• Title/Summary/Keyword: Characteristics Equation

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Numerical Study on Laminar Flow over Three Side-by-Side Cylinders

  • Kang, Sangmo
    • Journal of Mechanical Science and Technology
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    • v.18 no.10
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    • pp.1869-1879
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    • 2004
  • The present study has numerically investigated two-dimensional flow over three circular cylinders in an equidistant side-by-side arrangement at a low Reynolds number. For the study, numerical simulations are performed, using the immersed boundary method, in the range of g* < 5 at Re= 100, where g* is the spacing between two adjacent cylinder surfaces divided by the cylinder diameter. Results show that the flow characteristics significantly depend on the gap spacing and a total of five kinds of wake patterns are observed over the range: modulation-synchronized (g* (equation omitted) 2), inphase-synchronized (g* (equation omitted) 1.5) , flip-flopping (0.3 < g* (equation omitted) 1.2) , deflected (g* (equation omitted) 0.3), and single bluff-body patterns (g* < 0.3). Moreover, the parallel and symmetric modes are also observed depending on g* in the regime of the flip-flopping pattern. The corresponding flow fields and statistics are presented to verify the observations.

A Study of Flow Characteristics using Reynold's Equation on Mass Flow Controller Actuated by Piezoelectric Material (압전체로 구동되는 질량흐름 제어기에서 레이놀즈 방정식을 이용한 유량 특성 연구)

  • Lee, S.K.;Kim, Y.S.
    • Journal of Power System Engineering
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    • v.7 no.3
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    • pp.69-73
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    • 2003
  • In this paper, the relation between displacement of piezoelectric disk and electric field was proposed. From Navier-Stokes equation and Reynold's equation, the relation between flow and gap of plate was determined. This models were further verified by experiments. Based on theoretical study and experimental verification, the proposed model between flow rate and voltage can be used in the design of mass flow controller in gas supplying system.

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Nonlinear Dynamic Analysis of Gear Driving System due to Transmission Error and Backlash (전달오차와 백래쉬에 의한 기어 구동계의 비선형 동특성 해석)

  • 최연선;이봉현;신용호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.1
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    • pp.69-78
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    • 1997
  • Main sources of the vibration in gear driving system are transmission error and backlash. Transmission error is the difference of the rotation between driving and driven gear due to tooth deformation and profile error. Vibro-impacts induced by backlash between meshing gears lead to excessive vibration and noise in many geared rotation systems. Nonlinear dynamic characteristics of the gear driving system due to transmi- ssion error and backlash are investigated. Transmission error is calculated for spur gear. Nonlinear equation of motion for the gear driving system is developed with the calculated transmission error and backlash. Numerical analysis of the equation and the experimental results show the existence of meshing frequency, superharmonic compon- ents. Instability of the gear driving motion is found on the basis of Mathieu equation. Rattle vibration due to backlash is also discussed on the basis if nonlinear jump phenomenon.

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A Study on Coagulant Feeding Control of the Water Treatment Plant Using Intelligent Algorithms (지능알고리즘에 의한 정수장 약품주입제어에 관한 연구)

  • 김용열;강이석
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.1
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    • pp.57-62
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    • 2003
  • It is difficult to determine the feeding rate of coagulant in the water treatment plant, due to nonlinearity, multivariables and slow response characteristics etc. To deal with this difficulty, the genetic-fuzzy system genetic-equation system and the neural network system were used in determining the feeding rate of the coagulant. Fuzzy system and neural network system are excellently robust in multivariables and nonlinear problems. but fuzzy system is difficult to construct the fuzzy parameter such as the rule table and the membership function. Therefore we made the genetic-fuzzy system by the fusion of genetic algorithms and fuzzy system, and also made the feeding rate equation by genetic algorithms. To train fuzzy system, equation parameter and neural network system, the actual operation data of the water treatment plant was used. We determined optimized feeding rates of coagulant by the fuzzy system, the equation and the neural network and also compared them with the feeding rates of the actual operation data.

An Analysis on the Factors related to the Family Business Performance (가족기업의 성공 관련 요인 분석)

  • 정순희
    • Journal of Family Resource Management and Policy Review
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    • v.6 no.1
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    • pp.103-115
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    • 2002
  • The purpose of this study was to analyze which factor, influenced the business and family performance success. Data were obtained from 248 family households. Proxy variable of the business performance was gross business income and of the family performance was the Family AFGAR scores. The multiple regression analysis was conducted for both the business performance equation and family performance equation. The main results of this study were as followings: The results indicated the effects of various business and family characteristics on performance and their contributions to the business and family performance model. Nine explanatory variables such as sex, being home-based, number of hours worked per week, number of family employee, number of nonfamily employee, total asset, the presence of young child under 6, nonbusiness income, and role conflicts were statistically significant in the business performance equation and three explanatory variables such as the hours worked per week, family stress scores, and role conflicts were statistically significant in the family performance equation. The results indicated the need for a more comprehensive view of family business performance.

