On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model

Faroughi, Shirko; Rahmani, Arash; Friswell, Michael I.

doi:10.1016/j.apm.2019.11.040

Cited by 53 publications

(14 citation statements)

References 50 publications

(61 reference statements)

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“…The dynamics of rotating structures have been investigated by numerous researchers due to their wide applications in different engineering branches. Within this context, the influence of various key factors such as temperature gradient [9,10], rotation axis direction [11], asymmetric geometry [12], rotating velocity fluctuation [13], size-dependent effects [14], and nonlinear absorbers [15] on the dynamical response of rotating systems have been extensively reported in the engineering literature.…”

Section: Introductionmentioning

confidence: 99%

Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load

Ebrahimi-Mamaghani¹,

Forooghi

Sarparast

et al. 2021

Applied Mathematical Modelling

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Section: Introductionmentioning

confidence: 99%

Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load

Ebrahimi-Mamaghani¹,

Forooghi

Sarparast

et al. 2021

Applied Mathematical Modelling

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“…Faroughi et al. 71 presented for the first time an analytical procedure to study the wave propagation in two-dimensional FG porous rotating nanobeams incorporating a general nonlocal higher-order beam model.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent free vibration and buckling analysis of sigmoid and power law functionally graded sandwich nanobeams with microstructural defects

Bensaid

Daikh

Draï

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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The investigation conducted in this paper aims to study free vibration and buckling behaviors of size-dependent functionally graded sandwich nanobeams. In order to take into account the small size effects, nonlocal elasticity theory of Eringen's is incorporated. Material properties of the functionally graded sandwich beams are supposed to change continuously through the thickness direction according to two forms of the volume fraction of constituents by power law functionally graded material and sigmoid law functionally graded material. These rules are modified to consider the effect of porosity, which covers four kinds of porosity distributions. Two types of sandwich nanobeams were provided: (a) homogeneous core and functionally graded skins and (b) functionally graded core and homogeneous skins. Third-order shear deformation theory without any shear correction factor in conjunction with Hamilton's principle is used to extract the governing equations of motions of porous functionally graded sandwich nanobeams and then solved analytically for two hinged ends. The effects of nonlocal parameter, length to thickness ratios, material graduation index, amount of porosity, porosity distribution shape, on the nondimensional frequency and critical buckling load of the functionally graded sandwich nanobeams made of porous materials are exhibited by a parametric study.

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“…Yang et al (2020a, 2020b) investigated in-plane and out-of-plane free vibrations of FG composite arches with graphene reinforcements under a step central point load. Faroughi et al (2020) studied wave propagation in 2D FG porous rotating nanobeams using a general nonlocal higher-order beam model. Abu-Alshaikh and Almbaidin (2020) used the Caputo and Caputo–Fabrizio fractional derivative models to investigate the response of the FG Euler beam under moving mass.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of thick beams with functionally graded porous layers and viscoelastic support

Akbaş

Bashiri

Assie

et al. 2020

Journal of Vibration and Control

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This study presents dynamic responses of a composite thick beam with a functionally graded porous layer under dynamic sine pulse load. The boundary conditions of the composite beam are considered as viscoelastic supports. Three layers are considered, and face sheet layers have porous functionally graded materials in which the distribution of material gradation through the graded layer is described by the power law function, and the porosity is depicted by three different distributions (i.e., symmetric distribution, X distribution, and ◊ distribution). The layered composite thick beam is modeled as a two-dimensional plane stress problem. The equation of motion is obtained by Lagrange’s equations. In formation of the problem, the finite element method is used with a 12-node 2D plane element. In the solution process of the dynamic problem, a numerical time integration method of the Newmark method is used. In numerical analyses, influences of stiffness and damping coefficients of viscoelastic supports, material gradation index, porosity parameter, and porosity models on the dynamic response of thick functionally graded porous beam are investigated under the pulse load.

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On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model

Abstract: On wave propagation in twodimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model,

Cited by 53 publications

References 50 publications

Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load

Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load

Size-dependent free vibration and buckling analysis of sigmoid and power law functionally graded sandwich nanobeams with microstructural defects

Dynamic analysis of thick beams with functionally graded porous layers and viscoelastic support

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