• Title/Summary/Keyword: Free Oscillation Analysis

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A Study on the Free Oscillation of the Earth with Earth Tide Gravimeter (지구 조석 중력계에 의한 지구의 자유진동에 관한 연구)

  • 조원희
    • Economic and Environmental Geology
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    • v.32 no.6
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    • pp.653-660
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    • 1999
  • Any mechanical system has a natural oscillation which can be excited, and the earth is no exception. The earth can oscillate in an indefinite number of normal modes of oscillation, rather like a giant bell. The various free modes are generally sparated into two categoridal modes and toroidal modes. Clearly the toroidal modes will produce no perturvation of the gravity field and no vertical acceleration on the surface of the earth. Hence only spheroidal modes can be detected with a gravimeter. EarthTide gravimeter was installed at AIMST in order to observe free modes of the earth. Eight major earthquakes including chinese earthquake (magnitude 7.3) with free oscillations of the earth are observed during one year (1998. 8. 1∼1999.7.31). And then the earth tides components were eilminated from earthquake records using a numerical Butterworth highpass filter. Spectral analysis of gravity readings repersent that 48 observations of shheroidal modes. The relationships between instrumental observations and theoretical predictions based on the Gutenberg earth model agree well those resulting from free oscillation in Korea.

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Free Oscillation Analysis in the Coastal Area using Integrated Finite Difference Method (적분차분법을 이용한 연안역에서의 해수고유진동해석)

  • LEE Byung-Gul
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.27 no.6
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    • pp.782-786
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    • 1994
  • Integrated finite difference method (IFDM) is used to solve one dimensional free oscillation problem in the coastal area. To evaluate the solution accuracy of IFDM in free oscillation analysis, two finite difference equations based on area discretization method and point discretization method are derived from the governing equations of free oscillation, respectively. The difference equations are transformed into a generalized eigenvalue problem, respectively. A numerical example is presented, for which the analytical solution is available, for comparing IFDM to conventional finite difference equation (CFDM), qualitatively. The eigenvalue matrices are solved by sub-space iteration method. The numerical results of the two methods are in good agreement with analytical ones, however, IFDM yields better solution than CFDM in lower modes because IFDM only includes first order differential operator in finite difference equation by Green's theorem. From these results, it is concluded that IFDM is useful for the free oscillation analysis in the coastal area.

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Finite Element Solution of Helmholtz Equation for Free Harbor Oscillation (항만 고유 진동 해석을 위한 Helmholtz 방정식의 유한요소 해법)

  • Ryu, Yeon Sun;Lee, Byung Gul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.47-54
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    • 1993
  • For the numerical analysis of free oscillation characteristics in a harbor with general boundary and bottom topography, finite element method is applied. The governing Helmholtz equation is transformed into a generalized matrix eigenvalue problem using the standard finite element procedure. A computer code is developed for the numerical evaluation of natural frequencies and free oscillation modes. In the eigensolution process, a shifting strategy is devised for the treatment of numerical singularity. Scaling of coefficient matrix is also found to be effective for the alleviation of numerical ill-conditioning. For the test problems, firstly, analytical and numerical solutions are compared and validity of the code is obtained. Hence the method is successfully applicable for the real-world problems with general geometric boundaries and bottom topography.

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Fluid Flow in a Circular Cylinder Subject to Circulatory Oscillation-Theoretical Analysis (회전요동하는 원통내의 유동특성 - 이론적 해석)

  • Seo,Yong-Gwon;Kim, Hyeon-Min
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.12
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    • pp.3960-3969
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    • 1996
  • A fluid flow inside a circular cylinder subject to horizontal and circular oscillation is analyzed theoretically. Under the assumption of small-amplitude oscillation, the governing equations take linear forms. The velocity field is obtained in terms of the first kind of Bessel function of order 1. It was found that a particle describes an orbit close to a circle in the central region and an arc near the side wall. We also obtained the Stokes' drift velocity induced by the traveling wave along the circumferential direction. The Eulerian streaming velocities at the edge of the bottom and side boundary layers were also obtained. It was shown that the vertical component of the steady streaming velocity on the side wall is almost proportional to the amplitude of the free surface motion.

