• Title/Summary/Keyword: free vibration frequencies

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Free Vibration of Mannequins and Car Seat System (마네킹과 자동차 시트 시스템의 진동 해석)

  • Kim, Seong-Keol;Lee, Jae-Hyung;Park, Ki-Hong;Lee, Sin-Young;Davies, Patricia;Bajaj, Anil K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1621-1626
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    • 2000
  • A simplified modeling approach for occupied car seats was demonstrated to be feasible. The model, consisting of interconnected masses, springs and dampers, was initially broken down into subsystems and experiments conducted to determine approximate values for model parameters. A short study of the effect of changing model parameters on natural frequencies, mode shapes and resonance locations in frequency response functions was given, highlighting the influence of particular model parameters on features in the mannequin's vibration response. Good agreement between experimental and simulation frequency response estimates was obtained. Future work should include optimization of parameter estimates, the inclusion of viscoelastic and nonlinear elements in addition to the linear springs and dampers, and finally extensions to a 3D model.

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Evaluation of Analytical Vibration Characteristics for Triple Cylindrical Shells Filled with Fluid (유체로 채워진 삼중 원통셸의 해석적 진동 특성 평가)

  • 지용관;이영신
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.2
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    • pp.150-160
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    • 2002
  • The free vibration characteristics of the triple cylindrical shells filled with fluid are investigated. The triple cylindrical shells are filled with compressible fluid. The boundary condition is clamped at both ends. Analytical method is developed to evaluate natural frequencies of triple cylindrical shells using Sanders' shell theory and courier series expansion by Stokes' transformation. Their results are compared with those of finite element method to verify the validation of the method developed. The modal characteristics of shells filled with fluid at region 1, 2 and 3 are evaluated.

A combined finite element-Riccati transfer matrix method for free vibration of structures

  • Xue, Huiyu
    • Structural Engineering and Mechanics
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    • v.3 no.3
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    • pp.245-253
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    • 1995
  • A combination of Riccati transfer matrix method and finite element method is proposed for obtaining vibration frequencies of structures. This method reduces the propagation of round-off errors produced in the standard transfer matrix method and finds out the values of the frequency by Newton-Raphson method. By this technique, the number of nodes required in the regular finite element method is reduced and therefore a microcomputer may be used. Besides, no plotting of the value of the determinant versus assumed frequency is necessary. As the application of this method, some numerical examples are presented to demonstrate the accuracy as well as the capability of the proposed method for the vibration of structures.

Effect of pre-magneto-electro-mechanical loads and initial curvature on the free vibration characteristics of size-dependent beam

  • Arefi, M.
    • Structural Engineering and Mechanics
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    • v.71 no.1
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    • pp.37-43
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    • 2019
  • This paper studies application of modified couple stress theory and first order shear deformation theory to magneto-electro-mechanical vibration analysis of three-layered size-dependent curved beam. The curved beam is resting on Pasternak's foundation and is subjected to mechanical, magnetic and electrical loads. Size dependency is accounted by employing a small scale parameter based on modified couple stress theory. The magneto-electro-mechanical preloads are accounted in governing equations to obtain natural frequencies in terms of initial magneto-electro-mechanical loads. The analytical approach is applied to investigate the effect of some important parameters such as opening angle, initial electric and magnetic potentials, small scale parameter, and some geometric dimensionless parameters and direct and shear parameters of elastic foundation on the magneto-electro-elastic vibration responses.

Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities

  • Al-Maliki, Ammar F.H.;Faleh, Nadhim M.;Alasadi, Abbas A.
    • Structural Monitoring and Maintenance
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    • v.6 no.2
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    • pp.147-159
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    • 2019
  • In present article, a size-dependent refined thick beam element has been established based upon nonlocal elasticity theory. Next, it is used to explore vibration response of porous metal foam nanobeams on elastic medium. The established beam element introduces ten degrees of freedom. Different porosity distributions called uniform, symmetric and asymmetric will be employed. Herein, introduced thick beam element contains shear deformations without using correction factors. Convergence and verification studies of obtained results from finite element method are also provided. The impacts of nonlocality factor, foundation factors, shear deformation, slenderness ratio, porosity kinds and porosity factor on vibration frequencies of metal foam nano-sized beams have been explored.

