• Title/Summary/Keyword: Natural Vibration analysis

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Vibration analysis of honeycomb sandwich composites filled with polyurethane foam by Taguchi Method

  • Aydin, Muhammet R.;Gundogdu, Omer
    • Steel and Composite Structures
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    • v.28 no.4
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    • pp.461-470
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    • 2018
  • In this study, the effect of polyurethane foam filler, in addition to surface layer thickness and core material thickness, on vibration characteristics of sandwich structures was investigated. The manufacturing process was carried out according to the Taguchi method. The natural frequencies and damping ratios of the produced samples were determined experimentally for fixed-free boundary conditions. In addition, solid models were developed for test samples and their finite element analyses were performed with $ANSYS^{(R)}$ to obtain their natural frequencies and mode shapes. An acceptably good agreement was found with the comparison of experimental results with the numerically obtained ones. The most effective parameters on the vibration characteristics of the sandwich structure were determined by the Taguchi method.

3-Dimensional Vibration Measurement and Analysis of King Song-Dok Bell (성덕대왕 신종의 3차원 진동신호 측정 및 분석 결과)

  • Kim, Yang-Hann;Park, Yon-Kyu;Kim, Young-Key
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.6
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    • pp.41-47
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    • 1997
  • Beating phenomenon which is generated by two closely located natural frequencies is one of research tenet for King Song-Dok bell. In this paper, we investigate the vibration shape of these natural frequencies using very extensive experimental data. Vibration signals are sampled at 108 points around the bell using accelerometers. Measured signals are anlayzed in time and frequency domain. Twelve natural shapes under 800Hz are plotted.

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Effect of Axial Loads on Natural Frequencies of Timoshenko Beam (축하중이 티모센코 보의 고유진동수에 미치는 영향)

  • Koo, Kyo-Nam
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.6
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    • pp.580-586
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    • 2011
  • This paper addresses the effect of transverse shear deformation and rotary inertia on the natural frequency of beams under axial loads. It has been reported in the author's paper using a finite element analysis that the Timoshenko effect in a rotating disk deceases and then increases again with increasing rotation speed. To validate the phenomenon, the simply-supported beams under uniform tension are selected in this study since they have exact solutions in vibration problem. The results show that the axial tension in beams would not make the Timoshenko effect decrease monotonically but could make the effect increase again unlike the results reported in the other studies for beams.

A Study of Vibration Characteristic Analysis of Beams with Laminar Tear (층상균열이 있는 보의 진동특성 해석)

  • Han, Byoung-Kee;Lee, Sung-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.1
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    • pp.68-78
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    • 1996
  • A study of the natural vibraion of Timoshenko beam with a laminar tear is presented. An analytic model, based on the transverse and longitudinal vibration of beams is employed to determine the natural frequencies. A specific example are given to show the effects of rotary inertia, and shear deformation on the natural frequencies of the beam with a laminar tear. the variations of matural frequencies of beam with the changes of size and location of laminar tear are plotted for several thickness ratio.

Dynamic Stability Analysis of a Rotating Blade Considering Gravity Effect (중력의 영향이 고려된 회전 블레이드의 동적 안정성 해석)

  • Jung, Kang-Il;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.11
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    • pp.1052-1057
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    • 2010
  • Dynamic stability of rotating blade considering gravity effect is investigated in this paper. Equations of motion for the beam is derived by employing hybrid deformation variable method and transformed into dimensionless form. The present modeling method is verified by RecurDyn. Stability diagrams are presented to show the influence of the configuration of the beam and angular velocity on the dynamic stability by applying Floquet's theory. Since the natural frequencies are varied when the blade has rotating motion, it is found that relatively large unstable regions exist approximately 1.1 times as high as the first bending natural frequency and half of the sum of first and second bending natural frequency.

