• Title/Summary/Keyword: ratio-dependent response function

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GLOBAL ASYMPTOTIC STABILITY OF POSITIVE STEADY STATES OF AN n-DIMENSIONAL RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION

  • Zhou, Jun
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1847-1854
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    • 2013
  • The main concern of this paper is to study the dynamics of an n-dimensional ratio-dependent predator-prey system with diffusion. We study the dissipativeness, persistence of the system and it is shown that the unique positive constant steady state is globally asymptotically stable under some assumptions.

Assessment of Coal Combustion Safety of DTF using Response Surface Method (반응표면법을 이용한 DTF의 석탄 연소 안전성 평가)

  • Lee, Eui Ju
    • Journal of the Korean Society of Safety
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    • v.30 no.1
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    • pp.8-13
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    • 2015
  • The experimental design methodology was applied in the drop tube furnace (DTF) to predict the various combustion properties according to the operating conditions and to assess the coal plant safety. Response surface method (RSM) was introduced as a design of experiment, and the database for RSM was set with the numerical simulation of DTF. The dependent variables such as burnout ratios (BOR) of coal and $CO/CO_2$ ratios were mathematically described as a function of three independent variables (coal particle size, carrier gas flow rate, wall temperature) being modeled by the use of the central composite design (CCD), and evaluated using a second-order polynomial multiple regression model. The prediction of BOR showed a high coefficient of determination (R2) value, thus ensuring a satisfactory adjustment of the second-order polynomial multiple regression model with the simulation data. However, $CO/CO_2$ ratio had a big difference between calculated values and predicted values using conventional RSM, which might be mainly due to the dependent variable increses or decrease very steeply, and hence the second order polynomial cannot follow the rates. To relax the increasing rate of dependent variable, $CO/CO_2$ ratio was taken as common logarithms and worked again with RSM. The application of logarithms in the transformation of dependent variables showed that the accuracy was highly enhanced and predicted the simulation data well.

Transient stochastic analysis of nonlinear response of earth and rock-fill dams to spatially varying ground motion

  • Haciefendioglu, Kemal
    • Structural Engineering and Mechanics
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    • v.22 no.6
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    • pp.647-664
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    • 2006
  • The main purpose of this paper is to investigate the effect of transient stochastic analysis on nonlinear response of earth and rock-fill dams to spatially varying ground motion. The dam models are analyzed by a stochastic finite element method based on the equivalent linear method which considers the nonlinear variation of soil shear moduli and damping ratio as a function of shear strain. The spatial variability of ground motion is taken into account with the incoherence, wave-passage and site response effects. Stationary as well as transient stochastic response analyses are performed for the considered dam types. A time dependent frequency response function is used throughout the study for transient stochastic responses. It is observed that stationarity is a reasonable assumption for earth and rock-fill dams to typical durations of strong shaking.

Flame Transfer Function Measurement in a Premixed Combustor (예혼합 연소기에서의 화염 전달 함수 측정)

  • Kim, Dae-Sik;Kim, Ki-Tae;Chen, Seung-Bae;Lee, Jong-Guen;Santavicca, Domenic
    • Journal of the Korean Society of Combustion
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    • v.13 no.2
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    • pp.1-6
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    • 2008
  • An experimental study of the flame response in a turbulent premixed combustor has been conducted with room temperature, atmospheric pressure inlet conditions using premixed natural gas. The fuel is premixed with the air upstream of a choked inlet to avoid equivalence ratio fluctuations. Therefore the observed flame response is only the result of the imposed velocity fluctuations, which are produced using a variable speed siren. Measurements are made of the velocity fluctuation in the nozzle using hot wire anemometry and of the heat release fluctuation in the combustor using chemiluminescence emission. The results are analyzed to determine the phase and gain of the flame transfer function as a function of the modulation frequency. Of particular interest is the effect of flame structure on the flame response predictions and measurements. The results show that both the gain and the phase of flame transfer function are closely associated with the flame length and structure, which is dependent upon the upstream flow perturbation as well as equivalence ratio in the current study.

