• 제목/요약/키워드: Prediction equation of vibration

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Analytical nonlocal elasticity solution and ANN approximate for free vibration response of layered carbon nanotube reinforced composite beams

  • Emrah Madenci;Saban Gulcu;Kada Draiche
    • Advances in nano research
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    • 제16권3호
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    • pp.251-263
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    • 2024
  • This article investigates the free vibration behavior of carbon nanotube reinforced composite (CNTRC) beams embedded using variational analytical methods and artificial neural networks (ANN). The material properties of layered functionally graded CNTRC (FG-CNTRC) beams are estimated using nonlocal parameters modified power-law with different types of CNT distributions through the thickness direction of the beam. Adopting Eringen's nonlocal elasticity theory to capture the small size effects, the nonlocal governing equations are derived and solved using the analytical method. And also, the problem was analyzed using the ANN method. The architecture of the proposed ANN model is 3-9-1. In the experiments, we used 112 different data to predict the natural frequency using ANN. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion as well as the boundary conditions of the beam are derived using Hamilton's principle. The classical beam theory is used to formulate a governing equation for predicting the free vibration of laminated CNTRC beams. According to the experimental results, the prediction ability of the ANN model is very good and the natural frequency can be predicted in ANN without attempting any experiments.

선체 저차 상하고유진동 감도해석 (Sensitivity Analysis of Vortical Hull Girder Vibration)

  • 조대승;김사수
    • 대한조선학회논문집
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    • 제35권3호
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    • pp.54-61
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    • 1998
  • 본 논문에서는 보유추 이론을 적용하여 초기 설계된 선체거더에 대한 상하 고유진동해석을 수행함과 동시에 설계변수 변경에 따른 고유진동수 및 고유모드의 변화율을 계산하는 감도해석방법을 활용하여 설계변경 또는 적화상태 변화시의 선체 고유진동 특성을 신속하게 예측할 수 있는 방법을 제시하였다. 이때, 이산화 해석방법은 전달행렬법을 적용하였으며, 설계변수로는 각 이산화 요소의 선체 중량, 2차원 부가수질량 및 동 3차원 수정계수, 유효굽힘강성 등으로 설정하였다. 감도해석 결과를 이용하여 중형 광석/살물운반선의 적화상태 변경시의 고유진동수를 추정한 결과는 통상적 재해석 결과와 비교하여 오차 2%이내의 매우 양호한 부합성을 나타내었다.

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Liquid boundary effect on free vibration of an annular plate coupled with a liquid

  • Kyeong-Hoon Jeong
    • Coupled systems mechanics
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    • 제12권2호
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    • pp.127-149
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    • 2023
  • A theoretical method is developed to analyze the free vibration of an elastic annular plate in contact with an ideal liquid. The displacement potential functions of the contained liquid are expressed as a combination of the Bessel functions that satisfy the Laplace equation and the liquid boundary conditions. The compatibility condition along the interface between the annular plate and the contained liquid is taken into account to consider the fluid-structure coupling. The dynamic displacement of the wet annular plate is assumed to be a combination of dry eigenfunctions, allowing for prediction of the natural frequencies using the Rayleigh-Ritz method. The study investigates the effect of radial liquid boundary conditions on the natural frequencies of the wet annular plate, considering four types of liquid bounding: outer container bounded, outer and inner bounded, inner bounded, and radially unbounded. The proposed theoretical method is validated by comparing the predicted wet natural frequencies with those obtained from finite element analysis, showing excellent accuracy. The results indicate that the radial liquid bounding effect on the natural frequencies is negligible for the axisymmetric vibrational mode, but relatively significant for the mode with one nodal diameter (n =1) and no nodal circle (m' = 0). Furthermore, the study reveals that the wet natural frequencies are the largest for the plate with an inner bounded cylinder among the radial liquid boundary cases, regardless of the vibration mode.

축류홴의 설계 변수가 홴의 성능과 소음에 미치는 영향의 수치적 연구 (A Numerical Study on the Effects of the Design Parameters upon Fan Performance and Noise)

  • 전완호;백승조;김창준;윤홍열
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 I
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    • pp.264-269
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    • 2001
  • Axial fans are widely used in household electrical appliances due to their easy usage and high flow rate for cooling capacity. At the same time, the noise generated by these fans causes one of serious problems. In order to calculate the noise of a fan, we develop the software IFD - Intranet Fans Design. With this software we can design, analysis the performance and predict the noise of fan. The prediction model, which allowed the calculation of acoustic pressure at the blade passing frequency and it's higher harmonic frequencies, has been developed by Lowson's equation. To calculate the unsteady resultant force of the blade, time-marching free-wake method is used. The objective of this study is to calculate the effects of number of blades, rotating velocity, and sweep angle on the noise of fan..