Free Vibration Analysis of Curved Beams with Thin-Walled Cross-Section (두께가 얇은 단면을 갖는 곡선보의 자유진동 해석)

  • 이병구;박광규;오상진
    • Journal of KSNVE
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    • v.9 no.6
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    • pp.1193-1199
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    • 1999
  • This paper deals with the free vibrations of circular curved beams with thin-walled cross-section. The differential equation for the coupled flexural-torsional vibrations of such beams with warping is solved numerically to obtain natural frequencies and mode shapes. The Runge-Kutta and determinant search methods, respectively, are used to solve the governing differential equation and to compute the eigenvalues. The lowest three natural frequencies and corresponding mode shapes are calculated for the thin-walled horizontally curved beams with hinged-hinged, hinged-clamped, and clamped-clamped end constraints. A wide range of opening angle of beam, warping parameter, and two different values of slenderness ratios are considered. Numerical results are compared with existing exact and numerical solutions by other methods.

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Vibration Analysis of Rotating Cantilever Beams Considering Concentrated Mass Effect (집중방향의 영향을 고려한 회전 외팔보의 진동해석)

  • Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.8
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    • pp.2516-2523
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    • 1996
  • The equations of motion for rotating contilever beams with a concentrated mass loated in an arbitrary position are derived. For the modeling of the concentrated mass the Dirac delta function is used for the mass density function. Parametric studies are performed with five dimensionless variables ; natural frequencies, angular velocity, hub radius, concentrated mass, and the mass location. The concentrated mass, whereverit may locate, lowers the natural frequencies of a stationaly beam. However, when the beam rotates, the natural frequencies(if they increase or decrease) are dictated by the location of the concentrated mass.

Natural Frequency Analysis of an Extensible Curved Pipe Conveying Fluid (유체가 흐르는 인장 가능한 곡선관의 고유진동수 해석)

  • Jung, Du-Han;Chung, Jin-Tai
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.792-795
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    • 2005
  • The vibration of a curved pipe conveying fluid is studied when the pipe is clamped at both ends. To consider the nonlinearity, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bemoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived. To investigate the dynamic characteristics of the system the discretized equations of motion are derived from the Galerkin method. The natural frequencies varying with the flow velocity are computed. From these results, we should consider the nonlinearity to analyze dynamics of a curved pipe conveying fluid more precisely.

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Higher order free vibration of sandwich curved beams with a functionally graded core

  • Fard, K. Malekzadeh
    • Structural Engineering and Mechanics
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    • v.49 no.5
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    • pp.537-554
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    • 2014
  • In this paper, free vibration of a sandwich curved beam with a functionally graded (FG) core was investigated. Closed-form formulations of two-dimensional (2D) refined higher order beam theory (RHOBT) without neglecting the amount of z/R was derived and used. The present RHOBT analysis incorporated a trapezoidal shape factor that arose due to the fact that stresses through the beam thickness were integrated over a curved surface. The solutions presented herein were compared with the available numerical and analytical solutions in the related literature and excellent agreement was obtained. Effects of some dimensionless parameters on the structural response were investigated to show their effects on fundamental natural frequency of the curved beam. In all the cases, variations of the material constant number were calculated and presented. Effect of changing ratio of core to beam thickness on the fundamental natural frequency depended on the amount of the material constant number.

Vibration analysis of a pretwisted rotating blade with a concentrated mass (집중질량과 초기 비틀림각을 갖는 회전블레이드의 진동해석)

  • Kwak, Joo-Young;Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.190-197
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    • 1998
  • Equations of motions of a pretwisted rotating blade with a concentrated mass in an arbitrary position are derived. The flapwise and chordwise equations are coupled to each other due to the pretwist angle of the blade. As the angular speed, hub radius ratio, pretwist angle and concentrated mass vary, the vibration characteristics of the blade change. It is found that eigenvalue lociveering phenomena occur between two closing loci due to the pretwist angle. The effect of the pretwist angle on the critical angular speed and location of the concentrated mass on the natural frequencies are also investigated.