Forced vibration analysis of functionally graded porous deep beams

Akbaş, Şeref Doğuşcan

doi:10.1016/j.compstruct.2017.12.013

Cited by 94 publications

(48 citation statements)

References 59 publications

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“…Since the formation of porosities is inevitable while fabricating, the effect of porosity has become extremely prominent for analysing an FG system. Akbas [31] explored the forced vibration analysis of FG porous deep beams under dynamic loads. Ebrahimi and Jafari [32] investigated the vibration analysis of porous FG beams subjected to various thermal loadings based on higher order shear deformation theory carried out by utilising the Navier solution method.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of a Thermally Loaded Porous Functionally Graded Rotor–Bearing System

et al. 2020

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The present work deals with natural and whirl frequency analysis of a porous functionally graded (FG) rotor–bearing system using the finite element method (FEM). Stiffness, mass and gyroscopic matrices are derived for porous and non-porous FG shafts by developing a novel two-noded porous FG shaft element using Timoshenko beam theory (TBT), considering the effects of translational inertia, rotatory inertia, gyroscopic moments and shear deformation. A functionally graded shaft whose inner core is comprised of stainless steel (SS) and an outer layer made of ceramic (ZrO2) is considered. The effects of porosity on the volume fractions and the material properties are modelled using a porosity index. The non-linear temperature distribution (NLTD) method based on the Fourier law of heat conduction is used for the temperature distribution in the radial direction. The natural and whirl frequencies of the porous and non-porous FG rotor systems have been computed for different power law indices, volume fractions of porosity and thermal gradients to investigate the influence of porosity on fundamental frequencies. It has been found that the power law index, volume fraction of porosity and thermal gradient have a significant influence on the natural and whirl frequencies of the FG rotor–bearing system.

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Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of a Thermally Loaded Porous Functionally Graded Rotor–Bearing System

et al. 2020

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“…An exhaustive literature review of FGMs reveals that the majority of the studies are concentrated on free/forced vibration analysis of FG beams with material property variation along the depth of the beam. The governing equations are derived using Hamilton’s principle while employing different higher order shear deformation theories and obtained the solution to these equations using Navier solution method or finite element method (FEM) [15,16]. A few researchers have concentrated on the dynamic analysis of FG beams where the material property varies axially along the beam.…”

Section: Introductionmentioning

confidence: 99%

Damping Enhancement Using Axially Functionally Graded Porous Structure Based on Acoustic Black Hole Effect

Zheng

Tang

2019

Materials

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The acoustic black hole (ABH) effect for damping flexural waves using axially functionally graded porous (FGP) structure is investigated. With proposed power-law porosity of FGP structure, ABH can be achieved and damping effect is enhanced. The physics are explained from divergent conditions of the integrated wave phase at composite ends. Numerical results show the damping effect is increased with power law index. The phenomenon is expounded by the characteristics of reflection coefficient and impedance. It indicates that increasing power law index leads to smaller wavelength along to the end, then the wave needs more oscillation cycles to travel, which leads to more energy absorption. Transient analysis for 2D FGP structure also shows the focalization and ABH effect of the flexural waves.

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“…In the literature, a wide range of studies have been done on the vibration, buckling and postbuckling analyses of beams especially micro-or nano-beams [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33], but there are few studies on the postbuckling analysis of porous micro-or nanostructures [34][35][36][37]. She et al [34] presented the thermal buckling and postbuckling of FG nanotubes with porosities.…”

Section: Introductionmentioning

confidence: 99%

Effect of nano-porosity on postbuckling of non-uniform microbeams

Khorshidi

2019

SN Appl. Sci.

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This study is accomplished to investigate the effect of different types of porosity distribution on the static postbuckling response of non-uniform microbeams under the simply supported boundary conditions. The modified couple stress theory is used to capture the size effect in microscales, and the von-Karman strain-displacement relation is employed to describe the nonlinearity effect. The relative elasticity characteristics, e.g., Young's modulus and the material length scale parameter, are considered as a function of relative mass density. The nonlinear governing equations for Euler-Bernoulli porous microbeams with non-uniform cross section are derived by a variational energy method and solved using a closed-form solution. The critical buckling load and the static postbuckling response of porous non-uniform microbeams, non-porous non-uniform microbeams and porous uniform microbeams are compared with together. Therefore, effects of nano-porosity and non-uniformity on the postbuckling behavior of the microbeam are investigated.

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Forced vibration analysis of functionally graded porous deep beams

Cited by 94 publications

References 59 publications

Free Vibration Analysis of a Thermally Loaded Porous Functionally Graded Rotor–Bearing System

Free Vibration Analysis of a Thermally Loaded Porous Functionally Graded Rotor–Bearing System

Damping Enhancement Using Axially Functionally Graded Porous Structure Based on Acoustic Black Hole Effect

Effect of nano-porosity on postbuckling of non-uniform microbeams

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