• Title/Summary/Keyword: harmonic function

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Vibration of Liquid-filled Cylindrical Storage Tank with an Annular Plate Cover (환원판 덮개를 갖는 원통형 연료탱크의 진동해석)

  • 김영완
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.10
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    • pp.751-759
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    • 2003
  • The theoretical method is developed to investigate the vibration characteristics of the sloshing and bulging mode for the circular cylindrical storage tank with an annular plate on free surface. The cylindrical tank is filled with an inviscid and incompressible liquid. The liquid domain is limited by a rigid cylindrical surface and a rigid flat bottom. As the effect of free surface waves Is taken into account in the analysis, the bulging and sloshing modes are studied. The solution for the velocity potential of liquid movement is assumed as a suitable harmonic function that satisfies Laplace equation and the relevant boundary conditions. The Rayleigh-Ritz method is used to derive the frequency equation of the cylindrical tank. The effect of Inner-to-outer radius ratio and thickness of annular plate and liquid volume on vibration characteristics of storage tank is studied. The finite element analysis is performed to demonstrate the validity of present theoretical method.

Vibration mitigation of composite laminated satellite solar panels using distributed piezoelectric patches

  • Foda, M.A.;Alsaif, K.A.
    • Smart Structures and Systems
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    • v.10 no.2
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    • pp.111-130
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    • 2012
  • Satellites with flexible lightweight solar panels are sensitive to vibration that is caused by internal actuators such as reaction or momentum wheels which are used to control the attitude of the satellite. Any infinitesimal amount of unbalance in the reaction wheels rotors will impose a harmonic excitation which may interact with the solar panels structure. Therefore, quenching the solar panel's vibration is of a practical importance. In the present work, the panels are modeled as laminated composite beam using first-order shear deformation laminated plate theory which accounts for rotational inertia as well as shear deformation effects. The vibration suppression is achieved by bonding patches of piezoelectric material with suitable dimensions at selected locations along the panel. These patches are actuated by driving control voltages. The governing equations for the system are formulated and the dynamic Green's functions are used to present an exact yet simple solution for the problem. A guide lines is proposed for determining the values of the driving voltage in order to suppress the induced vibration.

Torsional Elastic Waves Propagating in a Cylinder with a Periodically Corrugated Outer Surface (주기적으로 울퉁불퉁한 실린더에서 전파하는 비틂 탄성파)

  • Kim Jin Oh
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.303-306
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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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Incoherent imaging method for high-contrast cylindrical cavity by using frequency-averaged electric field intensity pttern (주파수평균된 전계전력패턴을 사용한 high-contrast 원기둥 공동의 incoherent 영상법)

  • 강진섭;라정웅
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.35D no.2
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    • pp.1-12
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    • 1998
  • In this paper, an incoherent imaging of a high-contrast cylindrical cavity illuminated by the time-harmonic cylindrical wave is obtained ia the back-projections of he incoherent intensity patterns, which si acquired by averaging out the multi-frequency intensities of the total electric field scattered from this object in the cross-borehole measurement configuration. Multi-freuqncy effect is shown numerically and is intepreted analytically by the mutual coherence function defined in the is frequency domain. This imaging method is validated by imaging high-contrast cylindrical cavidities and the conditions to get better image are investigated.

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Enhanced spontaneous emissions from suprathermal populations in Kappa distributed plasmas

  • Kim, Sunjung
    • The Bulletin of The Korean Astronomical Society
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    • v.43 no.1
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    • pp.56.3-56.3
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    • 2018
  • The present study formulates the theory of spontaneously emitted electromagnetic fluctuations in magnetized plasmas containing particles with an anisotropic suparthermal (bi-Kappa) velocity distribution function. The formalism is general applying for an arbitrary wave vector orientation and wave polarization, and for any wave-frequency range. As specific applications, the high-frequency electromagnetic fluctuations emitted in the upper-hybrid and multiple harmonic electron cyclotron frequency range are evaluated. The fluctuations for low-frequency are also applied, which include the kinetic $Alfv\acute{e}n$, fast magnetosonic/whistler, kinetic slow mode, ion Bernstein cyclotron modes, and higher-order modes. The model predictions are confirmed by a comparison with particle-in-cell simulations. The study describes how energetic particles described by kappa velocity distribution functions influence the spectrum of high and low frequency fluctuations in magnetized plasmas. The new formalism provides quantitative analysis of naturally occurring electromagnetic fluctuations, and contribute to an understanding of the electromagnetic fluctuations observed in space plasmas, where kappa-distributed particles are ubiquitous.

