• Title/Summary/Keyword: circular frequency

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Free Vibration Analysis of Circular Arches with Rectangular Hollow Section (구형 중공단면을 갖는 원호아치의 자유진동 해석)

  • Lee, Tae-Eun;Lee, Byoung-Koo;Park, Kwang-Kyou;Yoon, Hee-Min
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.50-53
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    • 2008
  • The differential equations governing free vibrations of the elastic arches with rectangular hollow section are derived in polar coordinates, in which the effect of rotatory inertia is included. Natural frequencies is computed numerically for circular arches with both clamped ends and both hinged ends. The lowest four natural frequency parameters are reported, with the rotatory inertia, as functions of three non-dimensional system parameters: the breadth ratio, the thickness ratio and the shape ratio.

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Analysis of Leaky Modes on Circular Dielectric Rods using Davidenkos Method

  • Kim, Ki-Young;Tae, Heung-Sik;Lee, Jeong-Hae
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2002.11a
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    • pp.356-360
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    • 2002
  • Leaky modes on a circular dielectric rod are investigated from the precisely determined normalized complex propagation constants using Davidenko's complex root finding technique. Below the cutoff frequency of the guided mode, distinct frequency regions that have unique properties are observed, such as nonphysical region, antenna mode region, reactive mode region, and spectral gap region. The effects of tro design parameters, dielectric constants and the radius of the rod, to the leaky mode characteristics are also considered.

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Stress and Vibration Analysis with respect to the change of the Shape of Screw Blade and the Hole for Centrifuge (원심분리기용 스크류의 블레이드 및 원공형상변화에 따른 응력 및 진동해석)

  • 한근조;이성욱;심재준;한동섭;안찬우;서용권;김태형
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.9
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    • pp.118-125
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    • 2003
  • In this study, we carried out the finite element analysis for the screw of centrifuge that is the weakest part of the centrifuge for sewage management. Centrifugal force caused by rotation with velocity of 4000rpm was applied at the screw. Structural analysis was done with respect to the change of the ratio of blade pitch($R_P$), shaft diameter($R_D$) and extended hole($R_E$). When the area of circular hole is equal to that of extended holes, maximum equivalent stresses in the screw with circular and extended circular hole were compared. And then natural frequency analysis was executed for the same model. Three mode shapes were used to explain the vibration characteristics of each screw. Convergence study was accomplished fur more accurate results.

Responses of Nonlinear Asymmetric Forced Vibrations of a Circular Plate (원판의 비선형 비대칭 강제진동응답)

  • 여명환;이원경
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.4
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    • pp.65-70
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    • 2001
  • An investigation into asymmetric vibrations of a clamped circular place under a harmonic excitation is made. We examine a primary resonance. in which the frequency of excitation is near the natural frequency of an asymmetric mode of the plate. We found not only a response haying the form of standing wave but also one having the form of traveling wave, which was not observed by Sridhar, Mook and ${Nayfeh}^{(1)}$

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Free Vibrations of Tapered Circular Arches with Constant Volume (일정체적 변단면 원호형 아치의 자유진동)

  • Lee, Byoung-Koo;Lee, Tae-Eun;Yoon, Hee-Min;Choi, Jong-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.2
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    • pp.144-152
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    • 2010
  • This paper deals with free vibrations of the tapered circular arches with constant volume, whose cross sectional shape is the solid regular polygon. Volumes of the objective arches are always held constant regardless shape functions of the cross-sectional depth. The shape functions are chosen as the linear, parabolic and sinusoidal ones. Ordinary differential equations governing free vibrations of such arches are derived and solved numerically for determining the natural frequencies. In the numerical examples, hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. As the numerical results, the relationships between non-dimensional frequency parameters and various arch parameters such as rise ratio, section ratio, side number, volume ratio and taper type are reported in tables and figures.

