• Title/Summary/Keyword: simultaneous equations

검색결과 295건 처리시간 0.026초

탄화수소/산소 혼합기체가 채워진 관 내부를 전파하는 데토네이션 파의 해석과 가시화

  • 최정열
    • 한국가시화정보학회:학술대회논문집
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    • 한국가시화정보학회 2004년도 춘계학술대회 논문집
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    • pp.29-36
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    • 2004
  • A numerical study is carried out on the detonation wave propagation through a T-shaped flame tube, which represents a crucial part of the combustion wave ignition (CWI) system aimed for simultaneous ignition of multiple combustion chambers by delivering detonation waves. The formulation includes the Euler equations and an induction-parameter model. The reaction rate is treated based on a chemical kinetics database obtained from a detailed chemistry mechanism. A second-order implicit time integration and a third-order TVD algorithm are Implemented to solve the theoretical model numerically. A total of more than two-million grid points are used to provide direct insight into the dynamics of the detonation wave. Several important phenomena including detonation wave propagation, degeneration, and re-initiation are carefully examined. Information obtained can be effectively used to facilitate the design and optimization of the flame tubes of CWI systems.

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Mathematica를 활용한 수학 지도 (Teaching Mathematics using Mathematica)

  • 허혜자
    • 대한수학교육학회지:수학교육학연구
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    • 제8권2호
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    • pp.541-551
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    • 1998
  • Recently, the importance of participating in classes activity and cultivating student's thinking ability is emphasized in the mathematics education society. Teachers are demanded to change their teaching style centered pencile-and paper into using the variety instructional aids, such as calculator, video tape, computer, ohp, and projector, etc. In this paper, we search for the mathematica's function and the method that apply mathematical to the secondary school mathematics. Mathematical has many functions: calculator, algebra, graphics, animations, programing, notebook. We find that mathematica can be applied to the graph of function, the understand of simultaneous equations, the graph of trigonometry function, the calculation of limit, the computation of areas as limits, the derivative of a function and tangent line, a solid figure, and others in secondary school mathematics.

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유체 온도 변화를 고려한 선 접촉면사이의 탄성유체윤활 해석 (n Analysis of Elastohydrodynamic lubrication in Line Contacts-the effect of temperature variation)

  • 서민호;임윤철
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2001년도 제34회 추계학술대회 개최
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    • pp.364-373
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    • 2001
  • This paper describes the variation of lubricant's temperature effects on elastohydrodynamic lubrication. The Newton-Raphson technique was used to solve the simultaneous system of Reynolds and elasticity equations. To show effects of lubricant's temperature, average temperature across the oil film was calculated using the energy equation. Pressure distribution, film shape, and temperature distribution were obtained for fully flooded conjunctions, and various dimensionless speed parameters while load and material parameters were held constant. Minimum film thickness were obtained for various material properties while load and velocity were held constant. It is drawn that the thermal effects have a strong influence on a minimum film thickness under high rolling velocity and slip ratio.

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파라메터 변화에 강인한 Multi-Hump Convolution 입력성형기 설계 (Robust Multi-Hump Convolution Input Shaper for Variation of Parameter)

  • 박운환;이재원
    • 한국정밀공학회지
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    • 제18권5호
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    • pp.112-119
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    • 2001
  • A variety of input shaper has been proposed to reduce the residual vibration of flexible structures. Multi-hump input shaper is known to be robust for parameter variations. However, existing approach should solve the more complicated nonlinear simultaneous equations to improve the robustness of the input shaper with the additional constraints. In this paper, by proposing a graphical approach which uses convolution of shaper, the multi-hump convolution input shaper could be designed even if the constraints are added for further robustness. With a mass-damper-spring model, the better performance is obtained using the proposed new multi-hump convolution input shaper.

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진공네트웍 압력분포 해석의 일반화 (Generalization of the pressure profile analysis in a vacuum network)

  • 인상렬
    • 한국진공학회지
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    • 제8권1호
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    • pp.1-8
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    • 1999
  • 형태와 진공특성이 다른 여러 용기와 도관들로 구성된 진공네트웍의 압력분포를 계산할 때 단면이 서로 틀린 요소들의 연결부에서 입출구효과에 의해 발생하는 압력강하를 기체가 흐르는 방향에 상관없이 자동적으로 고려할 수 있는 경계조건을 만들었다. 또 원추형 도관처럼 단면이 변화하는 요소를 포함하고 있는 경우 시스템이 방향성을 가지지 않도록 도관 내에서의 압력강하를 보정하는 방법에 대해 소개한다. 개발된 경계조건을 간단한 예제 진공시스템에 적용하여 입자평형식에 근거를 둔 연립방정식을 작성하고 해를 구하는 과정을 구체적으로 설명한다.

