• 제목/요약/키워드: Frequency Equation

검색결과 2,003건 처리시간 0.028초

점탄성보로 보강된 평판의 진동해석 (Vibration Anatysis on plates Stffened wlth Viscoelastic Beams)

  • 최장우;정석주;정강
    • 한국안전학회지
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    • 제4권1호
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    • pp.47-58
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    • 1989
  • This paper treats the vibration analysis of a simply supported rectangular plate stiffened with viscoelastic beams. The effect of viscoelastic beams on the vibration of the plate is analyzed by using Dirac delta function and the equation of motion can be expressed only one equation. The frequency equation is obtained by applying Laplace transformation. The effect of volumes, numben and aspect ratios of beam on the frequency of the plate is analyzed.

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A multiple scales method solution for the free and forced nonlinear transverse vibrations of rectangular plates

  • Shooshtari, A.;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • 제24권5호
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    • pp.543-560
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    • 2006
  • In this paper, first, the equations of motion for a rectangular isotropic plate have been derived. This derivation is based on the Von Karmann theory and the effects of shear deformation have been considered. Introducing an Airy stress function, the equations of motion have been transformed to a nonlinear coupled equation. Using Galerkin method, this equation has been separated into position and time functions. By means of the dimensional analysis, it is shown that the orders of magnitude for nonlinear terms are small with respect to linear terms. The Multiple Scales Method has been applied to the equation of motion in the forced vibration and free vibration cases and closed-form relations for the nonlinear natural frequencies, displacement and frequency response of the plate have been derived. The obtained results in comparison with numerical methods are in good agreements. Using the obtained relation, the effects of initial displacement, thickness and dimensions of the plate on the nonlinear natural frequencies and displacements have been investigated. These results are valid for a special range of the ratio of thickness to dimensions of the plate, which is a characteristic of the Multiple Scales Method. In the forced vibration case, the frequency response equation for the primary resonance condition is calculated and the effects of various parameters on the frequency response of system have been studied.

다수의 층상균열이 내재하는 보의 진동해석 (Vibration Analysis of a Beam Having n Through-the-width Splits)

  • 이명훈;신영재;김재호;황정기
    • 한국소음진동공학회논문집
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    • 제12권5호
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    • pp.330-337
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    • 2002
  • A frequency equation of beam subjected to the axial load and having ηthrough-the-width-splits is developed. The beam comprises of beam elements that are split into the upper and the lower part, and non-split beam elements. Equations of motion of each beam element are non-dimensionalized with respect to length. The frequency equation of beam is derived from that of each beam element, which satisfies the displacement of the longitudinal and transverse vibration and the boundary conditions between the beam elements. Numerical simulation and experimental work for the beam having several split beam elements are carried out to demonstrate the analytical development and its validity. The experimental results are in good agreement with those of the present frequency equation. The relationships between the split beam width and natural frequencies, and also the relationships between number of split and natural frequencies, in case that the total beam split length is same. are discussed.

스파크 점화기관의 연소실 형상에 따른 공진현상 해석에 관한 연구 (A Study on the Pressure Resonance with Combustion Chamber Geometry for a Spark Ignition Engine)

  • 박경석;장석형
    • 대한기계학회논문집B
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    • 제25권12호
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    • pp.1905-1910
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    • 2001
  • Pressure resonance frequency that is caused in the combustion chamber can be interpreted by acoustic analysis. Until now the pressure resonance has been assumed and calculated to a disc type combustion chamber that neglected the combustion chamber height because the knock occurs near the TDC(top dead center). In this research FEM(finite element method) has been used to calculate the pressure resonance frequency inside the experimental engine combustion. The error of the resonance frequency obtained by FEM has decreased about 50% compared to the calculation of Draper's equation. Due to the asymmetry in the shape of the combustion chamber that was neglected in Draper's equation we could find out that a new resonance frequency could be generated. To match the experimental results, the speed of sound that satisfies Draper's equation is selected 13% higher than the value for pent-roof type combustion chamber.

고주파수 영역의 정확도 높은 RF 부성저항 회로 분석 (Accurate Equation Analysis for RF Negative Resistance circuit at High Frequency Operation Range)

  • 윤은승;홍종필
    • 전자공학회논문지
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    • 제52권4호
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    • pp.88-95
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    • 2015
  • 본 논문에서는 부성저항을 생성하는 회로로 알려진 RFNR 회로에 대한 새로운 분석을 소개한다. 새로운 분석에서는 RFNR 회로에 대한 수식분석의 정확성을 높이기 위해 트랜지스터의 게이트 저항과 소스 커패시턴스에 의한 영향을 고려하였다. 기존의 분석에서는 트랜지스터의 소스를 통하여 수식을 분석하였지만 제안된 수식에서는 회로의 공진부인 트랜지스터의 게이트를 통하여 회로를 분석했다. 그 결과, 제안하는 분석은 고주파수에서 기존의 분석보다 정확도를 향상시킬 수 있었다. 본 논문에서는 시뮬레이션을 통해 고주파수에서 분석의 정확도를 검증하였다.