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Flame Dynamic Response to Inlet Flow Perturbation in a Turbulent Premixed Combustor (난류 예혼합 연소기에서의 흡입 유동 섭동에 대한 화염의 동적 거동)

  • Kim, Dae-Sik
    • Journal of the Korean Society of Combustion
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    • v.14 no.4
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    • pp.48-53
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    • 2009
  • This paper describes the forced flame response in a turbulent premixed gas turbine combustor. The fuel was premixed with the air upstream of a choked inlet to avoid equivalence ratio fluctuations. To impose the inlet flow velocity, a siren type modulation device was developed using an AC motor, rotating and static plates. Measurements were made of the velocity fluctuation in the nozzle using hot wire anemometry and of the heat release fluctuation in the combustor using chemiluminescence emission. The test results showed that flame length as well as geometry was strongly dependent upon modulation frequency in addition to operating conditions such as inlet velocity. Convection delay time between the velocity perturbation and heat release fluctuations was calculated using phase information of the transfer function, which agreed well with the results of flame length measurements. Also, basic characteristics of the flame nonlinear response shown in the current test conditions were introduced.

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Design of Friction Dampers for Seismic Response Control of a SDOF Building (단자유도 건물의 지진응답제어를 위한 마찰감쇠기 설계)

  • Min, Kyung-Won;Seong, Ji-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.1
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    • pp.22-28
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    • 2010
  • Approximate analysis for a building installed with a friction damper is performed to get insight of its dynamic behavior. Energy balance equation is used to have a closed analytical form solution of dynamic magnification factor(DMF). It is found out that DMF is dependent on friction force ratio and resonance frequency. Approximation of DMF and equivalent damping ratio of a friction damper is proposed with such assumption that the building with a friction damper shows harmonic steady-state response and narrow banded response behavior near resonance frequency. Linear transfer function from input external force to output building displacement is suggested from the simplified DMF equation. Root mean square of a building displacement is derived under earthquake-like random excitation. Finally, design procedure of a friction damper is proposed by finding friction force corresponding to target control ratio. Numerical analysis is carried out to verify the proposed design procedure.

Suppression of aerodynamic response of suspension bridges during erection and after completion by using tuned mass dampers

  • Boonyapinyo, Virote;Aksorn, Adul;Lukkunaprasit, Panitan
    • Wind and Structures
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    • v.10 no.1
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    • pp.1-22
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    • 2007
  • The suppression of aerodynamic response of long-span suspension bridges during erection and after completion by using single TMD and multi TMD is presented in this paper. An advanced finite-element-based aerodynamic model that can be used to analyze both flutter instability and buffeting response in the time domain is also proposed. The frequency-dependent flutter derivatives are transferred into a time-dependent rational function, through which the coupling effects of three-dimensional aerodynamic motions under gusty winds can be accurately considered. The modal damping of a structure-TMD system is analyzed by the state-space approach. The numerical examples are performed on the Akashi Kaikyo Bridge with a main span of 1990 m. The bridge is idealized by a three-dimensional finite-element model consisting of 681 nodes. The results show that when the wind velocity is low, about 20 m/s, the multi TMD type 1 (the vertical and horizontal TMD with 1% mass ratio in each direction together with the torsional TMD with ratio of 1% mass moment of inertia) can significantly reduce the buffeting response in vertical, horizontal and torsional directions by 8.6-13%. When the wind velocity increases to 40 m/s, the control efficiency of a multi TMD in reducing the torsional buffeting response increases greatly to 28%. However, its control efficiency in the vertical and horizontal directions reduces. The results also indicate that the critical wind velocity for flutter instability during erection is significantly lower than that of the completed bridge. By pylon-to-midspan configuration, the minimum critical wind velocity of 57.70 m/s occurs at stage of 85% deck completion.