Study on Flame Oscillations in Laminar Lift-off Butane Flames Diluted with Nitrogen (질소 희석된 부탄 부상화염에 있어서 화염진동에 관한 연구)

  • Yoon, Sung-Hwan;Park, Jeong;Kwon, Oh-Boong;Kim, Jeong-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.7
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    • pp.729-738
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    • 2010
  • The characteristics of lifted butane flames diluted with nitrogen have been investigated experimentally in order to elucidate the mechanism of individual flame oscillation modes. Flame oscillations in laminar free-jet lift-off flames are classified into the following five regimes: a stabilized lift-off regime (I), a heat-loss-induced oscillation (II), a buoyancy-induced oscillation along with a heat-loss-induced oscillation (III), a combined form of an oscillation prior to blow-out and a heat-loss-induced oscillation (IV), and a combination of an oscillation prior to blow-out and a buoyancy-induced oscillation along with a heat-loss-induced oscillation (V). The characterization of the individual flame oscillations modes are presented and discussed using Strouhal numbers and their relevant parameters by the analysis of the power spectrum for temporal variation of the lift-off height.

Tuning-free Anti-windup Strategy for High Performance Induction Machine Drives (고성능 유도전동기 구동을 위한 자동 튜닝 Anti-windup 기법)

  • Seok Jul-Ki;Lee Dong-Choon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.10 no.1
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    • pp.29-37
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    • 2005
  • This paper presents a tuning-free conditional integration anti-windup strategy for induction machine with Proportional-Integral(PI) type speed controller. The on/off condition of integral action is determined by the frequency domain analysis of machine torque command without a prior knowledge of set-point changes. There are no tuning parameters to be selected by users for anti-windup scheme. In addition, the dynamic performance of the proposed scheme assures a desired tracking response curve with minimal oscillation and settling time even in the change of operating conditions. This algorithm is useful in many high performance induction machine applications not to allow the oscillation and overshoot of speed/torque responses. The main idea can be extended to general applications such as chemical processes and industrial robots.

Control of free surface shape in the electromagnetic casting process (전자기 주조공정에서의 자유표면 형상 제어)

  • 박재일;강인석
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.612-615
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    • 1996
  • In the continuous casting process, molten metal contacts the mold wall and the molten metal surface is subject to the mold oscillation. The mold oscillation results in the oscillation marks on the surface of solidified steel, which has undesirable effects on the quality of slabs. In order to reduce the oscillation marks by achieving soft contact of molten metal with the mold surface, alternating magnetic field is applied to the surface of molten metal. However, if the magnetic field strength becomes too strong, the melt flow induced by the magnetic field. causes the instability of the molten metal surface, which has also the bad influence on the slab quality. Therefore, it is very important to choose the optimal position of the inductor coil and the optimal level of electric power to minimize the surface defects. In the present work, as a first step toward the optimization problem of the process, numerical studies are performed to investigate the effects of coil position and the electric power level on the meniscus shape and the flow field. As numerical tools, the boundary integral equation method(BIEM) is used for the magnetic field analysis and the finite difference method (FDM) with orthogonal grid generation is used for the flow analysis.

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Tuning-free Anti-windup Strategy for High Performance Induction Machine Drives (고성능 유도전동기 구동을 위한 자동 튜닝 Anti-windup 기법)

  • Seok Jul-Ki;Bae Sang-Gyu;Lee Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2004.07a
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    • pp.312-315
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    • 2004
  • This paper presents a tuning-free conditional integration anti-windup strategy for induction machine with Proportional-Integral (PI) type speed controller. The on/off condition of integral action is determined by the frequency domain analysis of machine torque command without a prior knowledge of set-point changes. There are no tuning parameters to be selected by users for anti-windup scheme. In addition, the dynamic performance of the proposed scheme assures a desired tracking response curve with minimal oscillation and settling time even in the change of operating conditions. This algorithm is useful in many high performance induction machine applications not to allow the oscillation and overshoot of speed/torque responses. The main idea can be extended to general applications such as chemical processes and industrial robots.

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Primary Current Generation for a Contactless Power Transfer System Using Free Oscillation and Energy Injection Control

  • Li, Hao Leo;Hu, Aiguo Patrick;Covic, Grant Anthony
    • Journal of Power Electronics
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    • v.11 no.3
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    • pp.256-263
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    • 2011
  • This paper utilizes free oscillation and energy injection principles to generate and control the high frequency current in the primary track of a contactless power transfer system. Here the primary power inverter maintains natural resonance while ensuring near constant current magnitude in the primary track as required for multiple independent loads. Such energy injection controllers exhibit low switching frequency and achieve ZCS (Zero Current Switching) by detecting the high frequency current, thus the switching stress, power losses and EMI of the inverter are low. An example full bridge topology is investigated for a contactless power transfer system with multiple pickups. Theoretical analysis, simulation and experimental results show that the proposed system has a fast and smooth start-up transient response. The output track current is fully controllable with a sufficiently good waveform for contactless power transfer applications.