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임팩트 볼에 의한 바닥충격음 측정 및 평가 간편법 (Simplified method on measurement and evaluation of floor impact sound using impact ball)

  • 김용희;이신영;전진용
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.631-635
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    • 2006
  • In this study, simplified methods on measurement and evaluation of heavy-wight impact sound was proposed due to provide easy quality control method to construction engineers. The simplified methods include using of rubber impact ball instead of bang machine, reduced number of measuring and impact positions which is prescribed as over 4 points, using of hand-held sound level meter as a frequency analyser and prediction equation for $L_{i.Fmax.AW}$, single number rating, using $L_{Amax}$, and $L_{Lmax}$ at each frequency band. The results showed that a method of boundary driving and boundary measuring is the most similar to the current rating method.

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시변하는 간단한 유체기계의 덕트 내 음원 특성에 대한 해석적 연구 (On the in-duct acoustical source characteristics of a simplified time-varying fluid machine)

  • 이정권;장승호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 I
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    • pp.517-521
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    • 2001
  • Measurement techniques for the in-duct source characteristics of fluid machines can be classified into direct method and load method, according to whether the technique employs an external acoustic source or not. It has been known that the two methods yield different results and the load method used to come up with a negative source resistance, in spite of the fact that a very accurate prediction of radiated noise can be obtained by using any result. This paper is focused to the effect of time-varying nature of fluid machines on the output result. For this purpose, a simplified fluid machine consisting of a reservoir, a valve and a pipe is considered as representing a typical linear, periodic, time-varying system and the measurement techniques are simulated by utilizing the Hill equation and its steady-state forced response. In the load method, the source impedance turns out being dependent on the valve impedance at the calculation frequency and the valve and load impedances at other frequencies as well.

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이론적 해 및 경계요소법에 의한 2차원 흡음형 소음기의 전달 손실치 예측 비교 (A comparison of the transmission losses of two-dimensional dissipative silencers predicted by analytical method and BEM)

  • 김회전;이정권;정지훈
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.1001-1004
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    • 2002
  • Accurate prediction of the transmission loss of dissipative silencers has been considered difficult due to the ambiguity and complexity in the physical properties of sound absorbing materials. Additional difficulty lies in the fact that the analytical calculation of the propagation constant is unknown yet. In this paper. as a first step toward obtaining the Propagation constant and thus predicting the transmission loss, an approximation equation stemming from the wave analysis in the lined interior has been derived. Such an analytical solution and numerical solution using the boundary element method are compared for a two-dimensional simple dissipative silencer under the assumption of the locally reacting sound absorbent.

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비정상 점성 유동 해석에 의한 부등피치 횡류홴의 이산소음 주파수 변조 특성 예측 (Prediction of Frequency Modulation of Discrete Noise for Random Pitch Cross-Flow Fans by Unsteady Viscous Flow Computations)

  • 조용;문영준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.658-664
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    • 2002
  • Unsteady flow characteristics and associated blade tonal noise of a cross-flow fan are predicted by a computational method. The incompressible Navier-Stokes equations are time-accurately solved for obtaining the pressure fluctuations between the rotating blades and the stabilizer, and sound pressure is predicted using Curie's equation. The computed fan performance is favorably compared with experimental data, and also indicates that the performance is not significantly altered by the random pitch effect at ${\phi}>0.4$. In the present study, the narrow-band noise characteristics of three impellers with a uniform and two random Pitch (type-A and-B) blades are compared by the SPL (Sound Pressure Level) spectra, and their frequency modulation characteristics of the BPF (Blade Passing Frequency) noise are also discussed.

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비정상 점성 유동 해석에 의한 부등피치 횡류홴의 이산소음 주파수 변조 특성 예측 (Prediction of Frequency Modulation of Discrete Noise for Random Pitch Cross-Flow Fans by Unsteady Viscous Flow Computations)

  • Yong Cho;Young J. Moon
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문초록집
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    • pp.366.2-366
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    • 2002
  • Unsteady flow characteristics and associated blade tonal noise of a cross-flow fan are predicted by a computational method. The incompressible Wavier-Stokes equations are time-accurately solved for obtaining the pressure fluctuations between the rotating blades and the stabilizer, and sound pressure is predicted using Curie's equation. The computed fan performance is favorably compared with experimental data, and also indicates that the performance is not significantly altered by the random pitch effect at ø〉0.4. (omitted)

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공탄성 변형효과를 고려한 10MW급 풍력발전기 블레이드의 성능해석 (Performance Prediction a 10MW-Class Wind Turbine Blade Considering Aeroelastic Deformation Effect)

  • 김동현;김요한;류경중;김동환;김수현
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 춘계학술대회 논문집
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    • pp.657-662
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    • 2011
  • In this study, aeroelastic performance analyses have been conducted for a 10MW class wind turbine blade model Advanced computational analysis system based on computational fluid dynamics (CFD) and computational structural dynamics (CSD) has been developed in order to investigate detailed dynamic responsed of wind turbine blade Reynolds-averaged Navier-Stokes (RANS) equations with k-${\omega}$ SST turbulence model are solved for unsteady flow problems of the rotating turbine blade model. A fully implicit time marching scheme based on the Newmark direct integration method is used for computing the coupled aeroelastic governing equations of the 3D turbine blade for fluid-structure interaction (FSI) problems.

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