Vibration analysis of a rotating cantilever double-tapered AFGM nanobeam

Ghafarian, Mohammadali; Shirinzadeh, Bijan; Wei, Weichen

doi:10.1007/s00542-020-04837-2

Cited by 10 publications

(2 citation statements)

References 36 publications

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“…Zenkour and Radwan [23] studied the deflection, stresses, buckling and vibration for a porous functionally graded (FG) curved nanobeam with different boundary conditions using a nonlocal strain gradient theory. Ghafarian et al [24] studied the vibration of rotating cantilevertapered axially FGM nanobeam using the nonlocal elasticity theory and Euler-Bernoulli beam theory.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of 2D-functionally graded multiple nanobeam system by meshless method

Ahmadi,

Davarpanah,

Sladek

et al. 2023

Preprint

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In this study, the free vibration of two-directional functionally graded (2D-FG) multiple nanobeam system are studied by considering Winkler elastic medium between each nanobeam. Effects of small-scale are considered using the theory of nonlocal elasticity. The material properties of the FG nanobeams are considered to vary over the length and thickness of the nanobeams. The equations of motion are derived using Hamilton's principle and the first order shear deformation beam theory (FSDBT), and a meshless formulation is developed to discreteze the governing equations. Numerical results are obtained for both cases of free-chain and clamped-chain multiple nanobeam system (MNBS). In order to validate the accuracy of the meshless formulation, numerical results for free vibration of 1D-FG single nanobeam are compared with the predictions of various beam theories and solution approaches. Also, free vibration of homogeneous double nanobeam system is analyzed and good agreement is observed while comparing these results with analytical solutions. In the numerical results, the effects of nonlocal parameter, slenderness ratio, power FG indices, elastic medium stiffness, number of nanobeams, boundary conditions and concentrated mass on the free vibration of 1D- and 2D-FG single and multiple nanobeam system are investigated.

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Section: Introductionmentioning

confidence: 99%

Vibration analysis of 2D-functionally graded multiple nanobeam system by meshless method

Ahmadi,

Davarpanah,

Sladek

et al. 2023

Preprint

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“…The results revealed the strengthening influence of regarding the material length scale parameter on natural frequencies. Ghadiri and Shafiei (2016), Babaei and Yang (2019) and Ghafarian et al (2020) employed the nonlocal Eringen elasticity theory to study the free vibrations of rotating nanobeams.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of pre/post-buckled rotating functionally graded sandwich micro-beams

Hosseini

Arvin

2020

Microsyst Technol

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This paper deals with free vibrations of pre/post-buckled rotating functionally graded sandwich micro-beams. The thermomechanical characteristics of functionally graded material phases are temperature dependent. The governing equations are in the framework of Euler-Bernoulli beam assumptions alongside with the von-Karman strain-displacement relation. The size effect is introduced into the equations of motion by employing the modified couple stress theory. The finite element technique is applied to the nonlinear governing equations to discretize the equations of motion. The Newton-Raphson technique is accompanied by a proposed algorithm to release the fundamental pre/post-buckling natural frequency. The significance of the material length scale parameter, the power law exponent, the rotation speed, the slenderness ratio and the rotor radius on the outcomes is examined.

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