• Title/Summary/Keyword: Sinusoidal Function

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A Computational Fluid Dynamics Analysis on Sloshing in Rectangular Tank (사각통에서의 슬로싱에 대한 전산유체역학적 연구)

  • Kwack Youngkyun;Lee Youngsin;Kor Sungho
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.99-102
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    • 2002
  • The present study describes a numerical analysis for simulation of the sloshing of flows with free-surface which contained in a rectangular tank The SOLA-VOF (Volume of fluid) method uses a fixed mesh for calculating the motion of flow and the free-surface. This Eulerian approach enables the VOF method to use only a small amount of computer memory for simulating sloshing problems with complicated free-surface contours. The VOF function, representing the volume fraction of a cell occupied by the fluid, is calculated for each cells, which gives the locating of the free-surface filling any some fraction of cells with fluid. Using SOLA-VOF method, the study describes visualization about simulation of the sloshing of flows and damping effect by baffle. Translation and pitching motion of the forms have been investigated The time-dependent changes of free-surface height are used for visualization subject to several conditions such as fluid height horizontal acceleration, sinusoidal motion, and viscosity. The free-surface heights were used for comparing wall-force, which is caused by sloshing of flows. Baffle was Installed to reduce the force on the wall by sloshing of flows. Damping effects was extensively expressed under the conditions such as baffle shape and position.

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Measuring and Characterizing the Apparent Thickness and its Irregularity of Fine Wire Bundle by Using a Laser Scanning Method (Laser Scanning을 이용한 극세선 집속체의 겉보기 굵기 측정과 불균제 특성)

  • Huh, Y.;Kim, J.S.;Baik, Y.N.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1573-1576
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    • 2003
  • The quality of bundles is closely related with the apparent thickness. Especially the variation of apparent thickness of bundle determines the qualify of the plane structure made or the bundle such as surface evenness, pore size, and the shape of air-gap, etc.,. This study is dealing with the development of a new measuring system of the thickness of bundle or cross-section by determining the size of the shadow of the object covered by a laser slit beam. Also the measured signal is characterized in terms of the correlogram, the irregularity in wavelength. The correlogram for the irregularity of several sample types could be represented by a sinusoidal function with exponentially decaying amplitude. Moreover, influence of the measuring speed on the signal and the characteristic differences according to the different types of bundle are investigated.

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Propagation Speed of Torsional Elastic Waves In a Cylinder with a Periodically Corrugated Outer Surface (외면이 주기적으로 울퉁불퉁한 실린더에서 비틂 탄성파의 전파속도)

  • 김진오
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.8
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    • pp.54-60
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    • 1999
  • The paper describes a theoretical study on the speed of the torsional elastic waves propagating in a circular cylinder whose outer radius varies periodically as a harmonic function of the axial coordinate. The approximate solution for the phase speed has been obtained using the perturbation technique for sinusoidal modulation of small amplitude. It is shown that the wave speed in the cylinder with a corrugated outer surface is less than that in a smooth cylinder by the square of the amplitude of the surface perturbation. This theoretical prediction agrees reasonably with an experimental observation reported earlier. It is also shown that the wave speed reduction due to the surface corrugation becomes larger for a thinner cylinder and for a bigger density of corrugation.

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Dielectric Cover effect of Rectangular Microstrip Patch Antenna on Uniaxial Substrates with Airgap (공기 갭을 갖는 일축성 매질 위에 마이크로스트립 패치 안테나의 덮개층 영향)

  • Yoon, Joong-Han;An, Gyoo-Chul;Kwak, Kyung-Sup
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.38 no.9
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    • pp.29-39
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    • 2001
  • Dielectric cover effect of rectangular microstrip patch antenna on uniaxial substrates with airgap are studied. First, we derive Dyadic Green function for selected anisotropic material by constitutive relation and then formulate integral equations of electric fields using Fourier transform in space region. Using Galerkin's moment method, we discretize the electric field integral equations into the matrix form and select sinusoidal functions as basis functions. We verify the validity of numerical results and compare the results with existing ones in showing a good agreement between them. When the dielectric cover thickness is varied, the resonant frequencies and input impedances in the variation of air gap, patch length and thickness and permittivity of superstrate are presented and analyzed.

