• Title/Summary/Keyword: Damped harmonic motion

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Derivation and Numerical Verification of Harmonic Oscillatory Description of Ferromagnetic Vortex Motion (강자기 소용돌이의 단조화 운동 유도 및 수치 검증)

  • Kim, Jun-Yeon;Choe, Sug-Bong
    • Journal of the Korean Magnetics Society
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    • v.18 no.4
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    • pp.127-130
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    • 2008
  • We report a theoretical description of ferromagnetic vortex motion in sub-micrometer size magnetic thin film. Based on Thiele's equation combined with later theoretical achievements, we derive the analytic description of dynamics of ferromagnetic vortex core as a damped harmonic oscillatory motion. Consequently, the relations about frequency and damping constant in damped harmonic oscillation are presented. The validity of the results is verified through micromagnetic simulation.

Theoretical Results for a Dipole Plasmonic Mode Based on a Forced Damped Harmonic Oscillator Model

  • Tongtong Hao;Quanshui Li
    • Current Optics and Photonics
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    • v.7 no.4
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    • pp.449-456
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    • 2023
  • The localized surface-plasmon resonance has drawn great attention, due to its unique optical properties. In this work a general theoretical description of the dipole mode is proposed, using the forced damped harmonic oscillator model of free charges in an ellipsoid. The restoring force and driving force are derived in the quasistatic approximation under general conditions. In this model, metal is regarded as composed of free charges and bound charges. The bound charges form the dielectric background which has a dielectric function. Those free charges undergo a collective motion in the dielectric background under the driving force. The response of free charges will not be included in the dielectric function like the Drude model. The extinction and scattering cross sections as well as the damping coefficient from our model are verified to be consistent with those based on the Drude model. We introduce size effects and modify the restoring and driving forces by adding the dynamic depolarization factor and the radiation damping term to the depolarization factor. This model provides an intuitive physical picture as well as a simple theoretical description of the dipole mode of the localized surface-plasmon resonance based on free-charge collective motion.

A Study on Optimal Multi-dynamic Absorber of Damped Linear Vibration System under the Harmonic Motion of the Base (기반의 조화운동을 받는 감쇠선형진동계의 최적 복합동흡진기에 관한 연구)

  • 안찬우;김동영;홍도관
    • Journal of KSNVE
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    • v.10 no.2
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    • pp.325-330
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    • 2000
  • A dynamic absorber is used to protect the primary vibration system under the steady-state harmonic disturbance. In a number of cases it appears expedient to install several absorbers of smaller masses instead of one. This may be due to the need of distribute the absorber's response along the construction, restrictions on the absorber's installation. So, we studied characteristics of the primary vibration system for the optimal natural frequency ratio and the optimal damping ratio of serial multi-dynamic absorber. Also we obtained the optimum values of the serial multi-dynamic absorber parameters using computer simulation for the damped primary vibration system. In designing multi-dynamic absorber, we presented for the optimal natural frequency and the optimal damping ratio of multi-dynamic absorbers.

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감쇠진동계에 부착된 코일스프링과 오일댐퍼로 구성된 동흡진기

  • 최석창;안찬우;박일수;이희범
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.289-293
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    • 1996
  • Vibration absorber is used to protect the primary system from steady-state harmonic disturbance. By attaching the absorber to the primary system which is modeled as a SDOF system, the new system becomes two DOF system. Depending on the driving frequency on the original system, the absorber needs to be carefully tuned, that is, to choose adequate value of the absorber mass and stiffness, so that the motion of the original mass is a minimum. This paper presents the effects of resonance frequency ratio and of vibration absorber with oil damper and coil spring for linear damped primary systems.

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A Study of Stability Analysis on Nonlinear Dynamic Vibration Absorber Acting on Damped Main Vibration Systems (선형진동계에 작용하는 비선형진흡진기에 관한 안정성해소 연구)

  • 안찬우;박일수;박동환
    • Journal of Ocean Engineering and Technology
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    • v.6 no.1
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    • pp.62-68
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    • 1992
  • In this study, a system coupled with the nonlinear dynamic vibration absorber was modelled, and its equation of motion was analized by the harmonic balance method to obtain the amplitude ratio. And also, the stability analysis was done by the Routh Hurwitz method. In the vibration systems coupled with the nonlinear dynamic vibration absorber, the unstable region and the jump phenomenon can be ramarkably affected by the damping ratio. The stable and unstable region that obtained to differential method excellently agreed to the result of the stability analysis of Routh Hurwitz.