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Optimal Design of an In-Wheel Permanent Magnet Synchronous Motor Using a Design of Experiment and Kriging Model (크리깅 기법을 이용한 휠인 영구자석 동기전동기의 최적 설계)

  • Jang, Eun-Young;Hwang, Kyu-Yun;Rhyu, Se-Hyun;Kwon, Byung-Il
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.852-853
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    • 2008
  • This paper proposes an optimal design method for the shape optimization of the permanent magnets (PM) of an in-wheel permanent magnet synchronous motor (PMSM) to reduce the cogging torque considering a total harmonic distortion (THD) and a root mean square (RMS) value of back-EMF. In this method, the Kriging model based on a design of experiment (DOE) is applied to interpolate the objective function in the spaces of design parameters. The optimal design method for the PM of an in-wheel PMSM has to consider multi-variable and multi-objective functions. The developed design method is applied to the optimization for the PM of an in-wheel PMSM.

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Filter Design Method for an Inverter System (인버터 시스템을 위한 필터설계 방법)

  • 오진석
    • Journal of the Korean Society of Safety
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    • v.12 no.4
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    • pp.63-69
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    • 1997
  • This paper presents a design method for a filter application in a parts-of FA(Factory Automation). Normal equations for ripple voltage and current are derived in terms of dimensionless quantities, and these equations can be used directly to evaluate the values of LC-filter components, taking into consideration the effect of the ripple components on the rms value of the PWM-generated ripple components. Using describing function technique, design equations of the filter are derived. The data needed for the filter evaluation are the amplitude of current ripple and the frequency of square pulses delivered by the HE(Harmonic Elimination) inverter algorithm. Experimental results show that the design of the filter can be based on the method proposed and that the filter can provide a significant reduction of ripple components.

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A BIFURCATION ANALYSIS FOR RADIALLY SYMMETRIC ENERGY MINIMIZING MAPS ON ANNULUS

  • Chi, Dong-Pyo;Park, Gie-Hyun
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.355-359
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    • 1994
  • It would be interesting to know if energy minimizing harmonic maps between manifolds have symmetric properties when the manifolds under consideration have some. In this paper, we consider among others radial symmetry. A radially symmetric manifold M of dimension m is the one with a point, called a pole, and an O(m) action as an isometric rotation with respect to the pole, or more precisely a radially symmetric manifold M has a coordinate on which the metric is of the form $ds_{M}$$^2$ = d$r^2$ + m(r)$^2$d$\theta^2$ for some function m(r) depending only on r. Of course m(0) = 0, m'(0) = 1, and when m(r) = r, (M, $ds_{ M}$/$^2$) is the Euclidean space $R^2$.(omitted)

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Study on Transient Temperature Distribution in Annular Fin of Uniform Thickness (均一두께 의 원통핀 에서 過渡溫度 分布 에 관한 硏究)

  • 손병진;박희용;이흥주
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.6 no.3
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    • pp.247-255
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    • 1982
  • The heat diffusion equation for an annular fin is analyzed by Laplace transformation. The fin has a uniform thickness, with its end insulated, and three different temperature profiles at the base such as step change, harmonic and exponential functions. The exact solutions for the temperature and heat flux of the fins are obtained with the infinite series. The series solutions converge rapidly for large values of dimensionless time, but slowly for small values. Therefore some approximate solutions are presented here to fine the temperature distribution and heat flux for small values of dimensionless time. Furthermore a simple approximate heat flux, .OMEGA.=1.13c.tau.$^{1}$2/ is found in the range of .tau. .leg. o.1/c for the exponential function at the base.

A HARMONIC-FREE CURRENT-LINK AC TO AC POWER SUPPLY: DYNAMIC ANALYSIS AND DESIGN

  • Karshenas, Hamid R.;Dewan, S.B.
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.182-187
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    • 1998
  • In this paper, the dynamic analysis and design of an AC to AC power supply with DC current link is presented. Despite many advantages of such a structure, its application in fixed frequency power supplies has received very little attention in the literature. Different issues related to dynamic analysis of the proposed system are considered. These include a simple averaging technique for modeling switching function generators, the concept of Internal Model Controllers, and necessary condition to avoid multiple crossing in ramp comparison methods. Theoretical and experimental results obtained from a DSP-based laboratory type setup are presented.

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