• 제목/요약/키워드: oscillations

검색결과 955건 처리시간 0.031초

MULTIPLE SCALE ANALYSIS OF A DELAYED PREDATOR PREY MODEL WITHIN RANDOM ENVIRONMENT

  • Saha, Tapan;Bandyopadhyay, Malay
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.1191-1205
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    • 2008
  • We consider a delayed predator prey model. The local stability and Hopf bifurcation results are stated taking the time delay as a control parameter. We apply multiple scale analysis to analyze the effects of additive white noises near the Hopf bifurcation point at the positive interior equilibrium state. The governing equations for the amplitude of oscillations on a slow time scale are derived. We identify the process of amplitude of oscillations and derive its transient properties. We show that oscillations, which would decay in the deterministic system whenever time delay lies below its critical value, persists for long time under the validity of multiple scale analysis.

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교량건설방식에 따른 수학적 모델링의 변천과정 기술과 현수교 방정식의 수학적 연구의 흐름 (The Main Stream of Mathematical Modeling of a Suspension Bridge)

  • 남혜원
    • 한국수학사학회지
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    • 제20권4호
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    • pp.93-104
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    • 2007
  • 현수교는 기둥 설치가 용이하지 않은 환경에 적용할 수 있는 혁신적인 교량 건설 방법으로 사람들의 관심을 끌어왔다. 그러나 Tocoma Narrows Bridge의 붕괴이후 안전상의 문제가 제기되었으며, 많은 비용이 지불되는 교량 건설에 시행착오를 줄이고자 현수교 방정식에 대한 연구가 시행되었다. 이 논문에서는 다양한 현수교 방정식의 모델을 정리하여 현수교 방정식의 차후 연구 방향을 제시하고자 한다.

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자기탄성체 리본의 공진을 이용한 인-라인 오일 점도센서 (In-line Oil Viscosity Sensor Implementing An Elastomagnetic Ribbon Resonance)

  • 공호성;한흥구
    • Tribology and Lubricants
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    • 제26권2호
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    • pp.97-104
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    • 2010
  • A new magnetoelastic technique of oil viscosity measurement, where the oil viscosity is estimated by frequency shift of natural oscillations of magnetoelastic ribbon, is implemented in this study. Laboratory tests of the detector prototype are performed for measurement of viscosity of base synthetic and mineral oils. It was found that measurement accuracy was better when damping factor was estimated in comparison with accuracy of frequency of damped oscillations. Thus the oil viscosity was calibrated as a function of number of pulses of the damped oscillations of magnetoelastic ribbon. Result generally showed that developed detector is promising for in line oil viscosity measurement in wide viscosity range from 10 cSt up to 600 cSt, while the viscosity measurement was relatively instable when the viscosity of test oil was over 400 cSt.

Symptoms of Self-excited Combustion Oscillation and their Detection

  • Yang, Young-Joon;Akamatsu, Fumiteru;Katsuki, Masashi;Bae, Suk-Tae;Kim, Si-Pom
    • Journal of Mechanical Science and Technology
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    • 제18권10호
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    • pp.1859-1868
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    • 2004
  • Monitoring of OH chemiluminescence through an optical fiber was demonstrated to be a useful method in detecting self-excited combustion oscillations. OH chemiluminescence intensity detected by the optical fiber showed mostly excellent agreement with those obtained by high speed CCD camera measurements when combustion oscillations were strong. Symptoms of self-excited combustion oscillation were also studied in order to predict the onset of combustion oscillation before it proceeded to a catastrophic failure. For the purpose, we have found and proposed unique measures to tell the onset of self-excited combustion oscillations based on the careful statistics of fluctuating properties in flames, such as pressure or emission of OH radicals.

표면연소기의 연소진동음에 관한 연구 (A Study on Combustion-Driven Oscillations in a Surface Burner)

  • 한희갑;권영필
    • 대한기계학회논문집B
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    • 제22권11호
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    • pp.1582-1590
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    • 1998
  • Combustion-driven oscillations in a surface burner have been investigated to clarify their characteristics. A model combustor is made and the oscillation frequencies are measured for various dimensions of the combustor. It is found that there are two modes of oscillations; one is the 'acoustic mode' at high frequencies, associated with the acoustic mode of the combustion system and the other is the 'combustion mode' at low frequencies around 100 Hz, associated with the instability of the flame. Acoustic mode is excited when the surface burner is placed where the phase of particle velocity leads that of acoustic pressure by $90^{\circ}$, for all the combustion conditions. Combustion mode is driven at high combustion rate by the lift of unstable flame near the lower limit of the combustible equivalence ratio. Combustion mode is greatly influenced by the inlet temperature of the premixed gas. When the inlet temperature is very high, the combustion mode does not occur.