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Natural Frequency of 2-Dimensional Heaving Circular Cylinder: Time-Domain Analysis (상하동요하는 2차원 원주의 고유진동수: 시간 영역 해석)

  • Kim, Ki-Bum;Lee, Seung-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.50 no.4
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    • pp.224-231
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    • 2013
  • The concept of the natural frequency is useful for understanding the characters of oscillating systems. However, when a circular cylinder floating horizontally on the water surface is heaving, due to the hydrodynamic forces, the system is not governed by the equation like that of the harmonic one. In this paper, in order to shed some lights on the more correct use of the concept of the natural frequency, a problem of the heaving circular cylinder is analyzed in the time domain. The equation of motion, an integro-differential equation, was derived following the fashion of Cummins (1962), and its coefficients including the retardation function were obtained using the numerical solution of Lee (2012). The equation was solved numerically, and the experiment was also carried out in the CNU flume. Using our numerical and experimental results, the natural frequency was defined as its average value given by the motion data excluding those of the initial stage. Our results were then compared with those of the existing investigations such as Maskell and Ursell (1970), Ito (1977) and Yeung (1982) as well as the newly obtained results of Lee (2012). Comparison showed that the natural frequency obtained here agrees well with that of Lee (2012), which was found through the frequency domain analysis. It was also shown that the approximation of heaving motion by a damped harmonic oscillation, which was regarded as suitable by most previous investigators, is not physically suitable for the reason that can be clearly shown through comparing the shape of MCFRs(Modulus of Complex Frequency Response). Furthermore, we found that although the previous approximations yield the damping ratio significantly different from our result the magnitude of natural frequency is not much different from our result.

Unsteady Flow Analysis of Oil Jet for Cooling the Piston (피스톤 냉각용 오일제트 비정상 유동 해석)

  • Kwon, Ji-Hyuk;Lee, Yeon-Won;Kim, Jae-Wan
    • Transactions of the Korean Society of Automotive Engineers
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    • v.16 no.2
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    • pp.1-7
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    • 2008
  • In order to enhance the performance of an automotive engine, many researchers have been carried out. An oil jet cooling a piston is one of important parts for engine performance. Therefore, the efficient cooling system of an oil jet is needed. In this paper, unsteady flow analysis of the oil jet which consists of a check valve and a nozzle has been accomplished. And the reaction between mass flow rate and ball movement was also investigated.

Natural Frequency of 2-Dimensional Cylinders in Heaving; Frequency-Domain Analysis (상하동요하는 2차원 주상체의 고유진동수; 주파수 영역 해석)

  • Song, Je-Ha;Lee, Seung-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.52 no.1
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    • pp.25-33
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    • 2015
  • Following the previous works on the natural frequency of heaving circular cylinder, i.e. Lee and Lee (2013) and Kim and Lee (2013), an investigation of the same spirit on the 2-dimensional cylinder of Lewis form has been conducted. As before, the natural frequency is defined as that corresponding to the local maximum of the MCFR (Modulus of Complex Frequency Response), which is given by the equation of motion in the frequency domain analysis. Hydrodynamic coefficients were found by using the Ursell-Tasai method, and numerical results for them were obtained up to much higher frequencies than before, for which the method was known as numerically unstable in the past. For a wide range of H, the beam-draft ratio, and ${\sigma}$, the sectional area coefficient, including their practical ranges for a ship, results for the natural frequency were computed and presented in this work. Two approximate values for the natural frequency, one proposed by Lee (2008) and another one by the damped harmonic oscillator, were also compared with the current results, and for most cases it was observed that the current result is between the two values. Our numerical results showed that the values of the local maximum of MCFR as well as the natural frequencye increase as ${\sigma}$ increases while H decreases. At present, extension of the present finding to the 3-dimensional ship via the approximate theory like the strip method looks promising.