• Title/Summary/Keyword: Parameter Instability

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STUDY ON GRAVOTHERMAL OSCILLATIONS WITH TWO-COMPONENT FOKKER-PLANCK MODELS

  • KIM SUNGSOO S.;LEE HYUNG MOK
    • Journal of The Korean Astronomical Society
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    • v.29 no.spc1
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    • pp.143-144
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    • 1996
  • Two-component models (normal star and degenerate star components) are the simplest realization of clusters with a mass spectrum because the high mass stars quickly evolve off leaving degenerate stars behind, while low mass stars survive for a long time as main-sequence stars. In the present study we examine the post-collapse evolution of globular clusters using two-component Fokker-Planck models that include three-body binary heating. We confirm that a simple parameter ${\epsilon}{\equiv} (E_{tot}/t_{rh})/(E_c/t_{rc})$ well describes the occurrence of gravothermal oscillations of two-component clusters. Also, we find that the degree of instability depends on the steepness of the mass function such that clusters with a steeper mass function are less exposed to instability.

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A Study on the Dynamic Stability of a Flexible Missile with Mass Variation (질량변화를 갖는 유연한 미사일의 동적 안정성에 관한 연구)

  • Ryu, Bong-Jo
    • Journal of the Korean Society for Precision Engineering
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    • v.8 no.4
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    • pp.107-117
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    • 1991
  • The dynamic stability problem of nonconservative system is one of the important problems. In this study, flexible missile with mass variation is regarded as a free Timoshenko beam subjected to a controlled follower force. The stability was studied numerically through the finite element method. Through the study, the obtained results are as follows: [1] Without force direction control (1) In the case of no mass reduction, the existence of concentrated mass increases critical follower force. (2) Mass reduction rate of the beam slightly effects on the change of critical follower force. [2] With force direction control (1) Shear deformation parameter S contributes insignificantly to the force at instability when $S{\geq}10^4$. (2) With mass variation, increase of concentrated mass increases critical follower force at instbility. (3) The type of promary instability is determined by the sensor location.

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Application of Combustion Stabilization Devices to Liquid Rocket Engine (액체 로켓엔진에서 연소 안정화기구의 적용에 관한 연구)

  • Sohn Chae-Hoon;Moon Yoon-Wan;Ryu Chul-Sung;Kim Young-Mog
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.259-262
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    • 2002
  • Application of combustion stabilization devices such as baffle and acoustic cavity to liquid propellant rocket engine is investigated to suppress high-frequency combustion instability, i.e., acoustic instability. First, these damping devices are designed based on linear damping theory. As a principal design parameter, damping factor is considered and calculated numerically in the chambers with various specifications of these devices. Next, the unbaffled chambers with/without acoustic cavities are tested experimentally for several operating conditions. The unbaffled chamber shows the specific stability characteristics depending on the operating condition and has small dynamic stability margin. The most hazardous frequency is clearly identified through Fast Fourier Transform. As a result, the acoustic cavity with the present design has little stabilization effect in this specific chamber. Finally, stability rating tests are conducted with the baffled chamber, where evident combustion stabilization is observed, which indicates sufficient damping effect. Thrust loss caused by baffle installation is about $2{\%}$.

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A Theoretical Investigation on the Instability Phenomena of Induction Motor Drive System (유도전동기구동계(系)의 불안정현상에 관한 이론적고찰)

  • Baek, Soo-Hyun;Kim, Pill-Soo;Song, Sung-Joon;Kim, Yong
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.7-10
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    • 1990
  • In this paper the instability analysis of Inverter fed Induction motor drive system is performed by calculate the eigen value of the linearised equation which describe the behavior of the Induction motor. Inverter fed Induction motor drive system may become unstable at low speeds(frequencies) even though balanced, sinusoidal voltage are applied. Effect for the change of machine parameter and Inverter delay time are simulated by digital computer.

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TURING INSTABILITY IN A PREDATOR-PREY MODEL IN PATCHY SPACE WITH SELF AND CROSS DIFFUSION

  • Aly, Shaban
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.2
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    • pp.129-138
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    • 2013
  • A spatio-temporal models as systems of ODE which describe two-species Beddington - DeAngelis type predator-prey system living in a habitat of two identical patches linked by migration is investigated. It is assumed in the model that the per capita migration rate of each species is influenced not only by its own but also by the other one's density, i.e. there is cross diffusion present. We show that a standard (self-diffusion) system may be either stable or unstable, a cross-diffusion response can stabilize an unstable standard system and destabilize a stable standard system. For the diffusively stable model, numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation and the cross migration response is an important factor that should not be ignored when pattern emerges.