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A Study on the Improvement of Bearing Capacity Prediction Equation for Auger-drilled Piling (매입말뚝공법의 지지력 예측식 개선에 관한 연구)

  • 최도웅;한병권;서영화;조성한
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.10a
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    • pp.382-389
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    • 2002
  • Recently, auger-drilled piling has been widely used in urban area to reduce the air pollution and noise. But this construction method that its basic theory was introduced from Japan may be changed depending on the each piling company and construction field condition. Therefore, the design code and management method for auger-drilled piling is not defined yet. Especially, the lack of research on the bearing capacity of auger-drilled piling leads to the absence of rational bearing capacity prediction equation. This paper presents the optimum design code and economical construction method of the auger-drilled piling by proposing the new bearing capacity prediction equation based on the site specific soil types and construction conditions. In this paper, existing bearing capacity prediction equations and current pile load tests were compared. And the end bearing capacity and skin friction characteristics were also analyzed by comparing the results of CAPWAP. From the results of analysis, a reliable bearing capacity prediction equation considered soil types is proposed.

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FRACTIONAL HAMILTON-JACOBI EQUATION FOR THE OPTIMAL CONTROL OF NONRANDOM FRACTIONAL DYNAMICS WITH FRACTIONAL COST FUNCTION

  • Jumarie, Gyu
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.215-228
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    • 2007
  • By using the variational calculus of fractional order, one derives a Hamilton-Jacobi equation and a Lagrangian variational approach to the optimal control of one-dimensional fractional dynamics with fractional cost function. It is shown that these two methods are equivalent, as a result of the Lagrange's characteristics method (a new approach) for solving non linear fractional partial differential equations. The key of this results is the fractional Taylor's series $f(x+h)=E_{\alpha}(h^{\alpha}D^{\alpha})f(x)$ where $E_{\alpha}(.)$ is the Mittag-Leffler function.

Cusum control chart for monitoring process variance (공정분산 관리를 위한 누적합 관리도)

  • Lee, Yoon-Dong;Kim, Sang-Ik
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2006.04a
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    • pp.135-141
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    • 2006
  • Cusum control chart is used for the purpose of controling the process mean. We consider the problem related to cusum chart for controling process variance. Previous researches have considered the same problem. The main difficulty shown in the related researches was to derive the ARL function which characterizes the properties of the chart. Sample variance, differently with sample mean, follows chi-squared type distribution, even when the quality characteristics are assumed to be normally distributed. The ARL function of cusum is described by a type of integral equation. Since the solution of the integral equation for non-normal distribution is not known well, people used simulation method instead of solving the integral equation directly, or approximation method by taking logarithm of the sample variance. Recently a new method to solve the integral equation for Erlang distribution was published. Here we consider the steps to apply the solution to the problem of controling process variance.

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A Study on the Analysis of Stochastic Dynamic System (확률적 동적계의 해석에 관한 연구)

  • Nam, S.H.;Kim, H.R.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.4
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    • pp.127-134
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    • 1995
  • The dynamic characteristics of a system can be critically influenced by system uncertainty, so the dynamic system must be analyzed stochastically in consideration of system uncertainty. This study presents a generalized stochastic model of dynamic system subjected to bot external and parametric nonstationary stochastic input. And this stochastic system is analyzed by a new stochastic process closure method and moment equation method. The first moment equation is numerically evaluated by Runge-Kutta method. But the second moment equation is founded to constitute an infinite coupled set of differential equations, so this equations are numerically evaluated by cumulant neglect closure method and Runge-Kutta method. Finally the accuracy of the present method is verified by Monte Carlo simulation.

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Separation of $H_2$/$N_2$ Gas Mixture by PTMSP-PEI and PDMS-PEI Composite Membranes (PTMSP-PEI와 PDMS-PEI 복합막에 의한 수소/질소 혼합기체 분리)

  • 강태범;조성혜;이현경
    • Membrane Journal
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    • v.13 no.4
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    • pp.291-299
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    • 2003
  • Polymer membranes such as poly(1-trimethylsilyl-1-propyne)-polyetherimide (PTMSP-PEI) and poly(dimethylsiloxane)- polyetherimide (PDMS-PEI) composite membrane were prepared by solution casting method. To investigate the characteristics of these membranes, the analytical methods such as FT-IR, $^1H-NMR,$ DSC, TGA, GPC, and SEM have been utilized. The number-average (equation omitted) and weight-average (equation omitted) molecular weight of PTMSP were 477,920 and 673,329 respectively. The glass transition temperature ($T_g$) of PTMSP was $224^{\circ}C.$ The separation of the gas mixture ($H_2/N_2$) through the composite membranes were studied as a function of pressure. The separation factor (${\alpha}, {\beta},$ quation omitted) of the composite membranes used in this work increased as the pressure of permeation cell increased. The real separation factor (${\alpha}$), head separation factor (${\beta}$), and tail separation factor (equation omitted) of PTMSP-PEI composite membrane were 2.28, 1.17, and 1.96 respectively at ${\Delta}P$ 30psi and $25^{\circ}C.$ (${\alpha}, {\beta}$ and equation omitted of PDMS-PEI composite membrane were 3.70, 1.53, and 2.42 respectively at ${\Delta}P$ 30psi and $25^{\circ}C$.