Vibration analysis of functionally graded tapered rotor shaft system

Elhannani, Abdelhak; Refassi, Kaddour; Elmeiche, Abbes; Bouamama, Mohamed

doi:10.2478/mme-2019-0032

Cited by 5 publications

(4 citation statements)

References 14 publications

(13 reference statements)

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“…Due to the wide application of FGM several studies have been conducted on the mechanical and thermal behavior of FGMs [2][3][4][5][6][7][8][9][10][11][12]. Detailed theoretical and experimental studies have been carried out and published, on the mechanics of rupture [13][14][15], the distribution of thermal stresses [16][17][18][19][20][21][22][23][24], the treatment [25][26][27], etc.…”

Section: Introductionmentioning

confidence: 99%

Exact Solution for Free Vibration Analysis of FGM Beams

Bouamama¹,

Elmeiche²,

Elhennani³

et al. 2020

RCMA

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This study relates the exact solution for free-vibration analysis of beams in material gradient (FGMs) subjected to the different conditions of support using the Euler Bernoulli theory (CBT). It is assumed that the material properties continuously change across the thickness of the beam according to the exponential function (E-FGM). The equations of motion are obtained by applying the principle of virtual works on beams and fundamental frequencies are found by solving the equations governing the eigenvalue problems. Numerical results are presented to describe the influence of the material on the fundamental frequencies of the beam for different state boundaries.

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Section: Introductionmentioning

confidence: 99%

Exact Solution for Free Vibration Analysis of FGM Beams

Bouamama¹,

Elmeiche²,

Elhennani³

et al. 2020

RCMA

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“…Spinning shafts are widely used in engineering equipment such as aero engine rotors, oil drill pipes, steam turbine rotors, and other industrial machines. As a result of extensive engineering applications, flexural vibration and instability have been studied by many researchers (Behzad and Bastami, 2004;Dimentberg, 2005;Hosseini et al, 2014;Zhu and Chung, 2015;Aouadi and Lakrad, 2018;Arvin, 2018;Gayen et al, 2018;Eftekhari et al, 2018Eftekhari et al, , 2021Elhannani et al, 2019;Saeed, 2019;Zhang et al, 2020;Li et al, 2021;Soheili and Abachizadeh, 2022). For example, Shaw and Shaw (1989) considered the effects of large transverse displacements and external sources of dissipation and investigated the instability and bifurcations of a rotating flexible shaft.…”

Section: Introductionmentioning

confidence: 99%

Vibration and stability analysis of a spinning shaft with arbitrary boundaries subjected to partial load

Wang

Feng

Xie

et al. 2023

Journal of Vibration and Control

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This paper deals with the flexural vibration and dynamic stability of a spinning shaft subjected to partial load. Based on the theorem of moment of momentum and the theorem of motion of center of mass, the governing equation of motion for the spinning shaft system is obtained. Four kinds of boundary conditions including pinned-pinned, clamped-clamped, free-free, and elastic supports are considered. The exact whirl frequency equation is derived analytically for different boundary conditions. The obtained model is confirmed by comparing with the results reported in the available literature, and excellent agreement is presented. A numerical investigation is carried out to examine the effects of support stiffness, mass ratio, eccentric distance, and slenderness ratio on the whirl characteristics and stability of the system in terms of the obtained model. The results show that the whirl frequency and critical spinning speed of the system are dependent on these parameters, and the stability is mainly governed by the mass ratio and eccentric distance.

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“…Since the applications of these new materials (FGM) continue to develop. Due to the wide application of FGM, Several studies have been conducted on the mechanical and thermal behavior of FGM [2][3][4][5][6][7][8][9]; they studied the thermal effects on the vibration behavior of the Euler Bernoulli beam with an FGM operating gradient with temperature-dependent porosity.…”

Section: Introductionmentioning

confidence: 99%

Forced Vibration Analysis of Functionally Graded Beams Carrying Moving Harmonic Loads under Random Boundary Conditions

Elmeiche¹,

Bouamama²,

Elhannani³

2020

MMEP

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This paper introduces forced vibration analysis of functionally graded materials (FGMs) beams subjected to moving harmonic loads in different physical and geometric states, under random boundary conditions. A mathematical model was developed based on a new refined logarithmic shear deformation theory (LSBT), used the Hamilton principle combined with the introduction of weak forms into the dynamic analysis, while including rotational inertia. The raster force is designed by the Dirac-delta function expressing moving harmonic loads. The Rayleigh-Ritz solution is used to separate system variables from equations with general boundary conditions. The fundamental frequencies of free vibration analysis are determined by solving the system of equations governing the eigenvalue problems and the modal responses of forced vibration behavior are also solved numerically using Newmark's temporal integration method. The numerical results presented make it possible to clearly appreciate the contribution of this theoretical development by examining in detail the influence of several parameters on the Dynamic Amplification Factor (DAF) of the FGMs beams.

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Vibration analysis of functionally graded tapered rotor shaft system

Cited by 5 publications

References 14 publications

Exact Solution for Free Vibration Analysis of FGM Beams

Exact Solution for Free Vibration Analysis of FGM Beams

Vibration and stability analysis of a spinning shaft with arbitrary boundaries subjected to partial load

Forced Vibration Analysis of Functionally Graded Beams Carrying Moving Harmonic Loads under Random Boundary Conditions

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