The Hydrodynamic Stability of Natural Convection Flows Adjacent to an Inclined Isothermal Surface Submerged in Cold, Pure Water (순수한 찬물속에 잠겨있는 경사진 등온벽면 부근의 자연대류에 관한 수동력학적 안정성)

  • Hwang, Y.K.;Jang, M.R.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.2 no.4
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    • pp.268-278
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    • 1990
  • Hydrodynamic stability equations are formulated for natural convection flows adjacent to a heated or cooled, inclined, isothermal surface in pure water at $4^{\circ}C$, where the density variation with temperature becomes nonlinear. The resulting stability equations, when reduced to ordinary differential equations by a similarity transformation, constitute a two-point boundary-value problem, which was solved numerically. It is found from the obtained stability results that the neutral stability curves are systematically shifted to have lower critical Grashof numbers, as the inclination angle of upward-facing plate increases. Also, the nose of the neutral stability curve becomes blunter as the angle increases. It implies that the greater the inclination of the upward-facing plate, the more susceptible of the flow to instability for the wide range of disturbance wave number and frequency.

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Dynamic buckling response of temperature-dependent functionally graded-carbon nanotubes-reinforced sandwich microplates considering structural damping

  • Shokravi, Maryam;Jalili, Nader
    • Smart Structures and Systems
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    • v.20 no.5
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    • pp.583-593
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    • 2017
  • This research deals with the nonlocal temperature-dependent dynamic buckling analysis of embedded sandwich micro plates reinforced by functionally graded carbon nanotubes (FG-CNTs). The material properties of structure are assumed viscoelastic based on Kelvin-Voigt model. The effective material properties of structure are considered based on mixture rule. The elastic medium is simulated by orthotropic visco-Pasternak medium. The motion equations are derived applying Sinusoidal shear deformation theory (SSDT) in which the size effects are considered using Eringen's nonlocal theory. The differential quadrature (DQ) method in conjunction with the Bolotin's methods is applied for calculating resonance frequency and dynamic instability region (DIR) of structure. The effects of different parameters such as volume percent of CNTs, distribution type of CNTs, temperature, nonlocal parameter and structural damping on the dynamic instability of visco-system are shown. The results are compared with other published works in the literature. Results indicate that the CNTs have an important role in dynamic stability of structure and FGX distribution type is the better choice.

Nondimensional Analysis of Periodically Unstable Shock-Induced Combustion (주기적 불안정성을 가지는 충격파 유도 연소의 무차원 해석)

  • Choi, Jeong-Yeol;Jeung, In-Seuck;Yoon, Young-Bin
    • Journal of the Korean Society of Combustion
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    • v.1 no.2
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    • pp.41-49
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    • 1996
  • A numerical study is conducted to investigate the periodically unstable shock induced combustion around blunt bodies in stoichiometric hydrogen-air mixtures. Euler equations are spatially discretized by upwind-biased third order scheme and temporally integrated by Runge-Kutta method. Chemistry model used in this study involves 8 elementary kinetics steps and 7 species. At a constant Mach number, the effects of projectile size, inflow pressure and inflow temperature are examined with Lehr#s experimental condition as a reference. In addition to oscillation frequency, characteristic distances and time averaged values are found from the result to find an relation with dimensionless parameters. As a result, it is found that the effects of inflow pressure and body size are very similar and $Damk{\ddot{o}}hler$ number plays an important role in determining the instability characteristics.

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An Experimental Study On Characteristics of Flame and Combustion Stability of Coaxial Jet Injectors (동축형 제트 분사기의 화염 및 연소 안정성 특성에 관한 실험적 연구)

  • Son, Jinwoo;Min, Yong Ho;Sohn, Chae Hoon
    • Journal of the Korean Society of Combustion
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    • v.21 no.2
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    • pp.15-21
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    • 2016
  • Flame characteristics and combustion stability of a swirl coaxial injector are studied experimentally. Characteristics of flame and combustion instability are analyzed with the parameter of MFR (momentum flux ratio) using hexane instead of kerosene. Flame patterns of blue and yellow are changed with variable MFR. Combustion instabilities are measured and analyzed by adopting a model chamber. Combustion instability mapping is made by evaluating damping factor at the 2 L (second longitudinal) mode with variable MFR in 63 cases for operating condition.

Correlation between spin density and Vth instability of IGZO thin-film transistors

  • Park, Jee Ho;Lee, Sohyung;Lee, Hee Sung;Kim, Sung Ki;Park, Kwon-Shik;Yoon, Soo-Young
    • Current Applied Physics
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    • v.18 no.11
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    • pp.1447-1450
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    • 2018
  • The electron spin resonance (ESR) detects point defect of the In-Ga-Zn oxide (IGZO) like singly ionized oxygen vacancies and excess oxygen, and get spin density as a parameter of defect state. So, we demonstrated the spin density measurement of the IGZO film with various deposition conditions and it has linear relationship. Moreover, we matched the spin density with the total BTS and the threshold voltage ($V_{th}$) distribution of the IGZO thin film transistors. The total BTS ${\Delta}V_{th}$ and the $V_{th}$ distribution were degraded due to the spin density increases. The spin density is the useful indicator to predict $V_{th}$ instability of IGZO TFTs.