다구찌 방법을 이용한 전기자동차 구동계의 진동 억제 제어 (Suppression Control of the Drivetrain-Oscillations of an Electric Vehicle Using Taguchi Method)

  • 김호기
    • 대한기계학회논문집A
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    • 제33권5호
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    • pp.463-468
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    • 2009
  • Torsional oscillations of the drivetrain in electric vehicles are generated under rapid driving conditions. These lead to an uncomfortable jerking of the vehicle and an increased stress of the mechanical components. To suppress torsional oscillations, the low pass and notch filters between the torque command from the acceleration pedal and electric motor input torque are suggested. The filter parameters are optimized based on Taguchi method with $L_{18}(3^5)$ orthogonal array. The signal to noise (S/N) ratio mainly depends on slew rate of motor input torque, damping ratio and natural frequency of notch filter. With the proposed suppression control scheme, the S/N ratio is shown to be increased by 4.7dB and the torque overshoot of the drive shaft is reduced to 30%.

CHARACTERISTICS OF ATMOSPHERIC WAVES OBSERVED FROM AIRGLOW MEASUREMENTS IN THE NORTHERN HIGH-LATITUDE

  • Won, Yong-In;Lee, Bang-Yong;Kwon, Soon-Chul
    • Journal of Astronomy and Space Sciences
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    • 제21권2호
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    • pp.101-108
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    • 2004
  • The terrestrial nightglow emission in near infrared region were obtained using a Fourier Transform Spectrometer(FTS) at Esrange, Sweden ($67.90^{\circ}$N, $21.10^{\circ}$E) and the OH(4- 2) bands were used to derive temperature and airglow emission rate of the upper mesosphere. For this study, we analyzed data taken during winter of 2001/2002 and performed spectral analysis to retrieve wave information. From the Lomb-Scargle spectral analysis to the measured temperatures, dominant oscillations at various periods near tidal frequency are found. Most commonly observed waves are 4, 6, and 8 hour oscillations. Because of periods and persistence, the observed oscillations are most likely of tidal origin, i.e. zonally symmetric tides which are known to have their maximum amplitudes at the pole.

가사경수형 원자로에서의 제논 영향으로 인한 축방향 출력진동 시간최적제어 (Time-Optimal Control of Xenon-Induced Axial Power Oscillations in Pressurized Water Reactor)

  • Won-Hyo Yoon
    • 대한전기학회논문지
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    • 제33권3호
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    • pp.91-99
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    • 1984
  • Time-optimal control for dmping a one-dimensional xenon-induced spatial power oscillations in pressurized water reactor is studied. Linearized system equations describing the spatial xenon oscillations have been derived based on lambda mode analysis. Optimal control strategies, eventually bang-bang controls, have been drawn applying Pontryagins Minimum Principle, subject to a band constraint on available contros strength. Validity of the linearized system equations and optimal control strategies derived has been demonstrated through conputer simulations which incorporate the finite difference method for one dimensional axial geometry, for the soulution of the two-group neutron diffusion equations. The results obtained through computer simulations show that xenon-induced transients can be suppressed successfully with bang-bang control.

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A Neuro-Fuzzy Controller for Xenon Spatial Oscillations in Load-Following Operation

  • Na, Man-Gyun;Belle R. Upadhyaya
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1997년도 추계학술발표회논문집(1)
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    • pp.299-304
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    • 1997
  • A neuro-fuzzy control algorithm is applied for xenon spatial oscillations in a pressurized water reactor. The consequent and antecedent parameters of the fuzzy rules are tuned by the gradient descent mettled. The reactor model used for computer simulations is a two-point xenon oscillation model. The reactor core is axially divided into two regions and each region has one input and one output and is coupled with the other region. The interaction between the regions of the reactor core is treated by a decoupling scheme. This proposed control of mettled exhibits very fast responses to a step or a ramp change of target axial offset without any residual flux oscillations.

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비등유로의 압력강하 요동특성 (Characteristics of Pressure-Drop Oscillations in a Boiling Channel)

  • 김병주;신광섭
    • 설비공학논문집
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    • 제7권1호
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    • pp.132-141
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    • 1995
  • Characteristics of pressure-drop oscillations(PDO) in a boiling channel were studied numerically and compared with experimental data. Effects of initial and boundary conditions on PDO were investigated in terms of oscillation period and amplitude. The period and amplitude of PDO increased with increasing of the compressible volume in the surge tank and the heat input. PDO occurred within the specific range of the fluid temperature, at which oscillation period and amplitude diminished rapidly with the increase of the fluid temperature. The increase of the loss coefficient in fluid supply line resulted in slightly longer oscillation period and larger amplitude. Numerical results showed good agreement with the experimental data.

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