L-형 절곡판의 고유진동수 해석 (Natural Frequency of L-type Folded Plate)

  • 이길우;정강
    • 한국정밀공학회지
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    • 제6권3호
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    • pp.100-108
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    • 1989
  • The frequency equation and numerical process of natural frequencies for several boundary conditions of L-type folded plate given to the different thickness and lenth are derived by using Rayleigh-Ritz method in this study. Those natural frequencies are attaind by choosing the proper eigenfunction for boundary conditions of x-direction and y-direfction beams, by considering the convergence of numerical results.

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연속법에 의한 판구조 고유진동수의 민감도 해석 (Eigenvalue design sensivity analysis of structure using continuum method)

  • 이재환;장강석;신민용
    • 한국해양공학회지
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    • 제11권1호
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    • pp.3-9
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    • 1997
  • In this paper, design sensivity of plate natural frequency is computed for thickness design variables. Once the variational equation is derived from Lagrange quation using the virtual displacement, governing energy bilinear form is obtained and sensivity equation is formulated through the first variation. Natural frequency is obtained using the commercial FEM code and the accuracy of sensivity is verified by finite difference. The accuracy of natural frequency and sensivity improves for the fine mesh model.

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합성데크 플레이트 바닥구조의 단면환산 단순화를 통한 고유진동수 예측식의 보정에 관한 연구 (A Study on Modifacation of a Prediction Equation for the Natural Frequency of a Composite Deck Floor System through the Simplification of a section Transformation)

  • 임지훈;박진영;홍원기;김희철
    • 한국강구조학회 논문집
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    • 제14권4호
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    • pp.549-556
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    • 2002
  • 바닥구조의 진동을 평가하는데 있어 기존의 고유진동수 예측식에 의한 방법이 사용되어지고 있다. 그러나, 이러한 예측식들은 재료에 따른 구분이 없기 때문에 실제와느나 다른 결과를 보이게 된다. 또한, 합성데크 플레이트 슬래브의 경우, 고유진동수를 예측하기 위해 슬래브의 단면을 환산해야 하는데, 각 데크 플레이트의 특성상 그 형태가 상이함으로 인하여 많은 어려움을 느끼게 된다. 따라서, 본 논문에서는 슬래브의 단면을 환산하기 위한 새로운 단순화된 방법을 제시하였다. 그리고, 실제 측정값과 가장 오차율이 적은 "LRFD"에 제안된 고유진동수 산출식을 보정하여 기존 예측시에 비해 약 14.3%의 오차율을 개선하는 새로운 예측보정식을 제안하고, 이에 대한 일반적인 적용가능성을 검증하였다.

유압관로에서 맥동유동 특성에 관한 연구 (The Characteristics of Pulsating Flow in a Hydraulic Pipe)

  • 모양우;유영태;김지화
    • 설비공학논문집
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    • 제13권7호
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    • pp.653-665
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    • 2001
  • The characteristics of the pulsating flow in a hydraulic pipe have been investigated. It is necessary to study the power control of the power transmission system in the landing gear system of aircraft and the design of robots. In this system, the power transmission pipeline is composed of a hydraulic system, and the operating flow is unsteady flow. The wave equation varying with frequency is analyzed in order to investigate the characteristics of unsteady flow in such a pipe. This wave equation involves the propagation coefficient in terns of frequency and viscosity. The theoretical result of this wave equation are compared with experimental result. Each wave equation, varying with the propagation coefficient, is analyzed theoretically. then, a sinusoidal wave generator is built in order to make better sinusoidal waves, and a rectifier is built to eliminate the noise from the hydraulic pump. The theoretical results of the wave equation in the flow of viscous fluid agree well with experimental results.

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시트와 바닥 진동의 위상차가 안락성에 미치는 영향을 평가하기 위한 수식의 제안 (Proposal of an Equation for the Evaluation of Discomfort of a Seated Human Body Due to the Differential Vertical Vibration at the Seat and the Floor)

  • 장한기
    • 한국소음진동공학회논문집
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    • 제12권8호
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    • pp.626-631
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    • 2002
  • A modified equation for the evaluation of discomfort of a seated human body exposed to differential vibration at the seat and the floor was proposed in this paper. Through the review and analysis of the preceding studies, effect of phase difference between the seat and the floor vibration on discomfort were quantitatively identified. The phase effect was shown to be governed by not only phase difference between the two vibrations but both their frequency and the magnitude, which means the present equation for the evaluation of perceptual amount of vibration provided by ISO 2631-1 should be modified. The proposed equation was developed such that the correction function was multiplied to the present equation. The correction function consisted of three parts, each of them represented the effect by phase difference, frequency and vibration magnitude on discomfort respectively.