The Input Characteristics of Elliptic Disk-Loaded Antenna with Ellipticity Ratio (임의의 타원율을 가진 타원형 디스크가 로딩된 모노폴 안테나의 입력 특성)

  • 이재욱;송명선
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2001.11a
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    • pp.119-122
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    • 2001
  • In this paper, an elliptic disk-loaded antenna having frequency shift characteristics with the same height of the simple monopole is studied. The proposed antenna is composed of an ellitptic disk with arbitrary ellipticity ratio. The eigenmode representations in each region of given structure are useful for the analysis of the canonical monopoly, circular disk-loaded monopole and circular dielectric-loaded top-hat monopole antennas using the artificical ground plane. The comparison between the elliptic and circular disk-leaded antenna is carried out. The effect of the shape of the loaded disk and the ellipticity ratio of the loaded disk on the input impedances, the return loss and frequency shift is also studied. We have computed the given structures using the CST MW Studio version 3.0. The typical blade antenna can be obtained by modifying and extending the proposed structure with the λ/4 balun removing the stray capacitances existing between the loaded disk and the ground plane.

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A Study on the Pressure Wave Propagation of Viscous Fluid Flow in a Pipe Line (관로에서 점성유체 유동의 압력파 전달에 관한 연구)

  • Kim, H.O.;Na, G.D.;Mo, Y.W.
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.835-840
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    • 2000
  • The objective of the present study is to investigate the characteristics of pressure wave propagation of viscous fluid flow in a circular pipe line. The goal of this study is to select the best frequency of each control factor of a circular pipe. We intend to approach a formalized mathematical model by a very exact and reasonable polynomial for fluid transmission lines. and we computed this mathematical model by computer. The results show that the oil viscosity decreased as the length of the circular pipe increases. and The energy of pressure wave propagation decreased as the pipe diameter decreases. The factor is that density of oil was changed resonant frequency. It has been found the viscosity characteristics is changed largely by length of hydraulic pipe and volume of cavity tank.

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Design Method of a Circularly-Polarized Antenna Using Fabry-Perot Cavity Structure

  • Ju, Jeong-Ho;Kim, Dong-Ho;Lee, Wang-Joo;Choi, Jae-Ick
    • ETRI Journal
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    • v.33 no.2
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    • pp.163-168
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    • 2011
  • A Fabry-Perot cavity (FPC) antenna producing both high-gain and circularly-polarized (CP) behavior is proposed. To increase antenna gain and obtain CP characteristics, a superstrate composed of square patches with a pair of truncated corners is placed above the linearly polarized patch antenna with an approximately half-wavelength distance from the ground plane at the operating frequency. The proposed antenna has the advantages of high gain, a simple design, and an excellent boresight axial ratio over the operating frequency bandwidth. Moreover, used in an FPC antenna, the proposed superstrate converts a linear polarization produced by a patch antenna into a circular polarization. In addition, the cavity antenna produces left-hand circular-polarization and right-hand circular-polarization when a patch antenna inside the cavity generates x-direction and y-direction polarization, respectively. The measured and simulated results verify the performance of the antenna.

Global Bifurcations and Chaos Via Breaking of KAM Tori of an Harmonically Excited Imperfect Circular Plate

  • Samoylenko, S.B.;Lee, W.K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.419-422
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    • 2005
  • Global bifurcations and chaos in modal interactions of an imperfect circular plate with one-to-one internal resonance are investigated. The case of primary resonance, in which an excitation frequency is near natural frequencies, is considered. The damping force is not included in the analysis. The renormalization-group technique for KAM tori is used to obtain the criteria for large-scale stochasticity in the system.

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An asymptotic analysis on non-linear free vibration of squarely-reticulated circular plates

  • Nie, G.H.
    • Structural Engineering and Mechanics
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    • v.8 no.6
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    • pp.547-560
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    • 1999
  • In this paper an asymptotic iteration method is adopted to analyze non-linear free vibration of reticulated circular plates composed of beam members placed in two orthogonal directions. For the resulting linear ordinary differential equations in the process of iteration, the power series with rapid convergence has been applied to obtain an analytical solution for non-linear characteristic relation between the amplitude and frequency of the structure. Numerical examples are given, and the phenomena indicating hardening of such structures have been presented for the (immovable or movable) simply-supported and clamped circular plates.