Analytical analysis for the forced vibration of CNT surrounding elastic medium including thermal effect using nonlocal Euler-Bernoulli theory

  • Bensattalah, Tayeb;Zidour, Mohamed;Daouadji, Tahar Hassaine
    • Advances in materials Research
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    • v.7 no.3
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    • pp.163-174
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    • 2018
  • This article studies the free and forced vibrations of the carbon nanotubes CNTs embedded in an elastic medium including thermal and dynamic load effects based on nonlocal Euler-Bernoulli beam. A Winkler type elastic foundation is employed to model the interaction of carbon nanotube and the surrounding elastic medium. Influence of all parameters such as nonlocal small-scale effects, high temperature change, Winkler modulus parameter, vibration mode and aspect ratio of short carbon nanotubes on the vibration frequency are analyzed and discussed. The non-local Euler-Bernoulli beam model predicts lower resonance frequencies. The research work reveals the significance of the small-scale coefficient, the vibrational mode number, the elastic medium and the temperature change on the non-dimensional natural frequency.

Free Vibration Analysis of Perforated Rectangular Plates Submerged in Fluid (유체에 잠긴 다공 직사각평판의 고유진동 해석)

  • 유계형;권대규;정경훈;이성철
    • Journal of the Korean Society of Safety
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    • v.18 no.1
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    • pp.19-27
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    • 2003
  • This paper presented an experimental modal analysis of clamped perforated rectangular plates submerged in water. The penetration of holes in the plates had a triangular pattern with P/D (pitch to diameter) 1.750, 2.125, 2.500, 3.000 and 3.750. The natural frequencies of the perforated plates in air were obtained by the Rayleigh-Ritz method and compared with the experimental results. Good agreement was obtained between the analytical solution and experimental result. The experimental results in water showed that the mode shapes are not sensitive to the depth of submergence. The natural frequencies were shown to decrease drastically once the perforated plates come in contact with water. However, the natural frequencies decrease with the depth of submergence until a certain depth is reached, and become the asymptotic values beyond this depth of submergence. The depth of submergence did not affect the damping ratio greatly.

Out of Plane Free Vibrations of Circular Curved Beams (원호형 곡선보의 면외 자유진동에 관한 수치해석적 연구)

  • 이병구;오상진
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.133-139
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    • 1996
  • In this paper, an approximate method is developed to obtain the natural frequencies of the out of plane vibration of circular curved beams. The governing differential equations are derived using the dynamic equilibrium equations with the Timoshenko theory, and solved numerically. The Runge-Kutta method and Regula-Falsi method are used to integrate the differential equations and to determine the natural frequencies, respectively. In numerical examples, the hinged-hinged and clamped-clamped end constraints are considered. For each case, the four lowest natural frequencies are reported as functions of four non-dimensional system parameters.

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FREE VIBRATION ANALYSIS OF PERFORATED PLATE WITH SQUARE PENETRATION PATTERN USING EQUIVALENT MATERIAL PROPERTIES

  • JHUNG, MYUNG JO;JEONG, KYEONG HOON
    • Nuclear Engineering and Technology
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    • v.47 no.4
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    • pp.500-511
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    • 2015
  • In this study, the natural frequencies of the perforated square plate with a square penetration pattern are obtained as a function of ligament efficiency using the commercial finite-element analysis code ANSYS. In addition, they are used to extract the effective modulus of elasticity under an assumption of a constant Poisson's ratio. The effective modulus of elasticity of the fully perforated square plate is applied to the modal analysis of a partially perforated square plate using a homogeneous finite-element analysis model. The natural frequencies and the corresponding mode shapes of the homogeneous model are compared with the results of the detailed finite-element analysis model of the partially perforated square plate to check the validity of the effective modulus of elasticity. In addition, the theoretical method to calculate the natural frequencies of a partially perforated square plate with fixed edges is suggested according to the Rayleigh-Ritz method.

A Study on the Free Vibration of the Helically Curved Members (나선형(螺旋形) 곡선부재(曲線部材)의 자유진동(自由振動)에 관한 연구(研究))

  • Yhim, Sung Soon;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.227-238
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    • 1988
  • The curved structures in space, such as multi-level inter-changes, ramped structures, and circular curved structures etc., are modelled as helically curved members with constant helix angle in this study. Equilibrium equations are derived, considering the geometrical properties and initial curvatures of helix. Modal equations of the simply supported helically curved members which can calculate the normalized natural frequencies are derived from these equations by assuming the modal shape function. These equations are used to calculate the normalized natural frequencies of the simply supported helically curved members and verify the distribution of the natural frequencies of them.

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