Effects of Changes in Equivalence Ratio and Modulation Condition on Flame Transfer Function (당량비 및 섭동 조건 변화가 화염 전달 함수에 미치는 영향)

  • Kim, Dae-Sik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.15 no.4
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    • pp.35-40
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    • 2011
  • An experimental study of the flame response in a turbulent premixed combustor has been conducted in order to investigate mechanisms for combustion instabilities in a lean premixed gas turbine combustor. A lab-scale combustor and mixing section system were fabricated to measure the flame transfer function. Measurements are made of the velocity fluctuation in the nozzle using hot wire anemometry and of the heat release fluctuation in the combustor using chemiluminescence emission. The results show that the flame transfer functions are greatly dependent on the modulation frequency as well as operating conditions such as equivalence ratio. Flame dynamics can be generalized as a function of Strouhal number which is a ratio of flame length to modulation wave length.

Approximate solution for a building installed with a friction damper : revisited and new result (마찰감쇠기가 설치된 건물 응답의 근사해 : 재 고찰 및 새로운 결과)

  • Min, Kyung-Won;Seong, Ji-Young;Lee, Sung-Kyung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.10a
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    • pp.850-854
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    • 2009
  • Approximate analysis for a building installed with a friction damper is revisited to get insight of its dynamic behavior. Energy balance equation is used to have a closed analytical form solution of dynamic magnification factor (DMF) for the building with combined viscous and friction damping. It is found out that DMF is dependent on friction force ratio and resonance frequency. Linear transfer function from input external force to output building displacement is obtained by simplifying DMF equation. Root mean square of building displacement is derived under earthquake-like random excitation. Finally, design of friction damper is proposed by processing target control ratio, damping ratio factor, and friction force in sequence.

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Response of Rabbit Appendix Cells to Specific Antigen and Mitogen (가토충양돌기세포(家兎蟲樣突起細胞)의 특이항원(特異抗原) 및 Mitogen에 대(對)한 반응(反應))

  • Ha, Tai-You
    • The Journal of the Korean Society for Microbiology
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    • v.10 no.1
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    • pp.1-8
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    • 1975
  • Despite a number of recent studies on appendix its function appears to remain unknown. The present studies were undertaken in order to extend and confirm the previous studies concerning the role of appendix in immune response. An early hemagglutinin response of mercaptoethanol sensitive antibody(IgM antibody) in rabbit injected intravenously(i.v.) with 200mcg of bovine gamma globulin(BGG) was abolished by lethal whole body irradiation(900 r), but preserved in animals whose appendix and bone marrow were shielded during irradiation. Late formation of mercaptoethanol resistant antibody(IgG antibody) and the development of memory in bone marrow shielded animals were not affected by irradiation of the appendix. Formation of either IgM or IgG antibody to sheep red blood cells(SRBC) injected i.v. as determined by direct plaque forming cell(DPFC) technique in spleen were effectively abolished by appendectomy, thymectomy, or both followed by irradiation. When bone marrow was shielded in combination with autologous appendix reconstitution, DPFC response was about 5 times greater than the sum of two. Lysed appendix cells failed to restore the response. Lethally irradiated rabbits restored with combination of autologous appendix and thymus cells showed DPFC responses which were essentially normal. Three pools of appendix were obtained by manual separation technique and were stimulated with soluble concanavalin A(Con A), phytohemagglutinin-P(PHA) and pokeweed mitogen(PWM). Rabbit appendix cells responded to Con A, PHA and PWM. Cells of thymus dependent area(TDA) of the appendix were relatively enriched in their response to T cell mitogens compared to dome and follicle cells. The PHA/Con A responsive ratio of appenix TDA subpopulation was high, indicating that Con A responsive cells have a wider distribution among appendix. This finding showed that interfollicular area of the appendix is thymus-dependent. The present studies confirmed other evidence that the rabbit appendix cells itself are unable to form antibody and T lymphocytes in appendix TDA may be heterogenous, and that the appendix cells are synergistic with either bone marrow or thymus cells in the early hemagglutinin on splenic antibody response to BGG or SRBC.

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