• 제목/요약/키워드: numerical value

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일반상대론적(一般相對論的) Polytrope(n=5)에 관(關)하여 (A Study on the General Relativistic Polytrope of n=5)

  • 강용희;현정준
    • 천문학회지
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    • 제5권1호
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    • pp.7-14
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    • 1972
  • We have investigated the structure of the general relativistic polytrope(G.R.P.) of n=5. The numerical solutions of the general relativistic Lane-Emden functions ${\upsilon}\;and\;{\theta}$ for the ratio of the central pressure to the central density ${\sigma}=0.1$, 0.3, 0.5 and 0.8333 are plotted graphically. We may summarize the results as follows: 1. As the invariant radius $\bar{\xi}$ increases, the numerical value of the mass parameter ${\upsilon}$ does not approach toward the assymptotic limit, as it does in the classical case $({\upsilon}{\sim}{\sqrt{3}})$, but it increases continuously with progressively smaller rate as compared with the classical case. 2. When $\bar{\xi}$ is less than ${\sim}5.5$, the value of the density function ${\theta}$ drops more rapidly than the classical one, whereas when $\bar{\xi}$ is greater than ${\sim}5.5$, ${\theta}$ becomes greater than the classical value. For the greater values of ${\sigma}$ these phenomena become significant. 3. From the above results it is expected that the equilibrium mass of the G.R.P. of n=5 must be larger than the classical masse $({\sqrt{3}})$ and the mass is more dispersed than the classical configuration (i.e. equilibrium with infinite radius).

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An Analysis Code and a Planning Tool Based on a Key Element Index for Controlled Explosive Demolition

  • Isobe, Daigoro
    • 국제초고층학회논문집
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    • 제3권4호
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    • pp.243-254
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    • 2014
  • In this study, a demolition analysis code using the adaptively shifted integration (ASI)-Gauss technique, which describes structural member fracture by shifting the numerical integration point to an appropriate position and simultaneously releasing the sectional forces in the element, is developed. The code was verified and validated by comparing the predicted results with those of several experiments. A demolition planning tool utilizing the concept of a key element index, which explicitly indicates the contribution of each structural column to the vertical load capacity of the structure, is also develped. Two methods of selecting specific columns to efficiently demolish the whole structure are demonstrated: selecting the columns from the largest index value and from the smallest index value. The demolition results are confirmed numerically by conducting collapse analyses using the ASI-Gauss technique. The numerical results suggest that to achieve a successful demolition, a group of columns with the largest key element index values should be selected when explosives are ignited in a simultaneous blast, whereas those with the smallest should be selected when explosives are ignited in a sequence, with a final blast set on a column with large index value.

THE STABILITY IN AN INCLINED LAYER OF VISCOELASTIC FLUID FLOW OF HYDROELECTRIC NATURAL CONVECTION

  • El-Bary, A.A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제9권2호
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    • pp.17-27
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    • 2005
  • The problem of the onset stability in an inclined layer of dielectric viscoelastic fluid (Walter's liquid B') is studied. The analysis is made under the simultaneous action of a normal a.c. electric field and the natural convection flow due to uniformly distributed internal heat sources. The power series method used to obtain the eigen value equation which is then solved numerically to obtain the stable and unstable solutions. Numerical results are given and illustrated graphically.

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A virtual parameter to improve stability properties for an integration method

  • Chang, Shuenn-Yih
    • Earthquakes and Structures
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    • 제11권2호
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    • pp.297-313
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    • 2016
  • A virtual parameter is introduced into the formulation of the previously published integration method to improve its stability properties. It seems that the numerical properties of this integration method are almost unaffected by this parameter except for the stability property. As a result, it can have second order accuracy, explicit formulation and controllable numerical dissipation in addition to the enhanced stability property. In fact, it can have unconditional stability for the system with the instantaneous degree of nonlinearity less than or equal to the specified value of the virtual parameter for the modes of interest for each time step.

Nonlinear Control of General System based on a Model with Coefficients of State-Depended Representation

  • Nakamura, Masatoshi;Zhang, Tao
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.76.1-76
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    • 2002
  • This paper addresses a method for nonlinear controller construction for a general nonlinear system with the separation of controller construction and manipulated values generation. The nonlinear system model is firstly expressed with the coefficients of state-depended representation. The nonlinear control is designed without any approximation based on the model with state-depended representation. At the stage of controller implementation for the nonlinear system, the manipulated values are calculated accurately by use of an algorithm of the numerical analysis. The numerical error for calculating the manipulated value can be reduced to zero by selecting the sampling interval being a small val...

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A LINEARIZED FINITE-DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF THE NONLINEAR CUBIC SCHRODINGER EQUATION

  • Bratsos, A.G.
    • Journal of applied mathematics & informatics
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    • 제8권3호
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    • pp.683-691
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    • 2001
  • A linearized finite-difference scheme is used to transform the initial/boundary-value problem associated with the nonlinear Schrodinger equation into a linear algebraic system. This method is developed by replacing the time and the nonlinear term by an appropriate parametric linearized scheme based on Taylor’s expansion. The resulting finite-difference method is analysed for stability and convergence. The results of a number of numerical experiments for the single-soliton wave are given.

열차가 터널에 진입할 때 발생하는 압축파에 대한 수치해석 - 열차의 출발방법 및 터널과의 거리에 대한 영향 (NUMERICAL STUDY ON THE COMPRESSION WAVE GENERATED BY THE TRAIN ENTERING A TUNNEL)

  • 김사량
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2006년도 추계 학술대회논문집
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    • pp.189-192
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    • 2006
  • The numerical simulations on the train entrering a tunnel were performed by solving unsteady axi-symmetric problems. To reduce the effects of the pressure wave generated by the train starting abruptly, several starting method of the train were also examined. The pressure rise by the train entering a tunnel was compared with other results, and similar value was obtained compared with those of previous studies.

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Influence of geometry and loading conditions on the dynamics of martensitic fronts

  • Berezovski, Arkadi
    • Smart Structures and Systems
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    • 제4권2호
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    • pp.123-135
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    • 2008
  • Damping capacity of SMA damping devices is simulated numerically under distinct geometry and loading conditions. Two-dimensional numerical simulations are performed on the basis of a phenomenological model of dynamics of martensite-austenite phase boundaries. Results of the simulations predict the time delay and the value of the stress transferred to other parts of a construction by a damper device.

요동하는 충돌제트에 관한 수치해석적 연구 (A Numerical Study on the Oscillatory Impinging Jet)

  • 박재현;서용권
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.945-949
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    • 2003
  • In this paper, we present that now and heat transfer characteristics of oscillatory impinging jet which have been numerically investigated using parallel computations. Numerical value were obtained for dimensionless distance H=4, dimensionless outlet length L=45 and Reynolds number Re= 1500. It was found that the oscillatory impinging jet generated the regular heat transfer area even though the maximum heat transfer is lower than nonoscillatory impinging jet. We also found that heat transfer depends on the period of nozzle for the oscillatory impinging jet.

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Policy Capturing LP for Ranged Ratings in Performance Appraisal

  • Jung, Ho-Won
    • Management Science and Financial Engineering
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    • 제9권2호
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    • pp.13-20
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    • 2003
  • For inferring criteria in a performance appraisal. linear programming (LP) has been utilized as an alternative to policy capturing (PC). Previous policy capturing LP (PCLP) studies were limited to the criteria of exact numerical ratings. However. under certain evaluation circumstances, a ranged rating with a lower and upper bound may be preferred over an exact numerical value. Therefore, this study introduces a new LP model that allows ranged ratings. A simple example is given to illustrate our model.