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OPTIMAL CONSUMPTION/INVESTMENT AND LIFE INSURANCE WITH REGIME-SWITCHING FINANCIAL MARKET PARAMETERS

  • LEE, SANG IL;SHIM, GYOOCHEOL
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권4호
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    • pp.429-441
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    • 2015
  • We study optimal consumption/investment and life insurance purchase rules for a wage earner with mortality risk under regime-switching financial market conditions, in a continuous time-horizon. We apply the Markov chain approximation method and suggest an efficient algorithm using parallel computing to solve the simultaneous Hamilton-Jaccobi-Bellman equations arising from the optimization problem. We provide numerical results under the utility functions of the constant relative risk aversion type, with which we illustrate the effects of regime switching on the optimal policies by comparing them with those in the absence of regime switching.

인버터 전원에 의한 유도전동기 등가회로 결정 (Determination of Induction Motor equivalent circuit parameters by Inverter Source)

  • 정영준;좌종근
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 춘계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.160-162
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    • 2001
  • A determining method of the $\Gamma$ type eqivalent circuit parameters of induction motor driven by inverter source is proposed in this paper. The no-load test by rated frequency (60 Hz) and a blocked rotor test by 25% of rated frequency (l5Hz) are performed with inverter source, and the DC resistance of the stator winding is measured. To determine the more accurate parameters, four simultaneous equations obtained from equivalent circuit of the no-load test and blocked rotor test are solved by using initial values which are evaluated from simplified equivalent circuits. The induction motor performances are computed by using these parameters and compared with measured values of the tested motor. Then it is found that the compared results show good agreement between them.

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Dynamic Simulation of Annual Energy Consumption in an Office Building by Thermal Resistance-Capacitance Method

  • Lee, Chang-Sun;Choi, Young-Don
    • International Journal of Air-Conditioning and Refrigeration
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    • 제6권
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    • pp.1-13
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    • 1998
  • The basic heat transfer process that occurs in a building can best be illustrated by an electrical circuit network. Present paper reports the dynamic simulation of annual energy consumption in an office building by the thermal resistance capacitance network method. Unsteady thermal behaviors and annual energy consumption in an office building were examined in detail by solving the simultaneous circuit equations of thermal network. The results are used to evaluate the accuracy of the modified BIN method for the energy consumption analysis of a large building. Present thermal resistance-capacitance method predicts annual energy consumption of an office building with the same accuracy as that of response factor method. However, the modified BIN method gives 15% lower annual heating load and 25% lower cooling load than those from the present method. Equipment annual energy consumptions for fan, boiler and chiller in the HVAC system are also calculated for various control systems as CAV, VAV, FCU+VAV and FCU+CAV. FCU+CAV system appears to consume minimum annual energy among them.

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열저항-열용량법에 의한 사무실용 건물의 소비에너지 해석 (Analysis of energy consumption of office building by thermal resistance-capacitance method)

  • 이창선;최영돈
    • 설비공학논문집
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    • 제9권1호
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    • pp.1-13
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    • 1997
  • This paper reports the dynamic analysis of energy consumption for an office building by heat resistance-capacitance method. If a building is divided into several wall components and the wall components is replaced by one thermal capacitance and several thermal resistances, the building becomes an electric circuit. By solving the simultaneous equations of the circuit, the dynamic heat transfer characteristics and the energy consumption rate of the building were predicted. Accuracy of modified BIN method was evaluated by the present resistance-capacitance method. The result shows that modified BIN method overpredicts the heating load of the office building 15%. Annual energy consumptions of equipments(fan, boiler, chiller) for various ventilating control system(CAV, VAV, FCU+VAV, FCU+CAV) were compared. FCU+CAV shows the minimum annual energy consumption.

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연직하중을 받는 케이블의 형상결정을 위한 반복계산법의 개발 (A Study on an Iteration Method for the Determination the Initial shape of the Cable)

  • 계만수;정진환;조현영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.83-90
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    • 2001
  • In the design of cable structures it is necessary to know the initial shape of the cable. The geometrical condition and the equilibrium equation of the cable are needed. Because the equilibrium equation is expressed by the simultaneous equations of second order, it is almost impossible to solve with elimination method. To solve it, we must use iteration method. In this study, the algorithm which can reduce the number of iteration and calculate shape of the cable is developed and compared with measured data through the laboratory test and the results represent good agreements.

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