• Title/Summary/Keyword: simultaneous equations

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

  • Choe Jeong Yeol
    • 한국가시화정보학회:학술대회논문집
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    • 2004.04a
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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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Teaching Mathematics using Mathematica (Mathematica를 활용한 수학 지도)

  • 허혜자
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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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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n Analysis of Elastohydrodynamic lubrication in Line Contacts-the effect of temperature variation (유체 온도 변화를 고려한 선 접촉면사이의 탄성유체윤활 해석)

  • 서민호;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.11a
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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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Robust Multi-Hump Convolution Input Shaper for Variation of Parameter (파라메터 변화에 강인한 Multi-Hump Convolution 입력성형기 설계)

  • Park, Un-Hwan;Lee, Jae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.5
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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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Generalization of the pressure profile analysis in a vacuum network (진공네트웍 압력분포 해석의 일반화)

  • 인상렬
    • Journal of the Korean Vacuum Society
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    • v.8 no.1
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    • pp.1-8
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    • 1999
  • A boundary condition reflecting automatically, regardless of the direction of the gas flow, the pressure drop due to the entrance and exit effect occurred at a connection of two elements with different cross-sections in calculating the pressure profile of a vacuum network composed of many chambers and pipes which have different shape and vacuum properties was developed. The method of correcting the pressure drop in an element of varying cross-section like a cone was also introduced to keep the system free from directionality. The developed boundary conditions are applied as an example to a linear composed vacuum system to show how to make a set of simultaneous equations based on the particle balance equation and how to obtain its solution.

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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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    • v.19 no.4
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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.

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

  • Jeong, Young-Jun;Jwa, Chong-Keun
    • Proceedings of the KIEE Conference
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    • 2001.04a
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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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    • v.6
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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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Analysis of energy consumption of office building by thermal resistance-capacitance method (열저항-열용량법에 의한 사무실용 건물의 소비에너지 해석)

  • Lee, C.S.;Choi, Y.D.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.9 no.1
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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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A Study on an Iteration Method for the Determination the Initial shape of the Cable (연직하중을 받는 케이블의 형상결정을 위한 반복계산법의 개발)

  • 계만수;정진환;조현영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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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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