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Vibration Analysis of 5-DOF Rotor System Supported by Two or More Ball Bearings Considering Centrifugal Force and Gyroscopic Moment of Ball (Waviness가 존재하며 볼의 원심력과 자이로스코픽 모멘트가 작용하는 볼베어링으로 지지된 5 자유도 회전계의 진동해석)

  • 정성원;장건희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.297-303
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    • 2001
  • This research presents an analytical model to characterize the ball bearing vibration due to the waviness in a rigid rotor supported by multi-row ball bearings considering centrifugal force and gyroscopic moment of ball. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. The waviness of ball and races is modeled by the superposition of sinusoidal function and it is introduced to position vectors of race curvature center to use the Hertzian contact theory in order to calculate the elastic deflection and nonlinear contact force resulting from the waviness while the rotor has translational and angular motion. They can be determined by solving the nonlinear equations of motion with five degrees of freedom by using the Runge-Kutta-Fehlberg algorithm. The accuracy of this research is validated by comparing with the results of the prior researches. It characterizes the vibration frequencies resulting from the various kinds of waviness in rolling elements, the harmonic frequencies resulting from the nonlinear load-deflection characteristics of ball bearing resulting from the waviness interaction.

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Smoothness of the Zodiacal Light and Emission from the AKARI North Ecliptic Pole Monito rObservations

  • Pyo, Jeong-Hyun;Matsumoto, Toshio;Tange, Tsutomu;Jeong, Woong-Seob;Matsuhara, Hideo;Matsuura, Shuji;Wada, Takehiko;Seo, Hyun-Jong;Hong, Seung-Soo
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.52.1-52.1
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    • 2010
  • The Japanese infrared (IR) space mission AKARI monitored the brightness in the fields very close to the north ecliptic pole (NEP) with nine wavebands in Infrared Camera (IRC), which cover the wavelength range from 2 to $24{\mu}m$. We reduced the NEP monitor observations and examined the smoothness of the sky background brightness. Our analysis shows that the background brightness is smooth over a frame of about $10'\times10'$ within about 0.1% deviation in mid-IR. Because the zodiacal light (ZL) and emission (ZE) dominate the diffuse sky brightness in the near- and mid-IR wavelengths, the background brightness varies with season through a year. We tried sinusoidal fittings to the observed NEP background brightness. The fitting analysis shows that the sine function is successful in describing the seasonal variation of the ZL and ZE within 2% deviations from the observed brightness, especially for the 15, 18, and $24{\mu}m$ bands, within 0.3%. These results will provide limits and caveats for the studies of the cosmic infrared background radiation.

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Torsional waves in fluid saturated porous layer clamped between two anisotropic media

  • Gupta, Shishir;Kundu, Santimoy;Pati, Prasenjit;Ahmed, Mostaid
    • Geomechanics and Engineering
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    • v.15 no.1
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    • pp.645-657
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    • 2018
  • The paper aims to analyze the behaviour of torsional type surface waves propagating through fluid saturated inhomogeneous porous media clamped between two inhomogeneous anisotropic media. We considered three types of inhomogeneities in upper anisotropic layer which varies exponentially, quadratically and hyperbolically with depth. The anisotropic half space inhomogeneity varies linearly with depth and intermediate layer is taken as inhomogeneous fluid saturated porous media with sinusoidal variation. Following Biot, the dispersion equation has been derived in a closed form which contains Whittaker's function and its derivative, for approximate result that have been expanded asymptotically up to second term. Possible particular cases have been established which are in perfect agreement with standard results and observe that when one of the upper layer vanishes and other layer is homogeneous isotropic over a homogeneous half space, the velocity of torsional type surface waves coincides with that of classical Love type wave. Comparative study has been made to identify the effects of various dimensionless parameters viz. inhomogeneity parameters, anisotropy parameters, porosity parameter, and initial stress parameters on the torsional wave propagation by means of graphs using MATLAB. The study has its own relevance in connection with the propagation of seismic waves in the earth where fluid saturated poroelastic layer is present.

