propulsion system is conducted using the method of characteristics (MOC). Algebraic simultaneous equations method and Clamor's rule method utilized to drive the compatible and characteristic equations are reviewed to understand MOC more extensively. The identification of fluid transient phenomena of propulsion system of Koreasat 1 is carried out through parametric studies. Also this work describes the reason that the propulsion system of Koreasat 1 has no orifice to control flow transients or to limit the initial hydrazine flow rate for the first-pulse firing.

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비대선 모형에 대한 점성유동의 수치해석연구 (A Study on the Numerical Analysis of the Viscous Flow for a Full Ship Model)

  • 박명규;강국진
    • 한국항해학회지
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    • 제19권2호
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    • pp.13-22
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    • 1995
  • This paper presents the numerical analysis results of the viscous flow for a full ship model. The mass and momentum conservation equations are used for governing equations, and the flow field is discretized by the Finite-Volume Method for the numerical calculation. An algebraic grid and elliptic grid generation techniques are adopted for generation of the body-fitted coordinates system, which is suitable to ship's hull forms. Time-marching procedure is used to solve the three-dimensional unsteady problem, where the convection terms are approximated by the QUICK scheme and the 2nd-order central differencing scheme is used for other spatial derivatives. A Sub-Grid Scale turbulence model is used to approximate the turbulence, and the wall function is used at the body surface. Pressure and velocity fields are calculated by the simultaneous iteration method. Numerical calculations were accomplished for the Crude Oil Tanker(DWT 95,000tons, Cb=0.805) model. Calculation results are compared to the experimental results and show good agreements.

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단일추진제 추진시스템의 과도기유체 해석 (A FLUID TRANSIENT ANALYSIS FOR THE PROPELLANT FLOW IN A MONOPROPELLANT PROPULSION SYSTEM)

  • 채종원
    • 한국전산유체공학회지
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    • 제10권2호
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    • pp.69-81
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    • 2005
  • A fluid transient analysis for the propellant flow in a monopropellant propulsion system is conducted by using the method of characteristics(MOC). It reviews algebraic simultaneous equations method and Cramer's rule method utilized to drive the compatible and characteristic equations to understand MOC extensively. The identification of fluid transient phenomena of propulsion system of Koreasat 1 is carried out through parametric studies. The valve response time is one of the dominant parameters governing the fluid transient phenomena. The results show that the shorter closing time induces the greater pressure response amplitude. And it shows that the installation of in-line orifice is effectively to limit the fluid transients in rapid valve response time and at high pressure. But it seems that the effect of orifice weakens at slow valve response time and at low pressures.

평균변형률을 이용한 RC보의 비틀림 해석 (Torsional Analysis of RC Beam Using Average Strains)

  • 박창규
    • 한국구조물진단유지관리공학회 논문집
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    • 제6권2호
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    • pp.157-165
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    • 2002
  • Nonlinear analysis of the reinforced concrete beam subjected to torsion is presented. Seventeen equations involving seventeen variables are derived from the equilibrium equation, compatibility equation, and the material constitutive laws to solve the torsion problem. Newton method was used to solve the nonlinear simultaneous equations and efficient algorithms are proposed. Present model covers the behavior of reinforced concrete beam under pure torsion from service load range to ultimate stage. Tensile resistance of concrete after cracking is appropriately considered. The softened concrete truss model and the average stress-strain relations of concrete and steel are used. To verify the validity of present model, the nominal torsional moment strengths according to ACI-99 code and the ultimate torsional moment by present model are compared to experimental torsional strengths of 55 test specimens found in literature. The ultimate torsional moment strengths by the present model show good results.

비선형 공정제어를 위한 매개변수 식별기법의 새로운 응용 (A Novel Application of the Identification Technique to Control of Nonlinear Processes)

  • 이지태;변증남
    • 대한전자공학회논문지
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    • 제21권2호
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    • pp.8-12
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    • 1984
  • 비선형 공정제어 문제에서 자주 요구되는 비선형 대수방정식들을 푸는 알고리즘을 제시하고자 한다. 먼저 방정식 변수들을 매개 변수화한 후 순환 식별 기법(recursive identification technique)을 적용하여 새로운 알고리즘을 구성한다. 결과적인 알고리즘의 형태와 그 특성은 Broyden의 Quasi-Newton법과 유사하지만, 그 유도과정과 순환식은 차이가 있으며, Broaden의 방법이 갖고 있는 거의 모든 장점을 갖고 있으면서 몇몇 풀기 어려운 함수에 대하여 더욱 빠르고 믿을 수 있음을 수치 비교로 알 수 있었다.

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Series solutions for spatially coupled buckling anlaysis of thin-walled Timoshenko curved beam on elastic foundation

  • Kim, Nam-Il
    • Structural Engineering and Mechanics
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    • 제33권4호
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    • pp.447-484
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    • 2009
  • The spatially coupled buckling, in-plane, and lateral bucking analyses of thin-walled Timoshenko curved beam with non-symmetric, double-, and mono-symmetric cross-sections resting on elastic foundation are performed based on series solutions. The stiffness matrices are derived rigorously using the homogeneous form of the simultaneous ordinary differential equations. The present beam formulation includes the mechanical characteristics such as the non-symmetric cross-section, the thickness-curvature effect, the shear effects due to bending and restrained warping, the second-order terms of semitangential rotation, the Wagner effect, and the foundation effects. The equilibrium equations and force-deformation relationships are derived from the energy principle and expressions for displacement parameters are derived based on power series expansions of displacement components. Finally the element stiffness matrix is determined using force-deformation relationships. In order to verify the accuracy and validity of this study, the numerical solutions by the proposed method are presented and compared with the finite element solutions using the classical isoparametric curved beam elements and other researchers' analytical solutions.

Two Priority Class Polling Systems with Batch Poisson Arrivals

  • Ryu, Won;Kim, Dae-Ung;Lee, Bok-Lai;Park, Byeong-U;Chung, Jin-Wook
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.881-892
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    • 1999
  • In this paper we consider a polling system with two classes of stations; high priority and low priority. High priority stations are polled more frequently than low priority stations. We derive an exact and explicit formula for computing the mean waiting times for a message when the arrival processes are batch Poisson. In general the formula requires to solve two sets of simultaneous equations By specializing them to the case of two priority classes we greatly reduce the number equations and provide a simple formula for mean waiting times. We apply the results to a data communication processing system and show that the overall mean waiting time can be reduced by using priority polling.

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Estimation of Manoeuvring Coefficients of a Submerged Body using Parameter Identification Techniques

  • Kim, Chan-Ki;Rhee, Key-Pyo
    • Journal of Hydrospace Technology
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    • 제2권2호
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    • pp.24-35
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    • 1996
  • This paper describes parameter identification techniques formulated for the estimation of maneuvering coefficients of a submerged body. The first part of this paper is concerned with the identifiability of the system parameters. The relationship between a stochastic linear time-invariant system and the equivalent dynamic system is investigated. The second is concerned with the development of the numerically stable identification technique. Two identification techniques are tested; one is the ma7mum likelihood (ML) methods using the Holder & Mead simplex search method and using the modified Newton-Raphson method, and the other is the modified extended Kalman filter (MEKF) method with a square-root algorithm, which can improve the numerical accuracy of the extended Kalman filter. As a results, it is said that the equations of motion for a submerged body have higher probability to generate simultaneous drift phenomenon compared to general state equations and only the ML method using the Holder & Mead simplex search method and the MEKF method with a square-root algorithm gives acceptable results.

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