Flow Near a Rotating Disk with Surface Roughness (표면조도를 갖는 회전판 주위의 유동)

  • Park, Jun-Sang;Yoon, Myung-Sup;Hyun, Jae-Min
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.634-639
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    • 2003
  • It has been studied the flow near a rotating disk with surface topography. The system Ekman number is assumed very small, i.e., $E[{\equiv}\frac{\nu}{{\Omega}^{\ast}L^{\ast2}}]<<1$ in which $L^{\ast}$ denotes a disk radius, ${\nu}$ kinematic viscosity of the fluid and ${\Omega}^{\ast}$ angular velocity of the basic state. Disk surface has a sinusoidal topographic variation along radial coordinate, i.e., $z={\delta}cos(2{\pi}{\omega}r)$, where ${\delta}$ and ${\omega}$ are, respectively, nondimensional amplitude and wave number of the disk surface. Analytic solutions, being useful over the parametric ranges of ${\delta}{\sim}O$( $E^{1/2}$ ) and ${\omega}{\leq}O$ ( $E^{1/2}$ ), are secured in a series-function form of Fourier-Bessel type. An asymptotic behavior, when $E{\rightarrow}0$, is clarified as : for a disk with surface roughness, in contrast to the case of a flat disk, the azimuthal velocity increases in magnitude, together with the thickening boundary layer. The radial velocity, however, decreases in magnitude as the amplitude of surface waviness increases. Consequently, the overall Ekman pumping at the edge of the boundary layer remains unchanged, maintaining the constant value equal to that of the flat disk.

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Phase Angle Control in Resonant Inverters with Pulse Phase Modulation

  • Ye, Zhongming;Jain, Praveen;Sen, Paresh
    • Journal of Power Electronics
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    • v.8 no.4
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    • pp.332-344
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    • 2008
  • High frequency AC (HFAC) power distribution systems delivering power through a high frequency AC link with sinusoidal voltage have the advantages of simple structure and high efficiency. In a multiple module system, where multiple resonant inverters are paralleled to the high frequency AC bus through connection inductors, it is necessary for the output voltage phase angles of the inverters be controlled so that the circulating current among the inverters be minimized. However, the phase angle of the resonant inverters output voltage can not be controlled with conventional phase shift modulation or pulse width modulation. The phase angle is a function of both the phase of the gating signals and the impedance of the resonant tank. In this paper, we proposed a pulse phase modulation (PPM) concept for the resonant inverters, so that the phase angle of the output voltage can be regulated. The PPM can be used to minimize the circulating current between the resonant inverters. The mechanisms of the phase angle control and the PPM were explained. The small signal model of a PPM controlled half-bridge resonant inverter was analyzed. The concept was verified in a half bridge resonant inverter with a series-parallel resonant tank. An HFAC power distribution system with two resonant inverters connected in parallel to a 500kHz, 28V AC bus was presented to demonstrate the applicability of the concept in a high frequency power distribution system.

A Filtered-X LMS Algorithm by New Error Path Identification Method for Adaptive Active Noise Control (적응 능동소음제어를 위한 오차경로 인식 방법을 통한 filtered-X LMS 알고리듬)

  • 권기룡;송규익;김덕규;이건일
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.8
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    • pp.1528-1535
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    • 1994
  • In this paper, a filtered-X LMS algorithm by new error path identification method is proposed for active noise control system. The proposed algorithm identifies accurately the error path transfer function using three microphones and the control of error signal through double loop scheme with on-line. In the computer simulation using the sinusoidal and the practical duct noise, the proposed algorithm reduces noise level about 29.1dB and 10.4dB, respectively. We can observe the improvement of about 0.5dB and 2.5dB in noise level compared with that obtained using the filtered-X LMS algorithm of Eriksson model.

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